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frez [133]
3 years ago
8

Analyze the statement below and complete the instructions that follow. If a month is June, then it has 30 days. Write the contra

positive of the statement above. A. If a month is not June, then the month has 30 days. B. If a month does not have 30 days, then the month is June. C. If a month is June, then the month does not have 30 days. D. If a month does not have 30 days, then the month is not June.
Mathematics
1 answer:
aleksley [76]3 years ago
6 0
Note first that several months have 30 days (each):  April, June and September.

(A) could not be correct, since the month in question could have 28, 29 or 31 days.

(B) See (A), above.  If the month in question does not have 30 days, then the month could NOT be April, June or September.  Reject (B).

(C) You do this one, similarly to my responses to (A) and (B), above.

(D) This one is true, since we know that June has 30 days.  If the month in question does NOT have 30 days, then that month could not possibly be June.
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Considering the number of questions incorrect from classmates on a quiz {10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19,
IrinaK [193]

Answer:

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

Step-by-step explanation:

We are given the following data in the question:

10, 11, 12, 13, 13, 13, 14, 15, 16, 16, 17, 18, 18, 19, 20

Formula:

\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.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{225}{15} = 15

Sum of squares of differences = 25 + 16 + 9 + 4 + 4+ 4 + 1 + 0+ 1+ 1 + 4 + 9 + 9+ 16 + 25 = 128

S.D = \sqrt{\dfrac{128}{14}} = 3.02

Empirical rule:

  • According to this rule almost all the data lies within three standard deviation of the mean for a normal distribution.
  • About 68% of data lies within one standard deviation of the mean.
  • About 95% of data lies within two standard deviations of mean.
  • Arround 99.7% of data lies within three standard deviation of mean.

Thus, by empirical rule,

\mu \pm 1\sigma = 15\pm (3.02) = (11.98,18.02)

According to the Empirical Rule, 68% of the data should fall between 11.98 and 18.02

5 0
2 years ago
I wander what the quadramatic fourmula is
Marrrta [24]
Definition of quadratic a formula
= a formula that gives the solutions of the general quadratic equation ax2 + bx + c = 0 and that is usually written in the form x = (-b ± √(b2 − 4ac))/(2a)
4 0
2 years ago
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Please answer and its math ​
Arte-miy333 [17]

one correct equation would be 2x=28 to depict the amount of money earned and then you would do 28/3 to find out the amount of money they each have after splitting the money they earned.

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3 years ago
Betty can mow a lawn in 20 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Betty and Bul
inn [45]

Answer:

  15 minutes

Step-by-step explanation:

Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.

Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.

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A Ferris wheel has a radius of 72 feet. What is the distance a passenger will travel one time around the Ferris Wheel
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31 seconds it will take to get around without it stopping
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