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3 years ago

The volume of a cylinder is 144π in^3 and the radius is 4 in what is the hight

Mathematics

2 answers:

sp2606 [1]3 years ago

7 0

The height of the cylinder is 2.86

Dennis_Churaev [7]3 years ago

5 0

Volume of a cylinder is the area of the base ( $\pi r^2$ ) multiplied by the height. If the radius is 4, that means that the base is 16 in2. To get the height, we simply need to divide 144 by 16 which gets us 9. The height is 9 inches

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Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u

Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

$z=\frac{x-\mu}{\sigma}$

Plug in the values and solve for 'z'. This gives,

$z=\frac{2.33-1.75}{0.22}=2.64$

So, the z-score of the distribution is 2.64.

Now, we need the probability $P(x\geq 2.33 )=P(z\geq 2.64)$ .

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

$P(z\geq 2.64)=1-0.9959=0.0041=0.41\%$

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0

3 years ago

A system of inequalities is graphed on the coordinate grid. Which symbol could be written in both circles in order to represent

Vlad1618 [11]

Its the third answer

8 0

2 years ago

Read 2 more answers

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

$y=100(2)^{2x}$

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t and find out the number of bacteria y

$y=100(2)^{2 \cdot 4}\\y=25600$

25600 bacteria

$y=100(2)^{2t}$

convert 40 seconds into hour

40 divide by 60 =2/3

$y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252$

The graph is attached below

4 0

2 years ago

WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...

enot [183]

Answer:

-450

Step-by-step explanation:

Say the first number is x to get the idea.

The first 150 terms are 150x - 5 * 150

15x - 750

300 - 750 = -450

7 0

3 years ago

What is the difference between the following two regression equations? ModifyingAbove y with caret equals b 0 plus b 1 xy=b0+b1

Leona [35]

Answer:

A. The first equation is for sample data; the second equation is for a population.

Step-by-step explanation:

The first equation is y = $b_0 + b_1x$ , this is the equation for sample data as the intercept ( $b_0$ ) and the slope parameter( $b_1$ ) both are calculated then we have got this and these values are not taken as given.

The Second equation is $y = \beta _0 +\beta _1x$ , this is the equation for population data as we can't calculate these $\beta _0$ and $\beta _1$ as we take these values as given and also we do testing for $\beta$ parameter using t test and it is sure that testing is always done on population data not on sample data.

5 0

3 years ago