Answer:
0.14
Step-by-step explanation:
Using the poisson probability relation :
P(x = x) = (λ^x * e^-λ) ÷ x!
From the question ; mean, λ = 5 ; x = 3
Hence,
P(x = 3) = (5^3 * e^-5) ÷ 3!
P(x = 3) = (125 * 0.0067379) / 6
P(x = 3) = 0.8422375 / 6
P(x = 3) = 0.140
According to the 2000 U.S. Census, 80% of Americans over the age of 25 have earned a high school diploma. Suppose we take a random sample of 120 Americans and record the proportion, p, of individuals in our sample that have a high school diploma.
Answer:
a) The mean is 0.8.
b) The standard deviation is 0.0365.
c) Normal
Step-by-step explanation:
Central Limit Theorem
The 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 Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
80% of Americans over the age of 25 have earned a high school diploma.
This means that [tex]p = 0.8[/tex]
Suppose we take a random sample of 120 Americans
This means that [tex]n = 120[/tex].
Question a:
The mean is:
[tex]\mu = p = 0.8[/tex]
The mean is 0.8.
Question b:
The standard deviation is:
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.8*0.2}{120}} = 0.0365[/tex]
The standard deviation is 0.0365.
Question c:
By the Central Limit Theorem, approximately normal.
a) The mean is 0.8.
b) The standard deviation is 0.0365.
c) Normal
Here, we have,
we know that,
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean x and standard deviation σ, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean x and standard deviation s = σ/√n .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean x=p and standard deviation s=√p(1-p)/n
80% of Americans over the age of 25 have earned a high school diploma.
This means that p=0.8
Suppose we take a random sample of 120 Americans
This means that n=120.
Question a:
The mean is:
x=p=0.8
The mean is 0.8.
Question b:
The standard deviation is:
s=0.0365
The standard deviation is 0.0365.
Question c:
By the Central Limit Theorem, approximately normal.
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NEED ANSWER FAST PLEASE
!! Marty keiths annual salary is 56,000 as a computer- aided designer. If the state tax is 4% what does he pay yearly in state taxes?
Answer:
$3240.Step-by-step explanation:
there is no way to explain it on computer but hope this helps
The two circles shown above have radii of 8 in. and 2 in.
Answer:
1/4
Step-by-step explanation:
For the first circle 2 x 2in = 4 to find diameter
4 x 3.14 = 12.56
6in x 2 = 12
12 x 3.14 = 37.68
simplify
12.56/37.68
6.28/18.84
3.14/9.42
So the answer is 1/4 since 3.14 x 2 = 6.28
Also since the radius is 2 times longer
Answer:
D
Step-by-step explanation:
Circumference = 2 * pi * r
Circle A / Circle B = 2 * pi * 8 / 2 * pi * 2
You need to take note of the right side. The 2s cancel and so does pi
Circle A/ Circle B = 8/2
Circle A / Circle B = 4/1 = 4
Which is D
In which quadrant would you find the point 4 and 8
Answer:
Quadrant 1
Step-by-step explanation:
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
Suppose you were trying to gain an understanding of how the very best painter in an automotive factory works. You know that there is only one painter who far outperforms all of the other painters in the factory, and you know that he uses techniques that no one else in the factory uses. What type of data would you want to collect in this situation
Answer:
Qualitative data
Step-by-step explanation:
Qualitative methods like an interviews and observations that are considered valuable as of their detail, descriptiveness, and uniqueness.
In this given situation, it is already known that the specific painter who outperforms in the factory.
And my motive is to gain an understanding with respect to the performing as a best painter for an automative industry so the same information would be observed and interviewed him
Trisha packs x boxes with 12 bottles in each box. The total number of bottles she packs is 216. Which equation and solution represent the total number of boxes Trisha packs?
help asap ty :)
Answer:
Number of boxes Trisha pack = 18 boxes
Step-by-step explanation:
Given:
Number of boxes Trisha pack = X
Number of bottles in each box = 12
Total number of bottle = 216
Find:
Number of boxes Trisha pack
Computation:
Total number of bottle = Number of boxes Trisha pack x Number of bottles in each box
216 = X × 12
X = 216 / 12
X = 18
Number of boxes Trisha pack = 18 boxes
Answer:
okkkkkkkkkkkkkkkkkkkkkkkk
Step-by-step explanation:
solve the equation: 1/2n - 3 = 5
Answer:
n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
1/ 2 n−3=5
Step 1: Add 3 to both sides.
1/ 2 n−3+3=5+3
1/ 2 n=8
Step 2: Multiply both sides by 2.
2*( 1/ 2 n)=(2)*(8)
n=16
Answer:
n=16
Answer:
n=16
Step-by-step explanation:
First you have to do 3+-3 to cross it out
then you have to add 3 to 5
lastly divide 8 and 1/2
Then you get your answer.
Millilitre are used to measure the large amount of volume
Answer:
false
Step-by-step explanation:
Write 0.00000000000000000000000000167 as a multiple of a power of 10.
Answer:
1.67x10^-27
hope this helps
have a good day :)
Step-by-step explanation:
. Find the volume of a sphere with a radius of 23 feet. Round your answer to 2 decimal places. [Use pi = 3.14] *
Answer:
50.965.01
Step-by-step explanation:
Help me with this please!
The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.
Determine the value of q
Answer:
q = 26
Step-by-step explanation:
Given the point (3, q ) lies on the line then the coordinates satisfy the equation.
Substitute x = 3, y = q into the equation
q = 8(3) + 2 = 24 + 2 = 26
Answer:
[tex]\rm q = 26[/tex]
Step-by-step explanation:
Given :-
The equation of a line is y = 8x + 2, and the point (3,q) lies on this line.And we need to find out the value of q. Since the point lies on the given line , it will be a solution of the line. On substituting the values of x and y , we have ,
Given line :-
[tex]\rm\implies y = 8x + 2 [/tex]
Substituting the respective values :-
[tex]\rm\implies q = 8*3 + 2 \\\\\rm\implies q = 24 + 2 \\\\\rm\implies \boxed{\rm q = 26 }[/tex]
Hence the value of q is 26 .
Find the mean. Round to the nearest tenth. 19, 13, 14, 18, 9, 2, 14.
Mean:
Answer:
12.7
Step-by-step explanation:
19 + 13 + 14 + 18 + 9 + 2 + 14 = 89
89 / 7 = 12.7142857143
12.7
This is 4 questions so you can get 50 points......
Answer:
...........................................................................................................................................................................................i really dont know
Step-by-step explanation:
What is the answer to 4(10 + 9)
Answer:
76
Step-by-step explanation:
10+9= 19
19*4=76
Answer:
76
Step-by-step explanation:
1 Simplify 10+910+9 to 1919.
4\times 19
4×19
2 Simplify.
76
76
Find the volume of the following cylinder in cubic inches
Answer:
Option (1)
Step-by-step explanation:
Volume of a cylinder is given by the formula,
V = πr²h
Here, V = Volume
r = Radius of the circular base
h = Height of the cylinder
From the picture attached,
r = 8 in.
h = 0.5 in.
By substituting these values in the formula,
V = π(8)²(0.5)
= 32π
= 32(3.14)
= 100.48 in³
Therefore, Option (1) will be the correct option.
An English professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 61% C: Scores below the top 39% and above the bottom 25% D: Scores below the top 75% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.3 and a standard deviation of 8. Find the minimum score required for an A grade. Round your answer to the nearest whole number, if necessary.
Answer:
The minimum score required for an A grade is 83.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 72.3 and a standard deviation of 8.
This means that [tex]\mu = 72.3, \sigma = 8[/tex]
Find the minimum score required for an A grade.
This is the 100 - 9 = 91th percentile, which is X when Z has a pvalue of 0.91, so X when Z = 1.34.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.34 = \frac{X - 72.3}{8}[/tex]
[tex]X - 72.3 = 1.34*8[/tex]
[tex]X = 83[/tex]
The minimum score required for an A grade is 83.
