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3 years ago

6(a + 2b +3c) = Apply the distributive property to create an equivalent expression.

Mathematics

1 answer:

Feliz [49]3 years ago

8 0

Answer:

6(a + 2b +3c) =

6a +12b+18c

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A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year

alexdok [17]

Answer: 0.009

Step-by-step explanation:

Formula we use here : Binomial distribution formula

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

Given : A study conducted at a certain college shows that 65% of the school's graduates find a job in their chosen field within a year after graduation.

i.e. p= 0.65

Sample size : n= 11

Now, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating:-

$P(X)=^{11}C_{11}(0.65)^{11}(1-0.65)^{11-11}\\\\=(1)(0.65)^{11}(1)\\\\=0.00875078317401\approx0.009$

Hence, the probability that 11 randomly selected graduates all find jobs in their chosen field within a year of graduating = 0.009

8 0

3 years ago

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”

fgiga [73]

Answer:He is wearing a coat and the temperature is below 30°F.

Step-by-step explanation:

8 0

3 years ago

Find the equation of the circle which passes through points <br>(3,-1), (3,9) and (-2,4)<br>

mash [69]

Y=-x+2

OR if you are looking for point slope:

y+1=-1(x-3)

6 0

2 years ago

Need help with number 3 inequalities with variables on both sides

Volgvan

Answer:

x ≤ 2

Step-by-step explanation:

We are given the inequality:

$\displaystyle{2x-3 \leq \dfrac{x}{2}}$

First, get rid of the denominator by multiplying both sides by 2:

$\displaystyle{2x\cdot 2-3\cdot 2 \leq \dfrac{x}{2}\cdot 2}\\\\\displaystyle{4x-6 \leq x}$

Add both sides by 6 then subtract both sides by x:

$\displaystyle{4x-6+6 \leq x+6}\\\\\displaystyle{4x \leq x+6}\\\\\displaystyle{4x-x \leq x+6-x}\\\\\displaystyle{4x-x \leq 6}\\\\\displaystyle{3x \leq 6}$

Then divide both sides by 3:

$\displaystyle{\dfrac{3x}{3} \leq \dfrac{6}{3}}\\\\\displaystyle{x \leq 2}$

Therefore, the answer is x ≤ 2

5 0

2 years ago

Read 2 more answers

If a=2, b-3 and c=5. Thr value of 4a-2b+5c are

inn [45]

(4*2)-(2*-3)+(5*5)= 8-6+25= 27

4 0

3 years ago