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Yuri [45]
3 years ago
5

4. Which of the following describes all the solutions of -4x + 2y > 12 when y = 4?

Mathematics
1 answer:
Alja [10]3 years ago
5 0

Answer:

Option B is correct

Step-by-step explanation:

Given data

We are given the expression

-4x + 2y > 12

We want to substitute y=4 into the expression

-4x + 2(4) > 12

-4x + 8 > 12

-4x> 12-8

-4x> 4

divide both sides by -4

x> 4/-4

x>-1

Hence option B is correct

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Given that P(E) = 0.38, P(F) = 0.38, and P(E ∩ F) = 0.12. Find P(E ∪ F, how do I work this out?
natulia [17]

Answer: The value of P(E∪F) = 0.64.

Step-by-step explanation:

Since we have given that

P(E) = 0.38

P(F) = 0.38

P(E∩F) = 0.12

So, we need to find the P(E∪F).

As we know the formula for the sets.

P(E\cup F)=P(E)+P(F)-P(E\cap F)\\\\P(E\cup F)=0.38+0.38-0.12=0.64\\\\P(E\cup F)=0.64

Hence,the value of P(E∪F) = 0.64.

3 0
3 years ago
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levacccp [35]

Answer:

answer is

Step-by-step explanation:

The number of students in order from least to greatest is 14<24<27<54

Step-by-step explanation:

Total students = 150

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No. of students play soccer = 

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No. of students play basketball = 

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The number of students in order from least to greatest is 14<24<27<54

6 0
3 years ago
A surgical technique is performed on seven patients. You are told there is a 70% chance of success. Use a table to find the prob
kiruha [24]

Answer:

31.77% probability the surgery is successful for exactly five patients.

Step-by-step explanation:

For each patient, there are only two possible outcomes. Either the surgery is successful, or it is not. The probability of the surgery being successful for a patient is independent of other patients. 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.

A surgical technique is performed on seven patients.

This means that n = 7

You are told there is a 70% chance of success.

This means that p = 0.7

Find the probability the surgery is successful for exactly five patients.

This is P(X = 5).

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

P(X = 5) = C_{7,5}.(0.7)^{5}.(0.3)^{2} = 0.3177

31.77% probability the surgery is successful for exactly five patients.

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3 years ago
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Step-by-step explanation:

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