Can someone help me with this

Can Someone Help Me With This

Answers

Answer 1

Answer:

Y is 90 degrees.

Step-by-step explanation:

This is an equalterial triangle which means all of the angles are the same.  The angle for the upper part of the triangle is 60 as well. We can do 2x=60 because they add up to the angle which is 60. This gives us x=30. If x=30 and the other angle is 60, then the other angle has to be 90 because all triangle has an angle sum of 180. So 30 +60 + 90= 180. Hope this helps!

Answer 2

Answer:

y=90 degrees.

Step-by-step explanation:


Related Questions

Please answer this correctly

Answers

Answer:

1/8

Step-by-step explanation:

Total cards = 8

Card with 4 = 1

P(4) = 1/8

can I get some help please?​

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

2,013 cartons

▹ Step-by-Step Explanation

72,468 ÷ 36 = 2,013 cartons

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

72,468 eggs divided by 36 eggs per carton=2,013 cartons

Step-by-step explanation:

A principal of $2000 is invested at 6% Interest, compounded annually. How much will the investment be worth after 11 years
round your answer to the nearest dollar.

Answers

Answer:

A=3797 dollars

Step-by-step explanation:

A=P(1+r)^t  t=time period, r is the rate, P is the principal

A=2000(1+0.06)^11

A=3797 dollars

What is the missing step in solving the inequality 5 – 8x < 2x + 3?

Answers

Answer:

1/5

Step-by-step explanation:

5-8x<2x+3

5-3<2x+8x

2<10x

1/5<x

Select the correct answer from each drop-down menu.
The given equation has been solved in the table.

Answers

Answer: a) additive inverse (addition)

              b) multiplicative inverse (division)

Step-by-step explanation:

Step 2: 6 is being added to both sides

Step 4: (3/4) is being divided from both sides

It is difficult to know what options are provided in the drop-down menu without seeing them. If I was to complete a proof and justify each step, then the following justifications would be used:

Step 2: Addition Property of Equality

Step 4: Division Property of Equality

If three points are collinear, they are also coplanar

Answers

My explanation is attached below.

Answer:

True

Step-by-step explanation:

because i'm the best

Which inequality has –12 in its solution set? A B C D

Answers

Answer:

Step-by-step explanation:

solve each inequality:

A : x+6<8  ,  x<-8-6 , x<-14

B: x+4≥-6 ,  x≥-10

C: x-3>-10 , x>-7

D:x≤-9

since -12 is on the left side of the number line then x≤ -9 would be the solution

Answer:

D. x+5<-4

Step-by-step explanation:

x+6<-8

x<-8-6

x<-14

x={-15,-16,-17...} No

x+4>-6

x>-6-4

x>-10

x={-10,-9,-8,-7...} No

x-3>-10

x>-10+3

x>7

x={8,9,10...} No

x+5<-4

x<-4-5

x<-9

x={-9,-10,-11,-12...} Yes.

Add the two rational expressions: (x/x+1)+(2/x)

Answers

Answer: See below

Explanation:

(x/x+1)+(2/x)
= (x/x + x/x) + (2/x)
= 2x/x + 2/x
= 2x + 2/x
= 2(x+1)/x

Solve of the following equations for x: x + 3 = 6

Answers

Answer:

X = 3

Step-by-step explanation:

[tex]x + 3 = 6[/tex]

Move constant to R.H.S and change its sign:

[tex]x = 6 - 3[/tex]

Calculate the difference

[tex]x = 3[/tex]

Hope this helps...

Good luck on your assignment..

Express it in slope-intercept form

Answers

Answer:

Step-by-step explanation:

Can u help me

Answer:

cant see the picture

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x=98°

Step-by-step explanation:

The angles of a triangle must equal 180°.

To get the third angle (G) you must do: 180°-53°-45°

That will give you 82°

Anglr G and angle x create a straight line which is 180°.

so to get the answer you must do 180°-G=x

180°-82°=98°

Therefore x=98°

Determine the sum of the arithmetic series 6 + 11 + 16 +......
91.

Answers

Answer:

873

Step-by-step explanation:

so the equation is: 5x+1

sum is:

[tex] \frac{first \: one \: + \: last \: one}{2} \times quantity \: of \: terms \\ [/tex]

we have 6( 5×1+1) to 91 (5×18+1)

so we have 18 terms

then:

[tex] \frac{91 + 6}{2} \times 18 = 873[/tex]

What is the value of the angle marked with xxx?

Answers

Answer:

Here you go!! :)

Step-by-step explanation:

Given that the sides of the quadrilateral are 3.3

The measure of one angle is 116°

We need to determine the value of x.

Value of x:

Since, the given quadrilateral is a rhombus because it has all four sides equal.

We know the property that the opposite sides of the rhombus are equal.

The measure of the opposite angle is 116°

x = measure of opposite angle

x = 116°

Then, the value of x is 116°

Therefore, the value of x is 116°

Answer:

In the diagram, the measurement of x is 87°

Step-by-step explanation:

In this diagram, this shape is a quadrilateral. This quadrilateral in this picture is known as rhombus. In a rhombus, the consecutive angles are supplementary meaning they have a sum of 180°. Consecutive means the angles are beside each other. So, we will subtract 93 from 180 to find the value of x.

180 - 93 = 87

The measurement of x is 87°

The life of light bulbs is distributed normally. The standard deviation of the lifetime is 25 hours and the mean lifetime of a bulb is 510 hours. Find the probability of a bulb lasting for at most 552 hours.

Answers

Answer:

The  probability of a bulb lasting for at most 552 hours.

P(x>552)  = 0.0515

Step-by-step explanation:

Step(i):-

Given mean of the life time of a bulb = 510 hours

Standard deviation of the lifetime of a bulb = 25 hours

Let 'X' be the random variable in normal distribution

Let 'x' = 552

[tex]Z = \frac{x-mean}{S.D} = \frac{552-510}{25} =1.628[/tex]

Step(ii):-

The  probability of a bulb lasting for at most 552 hours.

P(x>552) = P(Z>1.63)

               = 1- P( Z< 1.63)

               =  1 - ( 0.5 + A(1.63)

              =   1- 0.5 - A(1.63)

              =   0.5 -A(1.63)

              =   0.5 -0.4485

             =  0.0515

Conclusion:-

The  probability of a bulb lasting for at most 552 hours.

P(x>552)  = 0.0515

         

Suppose a geyser has a mean time between irruption’s of 75 minutes. If the interval of time between the eruption is normally distributed with a standard deviation 20 minutes, answer the following questions. (A) What is the probability that a randomly selected Time interval between irruption’s is longer than 84 minutes? (B) what is the probability that a random sample of 13 time intervals between irruption‘s has a mean longer than 84 minutes? (C) what is the probability that a random sample of 20 time intervals between irruption‘s has a mean longer than 84 minutes? (D) what effect does increasing the sample size have on the probability? Provide an exclamation for this result. Choose the correct answer below. (E) what might you conclude if a random sample of 20 time intervals between irruption‘s has a mean longer than 84 minutes? Choose the best answer below. I’m not entirely certain about my answer for a bit I am completely and utterly lost on the other questions... please help.

Answers

Answer:

(a) The probability that a randomly selected Time interval between irruption is longer than 84 minutes is 0.3264.

(b) The probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is 0.0526.

(c) The probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is 0.0222.

(d) The probability decreases because the variability in the sample mean decreases as we increase the sample size

(e) The population mean may be larger than 75 minutes between irruption.

Step-by-step explanation:

We are given that a geyser has a mean time between irruption of 75 minutes. Also, the interval of time between the eruption is normally distributed with a standard deviation of 20 minutes.

(a) Let X = the interval of time between the eruption

So, X ~ Normal([tex]\mu=75, \sigma^{2} =20[/tex])

The z-score probability distribution for the normal distribution is given by;

                            Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

Now, the probability that a randomly selected Time interval between irruption is longer than 84 minutes is given by = P(X > 84 min)

 

    P(X > 84 min) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{84-75}{20}[/tex] ) = P(Z > 0.45) = 1 - P(Z [tex]\leq[/tex] 0.45)

                                                        = 1 - 0.6736 = 0.3264

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

(b) Let [tex]\bar X[/tex] = sample time intervals between the eruption

The z-score probability distribution for the sample mean is given by;

                            Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

           n = sample of time intervals = 13

Now, the probability that a random sample of 13 time intervals between irruption has a mean longer than 84 minutes is given by = P([tex]\bar X[/tex] > 84 min)

 

    P([tex]\bar X[/tex] > 84 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{84-75}{\frac{20}{\sqrt{13} } }[/tex] ) = P(Z > 1.62) = 1 - P(Z [tex]\leq[/tex] 1.62)

                                                        = 1 - 0.9474 = 0.0526

The above probability is calculated by looking at the value of x = 1.62 in the z table which has an area of 0.9474.

