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fgiga [73]
3 years ago
7

Which one is it? need help please

Mathematics
1 answer:
klio [65]3 years ago
3 0
When x = - 4 then
y = 1/2(-4) -6
y = -2 - 6
y = -8
solution (-4, -8)
answer is 
B. (-4, -8) second choice
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A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st
Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. 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 multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that n = 15, p = \frac{1}{5} = 0.2

What is the probability that he answers at least 10 questions correctly?

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

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

P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001

P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011

P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0

P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0

P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0

P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0

P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111

0.0111% probability that he answers at least 10 questions correctly

3 0
3 years ago
10. When you add the same number to both sides of an inequality, is the inequality still true? Explain how you know your stateme
avanturin [10]

The inequality is still true! If you add a number, say 5 to both sides of the following inequality, does anything change?

3 < 6

3 + 5 < 6 + 5

8 < 11

The inequality is still true. We know the statement holds for subtracting the same number because, in a way, addition and subtraction are pretty much the same operation. If I subtract 5 from both sides, I can think of it like "I add negative 5 to both sides" or something along those lines. It's kind of backwards thinking.

6 0
3 years ago
Y= 10x - 32 what is the x and y value of this equation
s344n2d4d5 [400]

Answer:

It depends, Y or X have to be set up to get an actual number because you can simply plug any numbers.

6 0
3 years ago
Find the intercept form of y=2(x-1)(x+5)
elena-14-01-66 [18.8K]
I think y=2x^2+8x-10
In case u don't know ^2 means square so don't put ^2 put the 2 next to the x on top cuz some ppl get confused
hoped I helped!:)
3 0
3 years ago
Can somebody help me please is it A,B,C,D
kvasek [131]

Answer:

80 degrees

Step-by-step explanation:

The only given angle here is angle 4, which measures 100 degrees.

<u>1) Identify angle relationships</u>

Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.

<u>2) Solve for angle 6</u>

180-Angle 4=Angle 6

180-100=Angle 6

80=Angle 6

Therefore, the measure of angle 6 is 80 degrees.

I hope this helps!

4 0
3 years ago
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