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3 years ago

Find the median of the following set of numbers. 98, 67, 98, 102, 74, 95, 99

Mathematics

2 answers:

Mars2501 [29]3 years ago

7 0

Answer:

Step-by-step explanation:

to find median you put the numbers in order from least to greatest then you see what number is in the middle

dangina [55]3 years ago

5 0

Answer:

Step-by-step explanation:

The median of an information set is found by putting the information set in ascending numerical order and identifying the center number. If there are an odd number of data values within the data set, the median could be a single number. If there are an excellent number of data values within the data set, the median is that the average of the 2 middle numbers. Sorting the information set for the values entered above we have:

98, 67, 98, 102, 74, 95, 99

Since there's an odd number of data values during this data set, there's just one middle number. With 7 data values, the center number is that the data value at position 4. Therefore, the median is 98.

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Solve for x.<br> (17x - 23)<br> (&r - 4)*<br> -(3x + 17)

Finger [1]

Answer:

17rx2−23rx−71x+75

Step-by-step explanation:

(17x−23)(xr−4)−(3x+17)

=(17x−23)(xr−4)+−1(3x+17)

=(17x−23)(xr−4)+−1(3x)+(−1)(17)

=(17x−23)(xr−4)+−3x+−17

=(17x)(xr)+(17x)(−4)+(−23)(xr)+(−23)(−4)+−3x+−17

=17rx2+−68x+−23rx+92+−3x+−17

=(17rx2)+(−23rx)+(−68x+−3x)+(92+−17)

=17rx2+−23rx+−71x+75

6 0

3 years ago

An explanation would be appreciated!!

sweet-ann [11.9K]

Answer:

Answer: l = 82.5

Step-by-step explanation:

11/2 x 15 = 82.5.

4 0

2 years ago

What is the equation of the line perpendicular to 2x - 3y = 13 that passes through the point (-6, 5)?

Arte-miy333 [17]

Answer: 2y + 3x = -8.

Step-by-step explanation:

Given our first equation 2x-3y =13, we rewrite in the form of equation of a line, i.e y = mx + c

Where m is the slope of the line and c is the intersection on y axis.

By rewriting, we have...

3y= 2x-13

y= 2x/3 - 13/3.

m= 2/3, c= -13/3.

For two perpendicular lines, the product of their gradients is -1

i.e

m¹ * m² = -1

Hence m² = -1 * 3/2

m² = -3/2.

Hence, to get the equation of the line passing through the point (-6,5) we first find the intersection when x=0 given as

[Y-c]/[x-0] = -3/2

2y - 2c = -3x

2(5) - 2c =- 3(-6)

10-18= 2c

C = -8/2

C= -4

Then the equation is given as

y = mx + c

y = [-3/2]x - 4

2y= -3x - 8

2y + 3x = -8.

3 0

3 years ago

What is the measure of angle N?

Brrunno [24]

Answer:

47.3 degrees

Step-by-step explanation:

The sum of all the angles in a triangle is 180 degrees.

180 - 42.7 - 90 = N

N = 47.3 degrees

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6 0

3 years ago

Using diaries for many weeks, a study on the lifestyles of visually impaired students was conducted. The students kept track of

Hoochie [10]

Answer:

a) 0.1020

b) 0.7125

c) 7.64 hours

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 8.65, \sigma = 1.93$

(a) What is the probability that a visually impaired student gets less than 6.2 hours of sleep?

This is the pvalue of Z when X = 6.2. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6.2 - 8.65}{1.93}$

$Z = -1.27$

$Z = -1.27$ has a pvalue of 0.1020.

So the answer for a is 0.1020.

(b) What is the probability that a visually impaired student gets between 6.8 and 10.93 hours of sleep?

This is the pvalue of Z when X = 10.93 subtracted by the pvalue of Z when X = 6.8. So

X = 10.93

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{10.93 - 8.65}{1.93}$

$Z = 1.18$

$Z = 1.18$ has a pvalue of 0.8810.

X = 6.8

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{6.8 - 8.65}{1.93}$

$Z = -0.96$

$Z = -0.96$ has a pvalue of 0.1685.

So the answer for b) is 0.8810 - 0.1685 = 0.7125.

(c) Thirty percent of students get less than how many hours of sleep on a typical day?

This is the value of X in the 30th percentile, that is, the value of X when Z has a pvalue of 0.30. So it is X when Z = -0.525, since this happens between Z = -0.53 and Z = -0.52.

$Z = \frac{X - \mu}{\sigma}$

$-0.525 = \frac{X - 8.65}{1.93}$

$X - 8.65 = -0.525*1.93$

$X = 7.64$

The answer for c is 7.64 hours.

3 0

3 years ago