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3 years ago

Find and interpret the mean absolute deviation of the data. 24, 26, 28, 28, 30, 30, 32, 32, 34, 36

Mathematics

1 answer:

nalin [4]3 years ago

3 0

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|.

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7x - 32+9x-8+5x - 27=180 <br> what’s x?

Nadya [2.5K]

Answer:

Fraction: x = 247/21

Decimal: 11.76

Mixed Number: 11 16/21

Step-by-step explanation:

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2 years ago

Taylor runs a smoothie shop and is in placing his order for a week.Each week he needs to have 2 gallons of pineapple juice and 4

Goryan [66]

Answer:

For pineapple juice

He need 160 more ounces of pineapple juice.

For orange juice

He needs 352 ounces more of orange juice.

Step-by-step explanation:

1 liquid gallon = 4 liquid quarts

1 liquid quart = 32 fluid ounces

Taylor runs a smoothie shop and is in placing his order for a week.

We are told that:

Each week he needs to have

a) For pineapple juice

2 gallons of pineapple juice

We convert these to quarts and ounces

1 gallons = 4 quarts

2 gallons = 2 × 4

= 8 quarts of pineapple juice

If he already has 3 quarts of pineapple juice

She needs: 8 quarts - 3 quarts

= 5 quarts

Converting these to ounces

1 liquid quart = 32 fluid ounces

5 quarts = x

Cross Multiply

=5 × 32 fluid ounces

= 160 fluid ounces

2) For orange juice

She needs to have 4 gallons of orange juice on hand

We convert these to quarts and ounces

1 gallons = 4 quarts

4 gallons = 4 × 4

=Hence she needs to have: 16 quarts of pineapple juice

If he already has 5 quarts of orange juice

She needs: 16 quarts - 5 quarts

= 11 quarts more

Converting these to ounces

1 liquid quart = 32 fluid ounces

11 quarts = x

Cross Multiply

=11 × 32 fluid ounces

= 352 fluid ounces

8 0

2 years ago

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Factor the polynomial

3241004551 [841]

$-2x^3-4x^2-6x=-2x(x^2+2x+3)\\\\Answer:\ D.$

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2 years ago

Question in attachment

Naya [18.7K]

Answer:

it is C. An = 2(2)^n

Step-by-step explanation:

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2 years ago

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In triangle ABC shown below, DE is parallel to AC. The following two-column proof with missing statements and reasons proves tha

lianna [129]

Answer:

The correct option is;

C. 3. ∠BDE ≅∠BAC, Corresponding Angles Postulate 4. ∠B ≅ ∠B Reflexive Property of Equality

Step-by-step explanation:

The two column proof can be written as follows;

Statement, Reason

1. $\overline{DE} \parallel \overline{AC}$ , Given

2. $\overline {AB}$ is a transversal , Conclusion from statement 1.

We note that ∠BDE and ∠BAC are on the same side of the transversal relative to the parallel lines, and are therefore, corresponding angles.

Therefore, we have;

3. ∠BDE ≅∠BAC, Corresponding Angles Postulate

Also

4. ∠B ≅ ∠B, Reflexive Property of Equality

In the two triangles, ΔABC and ΔDBE, we have ∠BDE ≅∠BAC and ∠B ≅ ∠B,

From ∠BDE + ∠B + ∠BED = 180°

∠BAC + ∠B + ∠BCA = 180°

Therefore, ∠BED = ∠BCA Substitution property of equality

Which gives;

5, ΔABC ~ ΔDBE, Angle Angle Similarity Postulate

6. BD/BA = BE/BC, Converse of the Side-Side-Side Similarity Theorem

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2 years ago