(11 + 42 - 5) / (11 - 4) (11+42-5) 48/(11-4) 48/7

A carpenter charges $45 for every 50 feet of fence he builds plus a travel charge of $37.50. If the equation, C = 4550F + 37.5 ,

Tju [1.3M]

Answer:

Step-by-step explanation:

Given the total cost of the building expressed as;

C = 4550F + 37.5

C is the total cost

F is the length of the fence

Given

C = $352.50

Required

The length of the fence F

Substitute into the formula;

C = 4550F + 37.5

$352.50 = 4550F + 37.5

4550F = 352.50 - 36.5

4550F = 316

F = 316/4550

F = 0.0695 feet

hence 0.0695 feet of fence will cost $352.50

4 0

2 years ago

20 points!! Solve this system of lineal equations.separate the x- and y- values with a comma

Zielflug [23.3K]

Solve the following system:{12 x = 54 - 6 y | (equation 1)-17 x = -6 y - 62 | (equation 2)
Express the system in standard form:{12 x + 6 y = 54 | (equation 1)-(17 x) + 6 y = -62 | (equation 2)
Swap equation 1 with equation 2:{-(17 x) + 6 y = -62 | (equation 1)12 x + 6 y = 54 | (equation 2)
Add 12/17 × (equation 1) to equation 2:{-(17 x) + 6 y = -62 | (equation 1)0 x+(174 y)/17 = 174/17 | (equation 2)
Multiply equation 2 by 17/174:{-(17 x) + 6 y = -62 | (equation 1)0 x+y = 1 | (equation 2)
Subtract 6 × (equation 2) from equation 1:{-(17 x)+0 y = -68 | (equation 1)0 x+y = 1 | (equation 2)
Divide equation 1 by -17:{x+0 y = 4 | (equation 1)0 x+y = 1 | (equation 2)
Collect results:Answer: {x = 4 {y = 1

Please note the { are supposed to span over both equations but it interfaces doesn't allow it. Please see attachment for clarification.

7 0

3 years ago

A line that is parallel to the graph of y=1/2+6 with a y-intercept of(0,-2)

Elena L [17]

1/2x-2 is one answer

5 0

3 years ago

The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in

oksano4ka [1.4K]

Answer:

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

$p_v =P(Z>2)=0.0228$

Step-by-step explanation:

1) Data given and notation

$\bar X=8300$ represent the sample mean

$\sigma=1200$ represent the population standard deviation

$n=64$ sample size

$\mu_o =800$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

2) State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :

Null hypothesis: $\mu \leq 8000$

Alternative hypothesis: $\mu > 8000$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

3) Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2$

4) P-value

Since is a one-side upper test the p value would given by:

$p_v =P(Z>2)=0.0228$

5) Conclusion

If we compare the p value and the significance level assumed, for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.

4 0

3 years ago

Which of the following will NOT produce a triangle?

Phantasy [73]

I think its d, because A and Cs angles make 180. And B has two equal sides that make it possible to make a triangle. Sorry i couldnt be more helpful

6 0

3 years ago

Read 2 more answers

(11 + 42 - 5) / (11 - 4) (11+42-5) 48/(11-4) 48/7​

(11 + 42 - 5) / (11 - 4) (11+42-5) 48/(11-4) 48/7