Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.

4 0

4 years ago

Suppose your boss wants you to obtain a sample to estimate a population mean. Based on previous analyses, you estimate that 49 i

VashaNatasha [74]

Answer:

the minimum sample size n = 11.03

Step-by-step explanation:

Given that:

approximate value of the population standard deviation $\sigma$ = 49

level of significance ∝ = 0.01

population mean = 38

the minimum sample size n = ?

The minimum sample size required can be determined by calculating the margin of error which can be re[resented by the equation ;

Margin of error = $Z_{ \alpha /2}} \times \dfrac{\sigma}{\sqrt{n}}$

$38 = \dfrac{2.576 \times 49}{\sqrt{n}}$

$\sqrt{n} = \dfrac{2.576 \times 49}{38}$

$\sqrt{n} = \dfrac{126.224}{38}$

$\sqrt{n} = 3.321684211$

$n= (3.321684211)^2$

n ≅ 11.03

Thus; the minimum sample size n = 11.03

5 0

3 years ago

Write 3 equivalent forms of 0.472 using decimals and fractions?

Vinvika [58]

59/125, 472/1000, 236/500

3 0

3 years ago

Read 2 more answers

Find the area of the circle r=6

sdas [7]

Answer:

113.1

Step-by-step explanation:

8 0

3 years ago