(c) Let [tex]\bar X[/tex] = sample time intervals between the eruption

The z-score probability distribution for the sample mean is given by;

                            Z  =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time between irruption = 75 minutes

           [tex]\sigma[/tex] = standard deviation = 20 minutes

           n = sample of time intervals = 20

Now, the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is given by = P([tex]\bar X[/tex] > 84 min)

 

    P([tex]\bar X[/tex] > 84 min) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] > [tex]\frac{84-75}{\frac{20}{\sqrt{20} } }[/tex] ) = P(Z > 2.01) = 1 - P(Z [tex]\leq[/tex] 2.01)

                                                        = 1 - 0.9778 = 0.0222

The above probability is calculated by looking at the value of x = 2.01 in the z table which has an area of 0.9778.

(d) When increasing the sample size, the probability decreases because the variability in the sample mean decreases as we increase the sample size which we can clearly see in part (b) and (c) of the question.

(e) Since it is clear that the probability that a random sample of 20 time intervals between irruption has a mean longer than 84 minutes is very slow(less than 5%0 which means that this is an unusual event. So, we can conclude that the population mean may be larger than 75 minutes between irruption.

An article reported that for a sample of 52 kitchens with gas cooking appliances monitored during a one-week period, the sample mean CO2 level (ppm) was 654.16, and the sample standard deviation was 165.4.

Required:
a. Calculate and interpret a 9596 (two-sided) confidence interval for true average C02 level in the population of all homes from which the sample was selected.
b. Suppose the investigators had made a rough guess of 175 for the value of s before collecting data. What sample size would be necessary to obtain an interval width of 50 ppm for a confidence level of 95%?

Answers

Answer:

a) [tex]654.16-2.01\frac{165.4}{\sqrt{52}}=608.06[/tex]    

[tex]654.16+2.01\frac{165.4}{\sqrt{52}}=700.26[/tex]    

b) [tex]n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189[/tex]

So the answer for this case would be n=189 rounded up to the nearest integer

Step-by-step explanation:

Part a

[tex]\bar X=654.16[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=165.4 represent the sample standard deviation

n =52represent the sample size  

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom aregiven by:

[tex]df=n-1=52-1=51[/tex]

Since the Confidence is 0.95 or 95%, the significance [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value would be [tex]t_{\alpha/2}=2.01[/tex]

Now we have everything in order to replace into formula (1):

[tex]654.16-2.01\frac{165.4}{\sqrt{52}}=608.06[/tex]    

[tex]654.16+2.01\frac{165.4}{\sqrt{52}}=700.26[/tex]    

Part b

The margin of error is given by this formula:

[tex] ME=z_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]    (a)

And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

[tex]n=(\frac{z_{\alpha/2} s}{ME})^2[/tex]   (b)

The critical value for this case wuld be [tex]z_{\alpha/2}=1.960[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189[/tex]

So the answer for this case would be n=189 rounded up to the nearest integer

what is 3(C - 5) = 48

Answers

Answer:

c=21

Step-by-step explanation:

[tex]3(c-5)=48\\3c-15=48\\3c=48+15\\3c=63\\c=63/3\\c=21[/tex]

Hope this helps,

plx give brainliest

Answer:

c=21

Step-by-step explanation:

3(c−5)=48

Divide both sides by 3.

c-5=48/3

Divide 48 by 3 to get 16.

c−5=16

Add 5 to both sides.

c=16+5

Add 16 and 5 to get 21.

c=21

Add: (−2x^2 + 9x − 3) + (7x^2 − 4x + 2)

Answers

Answer:

5x^2+5x-1

Step-by-step explanation:

-2x^2+9x-3+7x^2-4x+2=5x^2+5x-1

Please answer this correctly

Answers

Assuming the coin is not weighted and is a fair and standard coin - the chance of flipping head is 1/2. You can either flip head or tails, there are no other possible outcomes.

