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anyanavicka [17]
2 years ago
11

Find the variance of 101, 102, 100, 100, 110, 109, 109, 108, 109

Mathematics
1 answer:
Andreyy892 years ago
6 0
101, 102, 100, 100, 110, 109, 109 ,108, 109 average to 105.3



subtracting the mean from each number yields the below-

-4,-3,-5,-5,5,4,4,3,4



Squaring each number gives-

16,9,25,25,16,16,9,16



The average of these numbers is 12.89 to two decimal places, so your variance is 12.89
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The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randoml
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Answer:

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Step-by-step explanation:

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5 0
2 years ago
If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc
RoseWind [281]

m□ebd=4 x-8 and m□ebc=5 x+20

This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.

∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.

i.e

∠ ebd + ∠ebc = 180°

4 x- 8 + 5x + 20= 180°

adding like terms

⇒ 9 x +12 =180°

⇒ 9 x = 180° - 12

⇒ 9 x = 168°

⇒ x =( 168/9)°=(56/3)°

now  m□ebc =5 x +20

       = 5 × 56/3 + 20

       = 280/3 + 20

      =340/3

m□ebc=( 340/3)°

So, solution set is x =(56/3)° and  m□ebc =(340/3)°

5 0
2 years ago
Lamar can run 3 miles in 18 minutes. At this rate, how much distance can he run in one hour?
Bess [88]

Answer:

21 mph is answer

Step-by-step explanation:

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7 0
1 year ago
Read 2 more answers
Ann's car can travel 228 miles on 6 gallons of gas. a. Write an equation to represent the distance, y, in miles Ann's car can tr
Murrr4er [49]

Answer:

288 gallons ÷ 6 miles = 48 miles per gallon  

48 miles per gallon • 7 miles = 366 miles  

Step-by-step explanation:

7 0
1 year ago
isco Fever is randomly found in one half of one percent of the general population. Testing a swatch of clothing for the presence
maks197457 [2]

Answer:

0.8894 is the probability that the test result comes back negative if the disease is present .

Step-by-step explanation:

We are given the following in the question:

P(Disco Fever) = P( Disease) =

P(D) = \dfrac{1}{2}\times 1\% = 0.5 \times 0.01 = 0.005

Thus, we can write:

P(No  Disease) =

P(ND) =1 - P(D)= 0.995

P(Test Positive given the presence of the disease) = 0.99

P(TP | D ) = 0.99

P( false-positive) = 4%

P( TP | ND) = 0.04

We have to evaluate the probability that the test result comes back negative if the disease is present, that is

P(test result comes back negative if the disease is present)

By Bayes's theorem, we can write:

P(ND|TP) = \dfrac{P(ND)P(TP|ND)}{P(ND)P(TP|ND) + P(D)P(TP|D)}\\\\P(ND|TP) = \dfrac{0.995(0.04)}{0.995(0.04) + 0.005(0.99)} = 0.8894

0.8894 is the probability that the test result comes back negative if the disease is present .

5 0
2 years ago
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