Admission to a museum is $7.10 per

What is the value of r (3,4), (-1,r),m=-3/4

Llana [10]

To find the value of r

We will follow the steps below

Usinf the equation of a slope:

slope(m) =

$m=\frac{y_2-y_1}{x_2-x_1}$

from the question given;

m= -3/4

x₁ = 3

y₁=4

x₂=-1

y₂=r

substituting the values into the slope formula

$\frac{-3}{4}\text{ = }\frac{r-4}{-1-3}$

we can now simplify and then solve for r

$\frac{-3}{4}\text{ = }\frac{r-4}{-4}$

cross-multiply

-3 x -4 = 4(r-4)

12 = 4(r-4)

Divide both-side of the equation by 4

$\frac{12}{4}\text{ = }\frac{4(r-4)}{4}$

3 = r - 4

add 4 to both-side of the equation

3+4 = r-4+4

7 = r

r=7

Therefore the value of r is 7

4 0

1 year ago

Pls help 10 pts<br> X =<br> 1<br> 3<br> 7

Black_prince [1.1K]

Answer:

3

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

How many randomly chosen guests should I invite to my party so that the probability of having a guest with the same birthday as

dimulka [17.4K]

Answer:

At least 401 chosen guests

Step-by-step explanation:

Represent those with same birth day with Same

So:

$P(Same) > \frac{2}{3}$

Represent number of people with n

There are 365 days in a year and 364 days out of these days is not your birthday.

So, there the probability that n people do not share your birthday is $(\frac{364}{365})^n$

i.e.

$P(none) = (\frac{364}{365})^n$

Solving further, we have that:

$P(same) + P(none) = 1$

$P(same) + (\frac{364}{365})^n = 1$

$P(same) = 1 - (\frac{364}{365})^n$

We're calculating the probability that $P(Same) > \frac{2}{3}$ .

So, we have:

$1 - (\frac{364}{365})^n > \frac{2}{3}$

Collect Like Terms

$1 - \frac{2}{3}> (\frac{364}{365})^n$

$\frac{3-2}{3}> (\frac{364}{365})^n$

$\frac{1}{3}> (\frac{364}{365})^n$

$3^{-1} > (\frac{364}{365})^n$

Take natural logarithm (ln) of both sides

$ln(3^{-1}) > ln((\frac{364}{365})^n)$

$-ln\ 3 > n\ ln\ (\frac{364}{365})$

Apply laws of logarithm

$-ln\ 3 > n\ (ln(364) - ln(365))$

Multiply through by -1

$ln\ 3 < n\ (ln(365) - ln(364))$

Solve for n

$\frac{ln\ 3}{(ln(365) - ln(364))} < n$

Reorder

$n > \frac{ln\ 3}{(ln(365) - ln(364))}$

$n > \frac{1.09861228867}{(5.89989735358 - 5.89715386764)}$

$n> \frac{1.09861228867}{0.00274348594}$

$n > 400.443928891$

$n > 400$ (approximated)

This implies that n = 401, 402, 403 .....

i.e

$n \geq 401$

So, at least 401 people has to be invited

5 0

3 years ago

Really Important!!! Plz help!!! Will make you the brainliest!! Mia creates a box plot using 28, 34, 40, 24, 44, 49, and 32 as th

insens350 [35]

The correct box plot will have the "whiskers" extending to 24 and 49. The first quartile will be around 28.5 and the third quartile will be around 41.8. The median will be at 34.

**your question didn't include the box plots to choose from, so use this information to find which one it is :)

3 0

3 years ago

Which complex number has an absolute value of 5?

defon

The answer would be -5

5 0

3 years ago