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kati45 [8]
3 years ago
10

The height of a cone is twice the radius of its base.

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

The correct answer is option 1. \frac{2}{3} \pi x^3 cubic units.

Step-by-step explanation:

The formula for the volume, V of a right angled cone is given as:

V = \dfrac{1}{3} \pi r^{2} h ...... (1)

Where, \pi = 3.14

r is the radius of the circular base of the cone.

h is the height of the cone.

We are given that height is twice of the radius of its base.

Let the radius of base = x units

Now, As per the question statement,

The height of cone= 2 \times x units

Putting the values of r, h in equation (1) to find the volume:

\Rightarrow \dfrac{1}{3} \times \pi \times x^{2} \times 2x\\\Rightarrow \dfrac{2}{3}\pi x^{3}

Hence, the correct answer is option 1. \dfrac{2}{3}\pi x^{3} cubic units.

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Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

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Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

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The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

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The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
2 years ago
The amount Kenyon earns on the sale of a car can be represented by the equation E (p) = 250 +0.02p where E(p) represents the tot
kap26 [50]

Answer:

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2) The purchase of the car is $24,790.

Step-by-step explanation:

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15075*0.02= 301.5+ 250= 551.5

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2 years ago
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An equation for <br> (-6,-3) (6,5)
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6 0
3 years ago
Someone help me with these two. I'll give you brainliest and 25 points!! MATHEMATICIANS OUT THERE HELP
mixer [17]
Hello LovingAngel!

To find the slope, you can use the formulas \frac{rise}{run} as well as \frac{y^2-y^1}{x^2 - x^1}. I am using the latter to calculate and ensuring my answer with the former. 

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Checking work with \frac{rise}{run}
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2. Slope: -2/0, meaning rise (y) -2/drop (y) 2 and run 0. (3,1) -> (3 + 0, 1 + -2) -> (3,-1) <span>✔</span>

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Answer:

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