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3 years ago

9

Donovan wants to earn a 70% in Mr. Mottola's class. He knows he currently has an 67% in the class after 9 grades. What is the mi

nimum grade Donovan would need to earn in order to have a 70%.

1 answer:

Likurg_2 [28]3 years ago

6 0

Donovan needs to earn at least a 73% in order to have a 70%

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The function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 Match the average rates of

Paul [167]

The given data is shown in the table below.

x: -5 -4 -3 -2 -1 0 1
f(x): 35 24 15 8 3 0 -1

A graph of the data is shown below.

Calculate rates of change, r.
Interval: [-5, -1]
r = (35 - 3)/(-5+1) = -8 (tile -8)

Interval: [-4, -1]:
r = (24 - 3)/(-4 + 1) = -7 (tile -7)

Interval: [-3, 1]:
r = (15 + 1)/(-3 - 1) = -4 (tile - 4)

Interval: [-2, 1]
r = (8 + 1)/(-2 - 1) = -3 (tile -3)

Answer:

Tile Interval
----- ----------
-3 [-2, 1]
-4 [-3, 1]
-7 [-4, -1]
-8 [-5, -1]

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3 years ago

Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (

natka813 [3]

Answer:

For subsets A={1,2},B={2,3},C={1,2 5} of U = {1, 2, 3, 4, 5}.

A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

Step-By-Step Explanation:

U = {1, 2, 3, 4, 5}.

A={1,2}

B={2,3}

C={1,2 5}

For the Left Hand Side

B-C={3}

A ∪ (B − C)= {1,2} ∪ {3} ={1,2,3}

Likewise, the Right Hand Side:

(A ∪ B)={1,2,3}

(A ∪ C)={1,2,5}

(A ∪ B)- (A ∪ C)= {1,2,3}-{1,2,5}={3}

Since, {1,2,3} ≠ {3}, A ∪ (B − C) = (A ∪ B) − (A ∪ C) does not hold.

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2 years ago

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Attached the solution with work shown.

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3 years ago

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dezoksy [38]

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1.4 1.8 1.6 1.7 1.5 1.5 1.7 1.6 1.5 1.6
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Other companies: 1.8 1.9 1.6 1.7 1.6 1.8 1.7 1.5 1.8 1.7
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Standard deviation: 0.014333

The coefficient of variation for security Service Company:

CV = (Standard Deviation/Mean) * 100.

= (0.14333/1.59) * 100

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The coefficient of variation for other companies:

CV = (Standard Deviation/Mean) * 100.

= (0.014333 / 1.71) * 100

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the limited data listed here show evidence of stealing by the security service company's employees because there is a significant difference in the variation.

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3 years ago

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Answer:

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Therefore the expected value of playing the game once is -$0.26

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2 years ago