All categories

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST, THANKS, AND RATE 5 STARS!!!

Mathematics

1 answer:

solmaris [256]3 years ago

3 0

First answer, this is because if you were to substitute the x and y variables which are the height and days the plant grew, then the 1st answer would be the answer

You might be interested in

50 points!!

snow_lady [41]

Answer:

(x-8) (x+7)

Step-by-step explanation:

x^2 -x-56

We want to factor this problem.

What two numbers multiply to negative 56 and add to -1

-8 *7 = -56

-8+7 = -1

We can use -8 and 7

(x-8) (x+7)

Check:

FOIL

first: x*x =x^2

outer: 7x

inner:-8x

last: -8*7 = -56

Add this together

x^2 +7x-8x -56 = x^2 -x-56

3 0

3 years ago

Please help!! It is easy!!<br> 180:60 in simplest form<br><br> 15 pts for this question

alexandr1967 [171]

It is 3 over one . 3:1 because 60x3 is 180.

7 0

4 years ago

Read 2 more answers

Given a circle with a radius of 0.85 meters, find the area of 1/3 of the circle. Use 3.14 for pi and round to the nearest hundre

OlgaM077 [116]

Answer:

.76 meters

Step-by-step explanation:

The area of a circle is pi*r^2

3.14*.85^2 = 2.26865

Dividing this into thirds gives us approximately .75621666666

Round to the nearest hundredth.

.76

Label the answer.

.76 meters

8 0

3 years ago

Read 2 more answers

Find the unit rate at which Jonas is paid.

Aleks [24]

Answer:

5 dollars per hour

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

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