Answer:
Step-by-step explanation:
The higher standard deviation of any data represents diversified data or data having more scattered value . Average value may be same for two samples of data having different standard deviation . So option one is incorrect. 3 rd option is also incorrect.
The scores of the second test were more widespread than the first , because its standard deviation is more for second test. option 2 is in- correct .
none is correct.
None of the supplied statements are true. The standard deviation is a measure of dispersion from an average, showing the spread of test scores, not average scores or proximity of scores. Therefore, a higher standard deviation means scores were more dispersed, not closer together.
Explanation:The correct statement is None of the above are true. The standard deviation is a measure of dispersion from an average. It reflects the variability or spread in a set of data. It does not provide information about the actual scores, their averages, or whether one test's scores were generally higher or lower than another's.
In this case, a standard deviation of 3.8 for the first test and 4.8 for the second test indicates that the test scores were more spread out around the mean on the second test compared to the first. It does not point to an increase in the average test grade. Furthermore, a higher standard deviation does not mean that the test scores were closer together; actually, it's the opposite – a higher standard deviation indicates that scores were more widely dispersed.
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AHHHH HELP I WILL GIVE BRAINLY NO CAP NO CAP
Answer:
The answer to your question is letter A
Step-by-step explanation:
From the graph, we conclude that it is a vertical ellipse with center (0, 0).
Also from the graph, we calculate a and b
a = 11, a is the distance from the center to the vertical vertex
b= 9, b is the distance from the center to the horizontal vertex
Equation
[tex]\frac{x^{2}}{9^{2}} + \frac{y^{2}}{11^{2}} = 1[/tex]
Simplification
[tex]\frac{x^{2}}{81} + \frac{y^{2}}{111} = 1[/tex]
The rodriguez brother buys f boxes of frozen burger meat, each containing m slices of meat. Every week, the family eats b burgers. Write an equation in terms of f, m,, and b that represents the number of remaining burger meat,r, after 5 weeks
Answer:
[tex]r=f\times m-5b[/tex]
Step-by-step explanation:
Given:
Number of boxes of burger meat = [tex]f[/tex]
Number of slices of meat in each box = [tex]m[/tex]
Number of burgers the family eats each week = [tex]b[/tex]
Number of burger meat remaining = [tex]r[/tex]
To write: An equation in terms of [tex]f, m,\ and\ b[/tex] that represents the number of remaining burger meat, [tex]r[/tex], after 5 weeks.
Now, since each box contain 'm' slices.
Therefore, by unitary method, number of slices of meat in 'f' boxes is given as:
[tex]Total\ number\ of\ slices=f\times m[/tex]
Now, each week burger consumption = 'b'
So, 'b' slices of meat are eaten each week. Again by unitary method, the number of slices eaten in 5 weeks is given as:
[tex]\textrm{Number of slices eaten in 5 weeks}=5b[/tex]
Now, Slices remaining = Total number of slices - Number of slices eaten in 5 weeks.
Therefore, [tex]r=f\times m-5b[/tex]
Hence, the equation that represents the number of slices of burger meat remaining in terms of 'f', 'm', and 'b' is given as:
[tex]r=f\times m-5b[/tex]
A wheel on carmen's bike is 1.1 m in diameter. Carmen races the bicycle for 93m. How many times dose the wheel turn as the bicycle travels this distance
93÷1.1= 84.545454545
Answer:approximately 30 times
Step-by-step explanation:
The wheel on Carmen's bike circular in shape and has a diameter of 1.1 meter.
Radius = diameter/2 = 1.1/2 = 0.55 meter.
When the wheel completes one revolution, the distance covered is equal to the circumference of the wheel.
The formula for determining the circumference of the wheel is expressed as
Circumference = 2πr
Where π is a constant whose value is 3.14
Circumference = 2 × 3.14 × 0.55 = 3.454 metres.
