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mr Goodwill [35]
3 years ago
8

The perimeter of a triangle is 53 ft. Find the value of x. Then find the length of each side.

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

Answer:

Answer = 1.67 i.e <u>1</u>.4/6

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In the figure, a pair of parallel lines Is cut by a transversal. What kind of angle are angles A and C?
Sonbull [250]

Answer: Angles A and C are vertical angles.

Step-by-step explanation:

5 0
3 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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

Z = \frac{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 p-value, 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 = \frac{\sigma}{\sqrt{n}}.

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

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

Z = \frac{X - \mu}{s}

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

Z = \frac{X - \mu}{s}

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
If a 3,500 investment earns 120 over 3 years, what is the annual rate?
Katarina [22]

Answer:

The annual rate of interest is 2 %

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3  years

Let The annual interest rate = R

From simple interest method :

Simple Interest =  

Or, 210 × 100 = 3500 × R × 3

Or, R =  

Or, R =  

HOPE THIS HELPED!!

5 0
3 years ago
Find the midpoint of the following
zloy xaker [14]

Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.

6 0
2 years ago
Read 2 more answers
Find the length of AB<br> 80° arc
Shalnov [3]
I think it is 90. I hope this helpsb
7 0
2 years ago
Read 2 more answers
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