Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
The expected number of female children in a family with three children is 1.5.
The correct option is B.
We have to determine
What is the expected number of female children in a family with three children?
<h3>Probability;</h3>
Probability is defined as the sum of all observations and the number of observations.
The expected value of female children= Probability of female children x Total number of children.
A child can be male or female, so there are 2 combinations, the favorable outcome is female.
The probability of female children = 1/2.
Therefore,
The expected number of female children in a family with three children is;
Hence, The expected number of female children in a family with three children is 1.5.
To know more about probability click the link given below.
brainly.com/question/743546
He can buy 5 of the $3 nut and 1 of the $5 nuts.
5x3=15
5x1=5
15+5=20 and that’s less than 24.
So Jim can use $20 to buy the $3 one 5 times and the $5 one 1 time.
Answer:
0.79
Step-by-step explanation:
Use calculator and it is 0.7880107...
Rounds to 0.79 for nearest hundredth