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3 years ago

Answer part A, B, and C. (28 points)

Mathematics

1 answer:

mart [117]3 years ago

3 0

Two sides are 8 x 2 = 16 x 2 = 32 sq. in.

Two sides are 11 x 2 = 22 x 2 = 44 sq. in.

Top is 8 x 11 = 88 sq. in.

Total surface area: 32 + 44 + 88 = 164 square inches.

B) Area of a circle = PI x r^2

Area = 63.585

63.585 = PI x r^2

Using 3.14 for PI:

63.585 = 3.14 x r^2

Divide both sides by 3.14:

r^2 = 63.585 / 3.14

r^2 = 20.25

r = √20.25

radius = 4.5 inches.

Diameter = radius x 2

Diameter = 4.5 x 2 = 9 inches.

You might be interested in

Will the difference between 44,041 and 43,876 be greater or less than, 1,000 explain

ololo11 [35]

Answer:

Less

Step-by-step explanation:

44,041 - 43,876 is 165 and that is less than 1,000.

4 0

3 years ago

Which value cannot represent the probability of an event occurring? StartFraction 1 over 100 EndFraction 0. 29 85% Three-half.

Serjik [45]

Every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

Given to us,

a.) $\dfrac{1}{100}$

b.) 0.29

c.) 85%

d.) $\dfrac{3}{2}$

The probability help us to know about the probability of specific events occurring.

For a sure event, the probability is always 1,

while for an event that will never happen the probability is always 0.

Thus, probability(p), $\bold{1 \geq p\geq 0}$ .

Now looking at the options,

a.) $\dfrac{1}{100}$ = 0.01

b.) 0.29

c.) 85% = 0.85

d.) $\dfrac{3}{2}$ = 1.5

Now comparing each option with $\bold{1 \geq p\geq 0}$ .

Therefore, the only option which is not feasible is option d that is 1.5.

Hence, every value{0.01, 0.29, 85%} can represent the probability of an event occurring except option d that is 1.5.

To know more visit:

brainly.com/question/795909

3 0

2 years ago

Read 2 more answers

At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those c

grandymaker [24]

Answer:

a.)

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b.)

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c.)

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

Step-by-step explanation:

We are given the following information

40% of the customers use regular gas (A2)

P(A₁) = 0.40

35% use plus gas (A2)

P(A₂) = 0.35

25% use premium (A3)

P(A₃) = 0.25

Of those customers using regular gas, only 20% fill their tanks (event B).

P(B | A₁) = 0.20

Of those customers using plus, 40% fill their tanks

P(B | A₂) = 0.40

Whereas of those using premium, 50% fill their tanks.

P(B | A₃) = 0.5

a) What is the probability that the next customer will request plus gas and fill their tank?

We are asked to find P(A₂ ∩ B) = ?

Recall that Multiplicative law of probability is given by

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b) What is the probability that the next customer fills the tank?

We are asked to find P(B) = ?

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P( A₂ ∩ B ) is already calculated, we need to calculate

P( A₁ ∩ B ) and P( A₃ ∩ B )

So,

P( A₁ ∩ B ) = P(B | A₁) × P(A₁)

P( A₁ ∩ B ) = 0.20 × 0.40

P( A₁ ∩ B ) = 0.08

P( A₃ ∩ B ) = P(B | A₃) × P(A₃)

P( A₃ ∩ B ) = 0.50 × 0.25

P( A₃ ∩ B ) = 0.125

Finally,

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c) If the next customer fills the tank, what is the probability that the regular gas is requested? Plus? Premium

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

5 0

4 years ago

Had to repost 4 times because no one's been able to do it.

e-lub [12.9K]

Answer:

I think A

Step-by-step explanation:

I am not quite sure what this is asking, but based off of what I can tell it should be A.

Hope this helps :)

7 0

3 years ago

Aliyah bought a car for $32,000. It is now worth $5000 less than half of what she purchased it for. To the nearest tenth of a pe

Reil [10]

32,000 x 0.5 = 16000

16000- 5000 = 11000

11000 / 32000= 0.34375

1- 0.344= 0.656

Answer : D

3 0

3 years ago