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Ann [662]
2 years ago
13

Calculate the mean and median for the data. 24, 26, 40, 27, 37, 32

Mathematics
2 answers:
Hitman42 [59]2 years ago
8 0

Answer:

mean = 24 + 26 + 40 + 27 + 37 + 32 = 186/6 = 31

median = 24, 26, 40  27 , 37,32 = 40 + 27 /2 = 53.5 (you have to take middle numbers)

Hope this helps!

Olegator [25]2 years ago
4 0

Answer:

mean is 31

median is 29.5

Step-by-step explanation:

You might be interested in
Triangle XYZ is shown, where n ≥ 5. Triangle X Y Z is shown. The length of side X Y is n + 4, the length of side Y Z is 2 n, and
motikmotik

Answer:

The longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

Step-by-step explanation:

The lengths of the sides of the triangle XYZ are as follows:

XY = n + 4

YZ = 2n

ZX = n - 2

According to the triangle inequality theorem, the sum of two sides of a triangle is always greater than the third side.

Then,

XY < YZ + ZX ⇒ n + 4 < 2n + n - 2 ⇒ n + 4 < 3n - 2 ⇒ 2n > 6 ⇒ n > 3

YZ < XY + ZX ⇒ 2n < n + 4 + n - 2 ⇒ 2n < 2n + 2 ⇒ 0 < 2

ZX < XY + YZ ⇒ n - 2 < n + 4 + 2n ⇒ n - 2 < 3n + 4 ⇒ 2n > -6 ⇒ n > -3

It is provided that <em>n</em> ≥ 5.

Then the sides of the triangle are:

XY = n + 4 ≥ 5 + 4 = 9

YZ = 2n ≥ 2 × 5 = 10

ZX = n - 2 ≥ 5 - 2 = 3

So, the longest side of the triangle is YZ. And the shortest side is ZX.

The largest angle of a triangle is opposite to the longest side.

The angle opposite to YZ would be X. So, the largest angle is ∠X.

The smallest angle of a triangle is opposite to the shortest side.

The angle opposite to ZX would be Y. So, the smallest angle is ∠Y.

Thus, the longest side of the triangle is YZ, the shortest side is ZX, the largest angle is ∠X and the smallest angle is ∠Y.

6 0
3 years ago
A box contains 17 marbles, 13 blue marbles, and 23 white marbles. What is the part-whole ratio of red marbles in the box.
sergij07 [2.7K]
Since the ratio is part-Whole, first you need to find the whole. If you add all of the marble colors together (17+13+23) you get the total marbles (53) in the box. The ratio of red marbles to the total would be 17 to 53.
6 0
3 years ago
Two numbers are co-prime if they have no common factors (other than
Triss [41]

Answer:

See below.

Step-by-step explanation:

a)

105/3 = 35

35/5 = 7

7/7 = 1

429/3 = 143

143/11 = 13

13/13 = 1

105 = 3 * 5 * 7

429 = 3 * 11 * 13

Not co-prime

For the other parts of the problem, do the same I did above. Find the prime factorizations of both numbers, and see if they have any prime factors in common.

4 0
2 years ago
Leo's model airplane uses O.03 L of fuel each minute it flies.Lf the fuel tank holds O.5 L, how long can the plane fly without r
Keith_Richards [23]

16 minutes

0.03*16=0.48

Closest you can get w/out going over.

3 0
3 years ago
Find the sum of 997 + 992 + 987 +...+ 257 +252
Vikentia [17]

Answer:

  93,675

Step-by-step explanation:

We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.

The number of terms in the sequence (n) can be found from the formula for the n-th term:

  an = a1 +d(n -1)

  (an -an)/d +1 = n

  (252 -997)/(-5) +1 = n = 150

The sum of these terms is the average of the first and last terms, multiplied by the number of terms:

  S150 = (997 +252)/2·150 = 93,675

The sequence sum is 93,675.

7 0
3 years ago
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