Find 4 1/5 · 7 2/3<br> plz answer quickly!

He total variance is $35000 f. the total materials variance is $14000 f. the total labor variance is twice the total overhead va

TiliK225 [7]

Assume that the total overhead variance is x
We are given that the total labor variance is twice the total overhead variance. This means that, the total labor variance is 2x

Total variance can be calculated as follows:
Total variance = Total materials variance + Total overhead variance
+ Total labor variance

We have:
Total variance = $35000
Total materials variance = $14000
Total overhead variance = x
Total labor variance = 2x

Substitute in the equation and solve for x as follows:
35000 = 14000 + x + 2x
35000 - 14000 = 3x
21000 = 3x
x = 21000/3
x = 7000

Based on the above calculations:
Total overhead variance = x = $7000
Total labor variance = 2x = 2*7000 = $14000

4 0

3 years ago

Simplify and verify the results for

KatRina [158]

Answer:

21440

Step-by-step explanation:

<h2>Simplify:</h2>

(7x³ + 8x² - 3)(x² - 5)

Start by multiplying 7x³ by x² and -5.

7x⁵ - 35x³ + (8x² - 3)(x² - 5)

Multiply 8x² by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² + (-3)(x² - 5)

Multiply -3 by x² and -5.

7x⁵ - 35x³ + 8x⁴ - 40x² -3x² + 15

Combine like terms together.

7x⁵ - 35x³ + 8x⁴ - 43x² + 15

Rearrange the terms in descending power order.

7x⁵ + 8x⁴ - 35x³ - 43x² + 15

<h2>Verify (I): </h2>

Substitute x = 5 into the above polynomial.

7(5)⁵ + 8(5)⁴ - 35(5)³ - 43(5)² + 15

Evaluate the exponents first.

7(3125) + 8(625) - 35(125) - 43(25) + 15

Multiply the terms together.

21875 + 5000 - 4375 - 1075 + 15

Combine the terms together.

21440

This is the answer when substituting x = 5 into the simplified expression.

<h2>Verify (II):</h2>

Substitute x = 5 into the expression.

[7(5)³ + 8(5)² - 3][(5)² - 5]

Evaluate the exponents first.

[7(125) + 8(25) - 3][(25) - 5]

Multiply the terms in the first bracket next.

[875 + 200 - 3][25 - 5]

Evaluate the expressions inside the brackets.

[1072][20]

Multiply these two terms together.

21440

This is the answer when substituting x = 5 into the original (unsimplified) expression.

3 0

2 years ago

One angle on a parallelogram measures 155 what are the measures of the other angle

Neko [114]

Answer: 25, 90 ,90

Step-by-step explanation:

One angle on a paralel = 155
=> x+ y + z + 155 = 360
x + y + z = 205 ; x + y ; y + z ; x + z = 180

x + y = 180
=> Z = 205 - 180
Z = 25 Degree
x = y = 90 degree

Mark me as Brainliest pls ! Tysm !

8 0

2 years ago

In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle discuss a research proposa

MakcuM [25]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500$

$p_v =2*P(Z>0.500)=0.617$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.

Step-by-step explanation:

Data given and notation

$X_{1}=25$ represent the number of homeowners who would buy the security system

$X_{2}=9$ represent the number of renters who would buy the security system

$n_{1}=140$ sample 1

$n_{2}=60$ sample 2

$p_{1}=\frac{25}{140}=0.179$ represent the proportion of homeowners who would buy the security system

$p_{2}=\frac{9}{60}= 0.15$ represent the proportion of renters who would buy the security system

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the two proportions differs , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{25+9}{140+60}=0.17$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500$

Statistical decision

For this case we don't have a significance level provided $\alpha$ , but we can calculate the p value for this test.

Since is a two sided test the p value would be:

$p_v =2*P(Z>0.500)=0.617$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.

6 0

3 years ago

The graph of which function has a y-intercept of 3

saw5 [17]

There is no graph I’m sorry I can’t help

5 0

2 years ago

Find 4 1/5 · 7 2/3 plz answer quickly!