Carmen races the bicycle for 93m. Therefore, the number of times that the wheel of the bicycle turns as it travels this distance would be
93 / 3.454 = 26.9 times
Traditions clothing store is having a sale. Shirts that were regularly priced at $20 are on sale $17. Explain how to find the discount offered for the price of the shirts?
Answer:
Step-by-step explanation:
Let x represent the discount in percentage offered for the price of the shirts.
The regular price of the shirts was $20
The price for which the shirt was offered for sale is $17 which also represents the discounted price.
The discount would be
20 - 17 = $3
The percentage discount would be
The discount/ the regular price × 100%.
Therefore,
% discount = 3/20 × 100 = 0.15 × 100
= 15%
Part A: In what way is the algorithmic process the same for integers and polynomials?
Part B: In what way is the algorithmic process different for integers and polynomials?
Select one answer for Part A and one answer for Part B.
A: Polynomial long division and integer division are not the same at all.
A: When using polynomial long division, the same process of divide, multiply, and bring down applies, just like when dividing integers.
A: When using polynomial long division, the multiply, subtract, and bring down portion applies just like when dividing integers.
B: When using polynomial long division, polynomial terms are added, not subtracted like in integer division.
A: When using polynomial long division, the same process of divide, multiply, subtract, bring down applies, just like when dividing integers.
B: Polynomial long division uses powers of variables instead of place values used when dividing integers, and only the first term of the divisor is considered in the divide step.
B: Polynomial long division treats remainders differently than they are treated in integer long division.
B: Polynomial long division and integer division are completely the same.
Answer:
A: When using polynomial long division, the multiply, subtract, and bring down portion applies just like when dividing integers
B: Polynomial long division uses powers of variables instead of place values used when dividing integers, and only the first term of the divisor is considered in the divide step
Step-by-step explanation:
The above answers are pretty self-explanatory.
I find polynomial division easier, because the "trial division" step uses only the highest-degree terms, so always gives the exact result you need for the quotient. (There's no "guess and check" as with integer long division.) Powers of the variable take the place of powers of 10 (or whatever number base you're using) in integer long division.
__
For integer long division, the steps are ...
Divide the leading portion of the dividend by the divisor to determine the quotient digit.Multiply the divisor by the quotient digit and subtract the result from the dividend, paying attention to place value. If the quotient digit is too large (the difference is negative), choose a smaller value and repeat.Append the next succeeding digit of the dividend to the difference from the above step to form the new dividend and repeat from the first step until the desired quotient precision is achieved.If all given digits of the dividend have been exhausted, append zero to form the new dividend.Any remainder can be expressed as a fraction with the divisor as its denominator. (That fraction is added to the rest of the quotient.)For polynomial long division, the steps are similar.
Divide the highest degree term of the dividend by the highest-degree term of the divisor to form the next term of the quotient.Multiply the quotient term just found by the divisor and subtract the result from the dividend to obtain the new dividend.Repeat from the first step until the degree of the dividend is less than that of the divisor. If this remainder is non-zero, it can be expressed as a fraction with the divisor as its denominator. (That fraction is added to the rest of the quotient.)_____
Examples of each are shown in the attachments.
Sue has $40,000 in her savings account. She use some of the money to put towards a house. She has $36,479 left. How much did she put towards the house. Solve and write an equation with a variable to represent the unknown.
Answer:
x = $3,521
Step-by-step explanation:
let the amount of money that she put towards a house be represented by the variable x
Hence,
total savings = amount put towards house + amount left
$40,000 = x + $36,479 (rearrange)
x + $36,479 = $40,000 (subtract $36,479 from both sides)
x = $40,000 - $36,479
x = $3,521
Aparty rental company has chairs and tables for rent. The total cost to rent 5 chairs and 6 tables is $65. The total cost to
rent 3 chairs and 2 tables is $25. What is the cost to rent each chair and each table?
Answer:the cost of renting each chair is $2.5
the cost of renting each table is $8.75
Step-by-step explanation:
Let x represent the cost of renting each chair.
Let y represent the cost of renting each table.
