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Natalka [10]
2 years ago
9

A baseball has a 45 cm diameter. what is the volume of the contents of the ball

Mathematics
1 answer:
Dvinal [7]2 years ago
3 0
The volume of a sphere is found from the equation V=4/3πr
r is the radius.
If the radius is 45 cm and pi is about 3.14, you can rewrite and equation as V=4/3(3.14)(45)
Then just solve by multiplying all the terms!
4/3(3.14) = 4.19
4.19(45) = 188.55
So the volume of the ball is 188.55 cm cubed.
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Which of the following are exterior angles? Check all that apply.
Marina86 [1]

Answer:

A

C

D

E

Step-by-step explanation:

Exterior angles can be described as the angles that are formed between the side of a polygon and the extended adjacent side of the polygon.

Or an exterior angle is the angle that is not inside the triangle formed.

The angles inside the triangle are interior angles.

Exterior angles are :

2

3

4

6

Interior angles are :

1

5

6 0
1 year ago
In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win
lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0
1 year ago
If the area of a park is exactly halfway between 2.4 and 2.5 acres, what is the area of the park
Ierofanga [76]
Answer:

2.45

Explanation:

Halfway of 2.4 and 2.5 is 2.45 because .05 is the halfway mark based on the place value.
6 0
2 years ago
A hair salon in Cambridge, Massachusetts, reports that on seven randomly selected weekdays, the number of customers who visited
morpeh [17]

Answer:

a: 28 < µ < 34

Step-by-step explanation:

We need the mean, var, and standard deviation for the data set.  See first attached photo for calculations for these...

We get a mean of 222/7 = 31.7143

and a sample standard deviation of: 4.3079

We can now construct our confidence interval.  See the second attached photo for the construction steps.

They want a 90% confidence interval.  Our sample size is 7, so since n < 30, we will use a t-score.  Look up the value under the 10% area in 2 tails column, and degree of freedom is 6 (degree of freedom is always 1 less than sample size for confidence intervals when n < 30)

The t-value is: 1.943

We rounded down to the nearest person in the interval because we don't want to over estimate.  It said 28.55, so more than 28 but not quite 29, so if we use 29 as the lower limit, we could over estimate.  It's better to use 28 and underestimate a little when considering customer flow.

5 0
2 years ago
a graduated cylinder is filled to 41.5 ml with water and a piece of granite is placed in the cylinder displacing the level to 47
mixas84 [53]
Because you went from 41.5 to 47.6 when the granite was placed in the graduated cylinder, using displacement:

47.6 - 41.5 = 6.1

I don't know about the cubic centimeters part, I don't know for sure if mL and cubic cm are the same, sorry. :(
8 0
1 year ago
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