In accounting, cost-volume-profit analysis is a useful tool to help managers predict how profit will be affected by changes in prices or sales volume. Net income, NININ, I, is calculated using the formula NI = (SP-VC)(V)-FCNI=(SP−VC)(V)−FCN, I, equals, left parenthesis, S, P, minus, V, C, right parenthesis, left parenthesis, V, right parenthesis, minus, F, C, where SPSPS, P is the sales price, VCVCV, C is the variable cost per unit, VVV is the sales volume, and FCFCF, C are fixed costs. Rearrange the formula to solve for sales volume (V)(V)left parenthesis, V, right parenthesis.

Decreased height = 10 x [tex]\frac{100 - 25}{100}[/tex]

                              = 10 x [tex]\frac{75}{100}[/tex]

                              = [tex]\frac{750}{100}[/tex]

                              = 7.5 cm

Answer:

7.5 cm

Step-by-step explanation:

Decreased height = 25% of 10

                              [tex]=\frac{25}{100}*10\\\\=0.25*10\\=2.5[/tex]

New height = 10 - 2.5 = 7.5 cm

Answer:

P(33) = 0.0826

Step-by-step explanation:

The binomial distribution in this case has parameters n=55 and p=0.55.

The probability that k successes happen with these parameters can be calculated as:

[tex]P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{55}{k} 0.55^{k} 0.45^{55-k}\\\\\\[/tex]

We have to calculate the probability fo X=33 succesess.

This can be calculated using the formula above as:

[tex]P(x=33) = \dbinom{55}{33} p^{33}(1-p)^{22}\\\\\\P(x=33) =1300853625660220*0.0000000027*0.0000000235\\\\\\P(x=33) =0.0826\\\\\\[/tex]

Answer:

$450000*0.015=$6750

Step-by-step explanation:

1.5% as a decimal is 0.015

You then multiply the sale amount by the decimal to get $6750

Answer: 5 cm

Step-by-step explanation:

The diagonals of a rhombus bisect each other in half

PO = OR = 4 cm

So. PR = 8 cm

Similarly,

SO = OQ = 3 cm

So, SQ = 6 cm

To measure side, formula is

a = √p^2 + q^2 / 2

a = √6^2 + 8^2 / 2

a = √36+64 / 2

a = √100 / 2

a = 10/2 = 5 cm

Answer

LESS THAN

Step-by-step explanation:

Answer:

551 people  

Step-by-step explanation:

We have that for this type of situation the equation that models the population depending on the time is:

P (t) = I * e ^ (k * t)

Where I is the initial population, that is to say that for this case it would be:

P (t) = 500 * e ^ (k * t)

k is the constant of proportionality and t the time, they tell us that in 10 years it increases 5%, therefore the population would be:

500 + 500 * 0.05 = 525, therefore:

525 = 500 * e ^ (k * 10)

we solve:

525/500 = e ^ (k * 10)

ln 1.05 = k * 10

k = 0.00488

Now, to calculate how much the population is in 20 years it would be:

P (t) = 500 * e ^ (0.00488 * 20)

P (t) = 551.26

In other words, the population would be approximately 551 people  

Answer:

[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]

And the best option would be:

d) -2.5

Step-by-step explanation:

For this problem we know that the true mean of  trash every day is:

[tex]\mu =4.4[/tex]

And from the info given we also know that:

[tex]\bar X=4.3[/tex] represent the sample mean

[tex]n=625[/tex] sample size selected

[tex]\sigma = 1[/tex] the population standard deviation assumed

If we want to find the z score for the person we can use the following formula:

[tex]z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And replacing we got:

[tex] z=\frac{4.3 -4.4}{\frac{1}{\sqrt{625}}}= -2.5[/tex]

And the best option would be:

d) -2.5

Answer:

a. The empirical rule.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

So the correct answer is:

a. The empirical rule.

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

Answer:

She must complete 33 application segments

Step-by-step explanation:

Community colleges:

3 community colleges.

Each with four segments.

So 3*4 = 12

Four-year schools:

3 four-year schools.

Each with seven segments.

So 3*7 = 21

How many application segments must she​ complete?

