True or false: the mean of a normal distribution has no effect on its spread. explain your answer. choose the correct answer below.
a. false. the spread of a normal distribution is completely determined by its mean.
b. true. the spread of a normal distribution is completely determined by its standard deviation.
c. true. the spread of a normal distribution is completely determined by its median.
d. false. the spread of a normal distribution is determined by both its mean and standard deviation.
Claire runs 100 meters in 17 seconds what is her speed in meters per second?
Daniel is enrolling for a test prep class. The expression below represents the hourly charges, including the cost for the materials. $30x + $65
1. The constant of the expression represents the ___ A. cost of materials
B. Cost per hour
C. Number of hours
2. and the coefficient of x represents the__ A. Cost per hour
B. cost of materials
C. number of hours
Answer:
(1) The constant of the expression represents the cost of material .
Option (A) is correct .
(2) The coefficient of x represents the cost per hour .
Option (A) is correct .
Step-by-step explanation:
As given the expression
Total cost of hourly wage including the cost for the material = $30x + $65
(1) The constant of the expression represents the cost of material .
Option (A) is correct .
(2) The coefficient of x represents the cost per hour .
Option (A) is correct .
Women's shoe size follow a normal distribution with a mean of size 7.5 and a standard deviation of 1.5 sizes. Using the 68-95-99.7 rule, if a store owner wants to stock shoe that fit. 68% of women, what range of sizes should the owner order
To fit 68% of women, the store owner should stock shoe sizes between 6 and 9.
Explanation:To determine the range of shoe sizes that the store owner should order in order to fit 68% of women, we can use the 68-95-99.7 rule, which states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
In this case, the mean shoe size is 7.5 and the standard deviation is 1.5. So, we can calculate the range by adding and subtracting one standard deviation from the mean:
Lower Bound = Mean - Standard Deviation
Upper Bound = Mean + Standard Deviation
Therefore, the owner should stock shoe sizes between 6 and 9 to fit 68% of women.
If g is an odd function, which pair of points could be found on the graph of g?
A) (-1,16) and (1,16)
B) (3,-5) and (-3,-5)
C) (4,28) and (4,-28)
D) (-2,32) and (2,-32)
Answer:
D is the only option that satisfies this. f(x)=-32 and f(-2)=-f(x)=32.
Step-by-step explanation:
A statistics class at wilmington college has 25 students of which 15 are math majors and 10 are business majors. the professor randomly selects five students to work together on a group project. what is the mean of this probability distribution if selecting a business major is defined as a success?
Final answer:
The mean of this probability distribution is 2.
Explanation:
To find the mean of the probability distribution, we need to calculate the expected value. In this case, the random variable is selecting a business major as a success. So, the probability of selecting a business major is 10/25, or 0.4. The number of successes (business majors) in the group project can range from 0 to 5. Using the formula for expected value:
E(X) = p1 * x1 + p2 * x2 + ... + pn * xn,
where pi is the probability of xi occurring, we can calculate the mean as:
E(X) = (0.4 * 0) + (0.4 * 1) + (0.4 * 2) + (0.4 * 3) + (0.4 * 4) + (0.4 * 5)
E(X) = 2
Therefore, the mean of this probability distribution is 2.
Translate to an algebraic expression
34 more than q
Sarah started 3 miles below the rim of the canyon and hiked until she was 8 miles above the rim. Her brother Sam said she hiked 5 miles. Sarah said she hiked 11 miles.
Who is correct and why?
A. Sam is correct because |3 – 8| = 5.
B. Sam is correct because |–3 – 8| = 5.
C. Sarah is correct because |–3 + 8| = 11.
D. Sarah is correct because |–3 – 8| = 11.
-3 to 0 would be 3 then add 8 = 11 miles.
Sarah is correct
answer is D. Sarah is correct because |–3 – 8| = 11.
Sarah is correct because |–3 – 8| = 11, answer is option D. using number line concept.
