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Tomtit [17]
3 years ago
10

What is the value of X ? A-17 B-26 C-39 D-41

Mathematics
1 answer:
Sav [38]3 years ago
5 0

Answer:

D. 41

Step-by-step explanation:

Use Pythagorean Theorem: a² + b² = c²

With that in mind, we already have <em>a </em>and <em>b</em>, so:

40² + 9² = c²

√(40² + 9²) = c

c = 41

And we have our final answer!

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A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

7 0
3 years ago
How many centimeters are in 20 miles
sesenic [268]

Answer:3218680

cms

Step-by-step explanation: multiply 20x160934

3 0
3 years ago
1. Determine the angle, to the nearest degree, of C if tan C = 5.1323
Kitty [74]

Answer:

C = 79, B = 26 degrees

Step-by-step explanation:

tan C = 5.1323

To find C you  use your calculator . Press tan-1 ( or it might be arctan) then the value 5.1323 Then ENTER.

C =  79 degrees to nearest degree.

cos B = 0.8954

B = 26 degrees

8 0
3 years ago
Kurt runs diagonally across a rectangular feild u get the resr just read the image
pychu [463]

Answer:

The distance Kurt runs is 110 m

Step-by-step explanation:

All triangles add up to 180 because they make straight lines.

7 0
2 years ago
Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

y = mx+b

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

y = mx+b

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0
3 years ago
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