Answer:
ans. option 1.
it is the correct answer
A manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below. Fifty people work for the manager. How many people work 4 hours per shift?.
Total number of employee working for four hours per shift for the manager is 2 people.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
The probability of failure of an event is equal to the difference of the 1 to the success of the event.
Here, the manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below.
Probability Distribution
Hours Worked: X Probability: P(X)
3 0.1
4 ?
5 0.14
6 0.3
7 0.36
8 0.06
As, the probability of an event can not be more than the number 1. Thus, the sum of all the probabilities will be equal to 1.
Let suppose the probability of people working for four hour is x. Therefore,
[tex]0.1+x+0.14+0.3+0.36+0.06=1\\x+0.96=1\\x=1-0.96\\x=0.04[/tex]
Now, the total number of people work for the manager is 50. Therefore, total number of people working for 4 hours are,
[tex]0.04\times50=2[/tex]
Hence, total number of employee working for four hours per shift for the manager is 2 people.
Learn more about the probability here;
https://brainly.com/question/24756209
The area of a rectangle is 3,600 square inches. The perimeter is 400 inches. What are the length and width of the rectangle.
Answer:
L=100 W=100
Step-by-step explanation:
L+W+L+W
With regularly distributed data, what percentage of the data points will fall within one standard deviation from the mean?.
Answer:
68%
Step-by-step explanation:
The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.
Help meee please l don’t understand it’s a new topic
The unsorted stem-and-leaf diagram would look like this:
5 | 6, 3, 5, 0, 2
3 | 2, 7, 3, 3, 4
2 | 6, 9, 1, 1
1 | 7, 1, 1, 6, 8
4 | 4, 2, 4, 3, 4
Basically, you separate the given set of numbers by their whole number part (the digit before the decimal) and list the numbers' fractional part (digit after the decimal) in the order you see them.
The sorted diagram would then be
1 | 1, 1, 6, 7, 8
2 | 1, 1, 6, 9
3 | 2, 3, 3, 4, 7
4 | 2, 3, 4, 4, 4
5 | 0, 2, 3, 5, 6
What is 290,750÷125 this is a good one I hope u can work this out.
Answer:
2326
Step-by-step explanation:
Cost of a Kitten: 99.95 Markup:75%
Discount:46%
94.45275 hope this helps
The figures are congruent because Figure ABCD maps onto Figure KLMN by a reflection and a translation.
The figures are congruent because Figure ABCD maps onto Figure KLMN by a rotation.
The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.
The figures are not congruent because Figure ABCD only maps onto Figure KLMN by a dilation.
Answer:
The figures are not congruent because Figure ABCD does not map onto Figure KLMN by a sequence of transformations.
Step-by-step explanation:
The size of your pool cover distance or area
Answer:
You solve this question
Step-by-step explanation:
Area = To work out the area of a square or rectangle, multiply its height by its width. If the height and width are in cm, the area is shown in cm².
Distance = It a numerical measurement of how far apart objects or points are.
Answer:
My pool's maximum depth: 6ft
My pool's full width: 10ft
My pool's full length: 12ft
(yea, it's pretty big!)
How do I find the area of my pool now?
First, let's start with the distance covered by the pool (area)
We can find that by just doing 10x12, which is 120
So, my pool's distance is 120ft²
EXTRA:
Now, the VOLUME of my pool...
we can find it by doing 6x10x12
6x10=60
6x12=72
60x12=720
So, my pool's VOLUME is 720ft.²
Thanks!
Answered by: FieryAnswererGT
#learnwithbrainly
A website streams movies and television shows to millions of users. Employees know that the average time a user spends per session on their website is 2 hours. The website changed its design, and they wanted to know if the average session length was longer than 2 hours. They randomly sampled 100 users and found that their session lengths had a mean of 2.75 hours and a standard deviation of 1.55 hours. The employees want to use these sample data to conduct at test about the mean.
Required:
Which conditions for performing this type of test did their sample meet?
Using the Central Limit Theorem, it is found that since the sample size is greater than 30, a normal approximation can be used, hence the test can be made.
Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.
In this problem, the distribution of lengths is skewed, however, since the sample size is of 100 greater than 30, a normal approximation can be used, hence the test can be made.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
Answer:
The picture shows what you're looking for.
Step-by-step explanation:
What is the solution set for the inequality 4 - 5g > 39?
