Answer:
b.) 76
Step-by-step explanation:
A triangles angles will always add up to a total of 180°.Since both angles B and C are x, they have the same value. So to find their value, add the choices to 28 twice until you get 180:
[tex]28+76+76=180[/tex]
Or, you can make and equation. 180 on one side of the equation. On the other side, put both x's (2x) plus the value of angle A:
[tex]2x+28=180[/tex]
Solve for x:
[tex]2x+28-28=180-28\\2x=152\\\\\frac{2x}{2}=\frac{152}{2}\\ x=76[/tex]
Finito.
Kali is single and earns $45,800 per year. What is her annual federal withholding?
The table would continue this pattern up to 1,800 hours
The question involves creating a table that displays the effect of earned income on government support and total income for a single mother, named Susan. Given that Susan earns $8 per hour and loses $1 in government benefits for every $1 earned, we calculate the impact of different work hours on her total income. The table will illustrate the intersection of labor and welfare economics, showing the disincentive to work that some assistance programs might create due to the reduction in benefits as earned income rises.
To provide an example for Susan's situation: If she works 500 hours at $8 per hour, her earnings from work would be $4,000. With government benefits reducing dollar for dollar, Susan's new benefits would be $16,000 - $4,000, which equals $12,000. So, her total income would be her earnings ($4,000) plus the adjusted government benefits ($12,000), totaling $16,000. The table would continue this pattern up to 1,800 hours
students at river view middle school are allowed to wear two different colors of uniform shirts. A survey of students at the school shows that a student is three times more likely to wear a red shirt than a white shirt. If a classroom has 24 students, how many students are likely to be wearing red?
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
To determine how many of the 24 students likely wear a red shirt, given red is three times more probable than white, we calculate that 18 students are likely wearing red shirts.
The question asks us to determine how many students in a class of 24 are likely to be wearing a red shirt if students at River View Middle School are three times more likely to wear a red shirt than a white shirt. To solve this, let's define the number of students wearing a white shirt as x. Since a red shirt is three times more likely, the number of students wearing a red shirt would be 3x. The total number of students in the classroom is the sum of those wearing red and white shirts, which is x + 3x = 24. Combining like terms, we get 4x = 24. Dividing both sides by 4, x equals 6. This means 6 students are wearing white shirts. To find the number of students wearing red shirts, we multiply the number of white-shirted students by 3: 3 times 6 = 18. So, 18 students are likely to be wearing red shirts.
A sphere has radius of 3 cm. What is the volume of the sphere?
Answer: 113.04 cm³
Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere which is shown below.
[tex]V = \frac{4}{3} \pi r^{3}[/tex]
Here, we are given that our sphere has a radius of 3 centimeters.
So plugging into the formula, we have [tex](\frac{4}{3})(\pi)(3 cm)^{3}[/tex].
Start by simplifying the exponent.
(3 cm)³ is equal to 3 centimeters · 3 centimeters ·
3 centimeters or 27 cm³.
So we have [tex](\frac{4}{3})(27 cm^{3})(\pi)[/tex].
Notice that we can cross-cancel 3 and 27 to 1 and 9.
So we have (4)(9 cm³) which is equal to 36 cm³.
So we have 36π cm³.
So the volume of the sphere is 36π cm³.
Remember that π is approximately equal to 22/7 or 3.14 so we can estimate the value of the volume by plugging in 3.14 for π.
So we have (36)(3.14) which is equal to 113.04 which means
that the volume of approximately equal to 113.04 cm³.
What are the solutions to m^2+7=6?
Answer:
m = i or m = -i for i = root(-1)
Step-by-step explanation:
m^2+7=6
m^2 = 6 - 7
m^2 = -1
m = i or m = -i
for i = imaginary number
Simplify 9 to the power of 2 over 9 to the power of 7 someone help please
1. 9 over 5
2. 1 over 9 to the power of 9
3. 1 over 9 to the power of negative 5
4. 1 over the 9 to the power of 5
Answer:
4. 1 over the 9 to the power of 5
Step-by-step explanation:
When you divide exponents with the same bases, you essentially subtract the exponents. So 9^2 / 9^7 = 9^-5. To change to a positive exponent, take the reciprocal. 9^-5 = 1 / 9^5
The diameter of a circle measures 8 yd. what is the circumference of the circle?
Answer:
25.133
Explanation:
c = 2πr
Answer this fast please it will also give you easy points
Answer:
80°
Step-by-step explanation:
since the complementary is 40° the supplementary is 80° so its the double.
All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the xxx-axis.
