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3 years ago

Pythagorean theorem

Mathematics

1 answer:

Talja [164]3 years ago

5 0

Answer:

b=20 yards

Step-by-step explanation:

15^2+x^2=25^2

225+x^2=625

x^2=400

x=20

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A multiple-choice examination has 20 questions, each with five possible answers, only one of which is correct. Suppose that one

kari74 [83]

Answer:

The probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

Step-by-step explanation:

Let the random variable X represent the number of correctly answered questions.

It is provided all the questions have five options with only one correct option.

Then the probability of selecting the correct option is,

$P(X)=p=\frac{1}{5}=0.20$

There are n = 20 question in the exam.

It is also provided that a student taking the examination answers each of the questions with an independent random guess.

Then the random variable can be modeled by the Binomial distribution with parameters n = 20 and p = 0.20.

The probability mass function of X is:

$P(X=x)={20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x};\ x =0,1,2,3...$

Compute the probability that the student answers at least seventeen questions correctly as follows:

$P(X\geq 17)=P (X=17)+P (X=18)+P (X=19)+P (X=20)$

$=\sum\limits^{20}_{x=17}{{20\choose x}\ 0.20^{x}\ (1-0.20)^{20-x}}\\\\=0.00000000077+0.000000000032+0.00000000000084+0.000000000000042\\\\=0.000000000802882\\\\=8.03\times10^{-10}$

Thus, the probability that the student answers at least seventeen questions correctly is $8.03\times 10^{-10}$ .

4 0

4 years ago

1. A rectangular rug has a length of 3 ft and width of 1 ft. A similar rug has a length of 9 ft. What is the width of the simila

Katarina [22]

Answer:

The width of the similar rug is 3 ft

Step-by-step explanation:

Calculate the percentage between the lengths:

3/9 = 1/3 (percentage)

The percentage is fixed for the widths as well which means 1/x = 1/3

x=3

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3 years ago

Which is true about the polynomial –8m3 + 11m? It is a binomial with a degree of 2. It is a binomial with a degree of 3. It is a

gavmur [86]

Answer:

It is a binomial with a degree of 3.

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3 years ago

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Multiplying and simplify fractions 5/6 ×9/10

kolbaska11 [484]

5 x 9 =45
6 x 10=60

45/60 simplify by dividing in 15

3/4

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3 years ago

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Unit rate word problem Sidney used 9 centimeters of tape to wrap 3 presents.How many present did Sidney wrap if she used 18 cent

Likurg_2 [28]

Answer:

Step-by-step explanation:

18/9 = 2

2 * 3 = 6 presents

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3 years ago