Solve: x to the 3rd power equals 1 over 8

1 answer:

8 0

X should be 1/2
The way I solved this was by viewing 1/8. I grabbed 8 from the equation and did 8^(1/3) which got me 2. In addition both 1/8 and 1/2^3 in decimal form are both 0.125

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A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample m

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Answer:

Given : The sample mean score is 51.48 .

The standard deviation for the population of test scores is 15.

The nationwide average score on this test is 50.

To Find : Perform the hypothesis test and compute the P-value?

Solution:

Sample size = n = 64

Since n > 30

So, we will use z test over here

We are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

Hypothesis : $H_0:\mu \leq 50\\H_a:\mu>50$

Formula of z test : $z =\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$x = 51.48\\\mu = 50\\\sigma = 15\\ n = 64$

Substitute the values

$z =\frac{51.48-50}{\frac{15}{\sqrt{64}}}$

$z =0.789$

Find the value of P(z) from z table

p(z)=0.7823

Since we are given that we are supposed to find The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average.

So, p value = 1-P(z) = 1-0.7823=0.2177

In general , Level of significance is 0.05

So, p value is greater than alpha.

So, we accept the null hypothesis.

5 0

3 years ago

Read 2 more answers

What formula to use <br> Answer

77julia77 [94]

Check the picture below.

now, since we know what "f" is, let us use the CNT triangle with the small COR one.

$\bf \cfrac{36+f+30}{36}=\cfrac{48+32+g}{48}\implies \cfrac{36+24+30}{36}=\cfrac{48+32+g}{48} \\\\\\ \cfrac{90}{36}=\cfrac{80+g}{48}\implies \cfrac{5}{2}=\cfrac{80+g}{48}\implies 240=160+2g \\\\\\ 80=2g\implies \cfrac{80}{2}=g\implies 40=g$