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10 months ago

What is the ratio for the volumes of two similar cylinders, given that the ratio of their heights and radii is 2:3?

Mathematics

1 answer:

sdas [7]10 months ago

7 0

It's important to know that volumes are three-dimensional magnitudes, which means they are cubic powers. In this case, we just have to elevate the given ratio to the third power.

$(\frac{2}{3})^3=\frac{8}{27}$ <h2>Hence, the answer is A.</h2>

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CALCULUS: For the function whose values are given in the table below, the integral from 0 to 6 of f(x)dx is approximated by a Re

ladessa [460]

The table gives values of f(x) at various x in the interval [0, 6], and you have to use them to approximate the definite integral,

∫₀⁶ f(x) dx

with a left-endpoint sum using 3 intervals of width 2. This means you have to

• split up [0, 6] into 3 subintervals of equal length, namely [0, 2], [2, 4], and [4, 6]

• take the left endpoints of these intervals and the values of f(x) these endpoints, so x ∈ {0, 2, 4} and f(x) ∈ {0, 0.48, 0.84}

• approximate the area under f(x) on [0, 6] with the sum of the areas of rectangles with dimensions 2 × f(x) (that is, width = 2 and height = f(x) for each rectangle)

So the Riemann sum is

∫₀⁶ f(x) dx ≈ 2 ∑ f(x)

for x ∈ {0, 2, 4}, which is about

∫₀⁶ f(x) dx ≈ 2 (0 + 0.48 + 0.84) = 2.64

making the answer A.

7 0

2 years ago

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.10

Salsk061 [2.6K]

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

$\int\limits^{\infty}_{-\infty} {f(x)} \, dx$ = 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = $(0.1039)^2$

Variance = 0.0108

Hence, the value of variance is 0.0108.

To learn more about normally distribution link is here

brainly.com/question/15103234

#SPJ1

3 0

9 months ago

What integer is equivalent to 25 3/2

bonufazy [111]

26.5 the way it is written but it could be asking for multiplication?

4 0

3 years ago

I need this answer ASAP

oksian1 [2.3K]

the answer that I came up with is (c)

4 0

2 years ago

Read 2 more answers

If Jake buys 3 new shirts, how many of them would you expect to be t-shirts, and how many would you expect to be collared?

Sophie [7]

Answer:

2 t-shirts ; 1 collar shirt

Step-by-step explanation:

We need to first obtain the ratio of T - shirts to collar shirts :

T - shirts = 10

Collar shirts = 5

Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1

Hence, using the ratio obtained ; if Jake buys 3 new shirts :

Number of T-shirts :

(Ratio of t-shirts / total ratio) * new t-shirts

2/3 * 3 = 2 t-shirts

Collar shirts :

1/3 * 3 = 1

2 t-shirts ; 1 collar shirt

4 0

2 years ago