What is (+16) - (+2)?​

Answers

Answer:

(+16) - (+2) = 14

Step-by-step explanation:

Hope this helped you!

Answer:

14

Step-by-step explanation:

(+16) - (+2) =

= 16 - 2

= 14

I need help asap I don't understand this ​

Answers

Answer:

[tex]\boxed{\sf \ \ \ a=-2, \ b = 1 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

saying that the function is continuous means that you cannot have a "jump" in the graph of the function

so we want

a*(-3)+b=7 and a*4+b=-7

it comes

   (1) -3a + b = 7

   (2) 4a + b = -7

(2)-(1) gives 4a + b + 3a - b =7a = -7-7 = -14

so a = -14/7 = -2

we replace in (1)

b = 7 + 3*(-2) = 7 - 6 = 1

hope this helps

Please help me !!!!!

Answers

Answer:

11.5

Step-by-step explanation:

Put the numbers in order from smallest to largest

2,2,6,9,9,11,11,12,32,43,46,54,54,59

The median is the middle number

There are 14 numbers so the middle is between 7 and 8

2,2,6,9,9,11,11,    12,32,43,46,54,54,59

Take the average of the 7th and 8th numbers

(11+12)/2 = 11.5

The median is 11.5

Answer: 11.5

Step-by-step explanation:

The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

2   2   6   9   9   11   11   12   32   43   46   54   54   59    

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median= 11+12/2=11.5

You are riding your bike up Elm Trail towards Deer Trail. You plan to make a left turn on to Deer Trail. What is the angle measure of the turn?

Answers

Answer:

90 degrees

Step-by-step explanation:

This question can be explained using the plan x and y axis.

Suppose you are moving from any positive point on x axis which can be considered Elm trail

let say point be (5,0).

Now you move at origin and

then take left turn,

your left turn at origin will be negative side of y axis(which can be considered Deer trail)

hence, you move on negative y axis.

Since we know that angle of intersection of x and y axis is 90 degrees.

Thus, angle measure of turn is 90 degrees.

4÷2/3=

1/10÷3=

1/4÷7=

9÷1/3=

4/5÷4=​

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

4 ÷ 2/3 = 6

1 ÷ 10/3 = 3/10

1 ÷ 4/7 = 1 3/4

9 ÷ 1/3 = 27

4 ÷ 5/4 = 3 1/5

▹ Step-by-Step Explanation

4 ÷ 2/3 = 4 × 3/2 = 12/2 = 6

1 ÷ 10/3 = 1 × 3/10 = 3/10

1 ÷ 4/7 = 1 × 7/4 = 7/4 = 1 3/4

9 ÷ 1/3 = 9 × 3/1 = 27/1 = 27

4 ÷ 5/4 = 4 × 4/5 = 16/5 = 3 1/5

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Suppose you are looking for a house to purchase, and have a maximum price you can afford. To help decide which neighborhoods to shop for a home in, which is most useful to you?a. the mean house priceb. the median house pricec. the mode house priced. the SD of the house pricee. the range of the house price

Answers

Answer:

Mean

Step-by-step explanation:

-Mean is the average calculated by adding up all the prices and dividing them by the number of prices.

-Median is the middle value in the group of prices after they are organized from the lowest to the highest.

-Mode is the price that is repeated more frequently in the data set.

-SD refers to the quantity of variation between the prices.

-The range is the difference between the highest and the lowest price.

According to this, the answer is that the most option is the mean house price because it indicates the center of the values and it allows to get an overall idea of the prices which would allow you to have a clear view about the neighborhoods where you can shop for a home in.

The other options are not right because the median would indicate the middle value and the mode the most repeated value but they don't necessarily provide an exact image of the prices as for example, the most repeated value does not necessarily reflects the values of all the houses in the neighborhood. Also, SD calculates the variation and the range calculates the difference between prices which doesn't provide a clear picture about the neighborhoods where you can afford a house.

In 1998, the average price for bananas was 51 cents per pound. In 2003, the following 7 sample prices (in cents) were obtained from local markets:

50, 53, 55, 43, 50, 47, 58.