What is number line geometery?A number line is a horizontal line that has numbers in equal intervals.The numbers included on the line can be negative or positive taking zero as a reference point at the center called the origin.
The horizontal straight lines in which the integers are placed in equal intervals increase as we go right.The horizontal straight lines in which the integers are placed in equal intervals decreases as we go left.
A vector is an object that has both a magnitude as wel as direction. direction. It is represented by an arrow (head) and the tail which indicates the direction.The length is proportional to the quantity's magnitude.The resultant vector can be calculated using vector addition, and vector subtraction.Unit vector always has a magnitude of one and tells about the direction
explanation:- using number line concept.
-3 to 0 would be 3 then add 8 = 11 miles.
⇒Sarah started 3 miles below the rim = -3
⇒ initially she was above 8 miles
⇒ total distance first from -3 to 0 and than from o to 8
Therefore total distance = |–3 – 8| = 11.
Hence the answer is option D. Sarah is correct because |–3 – 8| = 11.
Learn more about Number line here:-https://brainly.com/question/25748640
#SPJ2
"most humans find it easier to remember words, rather than numbers. if you tell someone to go to www.icann.org, they can probably remember that. if you told them to go to 192.0.32.7, they would have a difficult time remembering an ip address. computers process in numbers. dns is the process of translating words into numbers. there is a second translation that takes place. humans think in base 10 numbers. computers process in base 2 numbers. the base 10 ip address 192.0.32.7 in base 2 numbers is 11000000.00000000.00100000.00000111. what happens if you cut and paste these base 2 numbers into a browser?"
If you were to cut and paste the base 2 numbers 11000000.00000000.00100000.00000111 into a browser, it would not work as expected.
Why is this so?Browsers expect IP addresses to be provided in the standard base 10 format, not in base 2.
The base 2 representation you mentioned is the binary representation of the IP address 192.0.32.7, but browsers require the IP address to be in decimal format to establish a successful connection.
A browser is a software application used to access and view information on the World Wide Web, displaying webpages and supporting various internet activities.
Learn more about browser at:
https://brainly.com/question/22650550
#SPJ6
Mr. Henderson did not realize his checking account had a balance of $200 when he used his debit card for a $317.25 purchase. What is his checking account balance after the purchase?
find the (f of f) (0) f(x)=3x-2
To find (f of f)(0), substitute the value of f(0) into the function and evaluate.
Explanation:To find (f of f)(0), we need to first find f(f(0)). Given that f(x) = 3x - 2, let's substitute f(0) into the function.
Therefore, (f of f)(0) is equal to -8.
If you sell 30 items at $200 a piece and your commission rate is 20%, how much commission do you earn
Answer:
$1200 a
Step-by-step explanation:
You sell 30 items at $200 a piece and your commission rate is 20%
Price of 30 items = 30 × 200 = $6,000
Your commission = 20% × 6,000
= [tex]\frac{20}{100}[/tex] × 6,000
= 0.20 × 6,000
= $1200
You earn $1200 as commission.
Find the solution to the initial value problem (1 + x^{5}) y' + 5 x^{4} y = 5 x^{8}
Divide. Write your answer as a fraction in simplest form.
9/10÷(−6/5)=
Use multiples to write two fractions equivalent 3/8
Answer:
its 3
Step-by-step explanation:
333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
Use properties of equality to simplify each of the following expressions so that you can simplify them in your head. Identify the properties used and describe how you used them.
1. 4 • (–3) • 5
2. (2.25 • 23) • 4
4. 5 • 12 • (–2)
5. 35(26)(0)
Find the maximum value of the function
When going more than 38 miles per hour, the gas mileage of a certain car fits the model y = 43.81 - .395x where x is the speed of the car in miles per hour and y is the miles per gallon of gasoline. Based on this model, at what speed will the car average 15 miles per gallon? (Round to nearest whole number.)
