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anzhelika [568]
3 years ago
13

Pamela's age is three times Jiri's age. The sum of their ages is 72. What is Jiri's age?

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

24

Step-by-step explanation:

72/3=24

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Given 4 coordinate points — A(2, 0), B(4, 0), C(5, –2), D(1, –2) â€" identify the figure showing a
babymother [125]

Answer:

Option B

Step-by-step explanation:

First we would identify the coordinates of the points before they are rotated.

A(2, 0), B(4, 0), C(5, -2), D(1, -2)

Plot a graph with the coordinates.

We find that the figure appears in the fourth quadrant.

Find attached the diagram.

To rotate the figure obtained by 180° about the origin zero, we would change the signs of the coordinates to become opposite.

That is positive sign becomes negative and vice versa:

A(-2, 0), B(-4, 0), C(-5, 2), D(-1, 2)

This implies that we rotated the figure 90° twice. When this is done, the figure would appear in second quadrant.

Plotting the new coordinates on a graph would give option B.

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3 years ago
Explain how you know the number of decimal places that should be in the product when you multiply two decimal numbers together.
Butoxors [25]
When you multiply a decimal with a decimal, you just multiply like you would with whole numbers. Then, you count the numbers to the right of the decimal for both multiplicand an multiplier. If the equation was 8.374 x 1.234, then you would put the decimal 6 spots to the left of the product. For the first step of solving this is just multiply like and decimal is not there. The answer would be 10333516. Then you count the number right of the multiplicand and the multiplier. In total there is 6 numbers, so you put the decimal 6 spots to the right. The end result would be 10.333516. Hope this helped!
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image Find the area of the kite with diagonals a = 12 and b = 9. Question 5 options: A) 108 B) 72 C) 54 D) 30
FromTheMoon [43]

Answer:

108

Step-by-step explanation:

Because the area formula is a*b and 12*9 is 180

So the answer is 180 which is A

I hope this helps :)

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3 years ago
3(2x + 5) 2 2(x + 6)
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Answer:

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Step-by-step explanation:

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3 years ago
The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5
Lorico [155]

Answer:

0.6672 is the required probability.            

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean \mu and standard deviation \sigma\sqrt{n}

Sample size, n = 37

Standard Deviation =

=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28

P(taxi and takeoff time will be less than 320 minutes)

P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)

Calculation the value from standard normal z table, we have,  

P(\sum x < 320) =0.6672 = 66.72\%

0.6672 is the probability  that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

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3 years ago
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