Ask question

Ask question

All categories

3 years ago

8

At a local fitness center members pay a a $ 14 membership fee and $ 2 for each aerobics class. Nonmembers pay $ 4 for each aerob

ics class. For what number of aerobic classes will the cost for members and nonmembers be the same?

1 answer:

mestny [16]3 years ago

8 0

14+2x=4x: divide 2x on each side

14=2x: divide by 2

7=x

7

You might be interested in

HELP PLS GIVING BRAINLIEST

Setler79 [48]

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

$y = mx+b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

$(0,1)\\(1, -2)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3$

So, the equation is of the form:

$y = -3x + b$

We substitute a point to find "b":

$1 = -3 (0) + b\\1 = b$

Finally, the equation is:

$y = -3x+1$

Answer:

Option C

8 0

3 years ago

The bakers at the healthy bakery can make 160 bagels in 10 hours how many bagels contain make in 16 hours

Oxana [17]

Answer:

256

Step-by-step explanation:

divide 160 by 10 to get the bagels per hour then times 16

3 0

2 years ago

What is the value of st divided by (6r) if r =5 and t =45

SVEN [57.7K]

Write "st div. by 6r" as

st
-------
6r
45s 15s 3s
If r =5 and t = 45, but s is unknown, then we get --------- = --------- = -------
6(r) 2(5) 2

8 0

3 years ago

Find c.<br> C<br> 6.<br> 8<br> C =<br><br> Please help

nataly862011 [7]

Answer:

10

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

8^2 + 6^2 = c^2

64+36 = c^2

100 = c^2

Take the square root of each side

sqrt(100) = sqrt(c^2)

10 = c

3 0

3 years ago

Show that if X is a geometric random variable with parameter p, then

Lubov Fominskaja [6]

Answer:

$\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}$

Step-by-step explanation:

The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"

$P(X=x)=(1-p)^{x-1} p$

Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:

$X\sim Geo (1-p)$

In order to find the expected value E(1/X) we need to find this sum:

$E(X)=\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}$

Lets consider the following series:

$\sum_{k=1}^{\infty} b^{k-1}$

And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:

$\int_{0}^b \sum_{k=1}^{\infty} r^{k-1}=\sum_{k=1}^{\infty} \int_{0}^b r^{k-1} dt=\sum_{k=1}^{\infty} \frac{b^k}{k}$ (a)

On the last step we assume that $0\leq r\leq b$ and $\sum_{k=1}^{\infty} r^{k-1}=\frac{1}{1-r}$ , then the integral on the left part of equation (a) would be 1. And we have:

$\int_{0}^b \frac{1}{1-r}dr=-ln(1-b)$

And for the next step we have:

$\sum_{k=1}^{\infty} \frac{b^{k-1}}{k}=\frac{1}{b}\sum_{k=1}^{\infty}\frac{b^k}{k}=-\frac{ln(1-b)}{b}$

And with this we have the requiered proof.

And since $b=1-p$ we have that:

$\sum_{k=1}^{\infty} \frac{p(1-p)^{k-1}}{k}=-\frac{p ln p}{1-p}$

4 0

3 years ago