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g100num [7]
2 years ago
12

Annie has a $50 gift card for a restaurant and arcade. Annie spent $23.75 on food and is ready to play games in the arcade each

game cost $1.25. How many arcade games can annie play? ​
Mathematics
1 answer:
Stells [14]2 years ago
4 0

Answer:

21

Step-by-step explanation:

50 - 23.75 = 26.25

26.25 ÷ 1.25 = 21

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When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
Gnom [1K]

Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

6 0
2 years ago
Consider a population consisting of the number of teachers per college at small 2-year colleges. Suppose that the number of teac
agasfer [191]

Answer:

a) \frac{8}{9} =0.89

b) 0.8413

Step-by-step explanation:

we know that

P(║ x -\mu║ \leq  k\sigma) \geq 1 -\frac{1}{k^2}

so, \mu = 150, \sigma = 20

k =  \frac{210 - 150}{20} =\frac{150 - 90}{20} = 3

P(║ x -150 ║ \leq  3\times 20) \geq 1 -\frac{1}{3^2} = \frac{8}{9}

x - N(150, 20^2)

P(X \leq 170) = 0.8413447

check

P norm = \frac{170 - 150}{20}= 0.8413447

8 0
3 years ago
Write the sentences as proportion. Twelve hundredths is to three as twenty-four hundredths is to eight
ValentinkaMS [17]

Answer:

see the explanation

Step-by-step explanation:

Remember that

A proportion is the ratio (quotient) between two numbers

so

Twelve hundredths to three is ----> \frac{0.12}{3}

Twenty-four hundredths to eight ----> \frac{0.24}{8}

therefore

Twelve hundredths is to three as twenty-four hundredths is to eight

\frac{0.12}{3}=\frac{0.24}{8}

Note The proportion is not true

3 0
2 years ago
If the two lines 2x + y= 0 and y=3 are plotted on a typical xy coordinate grid, at which point will they intersect?
irina1246 [14]
2x + y = 0
2x + 3 = 0
      - 3  - 3
      2x = -3
       2      2
         x = -1¹/₂
(x, y) = (-1¹/₂, 3)
5 0
3 years ago
Read 2 more answers
How to expand the number 2,937,082​
denis-greek [22]
2x1,000,000
9x100,000
3x10,000
7x1,000
0x100
8x10
2x1
7 0
2 years ago
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