Is there significant evidence to suggest that the average retail price of bananas is different than 51 cents per pound? Test at the 5% significance level.

Answers

Answer:

[tex]t=\frac{50.857-51}{\frac{5.014}{\sqrt{7}}}=-0.075[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=7-1=6[/tex]  

The p value for this case would be given:

[tex]p_v = 2*P(t_6 <-0.075)=0.943[/tex]

The p value for this case is lower than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 51

Step-by-step explanation:

Info given

50, 53, 55, 43, 50, 47, 58.

We can calculate the sample mean and deviation with this formula:

[tex]\bar X=\frac{\sum_{i=1}^n X_i}{n}[/tex]

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2)}{n-1}}[/tex]

represent the mean height for the sample  

[tex]s=5.014[/tex] represent the sample standard deviation for the sample  

[tex]n=7[/tex] sample size  

represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is equal to 51, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 51[/tex]  

Alternative hypothesis:[tex]\mu \neq 51[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]t=\frac{50.857-51}{\frac{5.014}{\sqrt{7}}}=-0.075[/tex]    

The degrees of freedom are given by:

[tex]df=n-1=7-1=6[/tex]  

The p value for this case would be given:

[tex]p_v = 2*P(t_6 <-0.075)=0.943[/tex]

The p value for this case is lower than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly different from 51

At what point does the line
Y = 2X + 6 intercept the Y-axis?

A. 2.
B. 8
C. -2
D. 1/6
E. 6

Answers

Answer:

E. 6

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:

y = 2(0) + 6

y = 6

Therefore, our graph crosses the y-axis at 6.

Answer: 6

Step-by-step explanation: The equation of this line is written in slope-intercept form which is more commonly known as y = mx + b form.

In this form, the m or the coefficient of the x term represents the slope

of the line and the b or the constant term represents the y-intercept.

We can see that the y-intercept is 6.

An oil exploration company currently has two active projects, one in Asia and the other in Europe. Let A be the event that the Asian project is successful and B be the event that the European project is successful. Suppose that A and B are independent events with P(A) = 0.8 and P(B) = 0.4. Given that at least one of the two projects is successful, what is the probability that only the Asian project is successful?

Answers

Answer:

54.55% probability that only the Asian project is successful

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: At least one of the projects is successful.

Event B: Only the Asian project is successful.

We use P(A) for event A and event B, not related to the P(A) and P(B) given in the exercise.

Probability that at least one of the projects is successful.

Either none are successful, or at least one is. The sum of the probabilities is 1.

The Asian project has a probability of 0.8 of being successfull, which means that it has a probability of 1 - 0.8 = 0.2 of not being successful.

Following the same logic, the event B has a probability of 1 - 0.4 = 0.6 of not being successful. So

[tex]P(A) + 0.2*0.6 = 1[/tex]

[tex]P(A) = 0.88[/tex]

Intersection:

Between at least one being successful and only the Asian project successfull is the Asian succesful(probability 0.8) and the European not successful(probability 1 - 0.4 = 0.6). So

[tex]P(A \cap B) = 0.8*0.6 = 0.48[/tex]

What is the probability that only the Asian project is successful?

[tex]P(B|A) = \frac{0.48}{0.88} = 0.5455[/tex]

54.55% probability that only the Asian project is successful

which set of fractions is ordered from least to greatest 7/8 5/11 2/3

Answers

Answer:

5/11, 2/3, 7/8

Step-by-step explanation:

you can just do the numerator divided by the denominator to get a decimal, which can help you rank the fractions easier. hope this helps

Write an equation that represents the relationship.Please help!

