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Anika [276]
3 years ago
10

A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adul

ts of each type of monkey, weighted them, and recorded their weights in pounds. Howler monkey: {15,16,17,17,17,17,18,19} spider monkey: {12,13,13,14,14,14,16,16} (A) calculate the mean and Mad for each type of monkey. (B) calculate the means -to-MAD ration for the two types of monkeys. (C) what inference can be made about the weight of both types of monkeys? Explain.
Mathematics
2 answers:
KiRa [710]3 years ago
8 0
Howler mean: 17
Spider mean:  14
den301095 [7]3 years ago
6 0

Answer:

Given:

howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}

spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}

The mean of the first set (howler monkey) = (15 + 16 + 17 + 17 + 17 +17 + 18 + 19)/ 8 

The sum of all weights is divided by the number of monkeys weighed (n = 8)

mean = 17

Do the same for the second set (spider monkey) = 12+ 13 + 13+ 14 + 14+ 14 +14 +16 + 16 / 8

mean = 15.75

The ratio of the two is 17:15.75 or 1.08 is to 1. 

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8 0
3 years ago
Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.
AleksandrR [38]

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ    ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, TS = \frac{1}{2} QR

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, TU = \frac{1}{2} PR

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

6 0
3 years ago
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