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erastovalidia [21]
2 years ago
12

What’s the length of the hypotenuse?

Mathematics
1 answer:
denis23 [38]2 years ago
7 0

a² + b² = c²

9² + 12² = c²

81 + 144 = c²

225 = c²

15² = c²

15 = c

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In a group of 60 students, 14 students take Algebra 1,20 students take Algebra
melomori [17]

Answer

First we add all of the students that take either algebra 1, algebra 2 or both: 14+20+7= 41 which means out of 60 students 41 take either algebra 1, algebra 2 or both to find the rest of the students we subtract 41 from 6060-41= 19 answer: 19 students  don't take either subject

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3 years ago
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I spent 20 minutes on the treadmill at
suter [353]
If 20 minutes was 25% of your entire workout, your total workout time would be 80 minutes. 25% is one quarter therefore multiply 20 times 4 which equals 80.
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3 years ago
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The Center for Medicare and Medical Services reported that there were 295,000 appeals for hospitalization and other Part A Medic
Ymorist [56]

Answer:

(a) 0.00605

(b) 0.0403

(c) 0.9536

(d) 0.98809

Step-by-step explanation:

We are given that 40% of first-round appeals were successful (The Wall Street Journal, October 22, 2012) and suppose ten first-round appeals have just been received by a Medicare appeals office.

This situation can be represented through Binomial distribution as;

P(X=r)= \binom{n}{r}p^{r}(1-p)^{n-r} ; x = 0,1,2,3,....

where,  n = number of trials (samples) taken = 10

            r = number of success

            p = probability of success which in our question is % of first-round

                   appeals that were successful, i.e.; 40%

So, here X ~ Binom(n=10,p=0.40)

(a) Probability that none of the appeals will be successful = P(X = 0)

     P(X = 0) = \binom{10}{0}0.40^{0}(1-0.40)^{10-0}

                   = 1*0.6^{10} = 0.00605

(b) Probability that exactly one of the appeals will be successful = P(X = 1)

     P(X = 1) = \binom{10}{1}0.40^{1}(1-0.40)^{10-1}

                  = 10*0.4^{1} *0.6^{10-1} = 0.0403

(c) Probability that at least two of the appeals will be successful = P(X>=2)

    P(X >= 2) = 1 - P(X = 0) - P(X = 1)

                     = 1 - \binom{10}{0}0.40^{0}(1-0.40)^{10-0} - \binom{10}{1}0.40^{1}(1-0.40)^{10-1}

                     = 1 - 0.00605 - 0.0403 = 0.9536

(d) Probability that more than half of the appeals will be successful =             P(X > 0.5)

  For this probability we will convert our distribution into normal such that;

   X ~ N(\mu = n*p=4,\sigma^{2}= n*p*q = 2.4)

  and standard normal z has distribution as;

      Z = \frac{X-\mu}{\sigma} ~ N(0,1)

  P(X > 0.5) = P( \frac{X-\mu}{\sigma} > \frac{0.5-4}{\sqrt{2.4} } ) = P(Z > -2.26) = P(Z < 2.26) = 0.98809

3 0
3 years ago
Is the answer A,B,C or D.
algol13

Answer:

B= -3

Step-by-step explanation:

Thats when the graph is at it's lowest

8 0
3 years ago
A right triangle has side lengths 7,24, and 25 as shown below.
Aleksandr [31]
CosB= 7/25
tanB= 24/7
sinB= 24/25
6 0
3 years ago
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