Answer: The answer is 1:2, i hope it helps.
According to a government study, among adults in the 25- to 34-year age group, the mean amount spent per year on reading and entertainment is $2,060. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $495. Use Appendix B.3. (Round your z-score computation to 2 decimal places and final answers to 2 decimal places.) What percent of the adults spend more than $2,575 per year on reading and entertainment
Answer:
The answer is [tex]15.00[/tex] %
Step-by-step explanation:
Let's start defining the random variable. We have the following variable :
[tex]X:[/tex] '' The amount spent per year on reading and entertainment among adults in the 25- to 34- year age group ''
We assume that [tex]X[/tex] follows the normal distribution. We can write :
[tex]X[/tex] ~ N ( μ , σ )
Where μ is the mean of the distribution and σ is the standard deviation (both are parameters from the normal distribution). Using the data from the question :
[tex]X[/tex] ~ [tex]N(2060;495)[/tex]
In order to answer the question, we first must calculate the probability :
[tex]P(X>2575)[/tex] (I)
We are going to calculate this probability by making a substitution. If we substract the mean to the variable [tex]X[/tex] and then divide by the standard deviation, we obtain a new variable [tex]Z[/tex] which can be modeled as a [tex]N(0;1)[/tex]. This is convenient because the cumulative distribution from [tex]Z[/tex] is tabulated and can be found on any book or either in Internet.This process is called standardizing the variable :
[ ([tex]X[/tex]-μ) / σ ] = [tex]Z[/tex] ~ [tex]N(0;1)[/tex] ⇒ If we apply this to the equation (I) ⇒
[tex]P(X>2575)=P(Z>\frac{2575-2060}{495})=P(Z>1.04)[/tex]
Then,
[tex]P(Z>1.04)=1-P(Z\leq 1.04)[/tex] (II)
Looking in any cumulative distribution table of [tex]Z[/tex] ⇒ [tex]P(Z\leq 1.04)=0.85[/tex]
If we replace this value in (II) ⇒
[tex]P(Z>1.04)=1-P(Z\leq 1.04)=1-0.85=0.15[/tex]
Using percent we obtain [tex]15.00[/tex] %
Which number did
DennisMark and labor closest to five
Thank you for helping me
Answer:
4,8 is the answer
hope it helped
can you make me brianliest
PLEASE HELP!!!! I would really appreciate it!!! :)
Write an equation in slope-intercept form of the line that passes through -9, 5 and -3,3 .
Answer:
y = -1/3x + 2
Step-by-step explanation:
First, find the slope using rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 - 5) / (-3 + 9)
-2 / 6
= -1/3
Plug in a given point and the slope into y = mx + b, and solve for b:
y = mx + b
3 = -1/3(-3) + b
3 = 1 + b
2 = b
Plug in the slope and y intercept into y = mx + b
y = -1/3x + 2
So, the equation is y = -1/3x + 2
the suppliment angle of 3 by 4 of 160 ° is
please help me with this
9514 1404 393
Answer:
MN = 68°LM = 25°KLN = 180°JLN = 248°JN = 112°NJL = 267°Step-by-step explanation:
The relevant relationships are ...
the sum of arcs around a circle is 360°a diameter divides the circle into two 180° arcsthe whole is the sum of the partsthe measure of an arc is the measure of the corresponding central angle__
The arc measures can be found to be ...
MN = 68°
LM = 180° -68° -87° = 25° . . . . semicircle KLN less the marked angles
KLN = 180° . . . . a semicircle
JLN = JM +MN = 180° +68° = 248° . . . . semicircle JLM + MN
JN = 180° -68° = 112° . . . . semicircle JNM less MN
NJL = 180° +87° = 267° . . . . semicircle NJK + KL
According to a survey conducted by Deloitte in 2017, 0.46 of U.S. smartphone owners have made an effort to limit their phone use in the past. In a sample of 96 randomly selected U.S. smartphone owners, approximately __________ owners, give or take __________, will have attempted to limit their cell phone use in the past. Assume each pick is independent
Answer:
44.16 ; 4.88
Step-by-step explanation:
Recall :
Mean, μ = np
Sample size, n = 96
Sample proportion, p = 0.46
For the mean :
Mean, μ = 96 * 0.46
0.46 * 96 = 44.16
The standard deviation :
σ = √npq
q = 1 - p = 1 - 0.46 = 0.54
σ = √npq = √(96 * 0.46 * 0.54)
σ = √23.8464
σ = 4.88
There are 4 blueberry, 6 raisins, and 2 plain bagels in a bag. Mike randomly selects two bagels without replacing the first bagel. Find the probability that he selects a raisin bagel and then a plain bagel
Answer: 1/9
Step-by-step explanation: add all the numbers up, so 4+6+2=12, which is the denominator. First, we find the rasin bagel, which 8/12=4/6=2/3 times the number of plain bagel which is 2/12, or 1/6. 2/3*1/6=2/18=1/9. Tell me if I get it right or not.
Solve for <2.
499
62 = [?]
44/42
Answer:
Solution given'
<2+90+49=180°[sum of interior angle of a triangle]
<2=180-139
<2=41°
Plz help me well mark brainliest if you are correct!.....
Answer:
The first one is the answer to the question
What percent of 186 is 93?