The total cost to rent 5 chairs and 6 tables is $65. This means that
5x + 6y = 65 - - -- - - - - - - -1
The total cost to rent 3 chairs and 2 tables is $25. This means that
3x + 2y = 25 - - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 5, it becomes
15x + 18y = 195
15x + 10y = 125
Subtracting, it becomes
8y = 70
y = 70/8 = 8.75
Substituting y = 8.75 into equation 1, it becomes
5x + 6 × 8.75 = 65
5x + 52.5 = 65
5x = 65 - 52.5 = 12.5
x = 12.5/5 = 2.5
A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a:________ a) strongerb) weakerc) positived) negative
Answer: d) negative
Step-by-step explanation:
The term correlation is used to define the relationship between the two variables .
We say there is a positive relationship between them if one increases / decreases then other also increases / decreases simultaneously.Here, the variables vary in the same direction.
If one variable increases while the other decreases , then we call it a negative relationship between them.Here, the variables vary in the opposite direction.
∴ A relationship between two variables in which the variables vary in the opposite direction (i.e., one increases while the other decreases, or vice versa) is referred to as a: negative correlation.
Hence, the correct answer is d) negative
11. A(-2,1), B(2,5), C(5,1) (round answers to the nearest tenth)
Perimeter___________
Area_______________
See the attached picture:
If radio station call letters must begin with either K or W and must include either two or three additional letters, how many different possibilities are there? There are different possibilities. (Simplify your answer.)
Answer:
Step-by-step explanation:
Jacob and Ali want to run from one corner of a football field to the opposite corner. The rectangular football field is 50 yards wide and 120 yards long. Jacob runs around the perimeter of the field, while Ali runs in a straight line through the middle of the field. How many more yards does Jacob run than Ali?
Answer:
Jacob ran 40 yards more than Ali.
Step-by-step explanation:
Football field is in the shape of a rectangle having dimensions 120 yards × 50 yards
Since Jacob runs around the perimeter of the field from one corner to other corner, therefore, distance run by Jacob = [tex](\text{Length+width})[/tex]
Distance run by Jacob = 50 + 120 = 170 yards
Ali runs through the middle of the field diagonally on a straight line.
Therefore, distance covered by Ali = [tex]\sqrt{\text{length}^{2}+\text{width}^{2}}[/tex]
= [tex]\sqrt{(50)^{2}+(120)^{2}}[/tex]
= [tex]\sqrt{2500+14400}[/tex]
= [tex]\sqrt{16900}[/tex]
= 130 yards
Now difference between the distance covered by Jacob and Ali
= 170 - 130
= 40 yards
Therefore, Jacob ran 40 yards more than Ali.
Help plz, Worth 30 pts, Will give branliest!
A.11
Step-by-step explanation:
Here apply the interpolation formula to find the value of y
From the table, you can interpolate the value of y where x is 92 by using the points (91,10) and (98,15)
The formula to apply is;
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} *(x-x_1)[/tex]
where
(x₁,y₁)=(91,10)
(x₂,y₂)=(98,15)
(x,y)=(92,?)
Substitute values in the equation;
[tex]y-10=\frac{15-10}{98-91} *(92-91)\\\\y-10=\frac{5}{7} *(1)\\\\7(y-10)=5\\7y-70=5\\7y=5+70\\\\7y=75\\\\y=75/7=10.71\\\\y=11[/tex]
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What is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57.
Group of answer choices
$56, $61, $50, $57
$56, $57, $56.25
Answer:
In order to find the correct answer you must use finances and use algebraic equations . You may also have to use precalculus. There is a group of answer choices, its really difficult to find the answer without more instructions. I don't understand what answer your looking for. You may be able to find the answer using finances and other detailed measures. Try using graph paper and write down finances I'm trying my best to help you.
Step-by-step explanation:
finances Algebra Precalculus
$56, $57, $56.25 is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
To calculate the 4-day SMA (Simple Moving Average)
We need to add up the closing prices for the last 4 days and divide the sum by 4.
We then move the window one day forward and repeat the process.
