MATHEMATICS HIGH SCHOOL

1)Which of the following is correct about parallelogram?
A. The consecutive angles are congruent
B. The diagonals bisect each other at right angle
C. The diagonals are congruent
D. The two pair of opposite sides are parallel and congruent​

Answers

Answer 1
Answer:

Answer:

the answer is D .I think I may not be wrong

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Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:A : 331 mm B : 331 cm C : 331 m D : 331 Km
Which expression is equivalent to (6x3+3x2+8)+(2x2−9x+10)?
The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of about 10. Suppose that 16 individuals are randomly chosen. Let x represent the average percent of calories in the sample. For the group 16, find the probability that the average percent of fat calories consumed is more than 37
Please help I’m stuck
If n and t are positive integers, what is the greatest prime factor of the product nt ?

Ralph sold brownies for ?$0.27 a piece in order to earn money to buy baseball cards. If the cards cost ?$0.81 per? pack, and if Ralph had no money left over after buying? them, what is the least number of brownies he must have? sold

Answers

Greetings!

Answer:

3 brownies

Step-by-step explanation:

To find this answer we need to divide the 0.81 by 0.27 to find out how many brownies total 0.81:

0.81 ÷ 0.27 = 3

So he needs to sell 3 brownies.


Hope this helps!

1)In a sample of 100 households, the mean number of hours spent on social networking sites during the month of January was 50 hours. In a much larger study, the standard deviation was determined to be 6 hours.
Assume the population standard deviation is the same. What is the 98% confidence interval for the mean hours devoted to social networking in January?

2)Two studies were completed in Florida. One study in northern Florida involved 2,000 patients; 64% of them experienced flu-like symptoms during the month of December.
The other study, in southern Florida, involved 3,000 patients;
54% of them experienced flu-like symptoms during the same month. Which study has the smallest margin of error for a 95% confidence interval?

Answers

So the following is the answer of the following question in your problem and please do not post to many question in just one posting. 
#1 The 98% confidence interval for the mean hours is between 6 and 50.
#2 The smallest margin of error between the two is southern florida with 1.8% margin of error.

A furniture maker uses the specification 21.88< or = w

Answers

Seems like your question is quite incomplete, I bet here is the missing part *<or = 22.12 for the width w in inches of a desk drawer. 
According to the fact that abs(w-22) should be less than equal to 12, the answer should have a look like this :  Iw - 22I < or = 0.12. I am pretty sure it will help you.
Next time check it carefully. Regards!

A manufacturing process is designed to produce bolts with a 0.75-inch diameter. Once each day, a random sample of 36 bolts is selected and the bolt diameters recorded. If the resulting sample mean is less than 0.730 inches or greater than 0.770 inches, the process is shut down for adjustment. The standard deviation for diameter is 0.04 inches. What is the probability that the manufacturing line will be shut down unnecessarily? (Hint: Find the probability of observing an x in the shutdown range when the true process mean really is 0.75 inches. Round your answer to four decimal places.)

Answers

Answer:

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

Step-by-step explanation:

We need to understand the normal probability distribution and the central limit theorem to solve this question.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = (X - \mu)/(\sigma)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = (\sigma)/(√(n)).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 0.75, \sigma = 0.04, n = 36, s = (0.04)/(√(36)) = 0.0067

What is the probability that the manufacturing line will be shut down unnecessarily?

Less than 0.73 or more than 0.77.

Less than 0.73

pvalue of Z when X = 0.73

Z = (X - \mu)/(\sigma)

By the Central Limit Theorem

Z = (X - \mu)/(s)

Z = (0.73 - 0.75)/(0.0067)

Z = -3

Z = -3 has a pvalue of 0.0013

More than 0.77

Z = (X - \mu)/(s)

Z = (0.77 - 0.75)/(0.0067)

Z = 3

Z = 3 has a pvalue of 0.9987

1 - 0.9987 = 0.0013

2*0.0013 = 0.0026

0.0026 = 0.26% probability that the manufacturing line will be shut down unnecessarily

I need help ASP! 1 inches equals 25 miles on a map if two cities on a map are 2 inches apart how far apart are actually

Answers

Hi there! This is basic multiplication, if 1 inch equals 25 miles than 2 inches equals 50 miles. To get this answer all I did was multiply 25 by 2 to get the answer of 50 miles.
just multiply 2*25 and the answer would be 50:)

X =

10
8
9
---------------------

Answers

Answer:

x = 8.

Step-by-step explanation:

Using the chords of a circle intersection theorem:

5x = 4 * 10

x = 40 /5

x = 8.

Answer:

X=8

Step-by-step explanation:
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