The total age of the three children are = 37years
<h3>Calculation of the total age of children</h3>
The product of the ages of three children is = 1872.
Let take child 1 = x
child 2 = x
child. 3 = x
Therefore, the age of three children = x³= 1872
Therefore;
![x = \sqrt[3]{1872}](https://tex.z-dn.net/?f=%20x%20%3D%20%20%5Csqrt%5B3%5D%7B1872%7D%20)
X = 12.32448
The age of the middle child = 12.32448 + 12.32448
= 24.64896/2
= 12.32448
Therefore the sum of their ages = 12.32448 + 12.32448 + 12.32448 = 37years.
Learn more about age calculation here:
brainly.com/question/2744275
Answer:
Step-by-step explanation:
For f(2), the input of the function is 2.
Let x = 2.
Evaluate.
Hey there!
<em>C = 0.25x + 40</em>
(a) For this part we solve for C when x = 240. Substitute 240 in for x.
C = 0.25(240) + 40
Multiply 240 by 0.25.
C = 60 + 40
Add.
C = 100
The cost is $100.
<u>Check</u>
100 = 0.25(240) + 40
100 = 60 + 40
100 = 100
(b) For this part we solve for x when C = 180. Substitute 180 for C.
180 = 0.25x + 40
Subtract 40 from each side.
140 = 0.25x
Divide each side by 0.25.
560 = x
This person drove 560 miles.
<u>Check</u>
180 = 0.25(560) + 40
180 = 140 + 40
180 = 180
(c) For this we must make an inequality with C = 150.
Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.
C ≥ 0.25x + 40
Substitute 150 for C. Solve for x.
150 ≥ 0.25x + 40
Subtract 40 from each side.
110 ≥ 0.25x
Divide each side by 0.25.
440 ≥ x
The max number of miles they can drive is 440.
<u>Check</u>
150 ≥ 0.25(440) + 40
150 ≥ 110 + 40
150 ≥ 150
Hope this helps!
Answer:
0.0004158
0.00041581
Step-by-step explanation:
Given that :
Number of Questions Correct
Probability for Guessing Correctly
0
0.05631351
1
0.18771172
2
0.28156757
3
0.25028229
4
0.14599800
5
0.05839920
6
0.01622200
7
0.00308990
8
0.00038624
9
0.00002861
10
0.00000095
Probability of answering 8 or more questions correctly ;
Direct sum:
P(x ≥ 8) = p(8) + p(9) + p(10)
P(≥ 8) = 0.00038624 + 0.00002861 + 0.00000095
= 0.0004158
Complement :
P(x ≥ 8) = 1 - p(x ≤ 7)
1 - [p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)]
1 - [0.00308990 + 0.01622200 + 0.05839920 + 0.14599800 + 0.25028229 + 0.28156757 + 0.18771172 + 0.05631351]
1 - 0.99958419
= 0.00041581
Answer: sorry I need points :l
Step-by-step explanation:
