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3 years ago

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

A triangle has to add up to 180 degrees, so
106 + 48 = 154
180 - 154 = 26

ANSWER: 26 degrees

This should be right and I hope it helps :)

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2. It has been estimated that about 30% of frozen chickens are contaminated with enough salmonella bacteria to cause illness if

Darina [25.2K]

Using the binomial distribution, it is found that there is a 0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

For each chicken, there are only two possible outcomes, either they are contaminated, or they are not. The chickens are independently selected, hence, the binomial distribution is used.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

About 30% of frozen chickens are contaminated, hence $p = 0.3$ .

Chickens are delivered to grocery stores in crates of 24, hence $n = 24$ .

The probability that a certain crate has <u>more than 4 contaminated</u> chickens is:

$P(X > 4) = 1 - P(X \leq 4)$

In which:

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

Then

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

$P(X = 0) = C_{24,0}.(0.3)^{0}.(0.7)^{24} = 0.0002$

$P(X = 1) = C_{24,1}.(0.3)^{1}.(0.7)^{23} = 0.0020$

$P(X = 2) = C_{24,2}.(0.3)^{2}.(0.7)^{22} = 0.0097$

$P(X = 3) = C_{24,3}.(0.3)^{3}.(0.7)^{21} = 0.0305$

$P(X = 4) = C_{24,4}.(0.3)^{4}.(0.7)^{20} = 0.0687$

Hence

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0002 + 0.0020 + 0.0097 + 0.0305 + 0.0687 = 0.1111$

0.1111 = 11.11% probability that a certain crate has more than 4 contaminated chickens.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

Given the following functions f(x) and g(x), solve (f ⋅ g)(3) and select the correct answer below:

Taya2010 [7]

F(x) = 4x^2 + 12
g(x) = x - 1
(f o g)(x) = f(g(x)) = 4(x - 1)^2 + 12 = 4(x^2 - 2x + 1) + 12 = 4x^2 - 8x + 4 + 12 = 4x^2 - 8x + 16

(f o g)(3) = 4(3)^2 - 8(3) + 16 = 4(9) - 24 + 16 = 36 - 8 = 28

6 0

3 years ago

Four to the sixth power times four to the -8th power please explain how to do this I don't understand it

Alenkinab [10]

Your question equals 1/16 or 0.0625.

6 0

3 years ago

Evaluate C(3, 3)<br><br> 1<br> 6<br> 24

Anestetic [448]

Answer:

Step-by-step explanation:

Using the definition