No links please help
Answer: 50%
Step-by-step explanation:
Answer:
What percent of 186 is 93?
answer:50
A painter bought 12 gallons of paint, just
enough to cover two rooms. One room is
twice the size of the other and requires
three coats of paint. The smaller room
requires only two coats. Then the client
decided not to paint the smaller room
after all.
Let x be the number of gallons it takes for one
coat of paint in the large room and y the
number for one coat of paint in the small room.
How many gallons of paint will be left?
Answer:
3 gallons of paint hope it helps my guy
find the rational number halfway between 1/5 and 1/6
Nathan is a recreational cyclist. He can travel 10 miles in one hour on his bicycle. Which graph represents the number of miles Nathan can travel in x hours?
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]1\ hr = 10\ miles[/tex]
Required
The graph that shows the number of miles in x hours
We have:
[tex]1\ hr = 10\ miles[/tex]
Multiply both sides by x
[tex]x * 1hr = 10miles * x[/tex]
[tex]xhr=10x\ miles[/tex]
So, the function is:
[tex]f(x) =10x[/tex]
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
The numerator of a fraction is 9 and the denominator is 6. All of the following numbers are equivalent except ____.
○ 2/3
○ 3/2
○ 1 ½
○ 18/12
Answer:
2/3
Step-by-step explanation:
Raffle tickets will be sold at an event. The graph shows the amount of revenue, in dollars, the event will raise if different numbers of tickets are sold. 100 How much revenue will the event raise for each raffle ticket sold? 90 А $4.00 80 B $2.00 70 С $1.50 D $0.75 60 Revenue (5) SO 40 30 20 10 4 8 12 16 28 32 20 24 Tickets Sold 36 40
9514 1404 393
Answer:
C. $1.50
Step-by-step explanation:
The graph is a straight line through the origin, so the revenue is proportional to the number of tickets. The ratio of revenue to tickets will tell you the money raised for each ticket sold. Pick any point on the graph and divide the revenue value by the number of tickets.
The division can be easy if the number of tickets is 10. We see that the revenue for 10 tickets is $15, so the amount raised for each ticket is ...
$15/10 = $1.50 . . . . raised per ticket sold
can someone help me please please?
Answer:
22
Step-by-step explanation:
Count the dot
4) If the sum of two numbers is 64, and the larger number is 3 less than 3 times the
smaller number. Find the smaller number.
Answer:
x = 67/4
Step-by-step explanation:
Let x = smaller number and y = bigger number
Then x +y = 64 and y = 3x-3
Plugging y into x+y = 64
x + 3x -3 = 64
4x = 67
x = 67/4
Hope it helps.
i need help on this PLS
Answer:
go on MATH.WAY. it'll give you the answer and explanation
Step-by-step explanation:
A house plan is drawn to the scale of 1/4 inch = 4 ft. What is the length of the house if it measures 3 3/8 inches on the floor plain.
Answer:
54
Step-by-step explanation:
3 3/8 / 1/4 = 13 1/2
13 1/2 x 4 = 54
53,421 divisible by 3
Answer:
1
53421 divided by three is 17807
Help with question 7 and 9 pls I rlly need help.
Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?
Answer:
12:10Step-by-step explanation:
We need to add up the times:
35 mins+ 35 mins + 45 mins+ 60 mins= 35+35+45+60= 175 mins
In hours, that would be 2 hrs, and 55 mins
So; 9:15 + 2 hrs and 55 mins= 12:10
Jessica is making cookies. Each batch requires 1/4 cups of sugar. If she has 3 cups of sugar, how many batches can she make total?
Find the volume of the composite figure. Round your answer to the nearest hundredth.
A. 509.77 mm
B.
589.24 mm
C. 590.77 mm
D. 598.24 mm
Answer:
c. 590.77
Step-by-step explanation:
on e2020 :)
Solve for x.
X + 9
2x 111
x = [?]
Answer:
120
Step-by-step explanation:
Angle x + 9 and 2x - 111 are adjacent angles.
Adjacent angles are equal.
2x - 111 = x + 9
2x - x = 9 + 111
x = 120
Answer:
2x-111=x+9[corresponding angle]
2x-x=111+9
x=120
HELP. LIKE- WHICH ONE IS THE ANSWER? ALSO EXPLAIN A BIT
Answer:
perpendicular lines are when two lines intercect in a right angle. so it would be A then
Step-by-step explanation:
A has a right degree angle where the two lines cross, so this is the answer
B that is not a right angle it has acute and obtuse angles
C does not even have two lines that touch
D the two lines don't cross at all
E is an acute angle
B, C,D, and E are not the answers
Use the function below to find F(3).
F(x) = (1/4)^x
Answer:
The answer is 0.015625
Answer:
Step-by-step explanation:
F(x) = (1/4)^x F(3)
F(3) = (1/4)^3
F(3) = (1/4)×(1/4)×(1/4)
F(3) = 1/64
Find the slope of the line that passes through (-1, -3) and (-2,2).
Answer:
-5
Step-by-step explanation:
Answer:
slope = -5
Step-by-step explanation:
m = y2-y1/x2-x1 (this is the equation for finding a slope of 2 points)
so plug them into this equation.
2+3/-2+1 = 5/-1 = -5.
the slope is -5