On solving the provided question we can say that - probability distribution, E(X)= 47.5, V(X)= 128.75, [tex]E(X^{2})[/tex] = 2605
What is probability distribution?A probability distribution is a mathematical function used in probability theory and statistics that estimates the likelihood that different possible experiment results will occur. The sample space and event probabilities are used to build a mathematical description of random occurrences.
E(X)= (20 * 0.05) + (30 *0.05)+ (40 * 0.35) + (50 * 0.20) + (60 *0.35)
= 1+ 1.5 + 14 + 10 + 21
= 47.5
V(X)= ((20-38)2 * 0.05) + ((30-38)2 *0.05)+ ((40-38)2 * 0.35) + (50-38)2 * 0.20) + ((60-38)2 *0.35)
= 16.2 + 3.2 + 1.4 + 28.8 +169.4
= 128.75
[tex]E(X^{2})[/tex]=
=(202 * 0.05) + (302 *0.05)+ (402 * 0.35) + (502 * 0.20) + (602 *0.35)
= 20 + 45 + 560 + 500 +1260
=2605
[tex]V(X^2)[/tex] = 2605 - ( 47.5)2
= 2385 - 2256.25
=128.75
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I need someone too answer this for someone
Answer: C
Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.
A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22
Answer: C 0.22,
Step-by-step explanation:
We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample
Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
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 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]In this problem:
The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]
The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.
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Please help me I will give you brainliest
ok here you go its B
Solve for x. Round all answers to the nearest tenth.
9
X
12
Answer:
I hope im right so so sorry if im not
Step-by-step explanation:
first find area
1/2 bh
1/2 of base times height
bh=(9)(12)=108
if there is a right angle then that is 90°
so do 108° -90° which is 18°
So your answer is 18°
The solution is, the value of x = 36.87.
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
here, we have,
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
here, we have,
from the given figure,
we get,
height = 9
base = 12
by, using the trigonometric relations,
we get,
tan x = 9/12
or, tan x = 0.75
or, x = 36.87
Hence, The solution is, the value of x = 36.87.
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PLEASE HELP ME!! First correct answer gets branliest!!!
At the end of the football season a team analysis a number of goals they conceded each game the table shows that information.
Conceded goals: 0, 1, 2, 3, 4. Frequency 2, 8, 4, 10,6, 8.
A) Find out the median of the number of goals conceded.
B) Work out the mean number of goals conceded.
Answer:
median is 2
mean is 6.333
Step-by-step explanation:
arranging values in ascending or descending order you pick the middle for odd numbers which is 2. mean is sum of the total data divided by the number of items in the set which is 2+8+4+10+6+8 divide by 6 which is 6.333
A researcher collected data on the cholesterol level, C, and the age, A, of 24 people selected at random. Using the data, the researcher calculated the least-squares regression line to be Cˆ=182+2.2A and the standard error of the slope to be 0.38. If the conditions for inference are met, which of the following is closest to the value of the test statistic to test the hypotheses H0:β=0 versus Ha:β≠0 ?
A. t = 0.17
B. t= 0.38
C. t = 0.836
D. t = 2.2
E. t = 5.79
Answer:
t = 5.79
Step-by-step explanation:
Given the regression line equation :
Cˆ=182+2.2A
Null ; H0:β=0
Alternative ; Ha:β≠0
Comparing with the general for of a linear regression equation :
y = bx + c
b =slope Coefficient ; c = intercept
b = 2.2 (from equation given)
The test statistic :
t = (Slope, b - null, β) / standard error of slope, E
(b - β) / E
(2.2 - 0) / 0.38
t = 2.2 / 0.38
t = 5.7894736
t = 5.79
Function operations
PLEASE HELP:):):):):):):):)
Answer:
[tex]Area = 8[/tex]
Step-by-step explanation:
Given
The attached figure
Required
Determine the area
The shape is a trapezium. So, the area is:
[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]
From the attached,
The height is 2
The parallel sides are: 2 and 6
So, the area is:
[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]
[tex]Area = \frac{1}{2} *8 * 2[/tex]
[tex]Area = 8[/tex]
Hence, the area is 8 units square
For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line?
