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3 years ago

Someone help me please !

Mathematics

1 answer:

mash [69]3 years ago

5 0

Answer:

base = √3/2

cos 30 = √3/2

height = 1/2

sin 30 = 1/2

coordinates: √3/2, 1/2

Step-by-step explanation:

See unit circle for reference

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Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.)State the random variab

WITCHER [35]

Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

P(X=x) = 3/4 * (1/[(3-x)!*x!)])

P(X)=1/8 for x=0 and x=3 and P(X)=3/8 for x=1 and x=2

Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

n= number of times the coin is flipped = 3

p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)]) , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is 1/8 + 3/8+ 3/8+ 1/8 = 1

8 0

3 years ago

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A savings account earns 7.2 (APR) compounded monthly, so it earns 0.6% each month. Cooper has $1500 in the account now. if he de

iragen [17]

Answer-

Cooper will receive $12.00 at the end of the month.

Solution-

Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.

So the total principal becomes 1500+500 = $2000

Given here,

APR = annual percentage rate = 7.2%

But as we have to calculate the monthly interest, so monthly interest rate would be $=\dfrac{7.2}{12}=0.6\%$

Time period = 1 month

So, the interest after 1 month will be,

$\text{interest}=\dfrac{\text{Principal}\times \text{Rate of interest}\times \text{Time period}}{100}$

$=\dfrac{2000\times 0.6\times 1}{100}$

$=\$12.00$

Therefore, Cooper will receive $12.00 at the end of the month.

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almond37 [142]

Answer:

Step-by-step explanation:

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Brainliest pls

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mafiozo [28]

Answer:

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Step-by-step explanation:

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Answer:

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