Using the given closing prices, we can calculate the 4-day SMA as follows:
Day 1: (56 + 61 + 50 + 57) / 4 = 56
Day 2: (61 + 50 + 57 + 60) / 4 = 57
Day 3: (50 + 57 + 60 + 58) / 4 = 56.25
Day 4: (57 + 60 + 58 + 57) / 4 = 58
The 4-day SMA for the given closing prices is: $56, $57, $56.25, $58.
Hence, $56, $57, $56.25 is the 4-day SMA for the following closing prices: $56, $61, $50, $57, $60, $58, and $57.
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A junk box in your room contains a dozen old batteries, five of which are totally dead. You start picking batteries one at a time and testing them. Find the probability of each outcome.
Answer:
7/12 of a chance
Step-by-step explanation:
If you have 12 batteries and 5 are dead, 12 - 5 is 7, so there's going to be 7/12 of a chance.
What is (-7)^3 / (-7)^4 simplified? Can you walk me through the steps?
Answer:
(-7)∧-1
Step-by-step explanation:
(-7)^3 / (-7)^4
taking each and simplifing it
-7³ = -7 x -7 x -7
(-7)∧4 = -7 x -7 x -7 x -7
(-7)^3 / (-7)^4 = (-7 x -7 x -7 ) / ( -7 x -7 x -7 x -7) = 1/-7
1/-7 ( 1/ means raise to power -1)
1/-7 = (-7)∧-1
There are 45 students who play a woodwind instrument in the school band. Of these, 18 play the saxophone. What percent of these students play the saxophone
Answer:
40% students play the saxophone.
Step-by-step explanation:
Given:
Total Number of students who play woodwind instrument = 45
Number of students who play saxophone = 18
We need to find the percent of students who play saxophone.
Solution:
Now we can say that;
To find the percent of students who play saxophone we will divide Number of students who play saxophone by Total Number of students who play woodwind instrument and the multiply by 100.
framing in equation form we get;
percent of students who play saxophone = [tex]\frac{18}{45}\times100= 40\%[/tex]
Hence 40% students play the saxophone.
The percent of these students play the saxophone is 40%.
Using this formula
Percentage=Number of student that play saxophone/Number of student that play woodwind instrument×100
Where:
Number of student that play saxophone=18
Number of student that play woodwind instrument=45
Let plug in the formula
Percentage=18/45×100
Percentage=40%
Inconclusion the percent of these students play the saxophone is 40%.
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You have $50,000 to invest, and two funds that you'd like to invest in. The You-Risk-It Fund (Fund Y) yields 14% interest. The Extra-Dull Fund (Fund X) yields 6% interest. Because of college financial-aid implications, you don't think you can afford to earn more than $4,500 in interest income this year. How much should you put in each fund?
Answer:
Principal Fund Y = $18,750
Principal Fund X = $31,250
Step-by-step explanation:
Given;
Total amount to invest = $50,000
Maximum amount of interest =$4,500
For fund Y;
Let y represent the amount invested(principal) in fund Y
Interest = 14% = 0.14
Time = 1 year
Interest = principal × rate × time
Interest on fund y = y × 0.14 × 1= 0.14y
For fund X;
The amount invested in fund X can be given as
x =50,000-y
Rate = 6% = 0.06
Time = 1 year
Interest on fund X = x × 0.06 ×1 = 0.06x = 0.06(50,000-y)
Total interest = interest on fund Y + fund X
$4,500 = 0.14y + 0.06(50,000 - y)
4500 = 0.14y - 0.06y + 3000
0.8y = 4500-3000
0.8y = 1500
y = 1500/0.08
y = $18,750
x = $50,000 - $18,750
x = $31,250
In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 37 and a standard deviation of 9. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 28 and 46?
Answer:
0.6826
Step-by-step explanation:
Mean(μ) = 37
Standard deviation (σ) = 9
P(28 < x < 46) = ???
