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3 years ago

I need help with number 3

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

So one month at silver gym and a class costs $55 in total. One month at fit factor and one class costs $85 in total.

In order to have the same prices for both gyms, Sarah would have to buy 2 personal training classes from silver gym. $25+ $30= $55+$30=$85. (The price of fit factor)

faust18 [17]3 years ago

5 0

8 (4 sessions from each gym)

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Translate this phrase into an algebraic expression.4 divided by the sum of a number and 12

zvonat [6]

Answer:

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Step-by-step explanation:

3 0

3 years ago

the sum of two numbers is 45. the greater number is 9 more than the other number. Find each number. use a system of linear equat

SpyIntel [72]

Answer:

18 and 27

Step-by-step explanation:

Let x = first (smaller) number

Let y = second (larger) number

Sum of two numbers is 45:

⇒ x + y = 45

The greater number is 9 more than the other number:

⇒ y = x + 9

Substitute y = x + 9 into x + y = 45 and solve for x:

⇒ x + (x + 9) = 45

⇒ 2x + 9 = 45

⇒ 2x = 36

⇒ x = 18

Substitute found value for x into y = x + 9 and solve for y:

⇒ y = 18 + 9

⇒ y = 27

Therefore, the two numbers are 18 and 27

5 0

2 years ago

Read 2 more answers

What is the inverse of the function f(x) = 2x + 1?

BaLLatris [955]

Answer:

$f^{-1} = \frac{x-1}{2}$

Step-by-step explanation:

$f(x) = 2x+1$

Replace it with y

$y = 2x+1$

Exchange the values of x and y

$x = 2y+1$

Solve for y

$x = 2y+1$

Subtracting 1 from both sides

$2y = x-1$

Dividing both sides by 2

$y = \frac{x-1}{2}$

Replace it by $f^{-1}$

So,

$f^{-1} = \frac{x-1}{2}$

3 0

3 years ago

Read 2 more answers

Please help! Brainliest will be given to first to answer

Nataly_w [17]

Answer:

100 residents/km2

Step-by-step explanation:

5×4 = 20 2,000÷20 = 100

6 0

3 years ago

Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i

vladimir1956 [14]

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable X be defined as the number of students at a particular college who are smokers

The random variable X follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

$np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10$

Thus, a Normal approximation to binomial can be applied.

So,

$X\sim N(\mu=600, \sigma=\sqrt{120})$

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

= P (X > 280.50)

$=P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z$

*Use a z-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

8 0

3 years ago