Sold the proportion. 5/16=x/160 A. 50 B. 80 C. 10 D. 512

There is 12/15 of a pizza left. How many 3/10 pieces can be made from the leftover pizza? Show work please!

Katyanochek1 [597]

How many 1/3 pieces can be made from 2 pizzas, we know it is 6 and it is arrived by dividing 2 by 1/3 or multiplying by its reciprocal 3/1.

Hence to find how many 3/10 pieces can be made from 12/15 pizza, we have to divide 12/15 by 3/10 or multiplying by its reciprocal 10/3, i.e.

12/15 times 10/3= 8/3 or 2 2/3

What does that mean? This means that while 2 three-tenths pieces can be made, 2/3of 3/10 i.e. 2/3×3/10=2/10=1/5 or one-fifth of pizza will be left out.

So the answer is 2 three-tenths pieces can be made, and one-fifth pizza will be left out.

5 0

3 years ago

The water diet requires you to drink two cups of water every half hour from the time you get up until you go to bed, but otherwi

Elan Coil [88]

Answer:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

Step-by-step explanation:

For this case we have the following info given:

Weight before diet 180 125 240 150

Weight after diet 170 130 215 152

We define the random variable $D = before-after$ and we can calculate the inidividual values:

D: 10, -5, 25, -2

And we can calculate the mean with this formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

And the deviation with:

$s= \sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}$

And after replace we got:

$\bar D= 7, s_d = 13.638$

And the confidence interval for this case would be given by:

$\bar D \pm t_{\alpha/2} \frac{s_d}{\sqrt{n}}$

The degrees of freedom are given by:

$df = n-1= 4-1=3$

For the 95% of confidence the value for the significance is $\alpha=0.05$ and the critical value would be $t_{\alpha/2}= 3.182$ . And replacing we got:

$7-3.182 \frac{13.638}{\sqrt{4}}= -14.698$

$7+3.182 \frac{13.638}{\sqrt{4}}= 28.698$

6 0

2 years ago

Exactly 32% of the students in a school play a sport. Fifty students are randomly selected to determine the probability that, at

faltersainse [42]

A binomial probability density function should be used to represent the probability

<h3>How to determine the type of probability density?</h3>

The given parameters are:

Proportion that plays sport, p = 32%
Number of students selected, p = 50
The probability, P = (x ≤ 15)

The proportion that plays sport indicates that

68% of the students do not play sport

So, we have two events, which are

Play sport
Do not play sport

When there are two possible events, then the binomial probability density function should be used

Read more about binomial probability density at:

brainly.com/question/15246027

#SPJ1

8 0

2 years ago

The slope of the line whose equation is 3y + 2x =1 is

frez [133]

3y + 2x =1
3y = - 2x + 1
y = - 2/3x + 1/3

slope : - 2/3

7 0

2 years ago

Jonah took out a four year loan for $22,000 to help pay for college. He has to pay 5% simple interest on the loan. How much will

suter [353]

Answer:

26,400

Step-by-step explanation:

1) Find 5% of 22,000 by multiplying 22,000 by .05. You should get 1100.

2) Multiply that by 4. (4400)

3) Now add that to the original.

6 0

2 years ago