12 + 21 = 33

She must complete 33 application segments

The answer has one solution:

_______________________________

       →  x = 6 ; y = 7 ;  or, write as:  [6, 7].

_______________________________

Step-by-step explanation:

_______________________________

Given:

y = x + 1;

y = 2x – 5 ;

_______________________________

2x  – 5 = x + 1  ;  Solve for "x" ;

Subtract "x" ; and Subtract "1" ; from Each Side of the equation:

   2x  – x  – 5  – 1 = x  – x  +  1  –  1 ;

to get:  

   x   –  6  =  0  ;

Now, add "6" to Each Side of the equation;

       to isolate "x" on one side of the equation;

        and to solve for "x" :

    x   –  6   +  6 =  0  +  6  ;

to get:

       x  =  6 .

_______________________________

Now, let us solve for "y" ;  

We are given:  

  y =  x + 1  ;

Substitute our solved value for "x" ; which is:  "6" ; for "x" ; into this given equation; to obtain the value for "y" :

 y =  x + 1 ;

    =  6 + 1 ;

 y =  7 .

_______________________________

Let us check our answers by plugging the values for "x" and "y" ;

("6" ; and "7"; respectively);  into the second given equation; to see if these values for "x" and "y" ; hold true:

  Given:  y = 2x –  5 ;

        →  7 =? 2(6) –  5 ??  ;

        →  7 =? 2(6) –  5 ??  ;        

        →  7 =?  12   –  5 ??  ;

        →  7 =?   7 ?? ;

        →  Yes!

_______________________________

The answer has one solution:

       →  x = 6 ; y = 7 ;  or, write as:  [6, 7].

_______________________________

Hope this is helpful!  Best wishes!

_______________________________

Answer: -3 2/3x - 1

Step-by-step explanation:

-2/3x + 5(3/5 - 3/5x) - 12 / 6 * 2

First distribute

-2/3x + 3 - 3x - 12 / 6 * 2

Now divide 12 by 6

-2/3x + 3 - 3x -2 * 2

Now multiply -2 by 2

-2/3x + 3 - 3x - 4

Now subtract 3x from -2/3x

-3 2/3x + 3 - 4

Now subtract 4 from 3

-3 2/3x - 1

Answer:

2 outcomes when you toss a coin.

Step-by-step explanation:

You either can land on heads or on tails.

Heads is one outcome and Tails is the other.

Therefore, there are 2 outcomes.

Step-by-step explanation:

[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]

Answer:

n x n x n x n x n x n

Step-by-step explanation:

(n^3)^2 = n^6 = n x n x n x n x n x n

Answer:

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

As Bill's sales is £25400, which is greater than £25000, he achieved his target.

Step-by-step explanation:

Cost of each laptop = £400

lets calculate for 40 laptops first

Given, he sold 40 of these at 30% profit

30% of cost price = 30% of  £400  = 30/100 * 400 = 120

Therefore, selling price of these laptops =  £400  +  £120 =  £520

Total sales generated from selling 40 of these laptop = 40*£520

= £520 =£20,800  

lets calculate for 10 laptops now

Given, he sold 10 of these at 15% profit

15% of cost price = 15% of  £400  = 15/100 * 400 = 60

Therefore, selling price of these laptops =  £400  +  £60 =  £460

Total sales generated from selling 10 of these laptop = 10*£460

= £4600

Total sales generated from selling all the 50 laptop =  

Total sales generated from selling 40 of these laptop + Total, sales generated from selling 10 of these laptop = £20,800  + £4600 = £25,400

Target for Bill = £25000

As his sales is £25400, which is greater than £25000, he achieved his target.

Answer:

Step-by-step explanation:

It is given that

[tex]\Delta=\begin{vmatrix}3&0&3\\2 &3&3\\0 &4&-2\end{vmatrix}[/tex]

By cofactor expansion across the first row, we get

[tex]\Delta=a_{11}C_{11}+a_{12}C_{12}+a_{13}C_{13}[/tex]

[tex]\Delta=3\left[(-1)^{1+1}\begin{vmatrix}3&3\\4&-2\end{vmatrix}\right]+0\left[(-1)^{1+2}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{1+3}\begin{vmatrix}2&3\\0&4\end{vmatrix}\right][/tex]

[tex]\Delta=3\left[-18\right]+0\left[(-1)(-4)\right]+3\left[8\right][/tex]

[tex]\Delta=-54+0+24[/tex]

[tex]\Delta=-30[/tex]

Therefore, the value of determinant is -30.

