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myrzilka [38]
3 years ago
12

While playing games on a particular smart phone, 1% of the battery is drained every five minutes of game play. The battery start

s off at 80% full . This can be represented by b(m)=80-m/5. What does B(75) represent?
Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

B(75) represents the percent of battery full after 75 minutes of game play

Step-by-step explanation:

Let m represent the number of minutes of game play. If  1% of the battery is drained every five minutes of game play, then after m minutes of game play \dfrac{m}{5}\% was drained.

The battery starts off at 80% full. After m minutes the battery will have

B(m)=80-\dfrac{m}{5}

percent full.

When m=75 minutes, then

B(75)=80-\dfrac{75}{5}=80-15=65\%.

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Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
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Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
Solve this: 2-2÷2×2+2​
sergey [27]

Answer:

-2 I think

Step-by-step explanation:

6 0
3 years ago
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Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
12345 [234]

Answer:

a movement one single movement cultivating one group

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Kent thinks that x+x and x2 are equivalent expressions because they each have a value of 4 when x=2. Which statement best demons
timofeeve [1]
Kevin is incorrect because x+x is adding two numbers, but x^2 is multiply.
3 0
3 years ago
The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of
alisha [4.7K]

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

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