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3 years ago

Write the quadratic equation whose roots are −6 and 3, and whose leading coefficient is 4.

Mathematics

1 answer:

Leya [2.2K]3 years ago

5 0

Answer:

y= 4(x+6)(x-3)

Step-by-step explanation:

same as before :)

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There is a ratio of 7 children to every to caretakers if there are a 189 total children then how many rare people are at the day

andriy [413]

189 x 7 = 1323 + 189 =

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3 years ago

The probability that an American CEO can transact business in a foreign language is .20. Ten American CEOs are chosen at random.

elena-14-01-66 [18.8K]

Answer:

(a) 0.1074

(b) 0.6342

Step-by-step explanation:

This problem can be modeled as a binomial probability with probability of success (transacting business in a foreign language) p =0.20, and n = 10 trials. The binomial probability model is:

$P(X=x) = \frac{n!}{(n-x)!x!}*p^x*(1-p)^{n-x}$

(a) None can transact business in a foreign language, P(X=0)

$P(X=0) = \frac{10!}{(10-0)!0!}*0.2^0*(1-0.2)^{10-0}\\P(X=0) = 0.8^{10} = 0.1074$

(b) At least two can transact business in a foreign language

$P(X\geq2) = 1-(P(X=0)+P(X=1))\\P(X\geq2) = 1-(0.1074+\frac{10!}{(10-1)!1!}*0.2^1*(1-0.2)^{10-1})\\P(X\geq2) = 1- (0.1074+10*0.2*0.8^{9}) = 0.6342$

(c) All 10 can transact business in a foreign language

$P(X=10) = \frac{10!}{(10-10)!10!}*0.2^{10}*(1-0.2)^{10-10}\\P(X=10) = 0.2^{10} = 1.024 * 10^{-7}$

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3 years ago

How do I solve (21/12)/(7/12) ?<br>Is the answer 3?

alukav5142 [94]

It is! When you're doing a fraction specifically like that, the denominators cancel out. Therefore you can get rid of the 12. It just becomes 21/7, which as you know is 3.

Hope that helps :)

5 0

3 years ago

Mrs. Cisneros earns $300 per week if she works exactly 40 hours. She earns $12 for each additional hour beyond 40 hours. Which i

lys-0071 [83]

Answer:

300+ 12h=450

12h=150

h=12.5

Step-by-step explanation:

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3 years ago

Rewrite 29/5 as a mixed number

marissa [1.9K]

Divide 29 by 5 you will end up having a remainder but you will end up with 5 4/5

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3 years ago

Read 2 more answers