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elena55 [62]
3 years ago
11

Solve the following equation. Then place the correct number in the box provided.

Mathematics
1 answer:
Yuri [45]3 years ago
5 0

Answer:

-50 <= -3

Step-by-step explanation:

2z + 2 - 4z - 16 <= 2z + 10

-2z - 14 <= 2z + 10

-4z - 14 <= 10

-4z <= 24

-z <= 6

z <= -6

2(-6+1)-4(-6-4) <= 2(-6 +5)

-10 -40 <= -3

-50 <= -3

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The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown bel
nexus9112 [7]

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)

Putting the values

M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)

The 10th value in dataset is 26 and 11th is also 26 so

M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26

Hence,

The correct answer is: Option D: 26 vehicles

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3 years ago
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Dimas [21]

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What is the measure of angle ABC?<br> • 36°<br> • 43°<br> • 72°<br> • 144°
RideAnS [48]

Given that the measure of ∠ADC = (7x + 2)° and arc AC = (8x - 8)°

We need to determine the measure of ∠ABC

<u>The value of x:</u>

The measure of ∠ADC can be determined using the formula,

m\angle ADC=m \widehat{AC}

Substituting the values, we get;

7x+2=8x-8

-x+2=-8

     -x=-10

       x=10

Thus, the value of x is 10.

<u>The measure of ∠ADC:</u>

Substituting the value x = 10 in the measure of ∠ADC = (7x + 2)°

We have;

\angle ADC=(7(10)+2)^{\circ}

\angle ADC=(70+2)^{\circ}

\angle ADC=72^{\circ}

Thus, the measure of ∠ADC is 72°

<u>The measure of ∠ABC:</u>

The measure of ∠ABC can be determined using the central angle theorem.

Thus, we have;

\angle ADC=2\angle ABC

     72^{\circ}=2\angle ABC

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Thus, the measure of ∠ABC is 36°

Hence, Option A is the correct answer.

7 0
4 years ago
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What is the ratio for 500m:250cm​
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Answer:

1:4

Step-by-step explanation:

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