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2 years ago

The data below show the numbers of hours Mrs. Diaz volunteered at the library each month

Mathematics

1 answer:

vlada-n [284]2 years ago

3 0

Answer:

A. 4.5

Step-by-step explanation:

Given:

20, 12, 27, 23, 18, 20, 30, 26

Mean = 22

Required:

Calculate the Mean Absolute Deviation (M.A.D)

Since, we have the mean; we start calculating M.A.D by subtracting the mean from each data

20 - 22 = -2

12 - 22 = -10

27 - 22 = 5

23 - 22 = 1

18 - 22 = -4

20 -22 = -2

30 - 22 = 8

26 - 22 = 4

The we find absolute value of the result above

|-2| = 2

|-10| = 10

|5| = 5

|1| = 1

|-4| = 4

|-2| = 2

|8| = 8

|4| = 4

Lastly, we calculate the mean of the above to give M.A.D

$M.A.D = \frac{2 + 10 + 5 + 1 + 4 + 2 + 8 + 4}{8}$

$M.A.D = \frac{36}{8}$

$M.A.D = 4.5$

Option A is correct.

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Describe 83 in two other ways

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Answer:

83 is a prime number. 83 is also an uneven number.

Step-by-step explanation:

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2 years ago

Francisco’s game involves a bag of 3 green, 2 yellow, 4 red, and 3 black marbles. Andrew wants to increase the likelihood of sel

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2 years ago

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Three workers at a fast food restaurant pack the take-out chicken dinners. John packs 45% of the dinners, Mary packs 25% of the

Gekata [30.6K]

The probability that Mary packed the dinner is 0.15625

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

This problem is about Conditional Probability.

in general, the formula we will use is as follows :

$\large {\boxed {P ( A | B ) = P ( A \bigcap B ) \div P ( B )} }$

Let:

The probability of John that packs the dinners without salt packet is P(J)

The probability of Mary that packs the dinners without salt packet is P(M)

The probability of Sue that packs the dinners without salt packet is P(S)

Then :

$P(J) = 45\% \times 4\% = 0.018$

$P(M) = 25\% \times 2\% = 0.005$

$P(S) = 30\% \times 3\% = 0.009$

If I find there is not salt in my purchased dinner, then the probability that Mary packed my dinner is :

$Probability = \frac{P(M)}{P(J) + P(M) + P(S)}$

$Probability = \frac{0.005}{0.018 + 0.005 + 0.009}$

$Probability = \frac{0.005}{0.032}$

$\large {\boxed {Probability = 0.15625} }$

<h3>Learn more</h3>

Different Birthdays : brainly.com/question/7567074

Dependent or Independent Events : brainly.com/question/12029535

Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Workers , Fast Food Restaurant , Salt Packet , Dinner

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2 years ago

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The sequence of transformations that can be performed on quadrilateral ABCD to show that it is congruent to quadrilateral GHIJ i

Marina86 [1]

First transformation.

Duadrilateral ABCD has vertices with such coordinates:

A(15,10);
B(15,20);
C(20,15);
D(20,5).

Apply a rotation by 90°counterclockwise around point A to this quadrilateral, then

A(15,10)→A'(15,10);
B(15,20)→B'(5,10);
C(20,15)→C'(10,15);
D(20,5)→D'(20,15).

Second transformation.

1. A reflection across the y axis has a rule:

(x,y)→(-x,y).

Then

A'(15,10)→A''(-15,10);
B'(5,10)→B''(-5,10);
C'(10,15)→C''(-10,15);
D'(20,15)→D''(-20,15).

2. A translation 20 units down has a rule:

(x,y)→(x,y-20).

Then

A''(-15,10)→G(-15,-10);
B''(-5,10)→H(-5,-10);
C''(-10,15)→I(-10,-5);
D''(-20,15)→J(-20,-5).

Answer: first blank -B, second blank - B.

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2 years ago

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Question 1(Multiple Choice Worth 1 points)

kirza4 [7]

Answer:

Step-by-step explanation:

1. 8 days

2. C?

3. A

4. B

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6.D

7.48

8. A

9. 1.69%

10. False

I have no clue if these are right i tried my best to get them right, if they are wrong I am incredibly sorry!

- SavageSavvy

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