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3 years ago

10

Everyday fitness health club charges $18 per month, new members must pay a $60 fee. What is an equation to represent the relatio

nship between cost and number of months

1 answer:

aleksandr82 [10.1K]3 years ago

8 0

C = 18m + 60
if it’s slope intercept form you want

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Victor bought a computer for $1,800. He made a down payment of $200 and will pay the rest in 5 equal payments. If p represents t

Mrrafil [7]

Answer:

C

Step-by-step explanation:

4 0

3 years ago

Pls help me!!!! I'm stuck on how to solve this!!??

Luda [366]

Let A represent the value of the car after each year.
A= initial value (P)×(1+percent increase(r)) ^time
A=P×(1+r)^t
A=18710×(1+(-12%))^8
A=18710×(1-12%)^8
A=18710×(1-0.12)^8
A=18710×(0.88)^8
A= 6728.7619591115
The best approximation is 6729
Therefore the value of the car will be about $6729 after 8 years
Your answer is B.

6 0

2 years ago

Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.2.a. If the distri

zalisa [80]

Answer:

a

$P(\= X \ge 51 ) =0.0062$

b

$P(\= X \ge 51 ) = 0$

Step-by-step explanation:

From the question we are told that

The mean value is $\mu = 50$

The standard deviation is $\sigma = 1.2$

Considering question a

The sample size is n = 9

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{9} }$

=> $\sigma_x = 0.4$

Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_{x}} \ge \frac{51 - 50 }{0.4 } )$

$\frac{\= X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ \= X )$

$P(\= X \ge 51 ) = P( Z \ge 2.5 )$

=> $P(\= X \ge 51 ) =1- P( Z < 2.5 )$

From the z table the area under the normal curve to the left corresponding to 2.5 is

$P( Z < 2.5 ) = 0.99379$

=> $P(\= X \ge 51 ) =1-0.99379$

=> $P(\= X \ge 51 ) =0.0062$

Considering question b

The sample size is n = 40

Generally the standard error of the mean is mathematically represented as

$\sigma_x = \frac{\sigma }{\sqrt{n} }$

=> $\sigma_x = \frac{ 1.2 }{\sqrt{40} }$

=> $\sigma_x = 0.1897$

Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

$P(\= X \ge 51 ) = P( \frac{\= X - \mu }{\sigma_x} \ge \frac{51 - 50 }{0.1897 } )$

=> $P(\= X \ge 51 ) = P(Z \ge 5.2715 )$

=> $P(\= X \ge 51 ) = 1- P(Z < 5.2715 )$

From the z table the area under the normal curve to the left corresponding to 5.2715 and

=> $P(Z < 5.2715 ) = 1$

So

$P(\= X \ge 51 ) = 1- 1$

=> $P(\= X \ge 51 ) = 0$

5 0

2 years ago

Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96

inessss [21]

Answer:

it will take her 16 days

Step-by-step explanation:

4 0

3 years ago

What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?

oksian1 [2.3K]

3y=6+x
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)

5 0

3 years ago