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zheka24 [161]
2 years ago
10

A rocket travels at a rate of 160 meters in 3 seconds. What is the speed of the rocket in meters per second? Plz Help!! A.60 m/s

ec B.53 1/3 m/sec C.65 1/4 m/sec D.480 m/sec
Mathematics
1 answer:
jekas [21]2 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

do 160/3

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Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers
Alenkinab [10]

Given:

\sigma_A=3

n_A=6

\sigma_B=5

n_B=4

\overline{x}_A=\overline{x}_B

To find:

The variance. of combined set.

Solution:

Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

54=\sum (x_i-\overline{x}_A)^2

Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}

100=\sum (x_i-\overline{x}_B)^2

Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

\sigma^2=\dfrac{54+100}{6+4}

\sigma^2=\dfrac{154}{10}

\sigma^2=15.4

Therefore, the variance of combined set is 15.4.

7 0
2 years ago
What is the factored form of this expression? 27m^3 +125n^3
ddd [48]

Answer:

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

Step-by-step explanation:

27m^3+125n^3=\left(3m\right)^3+\left(5n\right)^3

Apply sum of cubes formula: x^3+y^3=\left(x+y\right)\left(x^2-xy+y^2\right)

\left(3m\right)^3+\left(5n\right)^3=\left(3m+5n\right)\left(3^2m^2-3m\times 5n+5^2n^2\right)

\left(3m+5n\right)\left(9m^2-15mn+25n^2\right)

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2 years ago
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Simora [160]

Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

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Each small cube is 1 ft³. The length of the large cube is 15 ft. What is the volume of the large cube?
Dmitriy789 [7]
The answer your question is A
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