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?

Answers

Answer 1

Answer: The first clue to this problem is that Bob has three kids in which the product of their ages is 72 and the sum is 14. From the factor tree, there are two combinations of the ages 2, 6, 6 and 3,3,8. Last thing he said is that his youngest is named Justice. One combination has similar number in the set which means there are twins. The youngest means there can be only one child. Hence the ages of the children are 2,6,and 6.

Related Questions

Heather sampled the ages of 50 randomly selected people that frequented a store and obtained a mean of 24. She constructed a 95% confidence interval which was (19.1, 28.9). What is the margin of error?A) 2.5 years B) 4.9 years C) 5 years D) 6.7 years
PLEASE ANSWER ASAP! YOUR ANSWER MUST CONTAIN AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER!!! THANKS!!!
When factored completely, the expression p^4 - 81 is equivalent to(1) (p^2 + 9)(p^2 - 9)(2) (p^2 - 9)(p^2 - 9)(3) (p^2 + 9)(p + 3)(p - 3)(4) (p + 3)(p - 3)(p + 3)(p - 3)
25a² - 16b² when a = --2 and b = 3
how much material was used in the manufacture of 24000 celluloid dice,if each dice has an edge 1/4 inches?

Two quadratic functions are shown.Function 1:
f(x) = 3x2 + 6x + 7 Function 2:

x g(x)
−2 13
−1 7
0 3
1 7

Which function has the least minimum value and what are its coordinates?
Function 1 has the least minimum value and its coordinates are (−1, 4).
Function 1 has the least minimum value and its coordinates are (0, 7).
Function 2 has the least minimum value and its coordinates are (−1, 7).
Function 2 has the least minimum value and its coordinates are (0, 3).

Answers

The right answer for the question that is being asked and shown above is that: "Function 2 has the least minimum value and its coordinates are (0, 3)." the function that has the least minimum value and what are its coordinates is that Function 2 has the least minimum value and its coordinates are (0, 3).

Answer:

function b has the least minumum and it is (0,3) I just took the test

Step-by-step explanation:

What it's the value of the expression 8 times 9-7+4 times 5

Answers

8 times 9 - 7 + 4 times 5

Use PEMDAS. Parentheses, Exponent, Multiply, Divide, Add, Subtract

Multiply:
8 times 9 = 72
4 times 5 = 20

72 - 7 + 20

Add:
72 + 20 = 92

Subtract:
92 - 7 = 85

8 times 9 - 7 + 4 times 5 is equal to 85.

The answer is 85 because you have to use PEMDAS

If f(x)=-5x^2-3x+4 what is the value of f(-1)
A:12
B:-2
C:2
D:-12
E:10

Answers

Answer:

Step-by-step explanation:

to evaluate f(- 1) , substitute x = - 1 into f(x)

f(x) = - 5x² - 3x + 4 , then

f(- 1) = - 5(- 1)² - 3(- 1) + 4 = - 5(1) + 3 + 4 = - 5 + 7 = 2

4 times the sum of 14 + 26

Answers

that means
4 times (4 times ) the sum (the quantity x+y to be named) of (times ) 14+26 (14+26)
4 times (14+26)
pemdas
paernthasees fors
14+26=40
4 times (40)=160

Translate to the inequality a number is at least 8 the answer is _,_,_ (use x the variable)

Answers

x≥8
So x has to be at the VERY LEAST 8, so it can be 8, that's what the line under the greater than sign equals, but it can't be less than 8 so you would need the greater than sign not the less than

Please Help!?!4. A data set has a variance of 42.

What is the standard deviation of the data set?

Round to the nearest tenth.

Question 5.5. What is the standard deviation of the data set? Round your answer to the nearest tenth.

6 4 9 5 5 4 5

(Points : 1)
1.6
1.7
5.4
5.0

Answers

Answer:

Step-by-step explanation:

(A) It is given that a data set has a variance of 42, then the standard deviation is given as:

$SD=√(variance)$

⇒ $SD=√(42)$

⇒ $SD=6.48$

Thus, the standard deviation of the given data set is 6.48.

(B) The given data set is:

6 4 9 5 5 4 5

Mean of the given data set is:

$Mean=(6+4+9+5+5+4+5)/(7)$

$Mean=(38)/(7)$

$Mean=5.42$

Data set $(x-\overline{x})^2$

6 0.33

4 2.01

9 12.81

5 0.17

4 2.01

5 0.17

The variance is given as:

$V=(0.33+2.01+12.81+0.17+0.17+2.01+0.17)/(7)$

$V=2.52$

Thus, the standard deviation is given as:

$SD=√(variance)$

⇒ $SD=√(2.52)$

⇒ $SD=1.6$

Hence, option A is correct.

Q4 . Standard deviation is square root of variance so, the standard deviation of the given data set is , $\sqrt { 42 }$ which is equal to 6.48074069841

Q5.5

To find the standard variation first find the mean of the set.

6+4+9+5+5+4+5 = 38

$\frac { 38 }{ 7 } =5.42$

Then we will subtract the mean from each number in the set, then will square that. Then we will add those all.

Solution is in the pic. Sorry if this was not explanatory enough.

Ask me if you wanna know more.

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