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Natasha2012 [34]
3 years ago
15

Bob and Mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum

of the ages of his children. Mark points out that there is still not enough information to accurately guess. Finally, Bob says, "My youngest child called Justice." Mark can then correctly determine the ages of Bob's children. What are the ages?
Mathematics
2 answers:
Aloiza [94]3 years ago
5 0
All there ages is 24 all together because if you divide 72/3 you get 24 then multiply it by 3 you will get 72
VARVARA [1.3K]3 years ago
3 0
Bob must have said that the sum of the ages of the children is 14. There are two sums that are 14. The children could be 2, 6, and 6 or the children could be 3, 3, and 8. The third clue says that the youngest child is called Justice. This implies that the two youngest must not be the same age. The youngest must have a distinct age different from the others. This means that the children can't be 3, 3, and 8 because the two youngest would be the same age. The ages must therefore be 2, 6, and 6, making only the youngest having a distinct age of 2. If the sum of the ages was any other sum, 39, 23, 18, 28, 17, 15, 13, or 22, then Mark could have determined the ages without any more clues. I learned this in math last year.    
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Find the mean of the integers
mrs_skeptik [129]

We need to find mean of given integers.

We have -16,39,-10,-16,12,31.

In order to find mean, we need to add all the given inetgers.

Therefore, putting plus sign in between integers.

-16+ 39+ (-10)+(-16)+12+31 .

We will add all positive number 39+12+31 = 82

We will add all negative numbers by negative numbers, -16-10-16 = -42.

Therefore,  -16+ 39+ (-10)+(-16)+12+31  = 82 - 42 = 40.

We have given total 6 integers.

So, in order to find the mean, we need to apply following formula

Mean = \frac{Sum \ of \ all \ number }{Total \ numbers}

We get,

Mean = 40/6 = 6.66666......

We can round it to 6.67.

Therefore, mean of the given integers = 6.67 (approximately) .


4 0
3 years ago
What the answers for those questions
Minchanka [31]

The answers are

11. c) 7x² +5x +8 remainder 7.

12. d) 6x² -6x +3 remainder 2x.

Step-by-step explanation:

Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.

Step 2; By dividing 6x^{4} +0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6x^{4} +6x³. We subtract this from 6x^{4} +0x³ and get -6x³. Now we add this with the -3x² in 6x^{4} +0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.

4 0
3 years ago
The graphs show four exponential functions, each with equation y= ab. If a > 1 and b > 1, then which of the four could be
Zarrin [17]

Answer:

it is a

Step-by-step explanation: it took that already

4 0
3 years ago
The diameter of a cylinder is 3 yd. The height is 8 yd. Find the volume of the cylinder
timama [110]

Answer:

im not completely sure but i think its 56.55

sorry if its wrong:/

Step-by-step explanation:

7 0
2 years ago
"A sample of 30 randomly selected oranges was taken from a large population, and their diameters were measured. The mean diamete
Yuki888 [10]

Answer:

The lower bound of the interval is 88.9mm and the upper bound is 93.1mm.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.075 = 0.925, so z = 1.44

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.44*\frac{8}{\sqrt{30}} = 2.1

The lower end of the interval is the sample mean subtracted by M. So it is 91 - 2.1 = 88.9mm.

The upper end of the interval is the sample mean added to M. So it is 91 + 2.1 = 93.1 mm

The lower bound of the interval is 88.9mm and the upper bound is 93.1mm.

6 0
3 years ago
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