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3 years ago

How do i graph a dilation of 1.5

1 answer:

4 0

Answer: In order to graph a dilation, use the center of dilation and the scale factor. Find the distance between a point on the preimage and the center of dilation. Multiply this length by the scale factor.

Step-by-step explanation:

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A production process produces 2% defective parts. A sample of nine parts from the production process is selected. What is the pr

Natasha_Volkova [10]

Answer:

a. .0125

Step-by-step explanation:

For each part, there are only two possible outcomes. Either it is defective, or it is not. The probability of a part being defective is independent of any other part. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

2% defective parts.

This means that $p = 0.02$

A sample of nine parts from the production process is selected.

This means that $n = 9$

What is the probability that the sample contains exactly two defective parts?

This is P(X = 2).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{9,2}.(0.02)^{2}.(0.98)^{7} = 0.0125$

0.0125 = 1.25% probability that the sample contains exactly two defective parts. The correct answer is given by option a.

8 0

3 years ago

WZ = 32, YZ = 6, and X is the midpoint of WY. Find WX.

GrogVix [38]

We are given the length of two segments:

WZ = 32

YZ = 6

and we are told that x is the midpoint of the segment WY

We are asked to find the length of the segment WX

Notice that the total length of the segment WZ is 32. from the point Y to the point Z we have 6 units. therefore, between W and Y there is 32 - 6 = 26 units.

SInce X is the midpoint of the distance between W and Y, then it has to cut the segment WY (26 units long) in two equal parts, each of length 13 units (half of 26).

Therefore, WX must be of length 13 units.

3 0

2 years ago

Tan(-x) cos(-x) = Simplify the expression

Tamiku [17]

Answer:

- sin (x)

Step-by-step explanation:

hope this helps :)

8 0

3 years ago

Read 2 more answers

An experiment started with 100 bacteria. They double in number every hour. Find the number of bacteria after 8 hours.

zzz [600]

There will be 25,6000

8 0

4 years ago

Suppose you were given a 95% confidence interval for the difference in two population means. What could you conclude about the p

Savatey [412]

Answer:

(a) The population means are not same.

(b) The population means are same.

Step-by-step explanation:

The hypothesis to test whether there is a significant difference between two population means is:

H₀: There is no difference between the two population means, i.e. μ₁ - μ₂ = 0.

Hₐ: There is no difference between the two population means, i.e. μ₁ - μ₂ ≠ 0.

The decision rule based on confidence interval for the difference between two population means is:

If the confidence interval consists the null value of the difference, i.e. 0 then the null hypothesis will be accepted or else it will be rejected.

(a)

It is provided that the confidence interval for the difference between two population means does not contains 0.

Since the null value of the difference is not contained in the interval, it can be concluded that the null hypothesis will be rejected.

Thus, the population means are not same.

(b)

It is provided that the confidence interval for the difference between two population means does contains 0.

Since the null value of the difference is contained in the interval, it can be concluded that the null hypothesis will not be rejected.

Thus, the population means are same.

6 0

3 years ago

Read 2 more answers