Using the function f(x) = 32 * (3/4)z, evaluate the following mentally.<br> f(3) =

A student's grade for the four quarters are 95, 83, 91, and 85. What does the student need to earn on the final exam to have an

gulaghasi [49]

Answer:

The least score the student can get is 71 to get an overall B average at the end of the year.

Step-by-step explanation:

Let the score she needs to get be = x

We now have to take the mean of all the five subjects <em>(including x)</em> and equate it to the least score she can have to get a B grade.

Let us take the least score the student needs to get a B grade to be 85

Mean of all 5 scores =

$\frac{95+83+91+85+x}{5}=85$

$\frac{354+x}{5} =85$

$354+x = 425$

$x = 71$

The least score the student can get is 71 to get an overall B average at the end of the year.

3 0

2 years ago

Gage's math teacher entered the seventh-grade student in a math competition. There was an enrollment fee of $30 and also $11 cha

Amanda [17]

Answer:

110 test

Step-by-step explanation:

Let

x ----> the number of packet of 10 test

y ----> the total cost

we know that

The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151

so

The linear equation that represent this scenario is

$y=11x+30$

we have

$y=\$151$

substitute

$151=11x+30$

Solve for x

subtract 30 both sides

$11x=151-30$

$11x=121$

Divide by 11 both sides

$x=11$

The number of packets purchase was 11

To find out the number of test, multiply the number of packets by 10

$11(10)=110\ test$

4 0

2 years ago

In a rectangular coordinate plane what is the distance between points (-3,0) and (3,8)

zheka24 [161]

To calculate the distance between two points, we can use a formula that is a variation Pythagorean Theorem. Look:

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

"d" represents the distance and coordinates are expressed as follows: (x, y)

Let's go to the calculations.

$\mathsf{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}\\\\ \mathsf{d=\sqrt{(3-(-3))^2+(8-0)^2}}\\\\ \mathsf{d=\sqrt{(3+3)^2+(8)^2}}\\\\ \mathsf{d=\sqrt{(6)^2+64}}\\\\ \mathsf{d=\sqrt{36+64}}\\\\ \mathsf{d=\sqrt{100}}\\\\ \underline{\mathsf{d=10}}$

The answer is 10 uc.

8 0

2 years ago

Find the equation of the line.

ki77a [65]

Hello,

2 points of the line: (2,0) and (0,3)

$\Delta\ y=3-0=3\\\Delta\ x=0-2=-2\\\dfrac{\Delta\ y}{\Delta\ x} =\dfrac{-3}{2} \\\\y-0=\dfrac{-3}{2}*(x-2)\\\\\boxed{y=-\dfrac{3x}{2}+3}\\$

3 0

2 years ago

Each of the statements contains a blunder. In each case, choose the statement that correctly explains the blunder. (a) "There is

Vikki [24]

Answer:

Correlation requires both variables to be quantitative.

Step-by-step explanation:

The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".

4 0

3 years ago

Using the function f(x) = 32 * (3/4)z, evaluate the following mentally. f(3) =