Using normal distribution
Z = (x - μ)/σ
For x = 28
Z = (28 - 37)/9
Z = -9/9
Z = -1
For x = 46
Z = (46 - 37)/9
Z = 9/9
Z = 1
We now have
P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
From the table, Z = 1 = 0.3413
φ(Z) = 0.3413
Recall that
When Z is positive, P(x<a) = 0.5 +φ(Z)
P(Z<1)= 0.5 + 0.3413
= 0.8413
When Z is negative, P(x<a) = 0.5 - φ(Z)
P(Z< -1)= 0.5 - 0.3413
= 0.1587
We now have
0.8413 - 0.1587
= 0.6826
Adrienne's annual take-home pay is $57,000. What is the maximum amount that she can spend per month paying off credit cards and loans and not be in danger of credit overload?
A. $950.00
B. $1187.50
C. $4750.00
D. $3800.00
Answer:
Option C. is correct.
Step-by-step explanation:
Given:
Adrienne's annual take-home pay = $57,000
To find:
The maximum amount that she can spend per month on paying off credit cards and loans and not be in danger of credit overload.
Solution:
Number of months in a year = 12
So, amount she can spend per month =
Annual pay of Adrienne / Number of months in a year = [tex]\frac{57000}{12} =\frac{28500}{6}=\frac{14250}{3}=4750[/tex]
So, option C. is correct.
Answer:
A. $950.00
Step-by-step explanation:
A p e x
Three red balls, 4 white balls, and 1 green ball are in a bag. A ball is drawn without replacement. What is the probability that 3 balls can be drawn without drawing the green ball?
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
Three red balls, 4 white balls, and 1 green ball are in a bag. A ball is drawn without replacement.
total balls = 3 red + 4 white + 1 green = 8 balls
the number of balls that are not green is 7
pick 3 balls from 7 balls that are not green
[tex]nCr= \frac{n!}{r!(n-r)!}[/tex]
[tex]P(not \ green)=\frac{7C3}{8C3}[/tex]
[tex]7C3= \frac{7!}{3!(7-3)!}=35[/tex]
[tex]8C3= \frac{8!}{3!(8-3)!} =56[/tex]
[tex]P(3 \ balls \ drawn)=\frac{35}{56} =\frac{5}{8}[/tex]
In a school, 3/4 of the students study a language. Of those who study a language, 3/5 study French. Find the ratio of students who study French to students who do not study French. Give your answer in its simplest form.
Answer: 9:11
Step-by-step explanation:
Let x be the total number of students.
If 3/4 of students study a language That mean 3x/4 students study a language.
Number of students that don't study a language becomes
x - 3x/4 = x/4.
and 3/5 of those who study language study French, that means 3x/4 * 3/5 of students study French.
This gives 3x/4 * 3/5 = 9x/20 Studying French.
Number of students that study language but do not study French becomes
3x/4 - 9x/20 = 6x/20
Total number of students that do not study French becomes
[total number of students not studying any language] + [total number of students studying a language but do not study French ]
Which becomes
x/4 + 6x/20 = 11x/20
Hence ratio of those that study French to those that do not study French Becomes
9x/20 : 11x/20
9:11.
Round all answers to the nearest whole number. How many of the people surveyed make less than 5 calls per day? What percentage of those surveyed make at least 9 calls per day? % How many people were surveyed?
Answer:
a). 18
b). 26%
c). 39
Step-by-step explanation:
Given question is incomplete; here is the complete question attached.
a). In this part we have to calculate the number of the people surveyed who make less than 5 calls.
From the given table,
Number of people surveyed who make less than 5 calls Or 1 - 4 calls = 18
b). Total number of people surveyed = 18 + 11 + 5 + 3 + 2 = 39
Number of people surveyed, make at least 9 calls = 5 + 3 + 2 = 10
Percentage of these people = [tex]\frac{\text{People who make calls more than 9 calls per day}}{\text{Total number of people surveyed}}\times 100[/tex]
= [tex]\frac{10}{39}\times 100[/tex]
= 25.64%
≈ 26%
c). Total number of people surveyed = 18 + 11 + 5 + 3 + 2 = 39
Jennifer made 5 Liters of punch for her party. Her brother made another 750 milliliters if they combine the two batches how many 180 milliliters servings would they have would there be any punch left over if so how much
Answer:
Step-by-step explanation:
The total amount of punch that Jennifer made for her party is 5 Liters. Her brother made another 750 milliliters.