The solution set for the given inequality is [tex]g > -7[/tex]
Given the following inequality:
[tex]4 - 5g > 39[/tex]What is an inequality?An inequality can be defined as a mathematical relation that is typically used to compare two (2) integers or variables in an equation by illustrating any of the following:
Greater than (>).Less than (<).Greater than or equal to the other (≥).Less than or equal to the other (≤).Simplifying the inequality, we have:
[tex]4 - 5g > 39\\\\5g > 4-39\\\\5g > -35\\\\g > -7[/tex]
Read more on inequality here: https://brainly.com/question/24372553
find the slope of the line y=1/6x + 3/2
The equation is in the form of the linear line: y = mx +b where m is the slope.
Thus the slope is 1/6
Hope that helps!
please help me with this
Answer:
Samantha is taller then Elisa
Step-by-step explanation:
I hope this helps you.
Answer: Samantha is taller then Elisa
hope this helps :) if i get this wrong then my bad
i need help with this
Answer:
x = 2 square roots of 2
Step-by-step explanation:
it is a 45-45-90 triangle and in that the two legs are equal to each other so both are 2 and then the hypotenuse is x times the square root of 2
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
see below
Step-by-step explanation:
1. 6 and 6sqrt(2)
2. 5 and 5sqrt(3)
3. 3 and 3
4. 12 and 6sqrt(3)
5. 2 and 2
6. 4 and 8
7. 6/sqrt(2) and 6/sqrt(2)
8. 9/sqrt(3) and 18/sqrt(3)
9.4/sqrt(2) and 4/sqrt(2)
10. 3 and 3sqrt(3)
11. 5 and 5sqrt(2)
12. 12/sqrt(3) and 24/sqrt(3)
Factor: 21x^3+6x^2+7x+2
I will give Brainliest to the first person :) please show all work
Answer:
(3x^2+1)*(7x-2)
Step-by-step explanation:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP
1
:
Equation at the end of step 1
(((21 • (x3)) - (2•3x2)) + 7x) - 2
STEP
2
:
Equation at the end of step
2
:
(((3•7x3) - (2•3x2)) + 7x) - 2
STEP
3
:
Checking for a perfect cube
3.1 21x3-6x2+7x-2 is not a perfect cube
Trying to factor by pulling out :
3.2 Factoring: 21x3-6x2+7x-2
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 7x-2
Group 2: 21x3-6x2
Pull out from each group separately :
Group 1: (7x-2) • (1)
Group 2: (7x-2) • (3x2)
-------------------
Add up the two groups :
(7x-2) • (3x2+1)
How do you work out this
Step-by-step explanation:
5x+4x=180°(Co-interior angles)
9x=180°
X=180/9
X=20
please mark brainlesit
Is 4 a solution of 3x + 8 = 4? Complete the statement.
The equation is ?
when x = 4, so 4 ?
a solution.
Answer:
no 4 isnt. if it was that means it would be 12+8=4. its correct
the correct answer is 3(-4/3)+8=4
Step-by-step explanation:
What is the IQR for the data set? {61, 70, 59, 55, 69, 59, 62} Drag and drop the correct answer into the box.
Answer:
10
Step-by-step explanation:
Interquartile Range Formula:
IQR = Q3 - Q1
Quartiles Quartiles:
Q1 --> 59
Q2 --> 61
Q3 --> 69
69 - 59 = 10
[RevyBreeze]
Answer:
10
Step-by-step explanation:
The IQR(interquartile range is the sencond highest number subtracting 2 lowest number unlike range is highest subtract lowest
Hope this helps have a great day:)
PLEASE HELP I NEED TO PASS MATH!!
Solve for x. Numerical answer only.
Answer:
x=93
Step-by-step explanation:
Same explanation as last one I answered. :)
4−10 =84 what is the answer n explanation
Answer:
x=23.5
Step-by-step explanation:
4x-10=84
+10 +10
4x=94
x=94/4
94/4=23.5
Hope this Helps!
If not I am sorry.
Choices below
The exponential grows at approximately half the rate of the quadratic.
The exponential grows at approximately the same rate as the quadratic.
The exponential grows at approximately twice the rate of the quadratic.
The exponential grows at approximately four times the rate of the quadratic.
Answer:
The exponential grows at approximately half the rate of the quadratic.
