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katrin [286]
3 years ago
7

Which value below will make 3-6x=21

Mathematics
1 answer:
Lorico [155]3 years ago
4 0

We are given the following equation and want to find which value of x will make it true:

3-6x=21

Subtract 3 from both sides

-6x=18

Divide both sides by -6

x=-3

Thus, the value that will make 3-6x=21 is x=-3. Let me know if you need any clarifications, thanks!

~ Padoru

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4. Assume that the chances of a basketball player hitting a 3-pointer shot is 0.4 and the probability of hitting a free-throw is
vovikov84 [41]

Answer:

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

Step-by-step explanation:

For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.

Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

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.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that p = 0.4. So this is P(X = 3) when n = 10.

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

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499

Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that p = 0.65. The probability is P(X = 5) when n = 10.

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

P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357

Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.

0.21499*0.15537 = 0.0334

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

5 0
3 years ago
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4vir4ik [10]
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3 0
3 years ago
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What are the factors of 7x + 5x + 12 + 23
emmainna [20.7K]

Answer:

7, x, 5, and x

Step-by-step explanation:

factors are numbers or variables being multiplied by something else. 12 and 23 arent being multiplied by anything

4 0
3 years ago
In the model below what is x and how do I solve it​
tiny-mole [99]

Answer:so that’s a interior triangle so the mean your 2 points in the inside and the equation on the outside.

X=6

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Combined our alike terms on the left side of the equation. So 8x+3x and -4+17.

11x+13=17x-23

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Now the answer is x=6

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Answer:

The volume is 192

Step-by-step explanation:

Multiply the bottom numbers which are 2, 2, 6, 4, and 2.

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