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3241004551 [841]
2 years ago
9

At Pizza Pi, 40% of the pizzas made last week had extra cheese. If 8 pizzas had extra cheese, how many pizzas in all were made l

ast week?
Mathematics
1 answer:
Natalija [7]2 years ago
3 0

Answer:

20 pizzas.

Step-by-step explanation:

40% = 8

1% = 8 ÷ 40 = 0.2

100% = 0.2 x 100 = 20

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A college requires applicants to have an ACT score in the top 12% of all test scores. The ACT scores are normally distributed, w
DochEvi [55]

Answer:

a) The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b) 156 would be expected to have a test score that would meet the colleges requirement

c) The lowest score that would meet the colleges requirement would be decreased to 26.388.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 21.5, \sigma = 4.7

a. Find the lowest test score that a student could get and still meet the colleges requirement.

This is the value of X when Z has a pvalue of 1 - 0.12 = 0.88. So it is X when Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.175*4.7

X = 27.0225

The lowest test score that a student could get and still meet the colleges requirement is 27.0225.

b. If 1300 students are randomly selected, how many would be expected to have a test score that would meet the colleges requirement?

Top 12%, so 12% of them.

0.12*1300 = 156

156 would be expected to have a test score that would meet the colleges requirement

c. How does the answer to part (a) change if the college decided to accept the top 15% of all test scores?

It would decrease to the value of X when Z has a pvalue of 1-0.15 = 0.85. So X when Z = 1.04.

Z = \frac{X - \mu}{\sigma}

1.04 = \frac{X - 21.5}{4.7}

X - 21.5 = 1.04*4.7

X = 26.388

The lowest score that would meet the colleges requirement would be decreased to 26.388.

6 0
3 years ago
Simple math my tiny brain can’t understand PLEASE HELP
gogolik [260]

Answer:

if im not mistaken its 143

8 0
2 years ago
Read 2 more answers
I NEED HELP ASAP!!!!!! 20 POINTS. Jake and Finn both worked hard over the summer. Together they earned a total of $400. Finn ear
Semenov [28]

Answer:

225 for finn jake gets 175

Step-by-step explanation:

400 divided by 2 = 200+25 witch gives Finn 225 dollars.  

J=175 f=225

4 0
2 years ago
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X + 7y = -4 <br> solve for x
GuDViN [60]
To solve for x
x+7y=-4
x=-4-7y
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2 years ago
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Match each expression to another expression with the same value. 24 ÷ 3 53 × 7 56 − 21 4 − 3 40 × 2 8 × 50 8 × (5 × 12 − 10) (8
FrozenT [24]

Answer:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

Step-by-step explanation:

Given:

We have to match the equivalent expressions:

a. 24 ÷ 3                 f. 8 × 50

b. 53 × 7                 g. 8 × (5 × 12 − 10)

c. 56 − 21               h. (8 × 7 − 3) × 7

d. 4 − 3                   i. 8 × 3 ÷ (6 − 3)

                e. 40 × 2          

             

Solution:

a. 24 ÷ 3 = 8                

b. 53 × 7 = 371            

c. 56 − 21 = 35            

d. 4 − 3 = 1  

e. 40 × 2 =80                            

f. 8 × 50 = 400                      

g. 8 × (5 × 12 − 10)  <em>Using PEMDAS rule.</em>

⇒ 8\times (60-10)

⇒ 8\times 50

⇒ 400

h. (8 × 7 − 3) × 7

⇒ (56-3)\times 7

⇒ (53)\times 7

⇒ 371

i. 8 × 3 ÷ (6 − 3) = 8

⇒ \frac{8\times 3}{3}

⇒ \frac{24}{3}

⇒ 8

Answers:

a. 24 ÷ 3  = 8                       ⇒              i. 8 × 3 ÷ (6 − 3)  = 8

b. 53 × 7 = 371                     ⇒             h. (8 × 7 − 3) × 7 = 371

g. 8 × (5 × 12 − 10) = 400    ⇒             f. 8 × 50 = 400

c,d and e didn't have any match    

a is equivalent to i,b equivalent to h and g is equivalent to f.

6 0
3 years ago
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