The table shows values for functions f(x) and g(x) .

When y is 2.6 and x is 13 what is the constant of the variation

Nat2105 [25]

K is the constant.
y = kx
2.6 = k times 13
k= 2.6/13 = 0.2

8 0

3 years ago

Can someone help me please

Citrus2011 [14]

Answer:

time is Y-axis and gallons is x-axis

5 0

3 years ago

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

bixtya [17]

Answer:

For this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

Step-by-step explanation:

We have the following dataset given:

$X= 43$ represent the households consisted of one person

$n= 125$ represent the sample size

$\hat p= \frac{43}{125}= 0.344$ estimated proportion of households consisted of one person

We want to test the following hypothesis:

Null hypothesis: $p \leq 0.27$

Alternative hypothesis: $p>0.27$

And for this case we can find the critical value with the significance level $\alpha=0.05$ and if we find in the right tail of the z distribution we got:

$z_{\alpha}= 1.64$

The statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing we got:

$z=\frac{0.344 -0.27}{\sqrt{\frac{0.27(1-0.27)}{125}}}=1.86$

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of households with one person is significantly higher than 0.27

5 0

3 years ago

Garry has 15 apples he gives 8 away how many apples does Garry have left?

Anuta_ua [19.1K]

Answer:

7 apples left

Step-by-step explanation:

So he has 15 apples. IF he gives aways 8, he only has 15-8= 7 apples left

7 0

3 years ago

Read 2 more answers

What is the point slope form of a line that has a slope of five and passes through the point 3, -4

Vikki [24]

Answer:

y=5x-19

Step-by-step explanation:

This is it because you have to find the variable for b

5 0

3 years ago