Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to 1. They are categorized into five groups:
1. less than or equal to 0.2
2. greater than 0.2 and less than or equal to 0.4
3. greater than 0.4 and less than or equal to 0.6
4. greater than 0.6 and less than or equal to 0.8
5. greater than 0.8.
The counts in the five groups are 113, 95, 108, 99, and 85, respectively. The probabilities for these five intervals are all the same. What is this probability? Compute the expected number for each interval for a sample of 500. Finally, perform the goodness of fit test and summarize your results.
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
helpppppppppppppppppp
Nathan bought 12 books for a total of $60. At this rate, what is the cost of 4 books?
I NEED THIS SOON PLEASE I'M BEGGING!!!!!
Answer:
$20
Step-by-step explanation:
divide 60÷12 =5 gives the cost of one book
multiply 5×4=20
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
A LOT OF POINTS!!
Suppose you borrow $40,000 at 13% APR for a 12-year term to be paid monthly. Your monthly payment is $450.00.
How much of your first payment goes toward interest?
Make sure you show your work to earn full credit.
Answer:
You get $45,200 first with interest with the 5400 you made in 1 year that dedeucts
Step-by-step explanation:
1.1.4 practice scale drawing
Answer:
Question Unclear
Step-by-step explanation:
Is this relating to your topic?
1.1.4 Practice: Scale Drawings
Practice
Math 7 Sem 2
Points Possible:5
Name:
Date:
Tips for Success
Read the assignment carefully and make sure you answer each part of the question or questions.
Check your work when you're done.
Your Assignment
Jason and Adam are using a kit to build their own electronics board for a computer project. They use a scale drawing included in the instructions to help build the board.
Jason will use the scale factor to find the board's actual length and width, then multiply those dimensions to find the board's area.
Adam says he knows another way.
Answer the questions to show how Adam could find the area of the scale drawing, and then use this strategy to find the area of the electronics board.
1. What is the area of the board shown on the scale drawing? Explain how you found the area.
Write your answer in the space below.
2. How can Adam use the scale factor to find the area of the actual electronics board? Remember, he uses a different method than Jason.
Write your answer in the space below.
3. What is the area of the actual electronics board?
Write your answer in the space below.
What is the PERIMETER of this green rectangle? 3 in. 7in
Answer:
20 in
Step-by-step explanation:
Which equation will create a system of equations with infinitely many solutions?
A) 3x - y=5
B) -3x +y=5
C) 12x + 4y = 20
D) 12x - 4y= 20
Answer:
A and D
Step-by-step explanation:
for infinitely many solutions, ratio of coefficients should be equal.
since ratio = 1/4 so they will have infinitely many solutions.
Well this is very hard and I need help passing do anybody know the answer to this question
Answer:
-1.9
Step-by-step explanation:
53
Given that the measure of angle Xis 132º, and the measure of angle Yis 55°, find the
measure of Angle z
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
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 of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.1333[/tex]
[tex]Z = -0.1333[/tex] has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Is 3/4 closer to 0 or 1?
Answer:
It is closer to 1
Step-by-step explanation:
3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.
The fraction 3/4 is closer to 1.
We have,
To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.
The distance between 3/4 and 0 is 3/4.
The absolute value of the difference is |3/4 - 0| = 3/4.
The distance between 3/4 and 1 is 1 - 3/4 = 1/4.
Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.
In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.
Therefore,
The fraction 3/4 is closer to 1.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9
Answer:
values that make the inequality true would be any absolute number that is bigger than 4
so that would be n>5
Step-by-step explanation:
Phil needs to run at least 30
miles this week for his
training, If he has already run
18 miles this week, then how
mary miles should he run on
each of the 3 remaining days
this week?
I NEED THE INEQUALITIES SOLUTION AND THE GRAPH OF EACH QUESTION
Please please please give me all to each question not just the answer please
IF YOU GIVE ME A LINK I WILL REPORT YOU!
Answer:
The answers to these equations are 4 for the left math problem, 4 for the middle math problem, and 10 for the right math problem.
Step-by-step explanation:
Answer above.
What is the area of this?
Answer:
just multiply 95 times 1.2 which is 114
Could any kind person help me with this equation please
M’ (-4, 7)
N’ (0, 5)
P’ (2, 0)
Q’ (-2, 1)
you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)
F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)
Answer:
Step-by-step explanation:
fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6
gof(x)=g(f(x))=g(3x) =3x+2
gof(2)=3⋅2+2 =6+2 =8
fog(2)=3⋅(2+2) =3*2+6=12
NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the angle of elevation that
the boy has when looking up at the kite?
Sketch a picture and solve. Round to the nearest degree.
ILL MARK YOU THE BRANLIEST ANSWER IF YOU ANSWER FAST PLEASE
Answer:
37
Step-by-step explanation:
I believe you subtract the meters to the meters above the ground
What is the value of x and why
Answer:
x = 7.5
Step-by-step explanation:
If two scants are drawn from a point outside the circle then the product of one secant and its external segment is equal to the product of other secant and its external segment.
By applying this property in the picture attached,
OB × OA = OC × OD
(6 + 3)6 = (12 - x)12
54 = 144 - 12x
12x = 144 - 54
12x = 90
x = 7.5
Alisa has $6.27. She has to give that value to a florist using only coins. How would she do it, using the least number of coins.
Which rational number is the opposite of 1.7? Select all that apply.
-1 7/10
-1.7
1 7/10
Answer:
-1 7/10 and -1.7
Step-by-step explanation:
At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus?
Answer:
450 students
Step-by-step explanation:
Every unitary operator U : X → X is normal. b) A matrix is unitary if and only if it is invertible. c) If two matrices are unitarily equivalent, then they are also similar. d) The sum of self-adjoint operators is self-adjoint. e) The adjoint of a unitary operator is unitary. f) The adjoint of a normal operator is normal. g) If all eigenvalues of a linear operator are 1, then the operator must be unitary or orthogonal. h) If all eigenvalues of a normal operator are 1, then the operator is identity. i) A linear operator may preserve norm but not the inner product.
can someone please show me how to solve this?
surface area: 314
formula: A = 4pi r^2
volume: 523.33
formula: V = 4/3pi r^3
to solve you’d just plug in your radius (r), which in this case it’s 5
:)
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
.........................................
Answer:
Whats wrong??
Step-by-step explanation:
Answer:
you ok ?
Step-by-step explanation:
I dont know what the ......... means
The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.
Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other
The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).
Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73
Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.
Answer:
The null hypothesis is rejected.
Step-by-step explanation:
Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.
H0: p1 = p2 = p3 = p4 = p5 = 0.2
Ha: H0 is not true.
The table is as below:
Twitter Type: Observed Count p E=350*p (O-E)^2/E
IS 50 0.2 70 5.7143
OC 61 0.2 70 1.1571
RT 64 0.2 70 0.5143
ME 102 0.2 70 14.6285
O 73 0.2 70 0.1286
-----------------------------------------------------------------------------------------------
Total 22.1428
The test statistic [tex]\chi^2[/tex] is 22.1421
The degree of freedom d is n-1=5-1 =4
The corresponding p-value from the chi-squared table is .000188.
As this value is less than the p-value for the H0 thus we reject the null hypothesis.
What is the answer please I need help
Answer:
+ 3 , is correct answer
hope it helps
Answer:
+3
Step-by-step explanation:
as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change
What is the volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
97.7
Step-by-step explanation: