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4 years ago

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Interior designs USA charges $60 to evaluate the space plus $35 per hour of labor. Splash of color charges $55 per hour with no

initial fee period

1 answer:

Naddika [18.5K]4 years ago

3 0

Hi x=mx+b is slope intercept form

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PLEASEE HELP URGENT edgar rolls two six-sided number cubes. What is the probability that he rolls a 5 on the first cube and a nu

ivanzaharov [21]

Answer:D

Step-by-step explanation:

Probability of rolling a 5 on the first roll is 1/6 because there is only 1 number to roll out of 6. Then, roll a number larger than 4 is 5 and 6. That is 2 numbers. 2 numbers out of 6. Multiply those 2. 1/6 * 2/6=2/36. Simplified is 1/18

6 0

2 years ago

4(4m-3)-m(m-5)=-52 need all the steps

nadezda [96]

$\huge\mathcal {♨Answer♥}$

$\large\texttt{Simplifying: }$

4(4m -3) + -1m(m + -5) = -52

$\large\texttt{Reorder the terms: }$

4(-3 + 4m) + -1(m + -5) = -52

(-3 * 4 + 4m * 4) + -1(m + -5) = -52

(-12 + 16m) + -1(m + -5) = -52

$\large\texttt{Reorder the terms: }$

-12 + 16m + -1(-5 + m) = -52

-12 + 16m + (-5 * -1 + m * -1) = -52

-12 + 16m + (5 + -1m) = -52

$\large\texttt{Reorder the terms: }$

-12 + 5 + 16m + -1m = -52

$\large\texttt{Combine like terms: }$

-12 + 5 = -7

-7 + 16m + -1m = -52

$\large\texttt{Combine like terms: }$

16m + -1m = 15m

-7 + 15m = -52

$\large\texttt{Solving: }$

-7 + 15m = -52

-7 + 7 + 15m = -52 + 7

$\large\texttt{Combine like terms: }$

-7 + 7 = 0

0 + 15m = -52 + 7

15m = -52 + 7

$\large\texttt{Combine like terms: }$

-52 + 7 = -45

15m = -45

$\large\texttt{Divide each side by '15'. }$

15m ÷ 15 = -45 ÷ 15

m = -3

$\large\texttt{Simplifying: }$

m = -3

<u>☆</u><u>.</u><u>.</u><u>.</u><u>hope this helps</u><u>.</u><u>.</u><u>.</u><u>☆</u>

_♡_<em>mashi</em>_♡_

8 0

2 years ago

Sarah says that you can find the LCM of any two whole numbers by multiplying them together. Provide a counter example to show th

xenn [34]

Answer:

4·6 = 24 ≠ 12 = LCM(4, 6)

Step-by-step explanation:

Any pair of numbers with a common factor will refute Sarah's conjecture.

One such pair is 4 and 6, which have a product of 24. The LCM of 4 and 6 is 12, which is that product divided by their common factor of 2.

8 0

4 years ago

If SS= 162 from a sample of 15 data, find s^2

Genrish500 [490]

Answer:

11.57

Step-by-step explanation:

We have a simple formula to solve this:

$s^2=\frac{SS}{n-1}$

where

SS is sum of squares

s^2 is the variance, and

n is the number of data points

We are given all the info to find out s^2. Hence,

$s^2=\frac{SS}{n-1}\\s^2=\frac{162}{15-1}\\s^2=\frac{162}{14}=11.57$

8 0

4 years ago

Nationwide, the average waiting time until a electric utility customer service representative answers a call is 200 seconds per

Pavel [41]

Answer:

$z=\frac{120-200}{\frac{25}{\sqrt{30}}}=-17.527$

$p_v =P(Z$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

We can say that at 5% of significance the mean average waiting time is significantly less than 200 seconds per call.

Step-by-step explanation:

Data given and notation

$\bar X=120$ represent the sample mean

$\sigma=25$ represent the population standard deviation

$n=30$ sample size

$\mu_o =200$ represent the value that we want to test

$\alpha=0.05$ 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)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the population mean is less than 200, the system of hypothesis are :

Null hypothesis: $\mu \geq 200$

Alternative hypothesis: $\mu < 200$

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".

Calculate the statistic

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

$z=\frac{120-200}{\frac{25}{\sqrt{30}}}=-17.527$

P-value

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

$p_v =P(Z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis.

We can say that at 5% of significance the mean average waiting time is significantly less than 200 seconds per call.

3 0

3 years ago