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kap26 [50]
3 years ago
10

What is the perimeter of a rectangle with width 10 inches and length 13 inches?

Mathematics
2 answers:
11111nata11111 [884]3 years ago
6 0
1. C. 46

2. B. 104.5

3. 706.5
VLD [36.1K]3 years ago
5 0

Answer:

1.C 46 inches,2.B.104.5 square inches,3.D.706.5 square inches

Step-by-step explanation:

Hello.

What is the perimeter of a rectangle with width 10 inches and length 13 inches?

to find the perimeter of the rectangle we must add all its sides (4 sides)

side 1 = side 2= width=10 inches

side 3 = side 4 =lenght=13 inches

Perimeter=10+10+13+13 =46 inches

Answer

1.C 46 inches

2. What is the area of a triangle with base 19 inches in height 11 inches?

the area of a triangle is given by

A=\frac{b*h}{2}

where b is the base and h is the height

using our data

A=\frac{19*11}{2} \\A=\frac{209}{2} \\Area=104.5 square inches

the area is

2.B.104.5 square inches

3. What is the area of a circle with a radius of 15 inches, to the nearest tenth? Use 3.14 for pie.

the area of a circle is given by

A=\pi \ r^{2}

where r is the radius of the circle

using our data

A=\pi \ r^{2}\\A=3.14\ *\ 15^{2}\\A=706.5

the area is

3.D.706.5 square inches

Have a great day

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cross multiplying,

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3. Assume that the likelihood of a child under the age of ten watching PBS is 0.76. Three children are
natta225 [31]

Using the binomial distribution, the probabilities are given as follows:

a) 0.4159 = 41.59%.

b) 0.5610 = 56.10%.

c) 0.8549 = 85.49%.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

For this problem, the values of the parameters are:

n = 3, p = 0.76.

Item a:

The probability is P(X = 2), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{3,2}.(0.76)^{2}.(0.24)^{1} = 0.4159

Item b:

The probability is P(X < 3), hence:

P(X < 3) = 1 - P(X = 3)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.76)^{3}.(0.24)^{0} = 0.4390

Then:

P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.

Item c:

The probability is:

P(X \geq 2) = P(X = 2) + P(X = 3) = 0.4159 + 0.4390 = 0.8549

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
2 years ago
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