2<br> Simplify the expression<br> (1 point)

The first correct answer gets $5 through cash app or paypal. i will be checking! :)

Galina-37 [17]

Answer:

c=116 a=47 b=69 e=86 d=93

Step-by-step explanation:

4 0

3 years ago

Lea walked 1/2 miles in 1/3 hours.how long will it take lea to walk 2 1/4 miles?enter your answer as a mixed number in simplest

const2013 [10]

So I worked this out by adding all the houses together. I whole hour is two half hours. So it made it 2/3 of an hour. so I added everything together = 1/3+ 1/3+ 1/3 +1/3+ 1.5/3 = 3 1/2 Hours to walk.

8 0

3 years ago

Find three consecutive positive integers such that the product of the first andâ third, minus theâ second, is 1 more than 33 tim

AlladinOne [14]

consecutive positive integers...x, x + 1, x + 2

x (x + 2) - (x + 1) = 33(x + 2) + 1
x^2 + 2x - x - 1 = 33x + 66 + 1
x^2 + x - 1 = 33x + 67
x^2 -32x - 68 = 0
(x + 2)(x - 34) = 0

x + 2 = 0
x = -2 ...not this one because it is negative

x - 34 = 0
x = 34

x + 1 = 34 + 1 = 35
x + 2 = 34 + 2 = 36

ur numbers are 34,35,36

5 0

3 years ago

Help me with this it’s due tomorrow at 11 am

Evgesh-ka [11]

Answer:

I'm sorry i can't help with all of the math, I do know that the answer for the radius is 4 though.

Step-by-step explanation:

4 0

3 years ago

The resistors produced by a manufacturer are required to have an average resistance of 0.150 ohms. Statistical analysis of the o

Ugo [173]

Answer:

a) The p-value of the test is 0.2076 > 0.05, which means that the sample indicates that the resistors are conforming.

b) The 95% confidence interval for the average resistance is (0.147, 0.153). 0.152 is part of the confidence interval, which means that as the test statistic in item a), it indicates that the resistors are conforming.

Step-by-step explanation:

Question a:

The resistors produced by a manufacturer are required to have an average resistance of 0.150 ohms.

At the null hypothesis, we test if this is the average resistance, that is:

$H_0: \mu = 0.15$

We are interested in testing the hypothesis that the resistors conform to the specifications.

At the alternative hypothesis, we test if it is not conforming, that is, the mean is different of 0.15, so:

$H_1: \mu \neq 0.15$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.15 is tested at the null hypothesis:

This means that $\mu = 0.15$

Sample mean of 0.152, sample of 10, population standard deviation of 0.005.

This means that $X = 0.152, n = 10, \sigma = 0.005$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.152 - 0.15}{\frac{0.005}{\sqrt{10}}}$

$z = 1.26$

P-value of the test and decision:

The p-value of the test is the probability of the sample mean differing from 0.15 by at least 0.152 - 0.15 = 0.002, which is P(|z| > 1.26), given by two multiplied by the p-value of z = -1.26.

Looking at the z-table, z = -1.26 has a p-value of 0.1038.

2*0.1038 = 0.2076

The p-value of the test is 0.2076 > 0.05, which means that the sample indicates that the resistors are conforming.

Question b:

We have to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a p-value of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96\frac{0.005}{\sqrt{10}} = 0.003$

The lower end of the interval is the sample mean subtracted by M. So it is 0.15 - 0.003 = 0.147.

The upper end of the interval is the sample mean added to M. So it is 0.15 + 0.003 = 0.153.

The 95% confidence interval for the average resistance is (0.147, 0.153). 0.152 is part of the confidence interval, which means that as the test statistic in item a), it indicates that the resistors are conforming.

8 0

3 years ago

2 Simplify the expression (1 point)