Translate the word phrase into a variable expression.

Find the equation of the line.

Grace [21]

Answer:

m: $-\frac{1}{3}$

Step-by-step explanation:

Pick two points (0,5) and (3,4)

use the formula to find slope: $\frac{y2-y1}{x2-x1}$

Insert values: $\frac{4-5}{3-0}$

m: $-\frac{1}{3}$

:-)

7 0

2 years ago

Help! im in class right now and dont have much time!

Hatshy [7]

Answer:

$\frac{1}{m^{8} }$

Step-by-step explanation:

$m^{-8} p^{0}$

$m^{-8} 1$ ∴Zero power of any number is equal to 1

$\frac{1}{m^{8} }$

6 0

2 years ago

Read 2 more answers

Elimination/subtraction

denpristay [2]

Answer:

x = 0, y = 7

Step-by-step explanation:

Solving a system of equations using substitution requires one side to be equal to a variable present in the equation, in this case x or y. We should simplify the equation using elimination before substituting to reduce the chance of error.

In order to use the elimination method, you have to create variables that have the same coefficient—then you can eliminate them. These equations arew already aligned for us.

3x - 10y=-70

-<u> 4x +9y = 63</u>

-x + y = 7

Now, for substitution, the equation must be set to a variable.

-x + y = 7

y = x + 7

Next, plug the equation in where applicable in another equation.

4x +9(x + 7) = 63

4x + 9x + 63 = 63

13x = 0

x = 0

The final step of substitution is to plug the known variable into an equation to find the other variable.

3(0) - 10y=-70

0 - 10y = -70

10y = 70

y = 7

I guarantee you this answer is correct, I worked it out using other methods and graphing prior to submitting this answer.

8 0

3 years ago

Read 2 more answers

This is a standard deviation contest. You must choose four numbers from the whole numbers 0 to 10 , with repeats allowed. (a) Ch

irina [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following instructions :

Choose 4 numbers from the whole numbers 0 - 10

Note : Repetition is allowed

Choose 4 numbers with the smallest possible standard deviation.

The smallest possible value of standard deviation obtainable is 0;

Hence in other to obtain a standard deviation value of 0, then;

The mean squared deviation value must be zero (0)

Σ(X - mean)^2 = 0

To achieve this, the values of X and the mean must be the same.

Hence all 4 numbers (X) must be the same in other to have a mean value which is equal to X

For instance :

If X = 3, 3, 3, 3 (since Repetition is allowed)

Man value = (3+ 3+ 3+ 3) / 4 = 12 / 4 = 3

Σ(3 - 3)² = 0 for all values of x

√Σ(x - mean)² / n = 0 ; if all values of x are the Same

n = Number of observations

A possible list of values is (3,3,3,3)

4 0

2 years ago

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob

miskamm [114]

Answer:

The probability is 28 % ( approx )

Step-by-step explanation:

Since, there are only two possible outcomes in every trails ( residents are in their forties or not ),

So, this is a binomial distribution,

Binomial distribution formula,

Probability of success in x trials,

$P(x)=^nC_x p^x q^{n-x}$

Where, $^nC_x=\frac{n!}{x!(n-x)!}$

p and q are probability of success and failure respectively and n is the total number of trials.

Let X be the event of resident who are in his or her forties.

Here, p = 12% = 0.12,

⇒ q = 1 - p = 1 - 0.12 = 0.88,

n = 9,

Hence, the probability that two or three of the people in the group are in their forties = P(X=2) + P(X=3)

$^9C_2 (0.12)^2 (0.88)^{9-2}+^9C_3 (0.12)^3 (0.88)^{9-3}$

$=36(0.12)^2 (0.88)^7+84(0.12)^3 (0.88)^6$

$=0.279266611163$

$\approx 0.28$

$=28\%$

7 0

3 years ago