Step-by-step explanation:
Average rate of change of function f(x) over the interval a ≤ x ≤ b :
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Interval: [tex]0\leq x\leq 1[/tex]
[tex]\implies a=0, b=1[/tex]
Quadratic function: [tex]f(x)=2x^2[/tex]
[tex]\implies f(0)=2(0)^2=0[/tex]
[tex]\implies f(1)=2(1)^2=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-0}{1}=2[/tex]
Exponential function: [tex]f(x)=2^x[/tex]
[tex]\implies f(0)=2^0=1[/tex]
[tex]\implies f(1)=2^1=2[/tex]
[tex]\implies \textsf{Average rate of change}=\dfrac{f(1)-f(0)}{1-0}=\dfrac{2-1}{1}=1[/tex]
Therefore, the exponential grows at approximately half the rate of the quadratic in the interval [tex]0\leq x\leq 1[/tex]
Plsease help me with this one plsease
100 POINTS AND BRAINLIEST! FULLY CORRECT AND EXPLANITORY ANSWERS ONLY!
You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream, they’ve asked you to determine the amount of ice cream in a properly filled cone.
Please note Mr. Robbins is very insistent that all cones be properly filled according to the sketch above, and that he’s running an honest business.
PART A: What shapes is the cone composed of that we can find the volume of?
PART B: What is the volume of those shapes?
PART C: Find the volume of the composite shape for Mr. Robbins, and make sure to show your work.
THERE ARE 3 PARTS! ANSWER ALL CORRECTLY AND EXPLANITORY FOR 100 POINTS AND BRAINLIEST! Thank you!!
Part A: the composite shape is composed of a cone and a half sphere
Part B: The volume of the cone is 1186.92 And the volume of the half sphere is 1526.04
Part C: The volume of the composite shape is the solution of 1186.92+1526.04 = 2712.96
The radius of both the cone and the half sphere is 9 inches and the hight of the cone is 14 inches, using the formula (volume = (1/3) · π · r2 · h) Putting the radius in the r spot and squareing it which is equal to 9x9=82 and putting the hight in the h and turning the pi symbol into 3.14 we get
Volume = (1/3) · 3.14 · 82 · 14
We get the volume of the cone which is 1186.92
Then we use the formula (volume = (4/3) · π · r3) putting the radius in where the r is which is equal to 9x9x9 And changing the pi symbol for 3.14 we get
volume = (4/3) · 3.14 · 729 ÷ 2) = 1526.04
We get the volume of the half sphere which is 1526.04
We then add all of it up to get 1186.92 + 1526.04 = 2712.96
I halved it because it's a half sphere
Find the slope of the line.
Please help!
Answer:
undefined
Step-by-step explanation:
This line is a vertical line, meaning it goes up and down. Vertical lines do not have a slope, thus, the answer is undefined.
Can someone help me with this question? I need help ASAP ⚠️⚠️
One can of frosting covers about 280 square inches, Is one fan of frosting enough to frost the cake?
- fill in the blanks
Answer:
frist brack answers is 32and sandebracket and is55and third bracket and is 98
find the circumference of the circle if the area is 64 inches squared
Step-by-step explanation:
the area of a circle is
A = pi × r²
the circumference of a circle is
C = 2 × pi × r
so,
A = pi × r² = 64 in²
r² = 64 / pi
r = sqrt(64 / pi) = 8×sqrt(1/pi) in
the circumference is then
C = 2 × pi × r = 2 × pi × 8×sqrt(1/pi) = 16×pi×sqrt(1/pi) =
= 28.35926161... in
PLEASE HELP
THIS IS DUE TODAY
In this polygon, all angles are right angles. 21 cm 30 cm 14 cm 46 cm What is the area of the polygon? Show your work.
Answer:
1044 cm²
Step-by-step explanation:
dividend this polygon to 2 rectangular a horizontal and a vertical. then find area of this two rectangular and add together.
area of whole polygon= 30 × (46-21) + 14 × 21 =
30 × 25 + 294 = 750 + 294 = 1044 cm²
HELP ASAP! 2. in the figure, x is an exterior angle to the triangle below.
(a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem.
Step 1: __
Step 2: __
Step 3: __
(b) what is the measurement of < x ?
Answer: 56°
Step-by-step explanation: 116° = 60 ° + X° ( Exterior angle is equal to sum
of 2 opposite interior angle)
X = 116° - 60°
X = 56°
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Write 3 570 000 the following in scientific notation
A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h=-16t squared+320. How long will it take the rock to reach the river?
A. 2.5 sec
B. 3.5 sec
C. 3.8 sec
D. 4.5 sec
Answer:
D. 4.5 sec
Step-by-step explanation:
Once the rock is on the ground it has no height (h=0)
h = -16t² + 320
0 = -16t² + 320
16t² = 320
t² = 20
t² = 20
t = √20
t= √4x5
t = 2√5
around 4.5 seconds