By cofactor expansion across the second column, we get

[tex]\Delta=a_{12}C_{12}+a_{22}C_{22}+a_{32}C_{32}[/tex]

[tex]\Delta=0\left[(-1)^{2+1}\begin{vmatrix}2&3\\0&-2\end{vmatrix}\right]+3\left[(-1)^{2+2}\begin{vmatrix}3&3\\0&-2\end{vmatrix}\right]+4\left[(-1)^{3+2}\begin{vmatrix}3&3\\2&3\end{vmatrix}\right][/tex]

[tex]\Delta=0\left[(-1)(-4)\right]+3\left[(-6)\right]+4\left[(-1)3\right][/tex]

[tex]\Delta=-18-12[/tex]

[tex]\Delta=-30[/tex]

Therefore, the value of determinant is -30.

Answer:

The right graph (one on your right side)

Step-by-step explanation:

The left one it incorrect because there is 0 data showing 0-9 so it's going to be the right sided graph.

Answer: if he/she tosses the coin 9 times i am pretty sure he/she out of 5/9 he/she will get heads

Step-by-step explanation:

1 if he flips the coin 9 times and it spins and it flips i am pretty sure a couple times he/she will get tails or heads 2 but there is a way for him/her to get heads it flips and spins he/she is most likey to get heads 3 if he/she flips the coin and the coin keeps going the coin will flip and he/she will get heads hope this helps you :)

Answer:

44. answer = a. (<)

45. answer = b. (>)

Step-by-step explanation:

To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.

So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:

10 / sin(mQRW) = 17 / sin(mRWQ)

sin(mQRW) / sin(mRWQ) = 10 / 17

The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)

In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:

15 / sin(mRTW) = 8 / sin(mTWR)

sin(mRTW) / sin(mTWR) = 15 / 8

If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)

Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.

Answer:

c. 13.5 cm

Step-by-step explanation:

In the right triangle formed by the main sail.

Using the trigonometric function

[tex]\tan \theta =\dfrac{\text{Opposite}}{\text{Adjacent}} \\\tan 52^\circ =\dfrac{x}{9} \\x=9 \times \tan 52^\circ\\x=11.52$ cm[/tex]

Therefore:

Height of the mast = 2+11.5=13.5 cm

The height of the mast is 13.5 cm.

Answer:

95% confidence

[tex]19.5-1.998\frac{5.2}{\sqrt{65}}=18.211[/tex]    

[tex]19.5+1.998\frac{5.2}{\sqrt{65}}=20.789[/tex]    

For the 90% confidence interval the critical value would be [tex]t_{\alpha/2}=1.669[/tex]  and replacing we got:

[tex]19.5-1.669\frac{5.2}{\sqrt{65}}=18.424[/tex]    

[tex]19.5+1.669\frac{5.2}{\sqrt{65}}=20.576[/tex

Step-by-step explanation:

Information given

[tex]\bar X=19.5[/tex] represent the sample mean

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

[tex]s=5.2[/tex] represent the sample standard deviation

n=65 represent the sample size  

Confidence interval

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 are given by:

[tex]df=n-1=65-1=64[/tex]

Since the Confidence is 0.95 or 95%, the value of [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value would be [tex]t_{\alpha/2}=1.998[/tex]

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

[tex]19.5-1.998\frac{5.2}{\sqrt{65}}=18.211[/tex]    

[tex]19.5+1.998\frac{5.2}{\sqrt{65}}=20.789[/tex]    

For the 90% confidence interval the critical value would be [tex]t_{\alpha/2}=1.669[/tex]  and replacing we got:

[tex]19.5-1.669\frac{5.2}{\sqrt{65}}=18.424[/tex]    

[tex]19.5+1.669\frac{5.2}{\sqrt{65}}=20.576[/tex]    

Answer and Step-by-step explanation: Congruent triangles are triangles with the same three sides and same three angles.

There many ways to determine if 2 triangles are congruent.

