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denis23 [38]
3 years ago
14

a cylindrical vase has a diameter of 6 inches at the bottom of the vase there are 9 marbles each of diameter 3 inches the vase i

os filled with water up to a height of 12 inches which of the following could be used to calculate the colume of water in the vase
Mathematics
1 answer:
KiRa [710]3 years ago
3 0

Answer:

<h2>The volume of water in the vase is 339.33 in^3</h2>

Step-by-step explanation:

To calculate the volume of water in the vase we need the following parameters

1. the diameter/radius of the vase

2. the height /level of water in the vase

Given data

diameter d= 6 in

radius = d/2= 6/2 = 3 in

height of water h= 12 in

we know that the expression for the volume of a cylinder is given as

volume=  \pi r^2h

Inserting our data we have

volume= 3.142*3^2*12\\\volume= 3.142*9*12\\\volume= 339.33 in^3

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The phrase “twice the difference of a number 5” can be written as which variable?
svlad2 [7]

Let

x-------> the number

we know that

1) The phrase “the difference of a number and  5” can be written as

(x-5)

2) The phrase “twice the difference of a number and  5” can be written as

2*(x-5)

therefore

<u>the answer is the option</u>

1. 2(x-5)

5 0
3 years ago
Please help because no one been answering my questions
never [62]

Answer:

BC = 8 \sqrt{2}

Step-by-step explanation:

\sin(45)  =  \frac{opposite}{hypotenuse}

\sin(45)  =  \frac{8}{BC}

(BC) \sin(45)  =  \frac{8}{x} (BC)

(BC) \sin(45)  = 8

\frac{(BC) \sin(45) }{ \sin(45) }  =  \frac{8}{ \sin(45) }

BC =  \frac{8}{ \sin(45) }

BC = 8 \sqrt{2}

5 0
3 years ago
In a random sample of 70 people, it was found that 44 of them were fans of the New York Yankees. What is the margin of error for
Veronika [31]
The general formula for the margin of error would be:

z * √[p (1-p) ÷ n]

where:
z = values for selected confidence level
p = sample proportion
n = sample size

Since the confidence level is not given, we can only solve for the 
<span>√[p (1-p) ÷ n]  part.
</span>
p = 44/70
n = 70

√[44/70 (1 - (44/70) ÷ 70]

√[0.6286 (0.3714)] ÷ 70

√0.2335 ÷ 70

√0.0033357 = 0.05775 or 0.058 Choice B.



7 0
4 years ago
The useful life of a radial tire is normally distributed with a mean of 30,000 miles and a standard deviation of 5000 miles. The
otez555 [7]

Answer:

  empirical rule: 81.5%

  table or calculator: 81.9%

Step-by-step explanation:

The lower limit of the life range of interest has a z-score of ...

  z = (x -μ)/σ = (20,000 -30,000)/5,000 = -2

The upper limit has a z-score of ...

  z = (35,000 -30,000)/5,000 = 1

<u>Empirical rule solution</u>

The empirical rule tells you that 95% of the distribution lies within 2 standard deviations of the mean, so (100% -95%)/2 = 2.5% lie below z = -2. It also tells you 68% lie within 1 standard deviation of the mean, so (100% -68%)/2 = 16% lie above z = 1.

The fraction that lies within -2 to 1 standard deviations of the means is thus ...

  (100% -2.5% -16%) = 81.5%

The probability the tire has a life in the desired range is about 81.5%.

__

<u>Calculator solution</u>

A probability calculator for the Normal distribution tells you that ...

  P(-2 < z < 1) ≈ 0.8185946

The probability the tire has a life in the desired range is about 81.9%.

6 0
3 years ago
Write and solve an equation for each problem. Show ALL solution steps.<br> (Needs to be done soooon)
Ray Of Light [21]

Answer:

5.Area=1/2×b×h

Area=1/2×18×7

Area=63feet²

6.A=1/2(b1+b2)h

60=1/2(8+12)h

120=20h

h=6m

7.V=lwh

w=V/lh

w=1890/10×14

w=1890/140

w=189/14

w=17/2

w=8.5m

8.d=rt

320miles=r×5hrs

r=320/5

r=64miles/h

9.

8 0
3 years ago
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