1000 milliliters = 1 liter
750 milliliters = 750/1000 = 0.75Liter
if they combine the two batches, the total amount made would be
5 + 0.75 = 5.75Liter
= 5.75 × 1000 = 5750 milliliters
The number of 180 milliliters servings would be
5750/180 = 31 servings
There would be leftovers of 170 milliliters
Imagine that the interest rate on your savings account was 1% per year and inflation was 2% per year. After 1 year, how much would you be able to buy with the money in this account?
a. More than today
b. Exactly the same
c. Less than today
d. I do not know
Answer:
C Less than today
Step-by-step explanation:
If i save $100 at 1% per annum after 1 year I will get $101, but with inflation rate of 2%per annum a commodity that is worth $100 now will be worth $102 after 1 year so u can't buy same commodity I can buy today after 1 year even when my money has increase.
The purchasing power of money in a savings account would decrease after 1 year due to inflation.
Explanation:To calculate how much you would be able to buy after 1 year, we need to consider the effect of both the interest rate and inflation. With an interest rate of 1% per year, your savings account would increase by 1% over 1 year. However, with an inflation rate of 2% per year, the price of goods and services would also increase by 2% over the same period.
This means that the purchasing power of your money would decrease. To calculate the actual increase or decrease in purchasing power, you can subtract the inflation rate from the interest rate. In this case, 1% - 2% = -1%.
Therefore, the correct answer is c. Less than today. After 1 year, you would be able to buy less with the money in your savings account.
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Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent and invested $10,000 for one year at an annual interest rate of 8 percent compounded semiannually. What is the total amount of interest that Kevin earned on the two investments?A. $880
B. $1,088
C. $1,253
D. $1,280
E. $1,296
Answer:
Total interest =$1296
Step-by-step explanation:
Kevin invested $8,000 for one year at a simple annual interest rate of 6 percent
Simple interest = [tex]\frac{Pnr}{100}[/tex]
P=8000, n=1 year and r=6
interest = [tex]\frac{8000(1)(6)}{100}[/tex]
Interest = 480 dollars
[tex]compound \ interest =P(1+\frac{r}{n} )^{nt}-p[/tex]
P= 10000, t=1, r=8%=0.08, n=2 for semiannually
[tex]compound \ interest =10000(1+\frac{0.08}{2} )^{2(1)}-10000[/tex]
Interest = 10816- 10000=816
Total interest = [tex]480+816=1296[/tex]
Tell which measure of central tendency best describes the data. Time spent on Internet (min/day): 75 38 43 120 65 48 52 A. Mean B. Median C. Mode
Answer:
B. Median
Step-by-step explanation:
We have been given data about time spent on Internet (min/day). We are asked to determine the best measure of central tendency for the given data.
Data: 75, 38, 43, 120, 65, 48, 52,
We can see that our given data has a very large value outlier (120), so it will increase the mean.
There is no mode for the given data set as no value repeats.
We know that median is best measure for data set with large valued outliers because median is not affected by outliers.
Therefore, option B is the correct choice.
The measure of central tendency that best describes the data is B. Median.
Which measure of central tendency best describes the data on time spent on the Internet?Mean:
= (75 + 38 + 43 + 120 + 65 + 48 + 52) / 7
= 69.86
Median:
We arrange data in ascending order: 38, 43, 48, 52, 65, 75, 120. Since there are seven values, the median is the middle value: 52
Mode: There is no value that appears more than once in the data set.
Therefore, the measure of central tendency that best describes the data is B. Median.
