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artcher [175]
3 years ago
12

Can someone help me with these questions?

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0
1) 1, -2..for the first question
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A fitness club has two options, one for members and one for nonmembers. Members pay a one-time registration fee of $12 plus $8 p
Liula [17]

Answer:

See below.

Step-by-step explanation:

Let's look at the cost for members (C1) first.  Let x be the number of visits.

C1(x) = 12 + 8x

For non-members (C2), we can do the same.

C2(x) = 10x

You can graph these two equations.

x        C1         C2

0       12          0

1        20        10

2       28        20

3       36        30

4       44        40

5       52        50

6       60        60

7       68        70

Let's make the two equations equal, to find out where the benefit is the same.

12 + 8x = 10x

2x = 12

x = 6

Up to 5 visits, the non-member cost is better.  At 6 visits, there's the same price.  For more than 6 visits, the member cost is better.

7 0
3 years ago
What is 516.3606 rounded to the nearest hundredths
liraira [26]
516.36 because the thousandth digit isn't above 5 so you don't round up
6 0
3 years ago
Read 2 more answers
The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0
3 years ago
Someone please help me with problem #7 !!!
ser-zykov [4K]

Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

f(x)=a(x-2)(x-6)

Substituting in the coordinates of the vertex,

-4=a(4-2)(4-6)\\\\-4=-4a\\\\a=1

So, the equation is f(x)=(x-2)(x-6)

On expanding, we get f(x)=x^2 - 8x+12

3 0
2 years ago
A plane travels south for 120 km. The plane then travels north for 45 km.
umka2103 [35]

Answer:

displacement = 75 km

Step-by-step explanation:

the distance from final to initial point gives the displacement

displacement = 120 - 45

4 0
4 years ago
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