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2 years ago

Estimate the volume of a soccer ball that has a diameter of 8 inches

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

7 0

Answer:

269 in³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

Here the ball (sphere) diameter is 8 in, meaning that the radius is 4 in.

Thus, the volume of this ball is:

V = (4/3)π(4 in)³

If an "estimate" is good enough, use 3.14 for π:

V = (4/3)(3.14)(4 in)³ = 269 in³

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What decimal is less than 0.5

stira [4]

0.01 is less than 0.5

5 0

3 years ago

Read 2 more answers

There are 75 people waiting in line for concert tickets. Only 40% actually get tickets. How many got tickets?

solong [7]

75 * 0.4 = 30 people

3 0

2 years ago

You have 30 feet of wire fencing that you want to use to make a rectangular pen for chickens. Let l be the length of the pen. wh

Olin [163]

Answer:

The area would be '15l - l²

Step-by-step explanation:

Given,

By 30 feet of wire fencing we need to make a rectangular shape,

Thus, perimeter of such rectangle = 30 feet,

We know that,

Perimeter of a rectangle = 2( length + width)

if length = l feet,

⇒ 2(l + width) = 30

⇒ 2l + 2 × width = 30

⇒ 2 × width = 30 - 2l

⇒ width = $\frac{30-2l}{2}$ = (15-l) feet,

Now, area of the rectangle,

A = length × width

= l × (15-l)

= 15l - l²

Which is the required polynomial expression.

Note :

Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.

4 0

2 years ago

Classify the following random variables as discrete or continuous:X: the number of automobile accidents per year in Virginia. Y

Elena-2011 [213]

Answer:

X: discrete

Y: continuous

M: continuous

N: discrete

P: discrete

Q: continuous

Step-by-step explanation:

First, we have to know the difference between discrete and continuous variables:

Discrete variables are those that represent things that are counted, 3 red cars, 2 chickens, etc.. They take positive integer values, {0, 1, 2, ..., n}, being [0, n] the interval from which the variable takes values, that means, there is a finite number of possible values.
Continuous variables are those that represent things that are measured, 3.56 km of railway laid, 5.77 l of paint used. They take positive real values, that means that in the interval used for the variable there are infinite possible values.

Now, we classify each variable:

The number of automobile accidents per year in Virginia (X) is a discrete variable, as there can't be half an accident, one counts how many accidents are per year to know X.
The length of time to play 18 holes of golf (Y) is a continuous variable, as it can take 2 hours, or 2.5 hours, or 2 hours, 30 minutes, 2 seconds, one measures how long it took to play 18 holes to know Y.
The amount of milk produced yearly by a particular cow (M) is a continuous variable, as one measures how much milk was produced to know M.
The number of eggs laid each month by a hen (N) is a discrete variable, as one counts how much eggs were laid to know N.
The number of building permits issued each month in a certain city (P) is a discrete variable, as one counts how many permits were issued to know P.
The weight of grain produced per acre (Q) is a continuous variable, as one measures the weight per acre to know Q.

3 0

3 years ago

Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries.

nadya68 [22]

Answer:

29%.

Step-by-step explanation:

We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.

First of all, we will find the weight of tomatoes and raspberries using the given information.

Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

$\frac{80}{100}\times 140=0.80\times 140=112$