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2 years ago

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Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?

1 answer:

kompoz [17]2 years ago

4 0

Answer:

91

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

let x be his test score of his last test , then

$\frac{86+70+72+100+96+80+x}{7}$ = 85 ( multiply both sides by 7 )

504 + x = 595 ( subtract 504 from both sides )

x = 91

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Chloe spent $69 and now has no money left. She had before her purchase. She had $ before her purchase. can you please help me wi

max2010maxim [7]

Answer:

$69

Step-by-step explanation:

Given

$Purchase = \$69$

$Amount\ Left = \$0$

Required

Determine the cash before purchase

To get the her amount before the purchase, we simply add both given parameters together.

This is done as follows;

$Amount = Amount Left + Purchase$

Substitute 0 for Amount Left and 60 for Purchase

$Amount = \$0 + \$69$

$Amount = \$69$

<em>Hence, she had $69 before the purchase</em>

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3 years ago

A line segment is divided in two segments, such that the ratio of the long segment to the short segment is equivalent to the go

vova2212 [387]

Answer:

9.271 inches.

Step-by-step explanation:

Let AC be the length of original line segment and point B divides it into two segments such that AB is longer and BC is smaller segment.

$AB+BC=AC=15$

We can describe the golden ratio as:

$\frac{AB}{BC}=\frac{AC}{AB}=1.618$

$\frac{AC}{AB}=1.618$

$\frac{15}{AB}=1.618$

$\frac{15}{1.618}=AB$

$9.270704=AB$

$AB=9.271$

We can verify our answer as:

$AB+BC=15$

$9.271+BC=15$

$9.271-9.271+BC=15-9.271$

$BC=5.729$

$\frac{AB}{BC}=1.618$

$\frac{9.271}{5.729}=1.618$

$1.618=1.618$

Hence proved.

Therefore, the length of the longer side would be 9.271 inches.

4 0

3 years ago

When throwing fair dice, all six faces of each die are equally likely. there are thirty-six total possible outcomes (any of the

Marysya12 [62]

Answer:

Probability of sum of pips on two faces is at least 9 = $\frac{5}{18}$

Step-by-step explanation:

Experiment: Throwing two fair dice.

Total no of Outcome = $6^2$ = 36

Sample space (list of outcome) is attached.

Let E be the event that sum of pips on two faces is at least 9.

$Probability \:(\,Event \:E\,)\: =\;\frac{No.\: of\: favorable\: outcome\:of\: Event\: E}{Total\: No.\: of \:Outcome}$

Favorable outcome are where sum is 9 , 10 , 11 and 12.

From Sample space, No. of Favorable outcome = 10

∴ $Prob\: (\: E\: ) = \frac{10}{36}$

$Prob\: (\: E\: ) = \frac{5}{18}$

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3 years ago

What 10x10x10x10x10x10x10000=

Lilit [14]

Answer:

10^6*10000=10,000,000,000

Step-by-step explanation:

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3 years ago

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Ipatiy [6.2K]

Answer:

1/6

Step-by-step explanation:

Perpendicular lines have slopes whose product is -1. That is ...

-6m = -1

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7 0

3 years ago

Read 2 more answers