One of them is ASA or Angle, Side, Angle and it means that if two angles and the included side of one triangle are equal to the corresponding angles and side on the other triangle, they are congruent.

In this case, angle MRQ and angle NQR are equal. The included side of both triangles are the same QR, so it can be concluded that triangle QNR is congruent to triangle RMQ.

The image in the attachment shows the angles and their included side, which are colored.

Answer:

B. $264.00

Step-by-step explanation:

==>The image that shows the pattern of the arrangement of tiles consists of:

2 large tiles = $0.96*2 = $1.92

8 small tiles = $0.26*8 = $2.08

This implies that $4 would need to be spent to cover 1ft²

Therefore, to cover an area of 22ft by 3ft, it would cost Fred the following below:

Area to be covered = 22×3 = 66ft²

$4 --> 1ft²

x$ ---> 66ft²

= (66 × 4)/1

= $264.00

Answer:

a) 13% of people did not experience problems with an online transaction.

b) 36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website

c) 46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

Step-by-step explanation:

a. What percentage of people did not experience problems with an online transaction?

87% of people have experienced problems with an online transaction. So 100 - 87 = 13% of people did not experience problems with an online transaction.

b. What percentage of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website?

87% of people have experienced problems with an online transaction. Forty-two percent of people who experienced a problem abandoned the transaction or switched to a competitor′s website.

Then:

0.87*0.42 = 0.3654

36.54% of people experienced problems with an online transaction and abandoned the transaction or switched to a competitor′s website.

c. What percentage of people experienced problems with an online transaction and contacted customer-service representatives?

87% of people have experienced problems with an online transaction. Fifty-three percent of people who experienced problems contacted customer-service representatives.

Then:

0.87*0.53 = 0.4611

46.11% of people experienced problems with an online transaction and contacted customer-service representatives.

Answer:

[tex]n=(\frac{1.440(2.3)}{0.12})^2 =761.76 \approx 762[/tex]

So the answer for this case would be n=762 rounded up to the nearest integer

Step-by-step explanation:

Information given

[tex]\bar X = 17[/tex] represent the mean

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

[tex]\sigma= \sqrt{5.29}= 2.3[/tex] represent the standard deviation

Solution to the problem

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 =0.12 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} \sigma}{ME})^2[/tex]   (b)

The confidence level is 85%, the significance level would be [tex] \alpha=1-0.85 = 0.15[/tex] and [tex]\alpha/2 =0.075[/tex] the critical value for this case would be [tex]z_{\alpha/2}=1.440[/tex], replacing into formula (b) we got:

[tex]n=(\frac{1.440(2.3)}{0.12})^2 =761.76 \approx 762[/tex]

So the answer for this case would be n=762 rounded up to the nearest integer

Answer:

90

Step-by-step explanation:

it is 90 because in the first slot there can be any 10 numbers and in the second slot the set can contain any of the remaining 9 numbers and then we can multiply these two numbers together to find the total amount of sets.

hope this helps :)

Answer:

45 different sets

Step-by-step explanation:

There are 10 numbers in {0,1,2,3,4,5,6,7,8,9}.

We are looking for a combination since order doesn't mater

There are 10 options for the first number

We have chosen 1

Now there are 9 numbers

10*9

But since order doesn't matter, we divide by 2

The set {1,2} is the same as the set {2,1}

90/2 = 45

Answer:

I mean what’s clever

Step-by-step explanation:

Answer: what is clever?

Step-by-step explanation:

Answer:

The claim has no evidence to be supported.

On the contrary, there is enough evidence to support the claim that less than 25% of gamers prefer consoles.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The sample has a size n=503.

The sample proportion is p=0.211.

p=X/n=106/503=0.211

The sample proportion is less than 25%, so we will test the claim that less than 25% of gamers prefer consoles.  

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.25\\\\H_a:\pi<0.25[/tex]

The significance level is assumed to be 0.05.

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.25*0.75}{503}}\\\\\\ \sigma_p=\sqrt{0.000373}=0.019[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.211-0.25+0.5/503}{0.019}=\dfrac{-0.038}{0.019}=-1.9685[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.9685)=0.0245[/tex]

As the P-value (0.0245) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that less than 25% of gamers prefer consoles.