Y = a(b^x)

y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.

y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant

4 0

3 years ago

Calculate the number of two-person committees that can be formed from a group of 10 people

ioda

Bikash borrowed Rs150,000 from Anish at the rare 21% per year at the end of 9 month. How compound interest should he pay compound half yearly.

4 0

2 years ago

I have a circular pool that I want to put a cover over. The pool is 16 feet across. About how many square feet of material will

pickupchik [31]

Jcjcjcjckccj I I I I over

8 0

3 years ago

70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food

Artist 52 [7]

<h2><u>Answer with explanation:</u></h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

$H_0: p =0.70\\\\ H_a: p >0.70$

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where n= sample size.

p= population proportion.

$\hat{p}$ = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and $\hat{p}=\dfrac{240}{300}=0.8$

Then,

$z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78$

For significant level α = .05 , the critical z-value is

$z_{0.05}=1.645$

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..

4 0

3 years ago