Write the first six nonzero multiples of 5

Mathematics

1 answer:

iragen [17]4 years ago

6 0

The first multiples of 5 without a zero are
5,15,25,35,45,55, we must elimitate the 10's because it has a zero

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Determine the margin of error, m m , of a 90% confidence interval for the mean IQ score of all students with the disorder. Assum

Vsevolod [243]

Answer:

The margin of error is 6.45.

Step-by-step explanation:

The complete question is:

As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.

Determine the margin of error, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, σ = 15 points.

The (1 - α)% confidence interval for population mean μ is:

$CI=\bar x\pm z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

Given:

n = 36

σ = 15

(1 - α)% = 99%

Compute the critical value of z for 99% confidence level as follows:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table.

Compute the value of MOE as follows:

$MOE= z_{\alpha/2}\times\frac{\sigma}{\sqrt{n}}$

$=2.58\times\frac{15}{\sqrt{36}}$

$=2.58\times 2.5\\=6.45$

Thus, the margin of error is 6.45.

5 0

3 years ago

Graph this equation of a circle? I'm stuck and I don't know how to approach this math problem.

Soloha48 [4]

First use the distance formula to find the radius of the circle:
d= $\sqrt{ ( x_{2}- x_{1}) ^{2}+ ( y_{2}- y_{1}) ^{2} }$

d= $\sqrt{ (-1-23)^{2}+ (5--2)^{2} }$

d= $\sqrt{ (-24)^{2}+ (7)^{2} }$

d= $\sqrt{ (-24+7)^{2} }$

d= $\sqrt{ (-17)^{2} }$

d=|17|
d=17

Next, find the equation of the circle (use the first picture):
(x+1)^2+(y-5)^2=17^2

Finally, input the equation into a graphing calculator:
(2nd picture)