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3 years ago

Which of the following is the solution

Mathematics

1 answer:

serg [7]3 years ago

7 0

|x| + 9 ≤ 7

Add -9 from each side
|x| + 9 + −9 ≤ 7 + −9
|x| ≤ −2

Now solve the absolute value
(You can't because the absolute value would end up less than 0 and it's not possible for that to happen)

No Solution

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The sum of two numbers is 15. Using x to represent the smaller of the two numbers, translate "the sum of twice the smaller numbe

Paladinen [302]

Answer:

Step-by-step explanation: Let x be the smaller and y be the largest number.

Since x+y=13, we deduce y=13-x

Now, for the translation: "two more than the larger number" is y+2 , while "twice the smaller" is 2x

Their sum is y+2+2x

And since we know that y=13-x, we have y+2+2x=13-x+2+2=15+x

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1 year ago

Geometry Angles question 4, Thanks if you help

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Question 4: (C)

Question 5: (B)

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4 years ago

The probability that a lab specimen contains high levels of contamination is 0.14. A group of 4 independent samples are checked.

Shtirlitz [24]

Answer:

a) 0.5470 = 54.70% probability that none contain high levels of contamination.

b) 0.3562 = 35.62% probability that exactly one contains high levels of contamination.

c) 0.4530 = 45.30% probability that at least one contains high levels of contamination.

Step-by-step explanation:

For each sample, there are only two possible outcomes. Either they contain high levels of contamination, or they do not. The samples are independent. So we use the binomial probability distribution 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.

The probability that a lab specimen contains high levels of contamination is 0.14.

This means that $p = 0.14$

A group of 4 independent samples are checked.

This means that $n = 4$

(a) What is the probability that none contain high levels of contamination?

This is P(X = 0)

$P(X = 0) = C_{4,0}.(0.14)^{0}.(0.86)^{4} = 0.5470$

0.5470 = 54.70% probability that none contain high levels of contamination.

(b) What is the probability that exactly one contains high levels of contamination?

This is P(X = 1)

$P(X = 1) = C_{4,1}.(0.14)^{1}.(0.86)^{3} = 0.3562$

0.3562 = 35.62% probability that exactly one contains high levels of contamination.

(c) What is the probability that at least one contains high levels of contamination?

Either none of the samples contain high levels of contamination, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want to find $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.5470 = 0.4530$

0.4530 = 45.30% probability that at least one contains high levels of contamination.

8 0

3 years ago

Dan earns £9.70 per hour. How much will he earn for 5 hours work?

Mademuasel [1]

Answer:

48.50

Step-by-step explanation:

9.70 x 5

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4 years ago

Read 2 more answers

Help maybe , I appreciate it ???

algol [13]

The answer is 48 because if a right angle is 90 degrees and angle one 42 then you do 90-42 and you get 48 for angle 2.

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3 years ago