Answers

Answer:

n = r - 2.5

Step-by-step explanation:

We have the following data:

7 4.5

8 5.5

10 7.5

12 9.5

Now, what we will do is what happens if we subtract each one:

7 - 4.5 = 2.5

8 - 5.5 = 2.5

10 - 7.5  = 2.5

12 - 9.5 = 2.5

The difference is always kept constant, therefore the equation would be:

n = r - 2.5

Other Questions
Vikas is the head of student council this year at his high school in London. He is responsible for planning the annual graduation trip to Canada's Wonderland. The students will spend one full day at the park and return late that evening. The school has rented a bus for transportation. The entry fee into the park is $50 and the bus costs $600. Write an equation to relate the cost, C, in dollars to the number of student, s, who participate in this fun trip. The total cost of the trip was $2750. How many students did Vikas recruit for this trip? Vikas receives a free trip if he is able to fill 90% of the bus. The bus has a seating capacity of 46 seats. Did Vikas receive his free trip? Show your work. Please answer this correctly ABCD is a kite.BOy = [?]A 40CEnter the numberthat belongs inthe green box.D World Company expects to operate at 70% of its productive capacity of 38,000 units per month. At this planned level, the company expects to use 16,625 standard hours of direct labor. Overhead is allocated to products using a predetermined standard rate of 0.625 direct labor hour per unit. At the 70% capacity level, the total budgeted cost includes $66,500 fixed overhead cost and $182,875 variable overhead cost. In the current month, the company incurred $421,625 actual overhead and 16,405 actual labor hours while producing 44,600 units.Required:a. Compute the predetermined standard overhead rate for total overhead.b. Compute the total overhead variance. A circle has a circumference of 18. It has an arc of length 6.What is the central angle of the arc, in degrees? What is the value of8(17-12)-2(8-(-2))?-4-224, You want to find out how sleep deprivation affects motor performance. To study this, you have sleep-deprived subjects (such as parents of newborn babies or night-shift workers) record the number of minutes they sleep each night and take a series of motor performance assessments, with 1 minute being the smallest unit on the scale. Suppose the first subject sleeps 180 minutes. Determine the real limits of 180. My question is probably obvious but I don't know it. What is the z axis Which idea did Wilson oppose during the treaty meetings at Versailles? (5 points)Group of answer choicesgradual disarmamentfreedom of the seasreparations from Germanyself-determination for colonies Which of the following helps producers figure out what consumers want?A. ConsumersB. EconomistsC. JudgesD. Market research Which of the following is a conditional statement?Question 1 options:A) If Alex studies for the geometry exam, then he will pass.B) Alex often fails geometry exams, but he passed this one.C) Alex studies for geometry exams, and he often passes.D) Either Alex goes to track practice, or he studies for the geometry exam. A blacksmith heated an iron bar to 1445 C. The blacksmith then tempered the metal by dropping it into 42,800 mL ofwater that had a temperature of 22.00 C. The final temperature of the system was 45.00C. What was the mass ofthe iron bar? (Hint: Density of water is 1.00 g/mL) The specific heat capacity for iron is 25.01 J/molC. Shooting the Sun by Amy Lowell has a rhyme scheme of aa bb cc. Does this rhyme scheme make it easy or difficult for you to read? Explain your response with evidence from the poem If you transform x2+ y2 = 25 into 4x2+ 4y2 = 25, which option below describes the effect of this transformation on theradius?It multiplies the radius by 2It multiplies the radius by 4It divides the radius by 4It divides the radius by 2 Which statement describes the role of a mitochondrion in providing a body with energy? It stores glucose that is taken from food so that respiration can happen later. It combines blood and oxygen so that energy can be released from glucose. It is the site where oxygen combines with small molecules and releases large amounts of energy. It is the site where food is broken down into small molecules and amounts of energy. A student takes a 48 question multiple choice quiz. The student is unprepared, so they guess on every question. The probability of guessing a correct answer is 1/4. Find the mean and standard deviation for the random variable Which of the following is a scalar quantity?O A. 8 km/hr downO B. 45 ft to the rightO C. 100 ft/minO D. 25 m/s south Two 60.o-g arrows are fired in quick succession with an initial speed of 82.0 m/s. The first arrow makes an initial angle of 24.0 above the horizontal, and the second arrow is fired straight upward. Assume an isolated system and choose the reference configuration at the initial position of the arrows. (a) what is the maximum height of each of the arrows? (b) What is the total mechanical energy of the arrow-Earth system for each of the arrows at their maximum height? 1. Which of the following equations has a solution of x = -5? Equation A------> 16x-7=11x-32 Equation B------> -4x- 10=2x+20 a. Equation A b. Equation B c. Both A and B d. Neither A nor B what is the main problem in the story A.the millers son wants to ride the donkey all the way to down town