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2 years ago

Three tennis balls are stored in a cylindrical can with

Mathematics

1 answer:

adoni [48]2 years ago

3 0

Answer:

87.9 in³

Step-by-step explanation:

Volume of the can

V = πr²h [volume of a cylinder]
V = 3.14 x 2 x 2 x 8
V = 3.14 x 32
V = 100.48 in³

Volume of 3 tennis balls

V = 4/3πr³ [volume of one sphere]
V = 3 x 4/3 x 3.14 x 1³ [for 3 tennis balls]
V = 4 x 3.14
V = 12.56 in³

Remaining space

Volume of can - Volume occupied by 3 tennis balls
100.48 - 12.56
87.92 in³ ⇒ 87.9 in³

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How many sides does a regular polygon have if each exterior angle measures 20?

Masteriza [31]

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides

7 0

3 years ago

Select the correct answer. Which expression has a greatest common factor of 3h? A. 18h2 − 6h B. 3 − 9h C. 6h2 − 2h D. 12h + 21h2

horsena [70]

Answer: D. 12h + 21h2

Step-by-step explanation: The answer is D,

because when you devide 12h/3h = 4

and for the other value 21h2/3h=7h

4 + 7h

if you perform the same operation with the rest of answers you will get a minor values if you compare with this results, because of that the answer with the greatest common factor is D.

6 0

3 years ago

Read 2 more answers

How do I calculate the shaded area of this shape ?

TEA [102]

SOLUTION:

We are to calculate the shaded area of the given shape.

CONCEPT:

This is a triangle that a rectangle was cut out from.

To calculate the shaded area of the given shape, we are to find the area of the triangle and then subtract the area of the recangle that was cut out.

$\begin{gathered} \text{Area of Triangle:} \\ A\text{ = }\frac{1}{2}\text{ base }\times\text{ height} \\ \\ A\text{ = }\frac{1}{2}\text{ }\times\text{ 6m }\times7m\text{ } \\ \\ A=21m^2 \end{gathered}$ $\begin{gathered} \text{Area of Rectangle:} \\ A=L\text{ }\times\text{ W } \\ A\text{ = 4m }\times\text{ 2m} \\ A=8m^2 \end{gathered}$

The shaded area = Area of the triangle - Area of the rectangle

$\begin{gathered} \text{Shaded area = 21 m}^2-8m^2 \\ \text{Shaded area = 13 m}^2 \end{gathered}$

3 0

1 year ago

a 4-meter ladder leans up a wall the foot of the ladder is 2 meters away from the wall how far up the wall will the ladder reach

svlad2 [7]

The answer is 3.46 meters

You can get the answer by using the pythagorean theorem, since the ladder and the wall form a right triangle.

c^2 = a^2 + b^2
4^2 = 2^2 + b^2
16 = 4 + b^2
12 = b^2
b = sqrt(12) or 3.46 meters

7 0

3 years ago

the null hypothesis, h0, is: no more than 90% of homes in the city are up to the current electric codes. and the alternative hyp

Ugo [173]

"β", the probability of a type II error here in this question is, the electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes.

As per the question statement, the null hypothesis, $H_{o}$ , is that, no more than 90% of homes in the city are up to the current electric codes, while an alternative hypothesis, $H_{a}$ , is by an electrician claiming more than 90% of homes in the city are up to the current electric codes.

We are required to find out "β" which is the probability of a type II error.

β = Probability of accepting $H_{o}$ when it is incorrect.

The probability of a Type II error occurs in the situation where, the null hypothesis $H_{o}$ of "more than 90% of homes in the city are up to the current electric codes" is accepted even though the alternative hypothesis that the electrician claims about "more than 90% of homes in the city being up to the current electric codes" is true. More clearly, the alternative hypothesis that the electrician claims about more than 90% of homes in the city being up to the current electric codes is in fact, rejected when it is correct.

Hence the correct answer :

The probability of Type II error is (β) is that, "The electrician cannot conclude that more than 90% of homes in the city are up to the current electric codes when, in fact, more than 90% of homes are up to the current electric codes".

Probability: In Mathematics, Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
Null & Alternative Hypothesis: A null hypothesis is a type of statistical hypothesis that proposes that no statistical significance exists in a set of given observations while, an alternative hypothesis states about our research prediction of an effect or relationship.

To learn more about Null & Alternative Hypothesis, click on the link below.

brainly.com/question/16945299

#SPJ4

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2 years ago