1
The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).
Overtime hours
0
2 3 4 5 6
Employees
8 10 33 53 43 25 19
(a) Construct a probability distribution
(b) Graph the probability distribution using a histogram and describe its shape.
(a) Construct the probability distribution by completing the table below.
1
2
3
4
5
6
P(x)
1
(Round to three decimal places as needed.)

Answer:

• 06/21/17

What is the minimum force required to prevent a ball weighing 22.6 lb from rolling down a ramp which is inclined 39.0 degrees with the horizontal

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Step-by-step explanation:

Factorisation:

[tex]\rightarrow \sf 20mn-15m[/tex]

take 5m as common term

[tex]\rightarrow \sf 5m\left(4n-3\right)[/tex]

solving/simplifying:

[tex]\rightarrow \sf \left(\dfrac{5}{6}z\:+\:5\right)+\left(-\dfrac{1}{3}z-4\right)[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z+5-\dfrac{1}{3}z-4[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z-\dfrac{1}{3}z+5-4[/tex]

[tex]\rightarrow \sf \dfrac{5}{6}z-\dfrac{1(2)}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{5-2}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{3}{6}z+1[/tex]

[tex]\rightarrow \sf \dfrac{1}{2}z+1[/tex]

Answer:

[tex]5m(4n - 3)[/tex]

[tex]\dfrac12z+1[/tex]

Step-by-step explanation:

Given expression:

[tex]20mn-15m[/tex]

Rewrite 20 as [tex]4\cdot 5[/tex]

Rewrite 15 at [tex]3 \cdot 5[/tex]

Therefore,

[tex]20mn-15m=4\cdot 5m\cdot n-3 \cdot 5m[/tex]

Factor out common term [tex]5m[/tex] :

[tex]\implie 5m(4n-3)[/tex]

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Given expression:

[tex]\left(\dfrac56z + 5\right)+\left(-\dfrac13z-4\right)[/tex]

Simplify:

[tex]\dfrac56z+5-\dfrac13z-4[/tex]

Group like terms:

[tex]\dfrac56z-\dfrac13z+5-4[/tex]

Combine like terms:

[tex]\dfrac12z+1[/tex]

Answer:

Step-by-step explanation:

For the first one here is the answer:

Given.

Transitive property of equality- this is becasue the rule is if A=b and B=c then A=c. IN this situation its saying that a is parrelel to b and b is parralel to c therfore a is parrelel to c.

line A and d cross over at 90 degree angles making them perpendicular. -There should be a rule for this and if there is then write that rule down

Second answer:

Given.

Definition of a  supplementary angle.

Definition of a supplementary angle

Definition of supplementary angles.

Alternate Exterior Angles Theorem

C=D

-Srry for the definiton of supplementary angles thing but thats the best answer for those.

Hope i helped

Answer:

2 km 691 m

Step-by-step explanation:

5 km - 2 km 309 m

= 5000 m - 2309 m

= 2691 m

= 2 km 691 m

Answer:

Step-by-step explanation:

Cos(90-2x) . tan(180+x) + sin^2(360-x)​

= sin(2x) * tan(x) + sin²(x)

= 2sin(x) cos(x) sin(x)/cos(x) + sin²(x)

= 2sin²(x) + sin²(x)

= 3sin²(x)

Answer:

2 km 7 m=2000m+7m=2007m=

1000

2007

km=1.007 km

Step-by-step explanation:

please mark me as brainlist

Answer:

$40.80

Step-by-step explanation:

First, convert the 20% to an actual number that can be used in a calculation. For percent, this is always done by simply dividing the percent, in this case, 20%, by 100%. So, the conversational term "20%" becomes 20% / 100% = 0.20 in terms of a real mathematical number.

Second, you need to find out what 20% of your $34.00 meal cost is. This is always done by multiplying 0.20 by $34.00, or 0.20 x $34.00=$6.80. So, the amount of tip you are going to leave is $6.80.

This makes the total cost of your meal (to write on your charge slip or other payment)

$34.00 + $6.80 = $40.80.

Answer:

$40.80

Step-by-step explanation:

If you pay for the original cost of the dinner AND leave a 20% tip then the total amount paid will be 120% of the original cost (100% + 20% = 120%).

Convert 120% into a decimal:  120% = 120/100 = 1.2

So 120% of $34.00 = 1.2 × 34 = $40.80

The value of 8 in 5.18 is 0.08.

The value of the 8 in 5.81 is 0.8.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

here, we have,

from the above we got idea about place value.

hence,

The value of 8 in 5.18 is. 0.08

the value of 8 in 5.81 is 0.8

To learn more on place value click:

https://brainly.com/question/27734142

#SPJ2

Answer:

C)  1340 days

Step-by-step explanation:

The composite function you have given is incorrect.

