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3 years ago

(a) The Feelgood Gym has a monthly membership fee of $100 and it charges an addi-

Mathematics

1 answer:

Ierofanga [76]3 years ago

5 0

If I use the gym for x hours in a month, the total cost in terms of x will be 1000 + x.

a. Monthly membership fee = $100

Additional amount charged = $1 per hour.

If I use the gym for x hours in a month, the total cost in terms of x will be:

= 1000 + 1(x)

= 1000 + x

b. Also, if the amount charged is $35 per month and $3.50 per hour, the total cost will be:

= 35 + 3.50(x)

= 35 + 3.5x

c. The number of hours that will give same cost will be:

1000 + x = 35 + 3.5x

Collect like terms.

1000 - 35 = 3.5x - x

965 = 2.5x

x = 965/2.5

x = 386

In 386 hours, the total cost will be the same.

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Me.Durham is contemplating which chauffeured car service to the airport. The first costs $30 up front and $3 per kilometer. The

Semmy [17]

Answer: 45 dollars and it was a distance of 5 kilometers

Step-by-step explanation: What i did was start with 30, then keep adding 3 till i got the a multiple of 5.

30 + 3 = 33

33 + 3 = 36

36 + 3 = 39

39 + 3 = 42

42 + 3 = 45

So already i know that it is 5 kilometers, because i added 3 to 30 five times.

No i will do that with the second company

20 + 5 = 25

25 + 5 = 30

30 + 5 = 35

35 + 5 = 40

40 + 5 = 45

That is also 5 kilometers, because i added 5 to 20 five times. I also know they are the same price, because they both added to 45 dollars.

Thats how i solved it.

I really hope that helps!

8 0

3 years ago

What is the solution to the inequality |2n+5|>1?

Yuliya22 [10]

ANSWER

$n < - 3 \: or \: n> - 2$

EXPLANATION

The given inequality is,

$|2n + 5| \: > \: 1$

By the definition of absolute value,

$- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1$

We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

$2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 1$

We simplify now to get,

$2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 5$

$2n \: < \: - 6 \: or \: 2n \: > \: - 4$

Divide through by 2 to obtain,

$n \: < \: - 3 \: or \: n \: > \: - 2$

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3 years ago

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What is (4x+3)(x-7)=90

Ivan

It would be 16 i say

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3 years ago

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Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From

maksim [4K]

Answer:

The 95% CI for the difference of means is:

$-155.45 \leq \mu_1-\mu_2 \leq -44.55$

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size: 4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

$M_d=M_1-M_2=200-300=-100$

The standard deviation can be estimated as:

$\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45$

The degrees of freedom are:

$df=n_1+n_2-2=10+4-2=12$

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

$M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55$

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3 years ago

If an exam is 75 questions long, a 100% being the highest grade, and 79% and below is failing, how many questions can you miss i

natita [175]

It's a C +

You did a well!

Hope this helped!

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3 years ago

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