Which estimate best describes the area under the curve in square units?

Pls solve this proportion <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}"

Nostrana [21]

Answer:

c = 15/2

Step-by-step explanation:

Multiply both sides of the equation by 9, then reduce the fraction.

9(5/6) = c

15/2 = c

_____

Alternate methods

You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...

9(5) = 6(c)

Then you would divide by the coefficient of c to get ...

(9·5)/6 = c = 15/2

__

Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.

__

The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...

18(5/6) = 18(c/9)

15 = 2c

Now, dividing by the coefficient of c gives ...

15/2 = c

6 0

3 years ago

HELP PLESSE ITS MULTIPLE CHOICE

Andrew [12]

Answer:

<h2>Letter A</h2>

Step-by-step explanation:

First of all, we have to solve all the equations

First one is (4*1)-6

We have to use PEMDAS

which stands for

Parenthesis

Exponents

Multiplication

Divison

Addition

Subtraction

In (4*1)-6

You have to do 4*1 first ~ which equals 4

the next step would be 4-6 ~ which equals -2

The next equation would be (1*4)-6

First do 1*4 ~ which is 4

Next 4-6 ~ which again equals -2

Next equation is (1*6)-(4-6)

Parenthesis first, 1*6=6

4-6=-2

6-(-2)

which equals 8

Our next equation is 6-(1*4)

1*4=4

6-4~ which equals 2

Our last equation is 4*(1-6)

Parenthesis comes first, so it would be 1-6 first

which equals -5

4*(-5) would be our final step ~ which equals -20

All of our answers would be

-2 - from the top equation

-2 - from letter A

8 - from letter B

2 - from letter C

-20 - from letter D

which means Letter A is the answer.

Hope this is helpful.

5 0

2 years ago

At the movie theatre, child admission is $5.20 and adult admission is $9.00 . On Saturday, 156 tickets were sold for a total sal

stiks02 [169]

We can solve this by using systems of equations.

Let's find our first formula, how much money was made using the tickets.

$5.20x + 9y = 1027.80$

Here x is how many child tickets we sold and y is how many adult tickets we sold. Now that we have defined that, we can make another formula for the total tickets sold!

$x + y = 156$ since we sold 156 tickets that could be any combination of child and adult tickets.

Let's solve this system. I'm going to use substitution so I'm going to take our second formula and subtract both sides by x to get $y = 156 - x$ .

Now I will plug this in the first equation for y to get You plug it in for y to get $5.20x + 9 (156-x) = 1027.8.$

From this you can solve for x to get $x = 99$ .

Since $x + y = 156$

$99 + y = 156$

$y = 57$

There were 99 child tickets and 57 adult tickets.

3 0

3 years ago

Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. T

anyanavicka [17]

Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055$

0.055 = 5.5% probability that exactly 5 employees were over 50.

5 0

2 years ago

(-10,2) (-5,-1) find mid point

zmey [24]

The Mid - point of the line segment is at coordinates - M(- 7.5, 0.5)

We have two coordinate points - A(- 10, 2) and B(- 5, -1)

We have to find the midpoint of this line AB.

<h3>What is Mid - Point Theorem?</h3>

It states that a line with endpoint coordinates as - $(x_{1} ,y_{1} )$ and $(x_{2} ,y_{2} )$ has its mid - point at the coordinates -

$(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{(y_{1} +y_{2} )}{2} )$

According to question, we have -

First coordinate Point - $(x_{1} ,y_{1} )$ = (- 10, 2)

Second coordinate Point - $(x_{2} ,y_{2} )$ = (- 5, - 1)

Using the Mid - Point formula, we get -

$(x_{M} ,y_{M} ) =( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )$ =

$x_{M} = \frac{-10-5}{2} = \frac{-15}{2} = - 7.5\\\\y_{M} = \frac{2 - 1}{2} = \frac{1}{2} = 0.5$

Hence, the Mid - point of the line segment is at coordinates -

M(- 7.5, 0.5)

To solve more questions on Mid - points, visit the link below -

brainly.com/question/25377004

#SPJ1

5 0

1 year ago