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Pavlova-9 [17]
3 years ago
5

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 8 marbles, each of diameter 3 inches. The va

se is filled with water up to a height of 10 inches. Which of the following could be used to calculate the volume of water in the vase? (6 points) π(10in)2(3in) − 1.5( four over three π(8in)3) π(3in)2(10in) − 1.5( four over three π(8in)3) π(10in)2(3in) − 8( four over three π(1.5in)3) π(3in)2(10in) − 8( four over three π(1.5in)3) I got the answer as the fourth one however im unsure if I am correct.
Mathematics
1 answer:
DIA [1.3K]3 years ago
5 0

Answer:

  π(3 in)²(10 in) -8(4/3)(1.5 in)³

Step-by-step explanation:

The volume of a cylinder with a radius of 3 inches and a height of 10 inches is ...

  V = πr²h = π(3 in)²(10 in)

The volume of 8 spheres with a radius of 1.5 inches is ...

  V = 8(4/3)πr³ = 8(4/3)π(1.5 in)³

The volume occupied by the water is the volume of the cylinder not occupied by the spheres. So, it is ...

  V = π(3 in)²(10 in) -8(4/3)(1.5 in)³ . . . . . . matches the 4th choice

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I’m really confused on this problem.
marysya [2.9K]
The area of the rectangle is 32 cm squared and the area of the triangle is 22 cm squared. When you add them together you get the area of the entire figure, which is 54 cm squared
Hope this helps!








8 0
3 years ago
A set of final examination grades in an introductory statistics course is normally​ distributed, with a mean of 77 and a standar
Shalnov [3]

Answer:

0.9007 is the probability that a student scored below 86 on this​ exam.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 77

Standard Deviation, σ = 7

We are given that the distribution of examination grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(student scored below 86)

P(x < 86)

P( x < 86) = P( z < \displaystyle\frac{86 - 77}{7}) = P(z < 1.2857)

Calculation the value from standard normal z table, we have,  

P(x < 1.2857) = 0.9007 = 90.07\%

0.9007 is the probability that a student scored below 86 on this​ exam.

7 0
3 years ago
Name a decimal in between 0.4 and 0.5?
Luba_88 [7]
I think that 0.45 would be one.
8 0
3 years ago
A new washing machine used 3 2/4 gallons of water per full load to clean cloths. If John washed 2 2/3 loads of clothes, how many
kumpel [21]
We know that
3 2/4  -------------> is (3*4+2)/4--------> 14/4-------> 7/2
2 2/3 --------------> is (2*3+2)/3--------> 8/3

if a new washing machine used 7/2 gallons of water ------------> one full load <span>cloths
</span> X gallons of water------------------------------------------------------> 8/3 of load cloths<span>
X=(8/3)*(7/2)---------> X=56/6------->28/3 gallons of water
28/3--------> 9 1/3 gallons of water

the answer is
 </span>9 1/3 gallons of water
7 0
3 years ago
-6(-4x + 3) = 2(10x + 3)
Naya [18.7K]

Answer:

x = -6/11

Step-by-step explanation:

-6(-4x + 3) = 2(10x + 3)

-6 * -4x = -24x

-6 * 3 = -18

2 * 10x = 20x

2 * 3 = 6

-24x - 18 = 20x + 6

-20x           -20x

-44x - 18 = 6

+18           +18

-44x = 24

-------   ------

 -44      -44

24/-44 = -24/44

-24/44 = -6/22

x = -6/11

8 0
3 years ago
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