I NEED YOUR HELP PLSS If the vertical length is 10, what is the horizontal length?

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

The acceleration y, in meters per second squared, of an object after x seconds is given by y = 7 sin (pi/4 x). During the first

Nataly_w [17]

Answer: (0, 2) and (6, 10)

Step-by-step explanation:

The acceleration is:

y = 7*sin( x*pi/4).

Over which interval is the acceleration increasing?

First, let's study the sin function:

Sin(θ) increases between -pi/2 and pi/2

Sin(θ) decreases between pi/2 and (3/2)*pi.

And so on.

Here we have:

θ = x*(pi/2)

When x = 0, θ = 0.

And sin(θ) is increasing in θ = 0.

Then we must choose one of the options that start with x = 0.

now it will stop increasing when:

θ = pi/2 = x*(pi/4)

x = 2.

So the acceleration is increasing in the segment (0,2)

And it will start increase again when:

θ = (3/2)*pi = x*(pi/4)

(3/2)*pi*(4/pi) = 6 = x.

So at x= 6 the acceleration starts increasing again, and the acceleration is only deffined until x = 10, then

the correct option is: (0, 2) and (6, 10)

6 0

3 years ago

T/3+9=12 what does this mean in algerba

Mekhanik [1.2K]

Answer:

t=9

Step-by-step explanation:

subtract 9 from both sides

t/3=3

t=9

7 0

3 years ago

The systematic repayment of a loan through a set number of payments at a

Romashka-Z-Leto [24]

Answer:

D

Step-by-step explanation:

Amortization is the systematic repayment or writing off a loan through a number of payments at a specific interest rate.

6 0

4 years ago

If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ?

Dominik [7]

Answer:

$HJ=20\ units$

Step-by-step explanation:

The complete question is

RT and GJ are chords that intersect at point H. If RH = 10 units, HT = 16 units, and GH = 8 units, what is the length of line segment HJ? 18 units 20 units 26 units 28 units

we know that

The intersecting chords theorem is a statement that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal

so

In this problem

$(RH)(HT)=(GH)(HJ)$

substitute the given values

$(10)(16)=(8)(HJ)$

solve for HJ

$HJ=160/8\\HJ=20\ units$

7 0

3 years ago

Read 2 more answers