The human resources managet at a company records the length in hours of one shift at work, X. He created the probability distribution below. What is the probability that a worker chosen at random works at least 8 hours?
Answer:
The probability that a worker chosen at random works at least 8 hours is 0.83
Step-by-step explanation:
Given
See attachment for probability distribution
Required
[tex]P(x \ge 8)[/tex]
At least 8 hours means that a worker works for 8 hours or more.
So:
[tex]P(x \ge 8) = P(x = 8) + P(x = 9) + P(x = 10)[/tex]
By reading the probabilities from the graph, we have:
[tex]P(x \ge 8) = 0.61 + 0.14+ 0.08[/tex]
[tex]P(x \ge 8) = 0.83[/tex]
A rectangular tank measures 30 cm by 20 cm by 40 cm. How many milliliters of water are in the tank when it is full? How many liters is that?
Answer:
24000ml or 24L
Step-by-step explanation:
wxhxl = volume
20cm x 30cm x 40cm = volume
volume = 24000cm3
1cm3 = 1ml
24000cm3 = 24000ml
1000ml = 1L
24000ml = 24L
A ramp 28 ft long rises to a platform. The bottom of the platform is 17 ft from the foot of the ramp. Find x, the angle of elevation of the ramp. Round your
answer to the nearest tenth of a degree.
PLZ HELP I WILL MARK BRAINLIEST
Answer:
x ≈ 52.6°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{17}{28}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{17}{28}[/tex] ) ≈ 52.6° ( to the nearest tenth )
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Convert standard form to vertex form then identify the vertex
-2x^2 - 8x + 3
Answer:
vertex point at (-2|11)
f(x)=-2*((x+2)^2+1*-11/2) (simplified)
Step-by-step explanation:
f(x)=-2*x^2+-8*x+3
f(x)=-2*(x^2+4*x+-3/2) ( Factor out )
f(x)=-2*(x^2+4*x+(2)^2+-1*(2)^2+-3/2) ( Complete the square )
f(x)=-2*((x+2)^2+-1*(2)^2+-3/2) ( Use the binomial formula )
hope this helped, I didn't get much to work with so if i'm wrong i'm sorry
-4=12-2x
please help me with step by step
Answer:
x=8
Step-by-step explanation:
-4 = 12 - 2x
when plus 12 goes to the left hand side it changes its sign so,
-4 -12 = -2x
- * - is plus so add 4 and 12 but keep the sign - because 12 is the greatest number and its sign is -
-16=-2x
when -2 comes to the left hand side it changes its from multiplication to division.So,
-16/-2=x
8=x
we will get positive 8 because minus and minus also gets cancel.
Answer:
x=8
Step-by-step explanation:−4=12−2x
−4=12−2xSwap sides so that all variable terms are on the left hand side.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.
−4=12−2xSwap sides so that all variable terms are on the left hand side.12−2x=−4Subtract 12 from both sides.−2x=−4−12Subtract 12 from −4 to get −16.−2x=−16Divide both sides by −2.x=−16÷-2
Divide −16 by −2 to get 8.
Divide −16 by −2 to get 8.x=8
Find the value of z.
A. 118
B. 100
C. 93.5
D. 42.5
Answer:
[tex](180-73)=z+114/2[/tex]
[tex]107*2=z+114[/tex]
[tex]z=214-114[/tex]
[tex]z=100[/tex]
❄ B. 100
------------------------
hope it helps...
have a great day!!
In the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
What is circle?Circle is a shape consisting fall points in a plane thata are at a given distance from a given distance from a given point which is the centre of the circle.
How to find angle?In the circle we can see the following:
(180-73)=(z+114)/2
107*2=z+114
214=z+114
z=214-114
=100
Hence in the given circle in which angles are 73°,96°,114° then the value of z is equal to 100 which is option b.
Learn more about angles at https://brainly.com/question/25716982
#SPJ2
Answer pls………………………..
Answer: Choice C. [tex]3\sqrt{17}[/tex]
================================================
Work Shown:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(12-15)^2 + (-21-(-9))^2}\\\\d = \sqrt{(12-15)^2 + (-21+9)^2}\\\\d = \sqrt{(-3)^2 + (-12)^2}\\\\d = \sqrt{9 + 144}\\\\d = \sqrt{153}\\\\d = \sqrt{9*17}\\\\d = \sqrt{9}*\sqrt{17}\\\\d = 3\sqrt{17}\\\\d \approx 12.3693169\\\\[/tex]
I used the distance formula for those steps above.
The two points were (x1,y1) = (12,-21) and (x2,y2) = (15,-9) but you could swap the order.
As an alternative route, you can plot the two points on the same xy grid. Then form a right triangle such that the hypotenuse is between the two points mentioned. The pythagorean theorem should lead you to the same answer as above. In fact, the distance formula is basically a modified version of the pythagorean theorem.
The train left the terminal at 11:20 am and arrived at its destination at 2:40 pm how long did the train travel?
Answer:
3 hrs and 20 minutes
Step-by-step explanation:
What is the value of X in the situation
PLEASE PLEASE HELP ME!! due in the morning and im clueless.
explanation = brainliest!
The radius of a circle is 10 feet. What is the area of a sector bounded by a 180° arc?
give your answer in simplest form
Answer:
[tex]50 \pi \: sq \: ft.[/tex]
Explanation:
as we can see that the sector bounded by the 180° arc is a semi- circle
area of a circle =
[tex]\pi {r}^{2} [/tex]
area of semi circle =
[tex] \\ \frac{\pi {r}^{2} }{2} [/tex]
[tex] = \frac{\pi {10}^{2} }{2} \\ = 50\pi[/tex]
what is the possibility of a two sided coin flipped and lands on tails?
Answer:
Step-by-step explanation:
it has a 50/50 chance if it lands on tailes it is 50/50
If (x+y)^2=125xy,
show that, 2 log (x+y) = 3 log 5+log x+ log y
Formulas used :
[tex]loga^ x = x \ log a[/tex]
[tex]logab = log a + logb[/tex]
Steps :
[tex](x+y)^2 = 125xy\\\\log(x+y)^2 = log(125xy)\\\\2log(x+y) = log 125 + log x + log y\\\\2log(x+y) = log 5^3+ log x + log y\\\\2log(x+y) = 3 log 5 + log x + log y\\\\[/tex]
14. Evaluate the expression.
4!
24
28
20
Answer:
24.
Step-by-step explanation:
By definition, factorial 4
= 4!
= 4*3*2*1
= 24.
Round 27834 to 2 significant figures
28000 is the answer.
you count two numbers from front and approximate
Find the distance between the points A(-6,8) and B(12, -7) by using the distance formula or Pythagorean Theorem.
For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?Answer:
Step-by-step explanation:For which situations is it appropriate to use a sample? Select three options.
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
What is the average number of rainbows each year in Honolulu?
How many pedestrians would use a walkway built over a busy road?
How many police cars are equipped with computers?
What is the most popular car color in the teachers’ parking lot?
Hello can someone help me understand this explanation?
I don’t understand how they got 5x=5
Thank you!
Answer:
Starting from
2(-x) = 3x - 5
Distribute
-2x = 3x - 5
add 2x to both sides
0 = 5x - 5
Add 5 to both side
5 = 5x
Flip
5x = 5
a class has a ratio of boys and girls that is 6:5. if there are 15 girls in the class how many total children are in there class
Answer:
33
Step-by-step explanation:
Trust me it'll work.
y is directly proportional to the square of x. given that y = 50 when x = 5, find the value of y when x = 3
Answer:
y = 18
Step-by-step explanation:
Given y is directly proportional to x² then the equation relating them is
y = kx² ← k is the constant of proportion
To find k use the condition y = 50 when x = 5
50 = k × 5² = 25k ( divide both sides by 25 )
2 = k
y = 2x² ← equation of proportion
When x = 3 , then
y = 2 × 3² = 2 × 9 = 18
What is the measurement shown ?
answers:
3.5
2.875
about 3.0625
Use thing below for answers
Which description best describes an Irrational number? (2 Points) A repeating decimal A fraction A perfect Square A non-terminating non-repeating decimal
Last week, Sarah bought a designer shirt at the sale price of $24. The original cost of the shirt was $40. What percent represents the discount that Sarah received when buying the sweater?
