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2 years ago

5

Addison wants to cut 21 centimeters of lace, but her ruler is only calibrated in millimeters. How many millimeters of lace shoul

d she cut?

1 answer:

serg [7]2 years ago

5 0

1 cm = 10 mm

(21 cm)(10) = 210 mm

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A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She

Gnom [1K]

Answer: We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

Step-by-step explanation:

We know that a 95% confidence interval given an interval of values that we can be 95% sure , that it contains the true mean of the population, not 95% of data lies in it.

Given : A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She collects a random sample of 25 people.

The resulting 95% confidence interval is ($26700, $35400).

Then, valid conclusion will be : We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.

5 0

2 years ago

the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place

Lynna [10]

Answer:

√3 * 5 = 5√3 cm

Step-by-step explanation:

→ ABCDEFGH is a cube.

→ CF = Diagonal of cube.

→ CH = Diagonal of Base Face BCDH.

→ Let the side of Each cube = a.

Than,

in Right ∆CFH, By Pythagoras Theoram, we have,

→ CH² + FH² = CF² --------- Equation (1)

and, Similarly, in Right ∆CDH ,

→ CD² + DH² = CH² ------- Equation (2).

Putting Value of Equation (2) in Equation (1), we get,

→ (CD² + DH²) + FH² = CF²

→ a² + a² + a² = CF²

→ CF² = 3a²

→ CF = √3a .

Hence, we can say That Diagonal of a cube is √3 times of its sides.

__________________

Given:-

Side of cube = 5cm.

So,

→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)

4 0

2 years ago

A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or fal

nalin [4]

Answer:

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

6 0

2 years ago

Read 2 more answers

PLEASE HELP !!! The cost of a pottery painting party is $9 per person, plus a one-time supply fee of $89. Which of the following

stiv31 [10]

c(x)=9x+89

I know that you don't have the answer listed, but it is the correct answer.

3 0

2 years ago

Read 2 more answers

n 2018, homes in East Baton Rouge (EBR) Parish sold for an average of $239,000. You take a random sample of homes in Ascension p

Olenka [21]

Answer:

Conclusion

There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

The population mean for EBR is $\mu_ 1 = \$239,000$

The sample mean for Ascension parish is $\= x_2 = \$246,000$

The p-value is $p-value = 0.045$

The level of significance is $\alpha = 0.01$

The null hypothesis is $H_o : \mu_2 = \mu_1$

The alternative hypothesis is $H_a : \mu_2 > \mu_1$

Here $\mu_2$ is the population mean for Ascension parish

From the data given values we see that

$p-value > \alpha$

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

3 0

2 years ago