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jeka57 [31]
3 years ago
13

Angelita and Cynthia like to play a video game against each other that is scored by round. The goal is to score as many points a

s possible in each round. Here are summary statistics how many points they each score per round:
Mean Standard deviation
Angelita \mu_A=900μ
A
​
=900mu, start subscript, A, end subscript, equals, 900 \sigma_A=96σ
A
​
=96sigma, start subscript, A, end subscript, equals, 96
Cynthia \mu_C=800μ
C
​
=800mu, start subscript, C, end subscript, equals, 800 \sigma_C=72σ
C
​
=72sigma, start subscript, C, end subscript, equals, 72
Both distributions are approximately normal. Suppose we choose a round at random and calculate the difference between their scores. We can assume that their scores each round are independent.
Find the probability that Angelita's score is higher than Cynthia's.
You may round your answer to two decimal places.
P\left(\text{Angelita higher}\right)\approxP(Angelita higher)≈
Mathematics
1 answer:
ladessa [460]3 years ago
8 0

Answer:

0.80

Step-by-step explanation:

Khan academy

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Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco
HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

For the considered case, we're given that:

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  • Unit of time: Annually
  • Rate of interest = 1.6% annually = R
  • Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4  \approx 5860.53 \: \rm (in \:  dollars)

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

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5 0
2 years ago
8..................................
ser-zykov [4K]

Answer:

The answer is 2x^{3}y^{-2}\sqrt{6}

Step-by-step explanation:

∵ √24 = 2√6

∵ \sqrt{x^{6}}=(x^{\frac{1}{2}})^{6}=x^{3}

∵ \sqrt{y^{-4}}=(y^{\frac{1}{2}})^{-4}=y^{-2}

∴ \sqrt{24x^{6}y^{-4}}=2x^{3}y^{-2}\sqrt{6}

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Answer:

Step-by-step explanation:

Yes this is a  polynomial.

Type - monomial

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Answer:

C

Step-by-step explanation:

For any of the functions described above, the only way any of those could be functions is that there has to be a difference value for each x, unless it is the same x-value. If the x is mentioned twice, that is fine, as long as the y point is also the same. If it is different, it is not a function.

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