Answer:
40%
Step-by-step explanation:
Amount of money discounted
= $40 - $24
= $16
Percentage of discounted money
= 16/40 x 100%
= 40%
Let p: A number is greater than 25.
Let q: A.number is less than 35.
If p ^ q is true, then what could the number be? Select two options.
Answer:
Here we do not have the options, so I will answer in a general way.
We have two statements:
p = A number is greater than 25
q = A number is less than 35
We want to have:
p ^ q is true
This means:
p and q are true.
So, we need to find a number such that both conditions are meet, so we need to find a number N such that
The number N is greater than 25 (from p)
The number N is less than 35 (from q)
So N can be any number between 25 and 35
So, some of the possible values of N are:
N = 26
N = 27
N = 28.6
N = 33
N = 34
Concluding, any number N ∈ (25, 35) can be a solution.
(Note that N = 25 and N = 35 are not solutions)
To convert 120 ounces to pounds, which of the following proportions should you use?
ANSWER VERY QUICKLY PLEASE!!!! NEED ANSWERS ASAP.
Answer: you would use the last option
Which of Roosevelt's contributions is considered to be the biggest construction undertaking in the nation's history?
Answer:
Public works administration
Step-by-step explanation:
Roosevelt's public work administration was a part of the new deal in the year 1933. The PWA was intended to cut down on the number of unemployed persons, and to raise the purchasing power of the people through the constructions. Most job seekers that were employed were those that had no formal education. the public works projects included road constructions, bridges, dams as well as public buildings like schools, hospitals
Which figures have a volume greater than 500 cubic inches? Choose all that apply.
How many times greater is the volume of the sphere than the volume of cone #1? Round your answer to the neared tenth. Use 3.14 for pi.
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
A drink was spilled on the math problem shown below. 67.5 times 4.Blank = blank.50 Ron remembers that the second factor was a decimal. Based on the placement of the decimals in the first factor and the product, which must be true of the second factor?
Answer:
The answer is "The decimal could be five-tenths".
Step-by-step explanation:
Given value:
[tex]\to 67.5 \times 4. \_= \_ .50[/tex]
Let the decimal value is: (2)
[tex]\to 67.5 \times 4. 2= 283 .50[/tex]
The GM of a series of a three positive numbers is 4 by including fourth number it becomes 2 what is fourth value
Answer:
1/4
Step-by-step explanation:
Let a₁, a₂, a₃ and a₄ be the four numbers. Since the geometric mean of the first 3 positive numbers is 4, we have that
∛(a₁a₂a₃) = 4. (1)
Also the geometric mean of the four numbers is 2, we have that ⁴√(a₁a₂a₃a₄) = 2 (2).
So, taking the cube of (1), we have
[∛(a₁a₂a₃)]³ = 4³
a₁a₂a₃ = 64 (3)
Also, taking the fourth power of equation (2), we have
[⁴√(a₁a₂a₃a₄)]⁴ = 2⁴
a₁a₂a₃a₄ = 16 (4)
Dividing (4) by (3), we have
a₁a₂a₃a₄/a₁a₂a₃ = 16/64
a₄ = 1/4
The fourth value is 1/4
can someone help with this one im confused.
Answer:
C
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What properties of a figure stay the same after a reflection? *
Answer:
1. The preimage and image are congruent
2. Any line segment connecting the corresponding points between the preimage and image is bisected by the line of reflection
3. Corresponding angles on the preimage and image are congruent
4. Corresponding points of the preimage and image are equidistant from the line of reflection.