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I am Lyosha [343]
3 years ago
10

Nils is 6 feet tall and he casts a 24 foot shadow. He sees the shadow of a tree next to him and measures it to find the shadow i

s 90 feet long. How tall is the tree?
Mathematics
1 answer:
denis-greek [22]3 years ago
4 0

Answer:

360

Step-by-step explanation:

24 divided by 6 = 4 which means each foot = 4 foot shadow

90 x 4 =360

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5 0
3 years ago
25% of all who enters a race do not complete. 30 haveentered.
nikklg [1K]

Answer:

The probability that exactly 5 are unable to complete the  race is 0.1047

Step-by-step explanation:

We are given that 25% of all who enters a race do not complete.

30 have entered.

what is the probability that exactly 5 are unable to complete the  race?

So, We will use binomial

Formula : P(X=r) =^nC_r p^r q^{n-r}

p is the probability of success i.e. 25% = 0.25

q is the probability of failure =  1- p  = 1-0.25 = 0.75

We are supposed to find the probability that exactly 5 are unable to complete the  race

n = 30

r = 5

P(X=5) =^{30}C_5 (0.25)^5 (0.75)^{30-5}

P(X=5) =\frac{30!}{5!(30-5)!} \times(0.25)^5 (0.75)^{30-5}

P(X=5) =0.1047

Hence the probability that exactly 5 are unable to complete the  race is 0.1047

6 0
3 years ago
What is the value of x?
Mumz [18]

Answer:

68 Degrees

Step-by-step explanation:

A triangle is 180 degrees. So,

Add 75 + 37 = 112

Subtract 112 from 180 = 68

4 0
3 years ago
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