The composite function for this question is:

t(d) = 60d + 20

(as I have proven in a previous question)

Substitute d = 22 into the function:

t(22) = 60(22) + 20

        = 1320 + 20

        = 1340 days

Answer:

Your answer is D.Divide

Step-by-step explanation:

Please mark as brainliest

Hope you have a great day!

Answer:

21 feet

Step-by-step explanation:

12^2+x^2=20^2(Pythagorean theorem)

144+x^2=400

x^2=400-144

x^2=256

x=sqrt 256

x=16

y^2+12^2=13^2(Pythagorean theorem)

y^2+144=169

y^2=169-144

y^2=25

y=sqrt 25

y=5

distance between A and B=16+5

=21 feet

Answer:

20 degrees

Step-by-step explanation:

90 degrees minus 70 degrees, because it is a 90 degree angle.

Answer:

4

Hope this helps ;)

Step-by-step explanation:

(12-8)x 3 - 2 x 7 = -2

√6 ≈ 2.44949

-2 + 2.44949

= 4

The population in the study are the people that are 71 years of age and older in the United States.

Population simply means the representative sample of a larger group. Here, the population in the study are the people that are 71 years of age and older.

Also, 0.097 is a statistic because it describes the proportion of the people that suffer from the disease for the sample of 856.

The technical conditions are that the sample should be collected from a normal distribution. In this case, since the sample size is large, then the sampling distribution of the sample means is normal.

Learn more about population on:

https://brainly.com/question/25630111

Answer:

[tex]\sf{ (z-7)(z-2)}[/tex]

explanation:

[tex]\sf z^2 - 9z + 14[/tex]

break down, (7 * 2) = 14

[tex]\sf z^2 - 7z - 2z + 14[/tex]

collect in parenthesis

[tex]\sf z ( z - 7 ) -2(z - 7)[/tex]

collect in groups

[tex]\sf{ (z-7)(z-2)}[/tex]

Answer:

The lines represented by the equations y = -X – 3 and

5y + 5x = -15

Step-by-step explanation:

neither are parallel nor perpendicular

Submit Answer

the same line

parallel

perpendicular

What is the answer?

Answer:

  450

Step-by-step explanation:

There are 900 3-digit numbers in the range 100–999. Of those, exactly half are even numbers.

There are 450 even three-digit numbers.

Answer: i think that jacks volume would be 24 i think jills is 882 i believe but i may be wrong

Step-by-step explanation:

Answer:

need more detail

Step-by-step explanation:

Hey there!

The degree is the exponent.

Let me explain with examples.

Suppose we have a polynomial 4d.

Its degree is 1 (it's a first degree polynomial)

What is the degree of the polynomial 4d²?

That's right, this is a second-degree polynomial.

And so on...

Let's look at our polynomial.

We have

-7d.

What is the degree of the polynomial?

That's right, 1.

Hence, -7d is a

[tex]\boxed{\boxed{\bold{first-degree~polynomial}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

[tex]\bold{Don't~give~up...}[/tex]

Answer : Volume  = 4/3πrcubed = 4/3.π.4.3cubed≈333.03814cm(cubed)

Hope that helps

Step-by-step explanation:

Veremos que el otro lado  del triangulo debe medir 20 metros.

Sabemos que para un triangulo rectangulo de catetos P y K, el area es:

A = P*K/2

En este caso, sabemos que el menor de los catetos mide 5 metros, entonces tenemos:

P = 5m

Y tambien sabemos que el area es de 50m^2, reemplazando eso en la ecuación de arriba obtenemos:

50m^2 = 5m*K/2

Ahora podemos resolver esto para K

(50m^2)/5m = K/2

10m = K/2

2*10m = K = 20m

El otro lado debe medir 20 metros.

Si quieres aprender m'as sobre triangulos, puedes leer:

https://brainly.com/question/25839532

Answer:

the answer is truly 28 person above is correct

Answer:

y=-5x+35

Step-by-step explanation:

Use the formula y = mx + b

m = slope, so plug in -5 as the slope

To find x-intercept we set y=0

We want the x-intercept to be 7 so we can plug that into the equation too

0=-5(7)+b

Lastly solve for b and you get your answer

Which is y=-5x-35 :) hope this helps

Answer:

30/29

Step-by-step explanation:

5 feet is 5*12 = 60 inches

Fraction is (60 in)/(58 in)

(60 in)/(58 in) = 30/29

Answer:

The area of a rectangle is the product of its dimensions. Your park has an area of

 (5/8 mi)×(2/3 mi) = 10/24 mi² = 5/12 mi²

Step-by-step explanation: