The sum of four times a number and seventeen 65. find the the number

Hernando ate StartFraction 2 Over 8 EndFraction of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told th

ozzi

Answer:

Yes, they are correct. Hernando divided 6 by 6.

Step-by-step explanation:

Given that:

Hernando ate 2/8 of a pizza for dinner.

Let the pizza be x. Then:

Hernando ate $\dfrac{2}{8} \ \ o f \ \ x$

Then he gave the rest of the pizza to his friends

Hernando now carried out the following calculations to support his activities;

$\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}$

$\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}$

From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get $\dfrac{1}{8}$ .

Thus, the correct answer is:

Yes, they are correct. Hernando divided 6 by 6.

3 0

3 years ago

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Variance is: Multiple Choice the average squared deviations about the mean of a distribution of values. an empirically testable

DENIUS [597]

Multiple choice answers are clearly defined as below for clarity:

A. the average squared deviations about the mean of a distribution of values.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena.

C. the error made by rejecting the null hypothesis when it is true.

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order.

E. a statement that is the opposite of the null hypothesis

Answer:

A. The average squared deviations about the mean of a distribution of values.

Explanation:

A. the average squared deviations about the mean of a distribution of values. Correct

Standard deviation is how data is distributed around the mean. It is also the square root of the Variance. Therefore, the variance is the square of the standard deviation which is distributed around the mean.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena. Incorrect

This is false as this is rather the definition for hypothesis.

C. the error made by rejecting the null hypothesis when it is true. Incorrect

This is false as this is the definition for the probability of committing a type I error

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order. Incorrect

This is false as this defines what a null hypothesis is.

E. a statement that is the opposite of the null hypothesis. Incorrect

The opposite of the null hypothesis is alternative hypothesis.

6 0

3 years ago

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Savatey [412]

Answer:

f(x) = g(x-9)

Step-by-step explanation:

8 0

3 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder have the same height and radius. The volume

USPshnik [31]

Step-by-step explanation:

radius of sphere, rs

radius of cylinder, rc

height of cylinder, h

given: h = rs = rc =r..eq1

volume of cylinder, vc = 27pi ft...eq2

volume of cylinder, vc = pi × rc^2 × h...eq3

volume of sphere, vs = 4/3(pi×rs^3)...eq4

subst for h & rs from eqn 1 in eqn 3...

vc = pi x r^2 x r= pi x r^3...eqn 5

subst for vc from eqn 2 in eqn 5...

=> 27 pi ft = pi x r^3

=> 27 = r^3

=> r = 3ft...eqn 6

subst for rs from eqn 1 in eqn 4

vs = 4/3 (pi x r^3)...eqn7

subst for pi x r^3 from eqn 5 in eqn 7

vs = 4/3 vc = 4/3 (27pi ft) = 36 pi ft

6 0

3 years ago

A farmer has a collapsable grain bag which can expand both vertically and horizontally as he needs it to. He wants to find a fun

bija089 [108]

Answer:

$3x^{3}+15x^{2}+x+5$

Step-by-step explanation:

We are told that the area of the bag can be represented by the function $f(x)=3x^{2} +1$ and as the bag is raised up its height can be represented by the function $g(x)=x +5$ .

Since we know that we can find volume of cuboid by multiplying base area to its height. We are given area and height of bag as functions. Now we will find volume of the bag by multiplying these functions.

$\text{Volume of collapsible bag}=f(x)*g(x)$

$\text{Volume of collapsible bag}=(3x^{2}+1)*(x +5)$

After using distributive property we will get,

$\text{Volume of collapsible bag}=3x^{2}(x+5)+1(x+5)$

$\text{Volume of collapsible bag}=3x^{3}+15x^{2}+x+5$

Therefore, the collapsible bag can hold $3x^{3}+15x^{2}+x+5$ grain.

6 0

3 years ago