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Romashka [77]
3 years ago
12

I need help with this question its due today and I don't understand it.

Mathematics
2 answers:
barxatty [35]3 years ago
8 0
Four puzzles i think
Angelina_Jolie [31]3 years ago
7 0

Answer:

4

Step-by-step explanation:

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What is the perimeter of ΔABC?
11111nata11111 [884]

Answer:

20

Step-by-step explanation:

Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.

perimeter = 2 + 2 + 5 + 5 + 3 + 3

perimeter = 20

3 0
3 years ago
) The National Assessment of Educational Progress (NAEP) gave a test of basic arithmetic and the ability to apply it in everyday
Vsevolod [243]

Answer:

a) The standard deviation of this sampling distribution is 2.07.

b) The missing number is 4.14.

c) The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

Step-by-step explanation:

To solve this question, we need to understand the Empirical Rule and the Central Limit Theorem.

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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 = \frac{\sigma}{\sqrt{n}}.

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

In this question:

\mu = 272, n = 840, \sigma = 60

(a) If we take many samples, the sample mean x⎯⎯⎯ varies from sample to sample according to a Normal distribution with mean equal to the unknown mean score μ in the population. What is the standard deviation of this sampling distribution?

Using the Central Limit Theorem:

s = \frac{\sigma}{\sqrt{n}} = \frac{60}{\sqrt{840}} = 2.07

The standard deviation of this sampling distribution is 2.07.

(b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x⎯⎯⎯ fall within _______ on either side of the unknown mean μ. What is the missing number?

Within 2 standard deviations of the mean.

So, 2*2.07 = 4.14

The missing number is 4.14.

(c) What is the 95% confidence interval for the population mean score μ based on this one sample?

Within 4.14 of the mean

272 - 4.14 = 267.86

272 + 4.14 = 276.14

The 95% confidence interval for the population mean score μ based on this one sample is between 267.86 and 276.14.

6 0
3 years ago
When 3 is subtracted from one third of a number n the result is less than 6 which inequality and solution represent this situati
Usimov [2.4K]
The first one is the answer
8 0
3 years ago
Read 2 more answers
Alice is playing her bill at a restaurant. The tax on the cost of her meal is 5%.She decides to leave a tip of 20% of her cost o
Oxana [17]

Answer:

5% * 20% = 0.01

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
Aliun [14]

Answer:

2

Step-by-step explanation:

A parallelogram is 4 sided figure. Since it is a irregular, the sides and angles must be in different measures.

When we rotating the irregular parallelograms about the midpoint of its diagonal, it will coincide with its pre-image at 180 degrees and 360 degrees.

Therefore, the answer is 2.

5 0
3 years ago
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