What are the algerbraic expression for the word expression: the quotient of c and 8

Solve average rate of change (4,-1) (-3,-2)

Vera_Pavlovna [14]

Answer:

$\frac{1}{7}$

Step-by-step explanation:

The slope of the line joining the 2 points is a measure of the average rate of change.

Calculate slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (- 3, - 2)

m = $\frac{-2+1}{-3-4}$ = $\frac{-1}{-7}$ = $\frac{1}{7}$ ← average rate of change

7 0

3 years ago

A customer placed an order with a bakery for cupcakes.

oksian1 [2.3K]

Answer:

is there more to this question because as it's it's it's just a statement

6 0

3 years ago

Read 2 more answers

Question 2

evablogger [386]

The domain of the function is x ≤ 6.88

The domain of the function is y ≤ 20

<h3>Domain and Range</h3>

These are input and output values for which the function exists

Given the function of x expressed as:

y = 3.5x + 2.8

The domain occurs at the point where 3.5x + 2.8 ≤ 20

3.5x ≤ 20 - 2.8

3.5x ≤ 17.2

x ≤ 6.88 - Domain

This given the domain of the function.

The range of the function is the point where y ≤ 20

Learn more on domain and range here: brainly.com/question/2264373

7 0

2 years ago

A development economist is studying income growth in a rural area of a developing country. The last census of the population of

kykrilka [37]

Answer:

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

Step-by-step explanation:

Data given and notation

$\bar X=433.75$ represent the mean height for the sample

$\sigma=\sqrt{2500}=50$ represent the population standard deviation for the sample

$n=100$ sample size

$\mu_o =425$ represent the value that we want to test

$\alpha=0.01$ 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 mean height actually is higher than the mean height for men in 1960, the system of hypothesis would be:

Null hypothesis: $\mu \leq 425$

Alternative hypothesis: $\mu > 425$

Since we know the population deviation so 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:

$z=\frac{433.75-425}{\frac{50}{\sqrt{100}}}=1.75$

P-value

Since is a one right tail test the p value would be:

$p_v =P(z>1.75)=1-P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can say that the population mean is not singificantly higher than 425.

3 0

3 years ago

it takes eddie 2 hours to shovel the snow from a driveway and sidewalk. brad can shovel the snow from a driveway and sidewalk in

Arada [10]

Answer:

The time required them working together to shovel the snow is T = 1.428 hours

Step-by-step explanation:

Given data

Time taken by first person to shovel the snow $T_1$ = 2 hours