Answer:
he can run 24240 kilometers
Step-by-step explanation:
A 2003 study of dreaming found that out of a random sample of 111 people, 93 reported dreaming in color. However, the rate of reported dreaming in color that was established in the 1940s as 0.24. Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to test to see if the proportion dreaming in color had changed since the 1940s. Are the conditions met?
A. No, the observations are not independent.
B. Yes, all the conditions are met.
C. No, the sample size is not large enough to produce at least 10 successes and 10 failures.
D. No, the population is not more than 10 times bigger than the sample size.
Answer:
B. Yes, all the conditions are met.
Step-by-step explanation:
According to the question
There is a random sample of 111 people also these people are independent
The population size is also not given so we assume that it should be on infinity i.e. it should be more than 10 times higher as compared with the sample size
And, the number of success in the sample is 93
So, the number of failure would be
= 111 - 93
= 18
So, the 93 and 18 would be higher than 10
Therefore, the option b is correct
Jane drew a marble at random from a bag containing 4 blue, 6 red, and 10 point
5 green marbles. She drew from the bag 30 times, Here are the results of
her draw: 12 reds, 10 greens, and 9 blue. What is the experimental
probability that she will draw a green in her next draw? *
Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps
ou are going to estimate how long a person holds down a button on their calculator by randomly selecting people and asking them to do something on your calculator (which has a special timer to record how long the enter button is pressed). You practiced on the people at work and found a standard deviation of about 0.59 seconds. You want to get a 95% confidence interval that is only 0.12 in width. How many people do you need to have in your study
Answer:
Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!
Step-by-step explanation:
Please help!!!! I’m about to fail and I don’t want to
Answer:
But, you didn't ask any question.
Step-by-step explanation:
Remember to post your question next time.
What is the value of S
Please help
Please No xtiny URLs
Answer:
s=89
Step-by-step explanation:
Find the area of the shaded region
9514 1404 393
Answer:
112 ft²
Step-by-step explanation:
The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.
shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')
shaded area = 112 ft²
Use the table to find the value of the following.
Sin117°
Answer:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
Step-by-step explanation:
Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:
[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]
[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]
By information form table we find that:
[tex]\sin 63^{\circ} \approx 0.8910[/tex]
Therefore, we conclude that value of the given angle is:
[tex]\sin 117^{\circ} \approx 0.8910[/tex]
A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean and standard deviation of What is the probability that, for an adult after a 12-hour fast, x is less than 104
Answer:
The pvalue of Z when X = 104.
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.
What is the probability that, for an adult after a 12-hour fast, x is less than 104?
This is the pvalue of Z when X = 104.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{104 - \mu}{\sigma}[/tex]
[tex]\mu[/tex] and [tex]\sigma[/tex] are the values of the mean and of the standard deviation, respectively.
Complete the sentence.
32% of 25 is
I need all the help I can get!
Answer:
8
Step-by-step explanation:
[tex]\frac{y}{25}= \frac{32}{100}[/tex]
y × 100 = 32 × 25
100y = 800
100y ÷ 100 = 800 ÷ 100
y = 8
Here is a formula for most percentage problems.
Find the surface area on a pyramid 12cm 7cm 7cm
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
PLEASE HELP ASAPPP!!!!
Answer: The answer is C. x = 3.46 cm i believe. sorry if im wrong
Step-by-step explanation:
Answer:
2.4 cm
Step-by-step explanation:
Since that they are similar, what you can do is:
3.0/1.2 = 2.5
1.2 * 2.5 = 3.0
0.96 * 2.5 = 2.4 cm
anyone caring to help me?? please and thank you it would be very much appreciated <3
Answer:
75
90
15, i think ??
165
hope this helps !!!! :D
Step-by-step explanation:
Solution:
Here,
In triangle LKM,
6x+5x+x=180
12x=180
x=180/12
x=15
Now,
1.75
2.90
3.15
4.165
A bi-monthly sports magazine has 48,000 subscribers when it charges $20 for a one year subscription. For every $1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below. Using the equation below, how much should the magazine sell for in order to maximize revenues? f (x) = (48,000 – 2,000x) (20 + x)
Answer:
To maximize the profits of the company, the subscription price should be raised to $ 22.
Step-by-step explanation:
Given that a bi-monthly sports magazine has 48,000 subscribers when it charges $ 20 for a one year subscription, and for every $ 1 increase in the yearly subscription price, the magazine assumes that it will lose 2,000 subscribers resulting in the equation below, to determine, Using the equation below, how much should the magazine sell for in order to maximize revenues, the following calculations should be performed:
f (x) = (48,000 - 2,000x) (20 + x)
X = 48,000 x 20 = 960,000
X = (48,000 - 2,000x1) x (20 + 1)
X = 46,000 x 21
X = 966,000
X = (48,000 - 2,000x2) x (20 + 2)
X = 44,000 x 22
X = 968,000
X = (48,000 - 2,000x4) x (20 + 4)
X = 40,000 x 24
X = 960,000
Therefore, to maximize the profits of the company, the subscription price should be raised to $ 22.
I don’t know how to do this at all
9514 1404 393
Answer:
A) down
B) 25 m; 200 m/s
C) (20.41, 2065.82)
Step-by-step explanation:
When you are first introduced to equations for ballistic motion, you may be told that the formula is ...
h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds
where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.
When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...
f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'
When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.
Knowing these things, you are prepared to match the given equation to these patterns.
__
Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.
__
Part B: The constant in the first given equation is 25, so the initial height is 25 meters.
The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.
__
Part C: The vertex can be read from the second equation as ...
(h, k) = (20.41, 2065.82)
Les 2/3 de 9Litres ?
Answer:
6 litres
Step-by-step explanation:
9:3=3
2×3=6
therefore the answer is 6.
To the nearest tenth of a second, how long will it take the arrow to hit the ground?
Answer:
0.6
Step-by-step explanation:
For the function defined by y = StartFraction 1 Over x squared EndFraction, y varies inversely as what quantity? a. x c. y b. 2x d. x squared
Answer:
D- x^2
Step-by-step explanation:
Just did the practice edge. 2021
For a given function, y is inversely proportional to x.
Option A is correct.
What is function?A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.
A function is a special type of relation where every input has a unique output.
A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.
Given function
y = [tex]\frac{1}{x^{2} }[/tex]
If x = 1, y = [tex]\frac{1}{1^{2} }[/tex] = 1
If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25
If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111
If x is changing, y is also changing.
x is in denominator.
So, it means inversely proportional.
Y is inversely proportional to x.
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What is the unit digit of 3^(25) + 325 ? (Please show work and I will mark brainlist)
A. 1
B. 3
C. 5
D. 6
E. 8
Unit digit of [tex]3^{25} + 325[/tex] is 8.
Thus option E is correct .
Given , expression [tex]3^{25} + 325[/tex]
To identify the unit digit firstly the cyclicity of 3 ,
Cyclicity of 3 :
[tex]3^1 = 3\\\\3^2 = 9\\\\3^3 = 27\\\\3^4 = 81\\\\3^5 = 243\\\\3^6 = 729\\\\3^7 = 2187[/tex]
[tex]3^8 = 6561[/tex]
Here the cyclicity of 3 is 4 that is the unit digit of exponent of 3 will be repeating after every fourth power.
Here, the exponent of 3 is 25.
Divide 25 by the cyclicity of 3.
25/4
Remainder = 1
Hence the unit digit of [tex]3^{25[/tex] will be 3.
Unit digit of 325 is 5.
Add 5 + 3
= 8
Hence the unit digit will be 8.
Option E is correct .
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Find the measures of the numbered angles in each kite.
Answer:
x = 9°
y = 26°
Step-by-step explanation:
4x + 6x = 90
10x = 90
x = 9
y + 7(9) +1 = 90
y + 64 = 90
y = 26
Which angles are complementary?
Find the slope of the line that contains the points (6, 5) and (8,7)
Answer:
The slope of the line is 1
Step-by-step explanation:
the formula for slope is
y¹-y²
-----
x¹-x²
y¹ and x¹ can be either of the points.
So let's make it (6,5)
This means that y² and x² will be (8,7)
The equation will be
5-7d -2
----- = ---
6-8 -2
which can be simplified to 1 by divied both by -2