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enot [183]
3 years ago
9

Mark’s brother is five years older than Mark. Their combined ages add up to 23. How old is Mark? Write an equation to help you s

olve.

Mathematics
1 answer:
Tema [17]3 years ago
7 0
Should be this .. hoped this helped:)

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In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop
steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

5 0
3 years ago
Multiples of 8 and 2
jarptica [38.1K]
16,24,32,40.48,56,64,72,80,88

7 0
3 years ago
Read 2 more answers
What is the best description of the relation in Item 2?
ser-zykov [4K]

Answer:

Step-by-step explanation:

a relation that is not a function

8 0
2 years ago
For f(x), evaluate the following: a. f(0), b. f(6) and show all of your work. // I've attached the function below.
12345 [234]

Answer:

a. f(0) = 4

b. f(6) = 8

Step-by-step explanation:

This is a piecewise function, so the actual equation is on the left, and the inequalities are on the right.

If x = 0, this would fall under the first part of the function because x < 5 is the requirement for the first part. Then, evaluating it: f(0) = 0 + 4 = 4.

If x = 6, this would fall under the second part of the function because 5 \leq x < 7 is the requirement. 6 falls under this category, so that means the second part of the function is used. Because it is a constant, 8, this evaluates to f(6) = 8.

3 0
2 years ago
-(x-4)=2x+6 <br><br> please show ur work too ill give brainiest + points
Olin [163]

Answer:

this is the answer, sorry it took a while

4 0
3 years ago
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