To determine which scatter plot displays data most effectively, it is crucial to ensure that the explanatory variable is positioned on the x-axis and that the plot uses a scale that makes it easy to identify trends without obscuring data points. The best scatter plot will clearly demonstrate the relationship between two variables and indicate potential patterns that may suggest a correlation or relationship worthy of linear regression analysis.
Explanation:The question revolves around determining which scatter plot displays data most effectively, adhering to the guidelines of using a reasonable scale on both axes and positioning the explanatory variable on the x-axis. An essential aspect of a scatter plot is that it should clearly indicate the relationship between two variables, allowing for pattern identification and assessment of potential for linear regression.
By convention, data visualization practices dictate that the x-axis should represent the independent variable (explanatory variable), which is the variable that is presumed to cause changes in another variable. The y-axis should depict the dependent variable, whose changes are investigated to be a result or effect of the independent variable. A good scatter plot employs a scale that accurately encompasses all data points without distorting the visual perception of their distribution, making it easier for viewers to identify trends, clusters, or patterns that might suggest a correlation or relationship worthy of linear regression analysis.
In selecting the best scatter plot, one must also consider the clarity of the plot in demonstrating data distribution and potential correlations. The plot must be fine-tuned to avoid too large or too small scales, which can obscure data trends or require unnecessarily large graphical space. Additionally, attention should be paid to ensuring the number of significant figures on the axis values does not exceed those in the measurements. The ideal scatter plot employs a scale and plotting strategy that maximizes visualization efficiency, facilitating easy analysis and interpretation of the data's underlying patterns.
Graph A has explantory variable on x axis and response variable on y- axis also their scale is reasonable here.
How to determine the x and y axes of scatter diagram.
Scatter diagram: graph showing data points in 2D, revealing relationships between variables; useful for identifying patterns and correlations.
Here, Age act as explanatory variable and internets use as response variable ,because how much time they spend on internet it directly dependent on their age .
for a good scatter plot, the variable that might be considered an explanatory variable is plotted on the x axis, and the response variable is plotted on the y axis and scale should be reasonable .
Graph A has explanatory variable on x axis and response variable on y- axis also their scale is reasonable here.
Complete question
Nate wants to predict how long people use the internet each day based on their age. The table below shows the age (in years) and average daily internet usage (in hours) for a sample of people.
All of the scatter plots below display the data correctly, but which one of them displays the data best?
By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the xxx-axis.
3. What is the value of this?
WN
Your ans Ter
Answer: 81/16
Step-by-step explanation:
Since it's a negative exponent, you flip the fraction and then the exponent becomes positive then solve from there. so it would go from
2/3^-4
3/2^4
81/16
Find the missing value in the angle below.
EDITED
Answer: x = 73.
Step-by-step explanation:
Angles on the same side of a line add up to 180.
As the angles 110 and (x-3) are on the same side of the line, you can solve for x using this equation:
[tex]180 = 110 + (x-3)\\\\70 = (x-3)\\73 = x[/tex]
An airline finds that 6% of the people who make reservations on a certain flight do not show up for the flight. If the airline sells 190 tickets for a flight with only 185 seats, use the normal approximation to the binomial distribution to find the probability that a seat will be available for every person holding a reservation and planning to fly. (Round your answer to four decimal places.)
Answer:
0.9826 = 98.26% probability that a seat will be available for every person holding a reservation and planning to fly.
Step-by-step explanation:
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
6% of the people who make reservations on a certain flight do not show up for the flight. So 100-6 = 94% show up, which means that [tex]p = 0.94[/tex]
190 tickets, so [tex]n = 190[/tex]
So
[tex]\mu = E(X) = np = 190*0.94 = 178.6[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{190*0.94*0.06} = 3.27[/tex]
Find the probability that a seat will be available for every person holding a reservation and planning to fly.
At most 185 people show up.
Using continuity correction, we have to find [tex]P(X \leq 185 + 0.5) = P(X \leq 185.5)[/tex], which is the pvalue of Z when X = 185.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{185.5 - 178.6}{3.27}[/tex]
[tex]Z = 2.11[/tex]
[tex]Z = 2.11[/tex] has a pvalue of 0.9826
0.9826 = 98.26% probability that a seat will be available for every person holding a reservation and planning to fly.
A bag contains eight red marbles and four blue
marbles. You randomly pick a marble and then
pick a second marble without returning the first
marble to the bag. The first marble is red and the
second marble is blue.
Are these independent or dependent events?
