Answer:
(a) 8.35
(b) 5.98
(c) 3.86
Step-by-step explanation:
The complete question is:
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The mean response was 5.4 with a standard deviation of 2.3. (a) What response represents the 90th percentile? (b) What response represents the 60th percentile? (c) What response represents the first quartile?
Solution:
Assume that the world happiness ratings follows a Normal distribution with parameters μ = 5.4 and σ = 2.3.
(a)
Compute the response representing the 90th percentile as follows:
P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The value of z for the above probability is, z = 1.282.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(1.282\times 2.3)\\\\=5.4+2.9486\\\\=8.3486\\\\\approx 8.35[/tex]
Thus, the response representing the 90th percentile is 8.35.
(b)
Compute the response representing the 60th percentile as follows:
P (X < x) = 0.60
⇒ P (Z < z) = 0.60
The value of z for the above probability is, z = 0.25.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(0.25\times 2.3)\\\\=5.4+0.575\\\\=5.975\\\\\approx 5.98[/tex]
Thus, the response representing the 60th percentile is 5.98.
(c)
Compute the response representing the first quartile of the 25th percentile as follows:
P (X < x) = 0.25
⇒ P (Z < z) = 0.25
The value of z for the above probability is, z = -0.67.
Compute the value of x as follows:
[tex]x=\mu+z\sigma[/tex]
[tex]=5.4+(-0.67\times 2.3)\\\\=5.4-1.541\\\\=3.859\\\\\approx 3.86[/tex]
Thus, the response representing the first quartile is 3.86.
Isaac is working two summer jobs, making $8 per hour walking dogs and making $16
per hour tutoring. In a given week, he can work a maximum of 8 total hours and must
earn no less than $80. If x represents the number of hours walking dogs and y
represents the number of hours tutoring, write and solve a system of inequalities
graphically and determine one possible solution.
Answer:
8 x 8 =64 + 16 x 8 = 128 =$192
Step-by-step explanation:
Dan loves to compete in triathlons. At a race a few months ago, he finished in 300 minutes. Yesterday, he completed another triathlon and finished in 306 minutes. What was the percent of increase in Dan's finishing time?
Answer:
2%
Step-by-step explanation:
If 300 minutes is 100%, how much percent is 306 minutes?
we need to use the rule of three
306 minutes x 100% / 300 minutes = 102%
Therefore the percent of the increase is 102%-100%= 2%
A box contains 3 blue and 2 red balls
Another contains 2 blue and 1 red .One ball is drawn from each bag
Find the probability
Both balls are white
The two balls are of the same color
The two balls are of different color
Answer:
two balls are of the same color
Step-by-step explanation:
5 blue and 3 red. so its not the same number of each. and there is no white balls.
Somebody help!!
Drop down option for both sin(A) and cos(A) is
Sin(C)
Cos(C)
Cos(B)
Tan(A)
Sin(B)
Answer:
Step-by-step explanation:
sin(A) = cos(C) = 9/41
cos(A) = sin(C) = 40/41
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk?
The number of times Angela needs to fill the 1/4-cup measuring 1/2 cup to pour cup of milk is?
Answer:
2
Step-by-step explanation:
Answer:
(1 / 2 US cups) / (1 / 4 US cups) = 2
Step-by-step explanation:
PLZ MARK Brainliest
Last year 123 students left a college with a pass in English.
This year 27 more students than last year left the college with a pass in English.
The college says
'The number of students leaving college with a pass in English has increased by 24% from last year!
(a) is the college correct?
Show why you think this.
Answer:
yes, (I think)
because 27 more students left this year with a pass and last year the percentage would of been lower I don't know
The college is incorrect, it is 28.125%
What is percentage?Percentage is defined as ratio expressed as a fraction of 100.
No. of students in college in last year = 123 -27 = 96
The number of students leaving college ratio = (27/96)×100%
⇒0.28125×100%
⇒28.125%
The college says,
'The number of students leaving college with a pass in English has increased by 24% from last year
Hence, The college is incorrect, it is 28.125%
Learn more about percentage
brainly.com/question/24159063
#SPJ2
Help!!!!!! Quick
Evaluate (x + y)° for x = -3 and y = 5.
- 1/2
2
1
O
Answer:
it is 1
Step-by-step explanation:
The power of 0 causes all numbers to negate to 1.
Anything to the power of 0 is 1
For example:
(10)^0 = 1
What is 1,035 divided by 5 and what is 1,766 divided by 8?
Answer:
1,035 divide by 5 = 207
1,766 divide by 8 = 220.75
The sum of three consecutive integers is -561. What are the
integers?
I
Answer:
-188, -187, -186
Step-by-step explanation:
x + (x+1) +(x+2) will usually be the formula for questions like this. If there wer 4 consecutive numbers, you just add (x+3) and so on.
The three integers are:
x + (x+1) + (x+2) Simplify this :
3x+3 = -561 Get 3x by itself, subtract 3 on both sides:
-3 -3
3x = -564 Find x divide -564 and 3:
x = -188
-188 is the first number now you count up.
-188 is the first number, -187 is the second, -186 is the third.
