One hundred thirty people were asked to determine how many cups of fruit and water they consumed per day. The results are shown in the frequency table. Identify the conditional relative frequency by row. Round to the nearest percent. The conditional relative frequency that someone ate more than 2 cups of fruit, given the person drank less than or equal to 4 cups of water is approximately . The conditional relative frequency that someone ate less than or equal to 2 cups of fruit, given the person drank more than 4 cups of water is approximately .

Answer:

m = -3

Step-by-step explanation:

Slope Formula:

Simply plug in our coordinates to find slope:

m = (11 - 2)/(5 - 8)

m = 9/-3

m = -3

Answer: $5661 will be in the account 10 years later

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 5000

r = 1.25% = 1.25/100 = 0.0125

n = 1 because it was compounded once in a year.

t = 10 years

Therefore,

A = 5000(1 + 0.0125/1)^1 × 10

A = 5000(1.0125)^10

A = 5000(1.0125)^10

A = $5661

This can be determined  by  method of system of linear equation. Therefore, the correct option is D i.e. (-1,3) where, x= -1  and y = 3.

Given :

                                                      ...(1)  

                                                    ...(2)

To  obtain the value of x and y,

From equation (1)  find the value of y

                                                       ...(3)

put this value in (2) and solve it further,

                                        ...(4)

Put the value of x=-1 in equation (3),

Thus we get,

,

Therefore, the correct option is D i.e. (-1,3) where, x= -1  and y = 3.

For further details, please prefer this link:

brainly.com/question/13631560

Good morning Sonny

y-4x=7

2y+4x=2

We need to solve -4x+y=7 for y

Now let's start by adding 4x to both sides

-4x+y+4x=7+4x

y=4x+7

Now substitute 4x+7 for y in 4x+2y=2 so we can find the value for x

4x+2y=2

4x+2(4x+7)=2

12x+14=2

Add -14 to both sides

12x=14-14=2-14

12x=-12

Now divide 12 to both sides so we can find x

12x/12=-12/12

x=-1

Now we need to find the value for y by substitute -1 for x in y=4x+7

y=4x+7

y=(4)(-1)+7

y=3

Work done ;)

Answer : x=-1 and y=3

               (-1,3)

                D

I hope that's help :0

Answer:

Dimensions of rectangle are length = 7 cm and width = 2 cm

Step-by-step explanation:

Let l = length and w = width of the rectangle.

Given that, length is 5 cm less than 6 times width. Rewriting it in equation form,

L =  6 w - 5  cm

Also given that area of rectangle is 14 cm²

Now using formula for area of rectangle,

Area of rectangle = length × width

Area of rectangle = l × w

Substituting the values,

14 = (6 w - 5) × w

Simplifying by using distributive rule,

14 = 6 w² - 5 w

To find the value of b, use the quadratic formula. So rewriting the equation in quadratic form ax²+bx+c=0

Subtracting 14 on both sides,

0 = 6 w² - 5 w - 14

Rewriting,

6 w² - 5 w - 14  = 0

Now applying quadratic formula,

Rewriting the formula in terms of w,

From the 6 w² - 5 w - 14  = 0, value of a = 6 , b = - 5 and c = - 14.

Substituting the values,

Simplifying,

Since √361 = 19,

There will be two values of w,

and

Simplifying,

and

and

Reducing the fraction in lowest form, divide first expression by 12 and second expression by 2.

and

Since the length of width cannot be negative, so value of w = 2 cm

To find the value of length, Use equation L =  6 w - 5  cm

L =  6 (2) - 5  cm

L =  12 - 5  cm

L =  7  cm

Therefore l = 7 cm and w = 2 cm are the dimensions of the rectangle.