Answer:
dependent
Step-by-step explanation:
Of the following fractions, which is the only one that must be represented by a non-terminating decimal?
A. 7/4
B. 8/5
C. 7/2
D. 10/3
solve for x 1/2(x-3)=1/3(1-x)
Answer:
x=2.5906672908862554,−0.2573339575529219
Janie made a 75% on her math test. If she got 15 problema right, how many questions were on the test?
Answer:
20
Step-by-step explanation:
75% of x = 15
x = 20
The number of minutes Magdeline spent talking on her cell phone each month for the past five months were 494, 690, 502, 478, and 486. Suppose the mean for six months was 532 minutes, how many minutes did she talk on her cell phone in the sixth month?
Answer:
542 minutes
Step-by-step explanation:
currently our mean is =530
i got that by adding all the number out which equal too =2,650
and divide it by how many number there are which is 5
2,650/5=530
After some trial and error i found it
so you add 494+690+502+478+486+542=3,192
3,192/6=532
and that was our goal
so the 6th month she talked on the phone for 542 minutes
pls mark me brainliest
Which of the following points does not lie on the graph of y=3^2x
Answer: (1,9) I just did a test with that question
Suppose a parabola has vertex (–8, –7) and also passes through the point (–7, –4). Write the equation of the parabola in vertex form.
3. A flower bed has 26 rows of flowers and
each row has 8 flowers. One section of the
flower bed contains red flowers. There are
8 rows of red flowers. The rest of the flower
bed is white flowers. How many white
flowers are there?
To find the number of white flowers, we subtract the total number of red flowers (64) from the total number of flowers (208), resulting in 144 white flowers.
The student's question involves calculating the number of white flowers in a flower bed given the total number of flowers and the number of rows of red flowers.
There are 26 rows of flowers in total, and each row contains 8 flowers. If 8 rows consist of red flowers, we can calculate the number of white flowers by subtracting the red flowers from the total number of flowers.
Here are the steps we'll take to solve the problem:
Multiply the total number of rows by the number of flowers per row to find the total number of flowers.
Total flowers = 26 rows * 8 flowers/row = 208 flowers
Multiply the number of rows of red flowers by the number of flowers per row to find the total number of red flowers.
Total red flowers = 8 rows * 8 flowers/row = 64 flowers
Subtract the number of red flowers from the total number of flowers to find the number of white flowers.
Total white flowers = Total flowers - Total red flowers = 208 flowers - 64 flowers = 144 white flowers.
The spinner shown is divided into congruent sections that are labeled 1-6. If the spinner is spun twice, what is the probability of the arrow landing on a 5 and then landing on a 3?
Answer:
1/36
Step-by-step explanation:
This is a simple use of the multiplication rule of probability, which is:
"The probability that Events A and B both occur is equal to the probability that Event A occurs times the probability that Event B occurs, given that A has occurred"
Using this rule, we square 1/6 to get 1/36. In other forms:
Decimal:0.02777777777(Round to whatever decimal place you need)
Percentage: 2.778%(I don't see you needing any more places)
Hope my answer helped you!
1/4 inch cubes were used to fill a prism. The dimensions of the prism are 1.5 inches x 1 inch x 3.75 inches. How many 1/4 inch cubes can fit into the prism?
A) 22.5
B) 360
C) 720
D) 180
Answer:
B) 360 cubes
Step-by-step explanation:
We can start by finding how many cubes fit into the length of the prism (1.5 in) which is 6 cubes for 1.5 in/ 0.25 in = 6.
Then we can find the number of cubes to fit the width of the prism (1 in) which is 4 cubes for 1 in/ 0.25 in = 4.
Finally we find that 15 cubes fit the height (3.75 in) for 3.75 in/ 0.25 in = 15 cubes.
Multiplying the together, we get 6*4*15=360 or B
How does the coefficient of a affect the way the parabola opens?
Which expressions are equivalent to Negative 2 (5 x minus three-fourths)? Check all that apply.
Negative 2 (5 x) + (negative 2) (negative three-fourths)
Negative 10 x minus three-fourths
Negative 10 x + StartFraction 6 over 2 EndFraction
Negative 10 x + three-halves
Negative 10 x minus StartFraction 6 over 2 EndFraction
Answer:
-10x+3/2 and -2(5x)+(-2)(-3/4)
Explanation:
The correct statements are Negative 2 (5 x) + (negative 2) (negative three-fourths)&Negative 10 x + three-halves)
What is an Algebraic Expression?An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.
