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Marta_Voda [28]

2 years ago

8

pls HELP!! Jameson is taking a multiple-choice test and he doesn't know an answer. He can answer A, B, C, D or E. What is the pr

obability that he will guess correctly? Give your answer as a percent.

1 answer:

Effectus [21]2 years ago

5 0

He has 5 choices each=20%

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Please help!!!!!!!!!!!!!!!!!!!!!!

Diano4ka-milaya [45]

The right answer is B.

5 0

2 years ago

The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris

Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume = 80 tan 36° × 16 = 1280 tan 36° = 1280 × 0.726542528

volume = 929.974435847 cm³

volume ≈ 930 cm³ (nearest cubic cm)

5 0

3 years ago

What is the mode of the data set?

Alex17521 [72]

1. the mode is 100 because 100 is the most common number in that sequence

2. the mean is 193.8 because if you add up 108, 306, 252, 113, and 191 then divide that by 5 you get 193.8

5 0

3 years ago

Read 2 more answers

How do you do 3 through 4

Furkat [3]

#3 is not a function because there are two answers for one out put

#4 is a function because it is a straight line

8 0

3 years ago

Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zac

Solnce55 [7]

Answer:

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

Step-by-step explanation:

Given : Zach and Warren both leave the coffee shop at the same time, but in opposite directions. If Warren travels 7 mph faster than Zach and after 7 hours they are 161 miles apart.

To find : How fast is each traveling?

Solution :

Let the speed of Zach is x mile per hour.

If Warren travels 7 mph faster than Zach

The speed of the Warren is x+7 miles per hour.

Zach and Warren both leave the coffee shop at the same time, but in opposite directions.

The distance covered is 161 miles in 7 hours.

We know, $\text{Distnace}=\text{Speed}\times \text{Time}$

Substitute,

$161=(x+x+7)\times7$

$\frac{161}{7}=2x+7$

$23=2x+7$

$2x=23-7$

$2x=16$

$x=8$

The speed of Warren is 8+7=15

The speed of the Zach travelling is 8 miles per hour.

The speed of the Warren travelling is 15 miles per hour.

6 0

3 years ago

Read 2 more answers