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Daisy is going 12 mph and Sally is going 8 mph if they where 60 miles apart how many hours would it take for them to meet up
Answer:
3 hours
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
Let
s ----> the speed in mph
d -----> the distance in miles
t ----> the time in hours
x ----> distance traveled by Daisy to the meeting point
60-x ----> distance traveled by Sally to the meeting point
so
[tex]s=\frac{d}{t}[/tex]
Solve for d
[tex]d=st[/tex]
Distance traveled by Daisy to the meeting point
[tex]d=st[/tex]
we have
[tex]d=x\ mi\\s=12\ mph[/tex]
substitute
[tex]x=12t[/tex] ----> equation A
Distance traveled by Sally to the meeting point
[tex]d=st[/tex]
we have
[tex]d=(60-x)\ mi\\s=8\ mph[/tex]
substitute
[tex]60-x=8t[/tex] ----> equation B
substitute equation A in equation B
[tex]60-12t=8t[/tex]
solve for t
[tex]12t+8t=60\\20t=60\\t=3\ hours[/tex]
calculate the current in a circuit with resistance (r) of 30 and electromotive force (e) of 120vac
Answer:
E=I(R+r)
R+r=30
I=E/(R+r)
I=120/30
I=4A
Step-by-step explanation:
Final answer:
Using Ohm's Law (I = E/R), the current in a circuit with a resistance of 30 ohms and electromotive force of 120 VAC is calculated as 4 amperes.
Explanation:
To calculate the current (I) in a circuit when given the resistance (R) and electromotive force (E), we can use Ohm's Law, which states that current is equal to voltage divided by resistance (I = E/R). Using the values from the question, the resistance is 30 ohms and the electromotive force is 120 VAC. Therefore, the current in the circuit can be calculated as follows:
I = E/R = 120 V / 30 Ω = 4 A
So, the current in the circuit is 4 amperes.
Packages of batteries normally sell for $4.99. They are now 20% off. How much would you have to pay?
Answer:
You will have to pay $ 3.99 for the package of batteries with 20% discount
Step-by-step explanation:
Standard price of the batteries packages = $ 4.99
Discount = 20% = 0.2
Discounted price = Standard price - Discount
Discounted price = 4.99 - (0.2 * 4.99)
Discounted price = 4.99 - 1.00 (Rounding to the next tenth)
Discounted price = 3.99
You will have to pay $ 3.99 for the package of batteries with 20% discount
Final answer:
A package of batteries with a 20% discount off the original price of $4.99 would be approximately $3.99 after subtracting the discount amount, which is $0.998.
Explanation:
To calculate how much the student would have to pay for packages of batteries that normally sell for $4.99 with a 20% discount, we first need to determine the amount of the discount. To find the discount amount, multiply the original price by the discount percentage:
$4.99 × 0.20 = $0.998
Now, subtract the discount amount from the original price to get the sale price:
$4.99 - $0.998 = $3.992
The discounted price will be approximately $3.99, as the final amount is traditionally rounded to the nearest cent.
One store has 3 Managers and 12 Salespeople.Another store has 4 Managaers and 15 salespeople. Do both stores have equivalent ratios of managers to salespeople explain.
Answer:
The ratio of mangers to sales people of the stores are not equivalent as the ratios in their simplest form are not equal.
Step-by-step explanation:
Given:
One store has:
3 Managers and 12 sales persons
Another store has:
4 Managers and 15 sales persons.
To find if the ratio of mangers to sales people are equivalent.
Solution:
Store A:
Managers = 3
Sales people = 12
Ratio of mangers to sales people for store A = [tex]\frac{3}{12}[/tex] =[tex]\frac{3\div3}{12\div 3}=\frac{1}{4}[/tex] (Simplest ratio)
Store B:
Managers = 4
Sales people = 15
Ratio of mangers to sales people for store B = [tex]\frac{4}{15}[/tex]
The ratio is in the simplest form and cannot be reduced further.
We can see that : [tex]\frac{1}{4}\neq \frac{4}{15}[/tex]
Hence, the ratio of mangers to sales people of the stores are not equivalent.