Given here: The statement "Negative 2 (5 x minus three-fourths)"
Thus translating it into an expression we get
-2(5x-3/4)
=-2×5x+(-2×-3/4)
=-10x+3/2 ( using the distributive property of multiplication)
Hence, The correct statements are Negative 2 (5 x) + (negative 2) (negative three-fourths)&Negative 10 x + three-halves
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I really need help. I need to get this done by the end of this week otherwise i will fail the class. PLEASE HELP ME!! THANK YOU!!
x=7th root of 30=1.6256
Justification=a process that is both individual and social undetermined in developing
And you have to subtract in the math
Answer:
1. Subtraction property of equality; multiplication property of equality; division property of equality
For this question, you simply have to state the operation that is occurring.
2. To solve this, simplify the equation so that it is in y=mx+b form. From the equation, find two points so that you can plot a line.
4x + y = 6x - 1
y = 2x - 1
-1 is the y-intercept. This means that you can place a point at (0,-1) which is the -1 on the y (vertical) axis.
For the second point, you can plug any number for the x-value that will stay within the given graph. I am going to use 2.
y = 2(2) - 1
y = 4 - 1
y = 3
This gives you the point (2, 3). Plot the points (0, -1) and (2, 3). You will be able to draw a line from that.
3.(a) 1200 represents the population of bacteria at the beginning, or when t is equal to 0.
(b) 1.8 represents the factor by which the bacteria increases each hour.
(c) 1000 represents the beginning population. The difference means that the total amount of bacteria will increase more slowly than the population that began with 1200.
pls help it’s not making sense to me
Answer:
4/15 didnt i think
Step-by-step explanation:
Answer:
4 : 11
(The 4 is the people that study French)
(The 11 is the people that don't study French. This includes the people that aren't studying a language at all)
Step-by-step explanation:
[tex]\frac{2}{5}[/tex] of the [tex]\frac{2}{3}[/tex] that study a language, is studying French.
[tex]\frac{2}{5}[/tex]*[tex]\frac{2}{3}[/tex]=[tex]\frac{4}{15}[/tex] so [tex]\frac{4}{15}[/tex] of the entire school studies French. that means [tex]\frac{11}{15}[/tex] of the school doesn't study French. In a ratio, it'd be 4 : 11 ratio
A scatter plot consists of (1,4.0), (2,3.3),(3,3.8),(4,2.6) and (5,2.7) ,the line if best fit used to model the data is ,y= -0.33x+4.27. which residual plot is correct
Answer:
B
Step-by-step explanation:
Sine and cosine are both negative in which quadrant?
Answer:
quad 3
Step-by-step explanation:
Use "all students take calculas"
quad 1: a=all positive
quad 2: s=only sine positive, tan and cos negative
quad 3: t=only tan positive, cos and sin negative
quad 4: c=only cos positive, tan and sin negative
In trigonometry, both sine and cosine are negative in the third quadrant of the coordinate plane, as both the x and y coordinates are negative in this quadrant.
Explanation:In the context of trigonometry, on the coordinate plane, sine and cosine are both negative in the third quadrant. The sine function represents the y-coordinate and the cosine function represents the x-coordinate of a point on the unit circle. Hence, in the third quadrant, where both x and y are negative, both sine and cosine are negative as well. This is a basic idea from trigonometry and is commonly referred to as the rule 'All Students Take Calculus', which helps to remember the sign of sine, cosine and tangent in each quadrant. A- all (Quadrant I, all are positive), S - Sine (Quadrant II, only sine is positive), T - Tangent (Quadrant III, only tangent is positive), C - Cosine (Quadrant IV, only cosine is positive). Therefore in the III quadrant, both sine and cosine are negative as only tangent (ratio of sine to cosine) is positive.
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an option a person might choose when
making a decision.
hey can anyone pls help me out in dis!!!!!!!!
Answer:
see below
Step-by-step explanation:
Graphs A , B , D are graphs of inequalities. The show that something is greater than or equal to ( graph A) or less than or equal to ( Graph B and D)
Graph C is a point. It is a graph of an equation
The sales tax rate on a new vehicle is 6%. If the vehicle is $8,000, then how much will be charged for sales tax?
The sales tax charged on a $8,000 vehicle would be $480.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying it by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
The sales tax rate is 6%, which means for every dollar spent on the vehicle, 6 cents will be charged for sales tax.
To find the amount of sales tax charged on $8,000 vehicle, we can multiply the price of the vehicle by the sales tax rate as a decimal.
Sales tax = $8,000 x 0.06
Sales tax = $480
Therefore,
The sales tax charged on a $8,000 vehicle would be $480.
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