Hope this helps : )
Rami is thinking of a number that contains the digit 9. The digit 9 in Rami's number has 10 times the value of the digit 9 in the number 384,293.
Which number could be the number that Rami is thinking of?
127,903
289,302
490,374
903,852
Can someone explain what is domain and range? Gcse math level please
In Jamie's town, there are 42,812 adults and 12,358 children. About how many more adults than children are in Jamie's town?
Answer:
30454
Step-by-step explanation:
subtraction on a calculator
42812-12358=30454
If 1 thousand dollars gets you 15 million toys how many toys can I buy with 40,000 dollars?
Answer:
600 billion toys
Step-by-step explanation:
40,000 × 15,000,000 = 600,000,000,000
Math math math help help
Answer:
C. No -- Mitch's line is incorrect because he should draw it so that data points are above and below the trend line.
Explanation:
This is what is known as having a line of best fit. The data points should at least nearly be evenly distributed on both sides of the line for it to be a good line of best fit. You should also make sure that you have at least a few points TOUCHING the line. This is a majour part of having a line of best fit.
I am joyous to assist you at any time.
The answer is C. Hope this helps :)
WILL MARK AS BRAINLIEST!!
Answer:
Put an open circle on 5 and have the arrow point in the positive direction.
Step-by-step explanation:
Answer:
a > 5 or a ∈ ( 5 , ∞ )
Step-by-step explanation:
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 59 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.
Using the normal distribution, it is found that there is a 0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are, respectively, given by [tex]\mu = 100[/tex] and [tex]\sigma = 15[/tex].
The probability of a random person on the street having an IQ score of less than 98 is the p-value of Z when X = 98, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.13[/tex]
[tex]Z = -0.13[/tex] has a p-value of 0.4483.
0.4483 = 44.83% probability of a random person on the street having an IQ score of less than 98.
More can be learned about the normal distribution at https://brainly.com/question/24663213
100 divide by 37
Can yall help me on this one?
pls help answer this
if the circumfrence if a circular sheet is 154 then find the radius and area.
take π as 22/7
Answer:
1886.5
Step-by-step explanation:
2πr=154
2*22/7*r=154
44/7r=154
44r=1078
r=24.5
now,
area=πr²
=22/7*(24.5)²
=1886.5
In Table 2. at this rate, how much would it
cost to buy 9 books?
(dont mind about the cups of flour)
solve this 28 - x = 24
Answer:
=> 28 - x = 24
=> x = 24 - 28
=> x = -4
therefore, 28 - 4 = 24
Calculate the distinct permutation of the word "Math"
Letters are
MATHNo repetitions
n=4Distinct permutation:-
n!4!4×3×2×124What is the value of x?
Can someone help Idk how to do this??
Answer:
x=92
Step-by-step explanation:
360-60-90-73-45=92
Which of the following graphs is a function?
Answer:
a
Step-by-step explanation:
because of the line test
A grocery store sells sliced turkey. The graph shows the relationship between the weight of the sliced turkey and the total cost of the sliced turkey. Two points, R and W, are labeled on the graph shown below.
Answer:
The correct option is ⇒ Point W means that that unit rate is $2.5 per pound.
Step-by-step explanation:
The question missing the graph and the options
The options for the questions are:
1) Point R means that that unit rate is $10 per pound.
2) Point R means that that unit rate is 4 pounds per dollar
3) Point W means that that unit rate is $2.5 per pound.
4) Point W means that that unit rate is 2.5 pounds per dollar.
And see the attached figure.
As shown in the figure attached
The unit rate will be the total cost per weight
By calculating the unit rate for the graph = (y2-y1)/(x2-x1)
using the given points (4,10) , (1,2.5)
the unit rate = (10-2.5)/(4-1) = 7.5/3 = 2.5
The unit rate means that it will cost $2.5 per pound and this is a gree with the point W which have the same meaning.
So, The correct answer is option 3.
Step-by-step explanation:
Emilliano thinks x =40 is the solution to the equation 1/2 x =80. explain why he is wrong
Answer/Step-by-step explanation:
Given:
Emiliano thinks x = 40 is the solution to the equation 1/2x = 80
Note:
An equation is the statement that equalizes two mathematical expressions.
An expression is the combination of variables and constants connected with mathematical operations.
Solve:
Substituting the value of x, in the equation
1/2(4) = 80
20 ≠ 80
Thus, it isn't satisfied. Hence, Emiliano's answer is wrong.
Correct Way to Solve;
Multiply both sides by 2
2 · [tex]\frac{1}{2}x[/tex] = 80 · 2
Simplify
x = 160
~Learn with Lenvy~
0.28N − 0.86(N −4.70) = 8.02
Help me! Please! I’ll mark you brainless
I'm not sure but I think the answer is - 1/2
Angle MNP ~ Angle HJK. Both triangles are isosceles. If m
[tex]\binom{dy}{dx} \sqrt{x} [/tex]
find the derivative of x
(-3)(a+x) if a=8 and x=-10
Answer:
6
Step-by-step explanation:
(-3×a)+(-3×x)
(-3×8)+(-3×-10)
-24+30
6
or
(-3)×(8+(-10))
-3 × -2
6