The distance from the

Let X be a normal random variable with mean 40 and standard deviation 2. Find P(X < 28).

Vikki [24]

Answer:

0

Step-by-step explanation:

Given :

Mean = 40 ; Standard deviation = 2

P(x < 28)

Obtain the Zscore :

Z = (x - mean) / standard deviation

P(Z < (28 - 40) / 2))

Z = (28 - 40) / 2

Z = - 12 / 2

Z = - 6

P(Z < - 6) = 0.000000

5 0

2 years ago

Write the expresion in simplest form (-11/2x+30)-2(-11/4x-5/2)

qwelly [4]

The simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

<h3>How to simplify the expression?</h3>

The expression is given as:

(-11/2x+30)-2(-11/4x-5/2)

Expand the bracket

-11/2x + 30 + 11/2x + 5

Collect the like terms

11/2x -11/2x + 30 + 5

Evaluate the like terms

35

Hence, the simplified expression of (-11/2x+30)-2(-11/4x-5/2) is 35

Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0

1 year ago

I have to get this so I pass help plz

pshichka [43]

Answer:

$\boxed{\sf x=-2}$

$\boxed{\sf y=-4}$

Step-by-step explanation:

First, Let's solve for x in -2x+2y=-4:

$\sf -2x+2y=-4$

Subtract 2y from both sides:

$\sf -2x+2y-2y=-4-2y$

$\sf -2x=-4-2y$

Divide both sides by -2:

$\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}$

$\bold{ x=y+2}$

Now, we'll substitute x=y+2 to 3x+3y=-18:

$\sf 3x+3y=-18$

→ let x=2+y

$\sf 3\bold{(2+y)}+3y=-18$

Simplify:

$\sf 6+6y=-18$

Now, let's solve for y in 6+6y=-18

$\sf 6+6y=-18$

Subtract 6 from both sides:

$\sf 6+6y-6=-18-6$

$\sf 6y=-24$

Divide both sides by 6:

$\sf \cfrac{6y}{6}=\cfrac{-24}{6}$

$\bold{ y=-4}$

Now, substitute y=-4 into x=2+y:

$\sf x=2+y$

→ let y = -4

$\sf x=2+\bold{-4}$

$\bold{x=-2}$

Therefore, x=-2 and y=-4.

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5 0

2 years ago

Fairview auto repair originally paid its mechanics $20 per hour. Now that there is a new owner, the mechanics make 5% less. How

sattari [20]

Answer:

The new amount paid to mechanics per after by new owner is $ 19 Answer

Step-by-step explanation:

Given as :

The amount paid to mechanics initially = $ 20 per hour

Now, The new owner paid less at the rate = 5%

Let the amount paid to the mechanics after 5 % less = x per hour

So, According to question

The new amount paid to mechanics per hour = initial amount paid per hour × ( 1 - $\frac{rate}{100}$ )

or, The new amount paid to mechanics per hour = $ 20 × ( 1 - $\frac{5}{100}$ )

I.e The new amount paid to mechanics per hour = $ 20 × 0.95

∴ The new amount paid to mechanics per hour = $ 19

Hence The new amount paid to mechanics per after by new owner is $ 19 Answer

7 0

3 years ago

GAMING In a video game, the user navigates a character across an unknown land using a map. On the map, the distance between the

soldi70 [24.7K]

The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

<h3>How to calculate the actual distance</h3>

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

$Total =2cm + 8cm + 7cm$

$Total =17cm$

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

$B' =4km$

So, we have:

$Scale = B : B'$

$Scale = 8cm : 4km'$

Represent the required actual distance with x.

So, we have:

$17cm : x = 8cm : 4km$

Express as fraction

$\frac{x}{17} = \frac 48$

Multiply both sides by 17

$x = \frac 48 * 17$

$x = 8.5$

Hence, the actual distance travelled is 8.5 km