Ask question

Ask question

All categories

4 years ago

6

Lester makes a string of beads 17 inches long. Jill makes a string of beads that is 3 inches longer than Lester’s. They put thei

r strings together.

1 answer:

Komok [63]4 years ago

6 0

Lester-17
Jill-17+3=20
Together 17+20=37 inches.

You might be interested in

True / False: ANOVA, Part I. Determine if the following statements are true or false in ANOVA, and explain your reasoning for st

Juliette [100K]

The answer is B hope that helps

7 0

3 years ago

A cube with a side length of 1008 units is dropped and completely submerged in a cube-shaped container. If the water level in th

Anni [7]

Answer:

The length of a side of the cube-shaped container is 2,016 units

Step-by-step explanation:

step 1

Find the volume of a cube with a side length of 1008 units

The volume of a cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=1,008\ units$

substitute

$V=(1,008)^3\ units^3$

step 2

Find the length side of the cube-shaped container

Let

x-----> the length side of the cube-shaped container in units

we know that

The area of the base of the cube-shaped container multiplied by 252 units must be equal to the volume of the cube with a side length of 1008 units

so

$x^{2} (252)=(1,008)^3$

solve for x

$x^{2} =\frac{(1,008)^3}{252}$

$x^2=4,064,256$

$x=\sqrt{4,064,256}$

$x=2,016\ units$

therefore

The length of a side of the cube-shaped container is 2,016 units

5 0

3 years ago

Licemer1 [7]

Answer:

xcgfcvgh

Step-by-step explanation:

4 0

4 years ago

Look at this diagram:

Goryan [66]

Answer:

angle FG=EU

angle EU=FG

FG:EU

FE=GU

6 0

4 years ago

You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confide

Gelneren [198K]

Answer:

The 90% confidence interval would be given by (110.168;117.832)

The 95% confidence interval would be given by (119.393;118.607)

Step-by-step explanation:

Assuming this info:" A random sample of 45 home theater systems has a mean price of $114.00. Assume the population standard deviation is $15.30. Construct a 90% and 95 confidence interval for the population mean".

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=114$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15.30 represent the sample standard deviation

n=45 represent the sample size

2) 90% confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=45-1=44$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,44)".And we see that $t_{\alpha/2}=1.68$

Now we have everything in order to replace into formula (1):

$114-1.68\frac{15.30}{\sqrt{45}}=110.168$

$114+1.68\frac{15.30}{\sqrt{45}}=117.832$

So on this case the 90% confidence interval would be given by (110.168;117.832)

3) 95% confidence interval

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,44)".And we see that $t_{\alpha/2}=2.02$

Now we have everything in order to replace into formula (1):

$114-2.02\frac{15.30}{\sqrt{45}}=119.393$

$114+2.02\frac{15.30}{\sqrt{45}}=118.607$

So on this case the 95% confidence interval would be given by (119.393;118.607)

6 0

3 years ago