If you extend a rectangle along its 3rd
dimension, you form a
A.cylinder
B.cube
C.rectangular prism
D.triangular prism
Answer:
C. rectangular prism
Step-by-step explanation:
Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
A) y= x^2+2x-1
Minimum or maximum
B) y=-x^2-8x-1
Minimum or maximum
C) y=2x^2+8x
Answer:
A) minimum
B) maximum
C) minimum
Step-by-step explanation:
A positive x² coefficent means the parabola opens up and the vertex is the minimum
A negative x² coefficent means the parabola opens up and the vertex is the maximum
---------------------------------
A) minimum
B) maximum
C) minimum
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at math.
Graph the equation below using the slope and y-intercept form.
Answer:
Answer below
Step-by-step explanation:
The y-intercept is 2, so you know that one point will be (0,2). The slope is 2/3 so you go 2 units up and 3 units to the right from (0,2).
Keri pours 6 glasses of juice. Each glass holds 34 cup. How many cups of juice does Keri pour?
Answer:
3/4x6=4.5
Step-by-step explanation:
If Keri pours 6 glasses that each contain 3/4 cups than If she where to pour all of them than It would be 3/4*6 to represent the amount of cups to glasses and then the answer would be 4.5 C.
In all glasses combined their will be 4.5 cups of water!
Fractions are written as a ratio of two integers. If Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice
Ratio and proportions
Fractions are written as a ratio of two integers.
If Keri pours 6 glasses of juice and each glass contains 3/4 cup, hence the total cups of juice poured is expressed as:
Total cups of juice poured = 3/4 * 6
Total cups of juice poured = 4.5
Hence if Keri pours 6 glasses of juice, she must have poured 4.5 cups of juice
Learn more on ratio and proportion here: https://brainly.com/question/19994681
Which graph represents y=3sqrt x+6-3?
Answer:
graph for y=3sqrt x+6-3
Step-by-step explanation:
hope this helps :]
14. The measure of Fis 110. The measure of 2E is 100°
What is the measure of D?
150°
According to given angles ,
Angle C=180- angle F (Linear pairs or st.line )
=70
Angle B = 180 - angle B (Same as above)
=80
Now
Angle D =Angle C + Angle B (Exterior angle property of a triangle)
=150°
Enjoy
backk from ban!!!!!!!!
Consider the three isotopes of carbon. What do the three isotopes have in common? Choose all that apply.
A)
They have the same atomic number.
B)
They have the same number of protons.
c)
They all have four valence electrons.
D)
They have the same number of neutrons.
E)
They have the same average atomic mass number,
Answer:
a) they have the same atomic number.
c) they all have 4 valence electrons.
Insert the greater than, less than, or equal sign (>, <, or =) to make each statement true.
a. 45⁄45 ____1
b. 1____ 6⁄3
c. 2⁄7 ____1
d. 64⁄23 ____1
Answer:
a. 45/45 = 1
b. 1 < 6/3
c. 2/7 < 1
d. 64/23 > 1
What is the slope of the line below? If necessary, enter your answer as a
fraction in lowest terms, using the slash ( 1 ) as the fraction bar. Do not enter
your answer as a decimal number or an equation.
The slope of line shown in the graph is 1.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
We have two points from the graph as (8, 8) and (5, 5)
So, the slope of line
Slope = (5- 8)/ (5-8)
slope= (-3)/ (-3)
slope = 1
Also, rise 3 units and run 3 units
Then, slope= Rise/ Run
slope= 3/3
Slope= 1
This, the required slope is 1.
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Sara claims that the number of pages she has read in her book is proportional to the number of minutes that she has spent reading. She collects several data points to prove her claim and expresses the data points as (x, y) coordinate pairs.
Which of the following actions could Sara take to prove her claim? Select two that apply.
A. Place the coordinate pairs in a table and show that they create equivalent ratios.
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written.
C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value.
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Answer:
B. Use the coordinate pairs to show that an equation of the form y = x + c can be written. C. List out the coordinate pairs and show that each y–value is a multiple of its associated x–value. D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
Step-by-step explanation:
Answer:
D. Plot the coordinate pairs on a graph and show that the points make a straight line through the origin.
hope it helps have a nice dayyy
Find the x-intercept and y-intercept of the line −2x − 2y = −2. Use the intercepts to graph the equation.
Answer:
Step-by-step explanation:
The x-intercept is 1, the y-intercept is 1. Convert it to slope-intercept form, then plug in 0 for y to find the x-intercept.