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zvonat [6]
3 years ago
8

Plz help cant find the answer anywhere Kim's age is four times that of her sister. When you add Kim's age to her sister's age, y

ou get 60. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Mathematics
1 answer:
motikmotik3 years ago
6 0

Im pretty sure kims age is 15.

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Stolb23 [73]
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7 0
3 years ago
find the probability exactly 3 successes in 6 trials of a binomial experiment in which the probability of success if 50%. round
Dennis_Churaev [7]

Answer:

Hence, the probability of exactly 3 successes in 6 trials of a binomial experiment round to the nearest tenth of a percent is:

31.2%

Step-by-step explanation:

The probability of getting exactly k successes in n trials is given by the probability mass function:



{\displaystyle P(k;n,p)=P(X=k)={\binom {n}{k}}p^{k}(1-p)^{n-k}}

Where p denotes the probability of success.

We are given that  the probability of success if 50%.

i.e. p=\dfrac{1}{2}

also form the question we have:

k=3 and n=6.

Hence the probability of exactly 3 successes in 6 trials is:


{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(1-\dfrac{1}{2})^{6-3}}


{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{3}(\dfrac{1}{2})^{3}}

{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)={\binom {6}{3}}(\dfrac{1}{2})^{6}

\binom {6}{3}=20

Hence,

{\displaystyle P(3;6,\dfrac{1}{2})=P(X=3)=20\times (\dfrac{1}{2})^6=\dfrac{5}{16}

In percentage the probability will be:

\dfrac{5}{16}\times 100=31.25\%=31.2\%



8 0
4 years ago
Between which two whole numbers is 91
antiseptic1488 [7]

90 and 92.

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7 0
4 years ago
Can some one help me with math
hoa [83]
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I do not have an answer for 7
8 is 3.7 (or C)
9 is an easy one. Find out what the L and W is, and since it's a square we only need to find one of them. We square root the area and we are given 14.96662955, if rounded we get 15. So the answer is A
10 I don't understand the "estimate" for a square root number, I was not taught that.
6 0
3 years ago
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Solve the system.<br> 4x+y=2<br> x-y=3
Anettt [7]

Answer:

<h2>x = 1, y = -2 → (1, -2)</h2>

Step-by-step explanation:

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6 0
3 years ago
Read 2 more answers
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