COMBINATIONS 20 POINTS • 28 • 14 • 10

ollegr [7]

Data:
r (radius) = 3.5 in
h (height) = 8 in
Adopt: $\pi \approx3.14$
V (volume) = ?
Ink cost per cubic inch = $0.05/in³
Total cost: ?

Calculate the volume of the paint bucket (its formed being cylindrical), we have:
 $V = \pi *r^2*h$
$V = 3.14 *3.5^2*8$
$V = 3.14*12.25*8$
$\boxed{V = 307.72\:in^3}$

What was the total cost of the paint?

price($)___measure(in³)
0.05 ---------- 1
y -------------- 307.72

It is made the rule of three: (directly proportional)

$\frac{0.05}{y} = \frac{1}{307.72}$
multiply cross
$1*y = 0.05*307.72$
$y = 15.386\:\to\:\boxed{\boxed{y\approx\$15}}\end{array}}\qquad\quad\checkmark$

Answer:
the total cost of the paint is $15

7 0

3 years ago

A bank's loan officer rates applicants for credit.

Artist 52 [7]

Answer:

$a=200 +0.253*50=212.65$

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the loan officer rates applicants for a credit of a population, and for this case we know the distribution for X is given by:

$X \sim N(200,50)$

Where $\mu=200$ and $\sigma=50$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.40$ (a)

$P(X$ (b)

Both conditions are equivalent on this case.

As we can see on the figure attached the z value that satisfy the condition with 0.60 of the area on the left and 0.40 of the area on the right it's z=0.253. On this case P(Z<0.253)=0.60 and P(z>0.253)=0.4

If we use condition (b) from previous we have this:

$P(X$

$P(Z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.253$

And if we solve for a we got

$a=200 +0.253*50=212.65$

So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.

5 0

3 years ago

Ben Spender writes a $60 check which is retumed by his bank with additional charges. The company he wrote the

pshichka [43]

Answer:

$80

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

In which of the scenarios can you reverse the dependent and independent variables while keeping the interpretation of the slope

den301095 [7]

Answer- the scenario depicting cars in a city and its pollution, my reasoning is that this scenario presents the only possibility for one end of the slope to fully nullify itself through use or discontinuation of use. The others have a lower limit similar to a price ceiling except for a minimum amount.

8 0

3 years ago

So the answer is 4/5 ??

Masteriza [31]

Answer:

To what?

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers