Answer:
Step-by-step explanation:
Let Sue's age = x
Leah's age = x + 6
John's age= Leah's age + 5 = (x+6) + 5 = x + 11
Sum of their ages = 41
x + (x+6) + ( x+11 ) = 41
x + x+6 +x +11 = 41
3x + 17 =41
3x = 41 -17
3x = 24
x = 24/3
x =8
Sue's age = 8 years
Answer:
D. 16,384
Step-by-step explanation:
The given sequence (including "6") is neither arithmetic nor geometric. The 14th term cannot be predicted. (It can be anything you like.)
__
Based on the answer choices, we assume the intended sequence is the geometric sequence ...
2, 4, 8, 16, 32, ...
which has formula ...
an = 2^n
Then the 14th term is ...
a14 = 2^14 = 16,384
Answer:
2 liters of orange juice
Step-by-step explanation:
We know that Gaby drank 3/4 liters of juice
3/4 liters is the same as saying 0.75 liters
3/4 = 0.75
if 0.75 is 3/8 of the container we just have to divide it by 3 and multiply it by 8 and so we will get the liters of the container
(0.75/3) * 8 =
0.25 * 8 =
2
then initially in the container there were 2 liters of orange juice
Using weighted average, it is found that she should score 67% on the computer science test.
- The weighted average is given by <u>each proportion multiplied by it's score</u>.
In this problem, the proportions and scores are given by:
- Proportion of 32% = 0.32 for a score of 300.
- Proportion of x for a score of 200.
- Proportion of 46% = 0.46 for a score of 300 + 200 = 500.
Then
She should score 67% on the computer science test.
A similar problem is given at brainly.com/question/24855677
Answer:
0.11
Step-by-step explanation:
Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6
The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4
Given n = 10, we want to determine P(x = 4)
From the binomial distribution calculator,
P(x = 4) = 0.11
