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lara31 [8.8K]
3 years ago
12

7r - 8rhow to combine like terms ​

Mathematics
1 answer:
Sedaia [141]3 years ago
6 0
-r

Step by step:
7r+(-8)
7r+(-8r)
-r
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According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507 and st
Leviafan [203]

Answer:

The actual SAT-M score marking the 98th percentile is 735.

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 = 507, \sigma = 111

Find the actual SAT-M score marking the 98th percentile

This is X when Z has a pvalue of 0.98. So it is X when Z = 2.054. So

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

2.054 = \frac{X - 507}{111}

X - 507 = 2.054*111

X = 735

8 0
3 years ago
The graph of y=e* is transformed as shown in the graph below. Which equation represents the transformed
butalik [34]

Answer:

what are the answers

Step-by-step explanation:

okay the answer is B. y=e^x+3

7 0
2 years ago
jasmine wants to organize her books in order of most number of pages to least number of pages. Jasmine's longest book has 396 pa
Natasha_Volkova [10]
Longest book: 396 Shortest book: 1/4×396=99 Middle book: 3×99= 297
<span> 
If the book in the middle of her shelf has three times the number of pages of the shortest book then how many pages does the middle book have?
Answer: 297</span>
5 0
3 years ago
Tobias's music store bought a piano at the wholesale price of $550. Tobias marked up the price 35%. What was the amount of marku
Mrrafil [7]

Answer:

A.  $58.50

B.  $80

C.  No. The markup was 33 1/3%

Step-by-step explanation:

You are expected to know the relevant relationship is ...

  cost + markup = selling price . . . . also called "store price" in this problem

___

A. The markup is 30% × $45 = $13.50, so the store price is ...

 $45 + 13.50 = $58.50

___

B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...

 $104 = 1.30 × cost

 $104/1.3 = cost = $80 . . . . . divide by the coefficient of cost

___

C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...

 $25/$75 × 100% = 33 1/3%

This is not 30%.

Step-by-step explanation:

8 0
2 years ago
Give the rule for translating a point 4 units left and 8 units up
makvit [3.9K]

Answer:

(x-4,y+8)

<em></em>

Step-by-step explanation:

Given

Point = (x,y)

Required

Translate

  • 4 units left
  • 8 units up

<u>8 units up</u>

The general rule for up translation is;

f'(x,y) = f(x,y+h)

Where h is the unit translated up

In this case:

h = 8

So, we have:

f'(x,y) = f(x,y+8)

<u>4 units left</u>

The general rule for up translation is;

f'(x,y) = f(x-b,y)

Where b is the unit translated left

In this case:

b = 4

So, we have:

f"(x,y) = f(x -4,y+8)

<em>Hence, the rule of translation is: (x-4,y+8)</em>

8 0
3 years ago
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