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DanielleElmas [232]
3 years ago
15

Does (-3, -7) make the equation y = 4x + 5 true?

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer: Yes. True

Step-by-step explanation:

In (-3, -7) , -3 is x and -7 is y.

Now, put those values in the equation.

y = 4x + 5

-7 = (4×-3)+5

-7 = -12 + 5

-7 = -7, which is true

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A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
katrin [286]
<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

P(X=x)=^nC_xp^x(1-p)^{n-x} , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

The standard deviation = 8.53

6 0
3 years ago
How do you solve x+6/11=10/11
laiz [17]

Answer:

Step-by-step explanation:

x+6/11=10/11

This is a linear equation, because x has no power, so it will be solved by making x the subject of the equation.

Make x the subject

x+6/11=10/11

x=-6/11+10/11

x=10/11-6/11

Since both fractions have the same denominator, the LCM remains 11

x=(10-6)/11

x=4/11

To check if the answer is correct, we substitute x for 4/11 in the equation. And both sides of the equation must be equal

x+6/11=10/11

4/11+6/11=10/11

(4+6)/11=10/11

10/11=10/11

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3 years ago
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Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

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2 years ago
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