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Likurg_2 [28]
2 years ago
7

Look at the picture as I can’t type the whole thing

Mathematics
1 answer:
bija089 [108]2 years ago
8 0

Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

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sqrt(144)

What number times itself = 144


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Also -12*-12 = 144


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LM=9, NR=16, SR=8. Find the perimeter of △SMP.
Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM,  NP = PR = <u>MS</u><u> = 8</u>

Also since LM = MN, MN = 9

From △SRP, SR = RP = <u>PS =  9</u>

Also SR =<u> MP = 8</u>

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

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