Answer:
d. 73
The car will average 15 miles per gallon at the speed 73 miles per hour
Step-by-step explanation:
Your equation is: y = 43.81 - 0.395x
We need to solve for x if y = 15
So plug 15 into your equation: 15 = 43.81 - 0.395x
Then rearrange your equation to get the variable by itself and change the sign: 0.395x = 43.81 - 15
Subtract 43.81 - 15 = 28.81
0.395x = 28.81
Then divide both sides of the equation by 0.395
0.395x/0.395 = 28.81/0.395
x = 72.9367088608
Then (Round to nearest whole number.)
Giving you your solution of 73
To Conclude:
The car will average 15 miles per gallon at the speed 73 miles per hour
What is 7:9 to 48 states
The numbers on two consecutively numbered gym lockers have a sum of 143. What are the locker numbers
Another tent has the perimeter of 7.2 metres. If the width is 1.3 meters, what is the length?
Which angles are corresponding angles?
write an algebraic expression to model each situation. you have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform. if you work x hours per week, how much will you make during the first week? show all your work.
Answer:
The algebraic expression to the model is [tex]8.5x-15[/tex]
Step-by-step explanation:
Consider the provide situation.
You have a summer job at a car wash. you earn $8.50 per hour and are expected to pay a one-time fee of $15 for the uniform.
Let you work for x hours per week and you earn $8.50 per hours, so the money you will earn can be represented as:
8.50 times x or 8.50x
Now you need to pay one time fee of $15 for the uniform.
For the one time fee use a negative sign.
Thus, the required expression is:
[tex]8.50x-15[/tex]
The algebraic expression to the model is [tex]8.5x-15[/tex]
six Bakers share 7.5 kg of flour equals how much flour did they each receive
Convert 0.5% to a decimal. 0.5 0.05 0.005 5.0
Answer:
the answer is o.oo5
Step-by-step explanation:
Square 1 has a side length of x, and square 2 has a side length of y. Square 2 is formed by joining the midpoints of the sides of square 1 in order. If x = 2, find the ratio of the perimeter of square 1 to the perimeter of square 2.. . A. 2:1 . B. 1:2 . C. 1: Radical 2 . D. 2: radical 2 Ask for details Follow Report by Btie3oliv8iakram
Answer:
D. 2:√2
Step-by-step explanation:
How you could use the numerical value of slope to describe the slant and steepness of a line?
WORTH 20 POINTS
Which functions are equivalent to f(x)= 4√162? Check all that apply
Answer:
1,2,5
Step-by-step explanation:
21.95 with a 4.25% sales tax
The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence? A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14. B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10. C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14. D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
Answer:
Option C is correct
The common difference is 10,
So, the function is f(n + 1) = f(n) + 10 , where f(1) = 14
Step-by-step explanation:
The recursive function for the arithmetic sequence is given by:
[tex]f(n+1) = f(n)+d[/tex] .....[1]
where, d is the common difference of the two consecutive terms.
Given the arithmetic sequence :
14, 24, 34, 44, 54, .......
First term f(1) = 14
Common difference(d) = 10
Since,
24 -14 = 10
34-24 = 10
44-34 = 10 and so on....
Substitute d = 4 in [1], we have;
[tex]f(n+1) = f(n) + 10[/tex]
Therefore, the recursive function used to generate the sequence is,
[tex]f(n+1) = f(n) + 10[/tex] and f(1) = 10
The common difference is 10, so the function is t(n + 1) = t(n) + 10. Option C is correct.
Given the sequence of numbers 14, 24, 34, 44, 54, ...
This can also be written as (4+10), (14+10) + (24+10), (34+10), (44+10)...
Since 10 is comon to all the terms, the recursive formula will be:
t(n+1) = t(n) + 10
t(n) is the nth term of the remaining sequence 4, 14, 24, 34...
t(n) = a+(n-1)d
t(n) = 4+(n-1)(10)
t(n) = 4 + 10n - 10
t(n) = 10n - 6
Hence the equivalent recursive function will be t(n + 1)= t(n) + 10 with a common difference of 10
Learn more here: https://brainly.com/question/18233843