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LenaWriter [7]
2 years ago
11

Simplify using the distributive property. 5 Marks 1/5(4m+20) 9(5/9 y-1/3)

Mathematics
1 answer:
Zarrin [17]2 years ago
4 0

Answer+Step-by-step explanation:

\frac{1}{5} \left( 4m+20\right)  =\frac{4}{5}m + \frac{20}{5} = \frac{4}{5}m + 4

9\left( \frac{5}{4} y-\frac{1}{3} \right)  =\frac{9\times5}{9} y-\frac{9}{3} = 5y - 3

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Suppose the following are the city driving gas mileages of a selection of sport utility vehicles (SUVs). 19, 20, 19, 20, 18, 21,
nikdorinn [45]

Answer:

Step-by-step explanation:

The mean of the gas mileages is 317÷16=19.8125

317 is the sum total of all the figures and 16 is the number of figures in the distribution

Standard deviation is the square root of the variance and the variance is the mean of all squared deviations

The 16 squared deviations are

7.9102(×2) + 3.2852(×2) + 0.6602(×3) + 0.0352(×4) + 1.4102(×3) + 10.1602 + 17.5352 = 56.4382

56.4382÷16 = 3.5274

This is the Variance. The standard deviation is herefore √3.5274 =1.878 ~ 1.88 (to 2 decimal places)

(B) Chebyshev's inequality predicts that 75% of the selection will fall within 2 standard deviations of the mean

2×1.88=3.76

19.8125-3.76 = 16.05

19.8125+3.76= 23.57

The gas mileages are between 16.05 and 23.57

(C) the actual % of SUV models of the sample that fall in the above range is (15/16 × 100) = 93.75%

(D) the empirical rule gives the more accurate prediction

5 0
4 years ago
Liz types 180 words in three minutes. At that rate how many minutes does it take her to type 1260 words
mash [69]

Answer:

21 minutes

Step-by-step explanation:

you first have to find how many words she writes in one minute. you do this by dividing 180/3=60. after that divide 1260 by 60 = 21 minutes.

4 0
3 years ago
Anyone know how to work this out?
andrey2020 [161]

72.6

total all of them

but if you want a quicker way then 16multiplys2 and 13 multiplys 2 then add 7.3 times 2

6 0
4 years ago
Read 2 more answers
The perimeter of a rectangle is 24 meters. If the length of the rectangle is 8 meters, what is the width (in meters)?
Serhud [2]

Answer:

8 meters

Step-by-step explanation:

8 + 8 + 8 + 8 = 24 which is the perimeter, just trust me

7 0
3 years ago
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A water polo team threw a pizza party after winning the championship. They needed enough pizza for 72 people. Each pizza serves
Taya2010 [7]

Answer: 204 dollars in total

Step-by-step explanation: There are 72 people, and each serving serves six people. 72 divided by 6 =12.

12x17 equals $204

Hope this helped!

7 0
3 years ago
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