Which of the following is a solution of x2 + 5x = −2? (2 points)

A report revealed that the average no. of months that an employee stays in a factory is 36 months. Assuming that

Masja [62]

Answer:

a) P [X ≥ 30 ] = 0,8413 or 84,13%

b) P [X < 24] = 0,0228 or 2,28 %

c) P [ 24 < X < 48 ] = 0,9544 or 95,44%

Step-by-step explanation:

z = ( X - μ₀ )/σ

μ₀ the mean ( average no. of months that an employee stay in a factory)

σ standard deviation

a) P [X ≥ 30 ] = 1 - P [X < 30 ]

P [X < 30 ]

We look for z (score)

z = ( X - μ₀ )/σ ⇒ z = 30 - 36 / 6

z = - 1

From z table we get for -1

P [X < 30 ] = 0,1587

And

P [X ≥ 30 ] = 1 - P [X < 30 ] ⇒ P [X ≥ 30 ] = 1 - 0,1587

P [X ≥ 30 ] = 0,8413 or 84,13%

b) P [X < 24]

z (score) = ( 24 - 36 ) / 6

z( score) = -2

And from z table we get:

P [X < 24] = 0,0228 or 2,28 %

c) P [ 24 < X < 48 ] is P[X ≤ 48] - P[X ≤ 24]

P [X < 48]

s (score) = 48 - 36 / 6 ⇒ z = 2

P [X < 48] = 0,9772

Then

P [ 24 < X < 48 ] = 0,9772 - 0,0228

P [ 24 < X < 48 ] = 0,9544 or 95,44%

3 0

3 years ago

Solve the right triangle. Round decimal answers to the nearest tenth.

dem82 [27]

Step-by-step explanation:

RS = 15/ tan57° = 9.7

RT = 15/sin57° = 17.9

3 0

3 years ago

In how many ways can you spell the word ROOM in the grid below? You can start on any letter R, then on each step you can step on

Zina [86]

Answer:

84? Not sure but pretty sure

Step-by-step explanation:

In a straight line, the word can only be spelled on the diagonals, and there are only two diagonals in each direction that have 2 O's.

If 90° and reflex turns are allowed, then the number substantially increases.

Corner R: can only go to the adjacent diagonal O, and from there to one other O, then to any of the 3 M's, for a total of 3 paths.

2nd R from the left: can go to either of two O's, one of which is the same corner O as above. So it has the same 3 paths. The center O can go to any of 4 Os that are adjacent to an M, for a total of 10 more paths. That's 13 paths from the 2nd R.

Middle R can go the three O's on the adjacent row, so can access the three paths available from each corner O along with the 10 paths available from the center O, for a total of 16 paths.

Then paths accessible from the top row of R's are 3 +10 +16 +10 +3 = 42 paths. There are two such rows of R's so a total of 84 paths.

6 0

3 years ago

Read 2 more answers

The sum of three consecutive intergers is 267. What is the largest interger?

pav-90 [236]

90

Step-by-step explanation:

4 0

2 years ago

N Example 3, the points are(0,3500) and (5,1750). Write an equation that represents the distance y (in feet) remaining after x m

Cerrena [4.2K]

Answer:

<h2>The time needed is 10 months.</h2>

Step-by-step explanation:

The given points are (0, 3500) and (5, 1750).

First, we use the formula below to find the slope of the line

$m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }=\frac{1750-3500}{5-0}=\frac{-1750}{5}=-350$

Which means the function is deacrasing with a ratio of 350 feet per month.

Now, we use the slope and one point to find the equation

$y-y_{1} =m(x-x_{1} )\\y-1750=-350(x-5)\\y=-350x+1750+1750\\y=-350x+3500$

This linear function shows that the situation started at the y-intecept (0, 3500), which means the month 0 had already 3500 feet. In other words, the total distance is 3500 feet. Now, the x-intercept will tell us the time needed to travel that distance.

$0=-350x+3500\\-3500=-350x\\x=\frac{-3500}{-350}\\ x=10$

Therefore, the time needed is 10 months.

3 0

2 years ago