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4 years ago

6

Solve the given system. y = x 20 y = 6x

1 answer:

adelina 88 [10]4 years ago

8 0

If you would like to solve the following system, you can calculate this using the following steps:

y = x - 20
y = 6 * x
_________
6 * x = x - 20
6 * x - x = -20
5 * x = -20 /5
x = -4

y = 6 * x = 6 * (-4) = -24

If you would like to solve the following system, you can calculate this using the following steps:

y = x + 20
y = 6 * x
_________
6 * x = x + 20
6 * x - x = 20
5 * x = 20 /5
x = 4

y = 6 * x = 6 * 4 = 24

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if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o

lapo4ka [179]

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

4 0

3 years ago

Find the inverse of f(x)=−3/2x+7/2.

timama [110]

Answer: $f^{-1}(x)=-\frac{2}{3}x+\frac{7}{3}$

Step-by-step explanation:

To find the inverse of a function, you want to replace x with y and y with x. Then, you solve for y.

$y=-\frac{3}{2}x+\frac{7}{2}$ [replace y with x and x with y]

$x=-\frac{3}{2}y+\frac{7}{2}$ [subtract both sides by 7/2]

$x-\frac{7}{2} =-\frac{3}{2}y$ [multiply both sides by -2/3]

$-\frac{2}{3} (x-\frac{7}{2} )=y$ [distribute]

$y=-\frac{2}{3}x+\frac{7}{3}$

Now, we have our inverse function.

$f^-^1(x)=-\frac{2}{3}x+\frac{7}{3}$

7 0

3 years ago

PLEASE HELP GUYS !!!

crimeas [40]

Answer:

y = -3/2x + 3

y = x + 1

y = 5/4x - 2

4 0

3 years ago

Read 2 more answers

Enter the decimal 1.81 repeating as an improper fraction in simplest form.

Elodia [21]

Answer:

1 9/11

Step-by-step explanation:

1.81 repeating is the equivalent to 1 9/11

6 0

3 years ago

| f − 6 | = | f + 8 |

ikadub [295]

Answer:

f = - 1

Step-by-step explanation:

f - 6 = f + 8

f - 6 = - (f + 8)

f ∈ ∅

f - 6 = - (f + 8)

8 0

3 years ago