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noname [10]
2 years ago
7

The dad has a son and a daughter. The daughter is 19 years younger than the son. The son is 13 years younger than the dad (Don't

ask, just keep reading.) The daughter is 21 years old now. How old is the dad?
Dad - 13 years older than son
Son - 19 years older than daughter
Daughter - 21 years old
Mathematics
2 answers:
Ivenika [448]2 years ago
6 0

Answer:

53

Step-by-step explanation:

Elis [28]2 years ago
5 0

Answer:

The Dad is 53

Step-by-step explanation:

21 + 19 = 40 ( Brothers age )

40 + 13 = 53 (Dads age )  

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Find the mean, Find the median,<br> mode, and range <br> of each Data set 46, 35, 23, 37, 29, 53, 43
g100num [7]

Answer: mean- 38

median- 37

mode- no mode

range- 30

Step-by-step explanation:

5 0
3 years ago
For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean
ki77a [65]

Answer:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu=?,\sigma=?)  

We are interested on this probability

P(X>X+3\mu)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

And we can find the following probablity:

P(Z>3) = 1-P(Z

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0
3 years ago
Given the functions f(x) = 2x -1 and g(x) =
Novosadov [1.4K]

Answer:

Please check the explanation.

Step-by-step explanation:

Given

  • f(x) = 2x - 1
  • g(x) =  2 - x

a)

f(x) + g(x) = (2x - 1) + (2 - x)

                = 2x -1 + 2 - x

                = x + 1

b)

f(x) - g(x) = (2x - 1) - (2 - x)

              = 2x - 1 - 2 + x

               = 3x - 3

c)

g(-5) - f(-5)

Putting x = -5 in g(x) = 2 - x

g(x) = 2 - x

g(-5) = 2 - (-5) = 2+5 = 7

Putting x = -5 in f(x) = 2x - 1

f(x) = 2x - 1

f(-5) = 2(-5) - 1

       = -10 - 1

        = -11

Thus,

g(-5) - f(-5) = 7 - (-11) = 7+11 = 18

d)

f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2

e)

f(g(x)) = f(2-x)

          = 2(2-x)-1

          = 4-2x-1

          = 3-2x

6 0
3 years ago
Which is the equation of the given line (4,3) (4,-2)
sineoko [7]
The equation of the line is x=4
3 0
3 years ago
Read 2 more answers
Need answers ASAP pls!!
dezoksy [38]

Answer:

<em>Good Luck!</em>

Step-by-step explanation:

7 0
2 years ago
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