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2 years ago

Rectangle a is dilated to form rectangle b. what is the scale factor used .

Mathematics

1 answer:

DerKrebs [107]2 years ago

4 0

Answer:

Step-by-step explanation:

The scale factor is 5. Answered by Gauthmath

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What is the measure of ZA?<br> Please help

ElenaW [278]

If you mean the measure of angle A then the answer is 28°

8 0

3 years ago

Please answer this correctly

SCORPION-xisa [38]

Answer:

1. <B, <A, <C

2. <E, <D, <F

Step-by-step explanation:

Recall: the longest side of a triangle would be opposite the largest angle, while the shortest side of a triangle would be opposite the smallest angle.

1. <B is opposite the shortest side, 3 (smallest angle)

<A is opposite the medium side, 4 (medium angle)

<C is opposite to the largest side, 5 (largest angle)

Therefore, the angles in ascending order would be:

<B, <A, <C

2. <E is opposite the shortest side, 5 (smallest angle)

<D is opposite the medium side, 6 (medium angle)

<F is opposite to the largest side, 7 (largest angle)

Therefore, the angles in ascending order would be:

<E, <D, <F

6 0

3 years ago

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=12, p=0.2)$

And we want to find this probability:

$P(X > 3)$

And we can use the complement rule and we got:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

4 0

3 years ago

Read 2 more answers

Are the following expressions equivalent

goblinko [34]

Answer:

No..

Step-by-step explanation:

=> 7(2n+3) and 14n +3

(lets solve 7(2n+3) = 14n+3)

=> 7(2n+3)

=> (7×2n)+(7×3)

=> 14n + 21

•°• 7(2n+3) not equal to 14n +3

8 0

2 years ago

Tom buys a bag of 11 tangerines for $2.86. Find the unit price in dollars per tangerine. If necessary, round your answer to the

mojhsa [17]

$2.86/11 oranges
= $0.26/orange

5 0

3 years ago

Rectangle a is dilated to form rectangle b. what is the scale factor used .​

Rectangle a is dilated to form rectangle b. what is the scale factor used .