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3 years ago

Solve 3(x-5)-4(x+3)=

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

3(x-5)-4(x+3)

Multiply the first bracket by 3

(3)(x)=3x

(3)(-5)=-15

(-4)(x)=-4x

(-4)(3)=-12

3x-15-4x-12

3x-4x-15-12 ( combine like terms)

Answer: -x-27

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Alexxandr [17]

Answer:

y = 4

Step-by-step explanation:

the equation of the that passes through the point (1,4)and is the parallel to the x-axis

So the equation: y = 4. Doesn't matter what value of x but y is always equal 4

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3 years ago

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Consider the following binomial experiment. The probability that a green jelly bean is chosen at random from a large package of

Flura [38]

Answer:

There is a 5.79% probability that at most 2 jelly beans are chosen.

Step-by-step explanation:

For each jelly bean chosen, there are only two possible outcomes. Either it is green, or it is not. This is why we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

There are 13 jelly beans, so $n = 13$ .

The probability that a green jelly bean is chosen at random from a large package of jelly beans is 2/5. This means that $p = 0.4$ .

If Sally chooses 13 jelly beans, what is the probability that at most two will be green jelly beans?

This is

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$ .

In which

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

$P(X = 0) = C_{13,0}.(0.4)^{0}.(0.6)^{13} = 0.0013$

$P(X = 1) = C_{13,1}.(0.4)^{1}.(0.6)^{12} = 0.0113$

$P(X = 1) = C_{13,2}.(0.4)^{2}.(0.6)^{111} = 0.0453$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0013 + 0.0113 + 0.0453 = 0.0579$ .

There is a 5.79% probability that at most 2 jelly beans are chosen.

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3 years ago

Can someone answer #3 ~ and explain your work

Over [174]

The awnser is 1. 2/3

To find the ratio of the length of two different segments , just divide one by another:

BE ÷ DE
4 ÷ 6
4/6
or
2/3

Hope it helps

7 0

3 years ago

Which of the following are lengths of the sides of a 30°-60°-90° triangle? A. 5√3, 15., 10√3 units B. 3, 4, and 5 units C. √3, 3

zaharov [31]

Answer:

Step-by-step explanation:

law of sine

c/sin(C) = b/sin(B) = a/sin(A)

with the sides and corresponding angles being always opposite.

sin(90) = 1

sin(30) = 0.5

c, the Hypotenuse, is the longest side in such a right-angled triangle.

c/1 = b/0.5

b = c×0.5 = c/2

so, one side has to be half the length of the longest side (Hypotenuse).

the only answer meeting that criteria is A.

the longest side is 10×sqrt(3) = 17.32...

the side half of that is 5×sqrt(3).

and Pythagoras for such a triangle is then

c² = (c/2)² + a²

c² = c²/4 + a²

so, a² = 3c²/4

c² = c²/4 + 3c²/4

therefore we can check also the third side

15² = 3×(5×sqrt(3))² = 3×25×3 = 3×75 = 225 = 15²

correct.

A is such a triangle.

5 0

2 years ago

Solve 3(x-5)-4(x+3)=​

Solve 3(x-5)-4(x+3)=