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 $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456. 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 $2,600 per year on reading and entertainment
Answer:
z = x-u/s
z = 2600 - 2020/456
z = 1.27
= .897
1-.898 = .102
z > 1.27 = 10.2%
The percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
What is the z-score?The standard score in statistics is the number of standard deviations that a raw score deviates from or exceeds the mean of the phenomenon being observed or assessed. Standard scores are positive for raw scores above the mean and negative for raw scores below the mean.
Given that 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 $2,020. Assume that the distribution of the amounts spent follows the normal distribution with a standard deviation of $456.
The percentage will be calculated as,
z = x-u/s
z = 2600 - (2020/456)
z = 1.27
The value of z=1.27 in the table is 0.897. The percentage will be calculated as,
P = 1-.898 = .102
z > 1.27 = 10.2%
Therefore, the percentage of adults spending more than $2,600 per year on reading and entertainment is 10.2%.
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Find the perimeter of the triangle whose vertices are the following specified (0,3), (-10,-4) (-9,-7) points in the plane.
Answer:
The perimeter of the triangle is 28.82
Step-by-step explanation:
Please check the image uploaded for the diagram.
Perimeter = d₁ + d₂ + d₃
[tex]d_1 = \sqrt{(-10-0)^2 + (-4-3)^2} = \sqrt{100+49} =\sqrt{149} = 12.21\\\\d_2 = \sqrt{(-9-0)^2 + (-7-3)^2} = \sqrt{81+100} =\sqrt{181} = 13.45\\\\d_3 = \sqrt{(-10+9)^2 + (-4+7)^2} = \sqrt{1+9} =\sqrt{10} = 3.16\\\\Perimeter = 12.21 + 13.45 + 3.16 = 28.82[/tex]
ACTIVITY 1 Directions: Interpret these circle graphs
A. The pie graph below shows what a normal human body is made of.
Questions:
1. As shown in the graph,what composes the human body?
2. Which makes up the greatest part of the human body? the least?
Step-by-step explanation:
1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)
2) muscle makes up the greatest part and the minerals makes up the least.
hope it heals u.
make me brain list Pls.
Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?
The gap consists of the values 6 and 7.
Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.
Answer:
The gap is present around 6 & 7
Step-by-step explanation:
Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Answer:
3 1/3 each
Step-by-step explanation:
10/3=3 1/3
What is the value of X
A. x=20
B. x=15
C. x=10
D. x=5
Two and three fifths plus one and three fifths
Answer:
2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5
5 5
Step-by-step explanation: The Slashes mean The number bellow
Please make this answer Brainlist...
Workplace accidents are categorized in three groups: minor, moderate, and severe. The probability that a given accident is minor is 0.5, that it is moderate is 0.4, and that it is severe is 0.1. Two accidents occur independently in one month. Calculate the probability that neither accident is severe and at most one is moderate.
Answer: The probability when neither of the accidents is severe and at most one is moderate is 0.65
Step-by-step explanation:
Given values:
Probability when the accident is minor = 0.5
Probability when the accident is moderate = 0.4
Probability when the accident is severe = 0.1
As two accidents are occurring independently and we need to calculate the probability of an event that neither accident is severe and at most one is moderate.
So, the equation for the probability becomes:
[tex]=\text{P[moderate, minor]}+\text{P[minor, moderate]}+\text{P[minor, minor]}\\\\= (\text{P[moderate]}\times \text{P[minor]}) + (\text{P[minor]}\times \text{P[moderate]}) + (\text{P[minor]}\times \text{P[minor]})[/tex]
Putting values in above equation, we get:
[tex]=[(0.40)\times (0.5)] + [(0.5)\times (0.4)] +[((0.5)\times (0.5)]\\\\= 0.65[/tex]
Hence, the probability when neither of the accidents is severe and at most one is moderate is 0.65
Three rectangular prisms each have a height of 1 cm.
. Prism A has a base that is 1 cm by 11 cm
* Prism B has a base that is 2 cm by 7 cm SA +V
Prism C has a base that is 3 cm by 5 cm.
1. Find the surface area and volume of each prism. Use the dot paper to draw the prisms, if needed.
Answer:
A: SA = 46 cm^2; V = 11 cm^3
B: SA = 46 cm^2; V = 14 cm^3
C: SA = 46 cm^2; V = 15 cm^3
Step-by-step explanation:
SA = 2B + PH = 2LW + PH
where SA = total surface area,
B = area of a base
P = perimeter of the base
H = height of the prism
L = length of the base
W = width of the base
V = LWH
Prism A:
SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)
SA = 46 cm^2
V = (11 cm)(1 cm)(1 cm) = 11 cm^3
Prism B:
SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)
SA = 46 cm^2
V = (7 cm)(2 cm)(1 cm) = 14 cm^3
Prism C:
SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)
SA = 46 cm^2
V = (5 cm)(3 cm)(1 cm) = 15 cm^3
76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?
My rule is: y = 1/3x + 11/15
Find y, if x=1
Find y, if x=6
m(x) = x2 + 4x
n(x) = x
(mn)(x) =
x2 + 4x(x)
(x2 +4x)(x)
Answer:
Answer:
1. B. (x^2 + 4x)(x)
2. A. (x^3+4x^2)
3. 9
4. 0
5. 1
Step-by-step explanation:
Triangle D E F is shown. Angle E F D is a right angle. The length of E F is 24 and the length of D F is 7.
Which trigonometric ratios are correct for triangle DEF? Select three options.
sin(D) = StartFraction 24 Over 25 EndFraction
cos(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 24 Over 7 EndFraction
sin(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 7 Over 24 EndFraction
Answer:
Sin(E) = 7/25
Sin(D) = 24/25
Tan(D)= 24/7
Step-by-step explanation:
Sin=opp/hyp
Tan=opp/adj
Cos=adj/hyp
The trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7
How to determine the trigonometric ratios?The given parameters are:
EF = 24
DF = 7
Start by calculating the length DE using:
DE²= EF² + DF²
So, we have:
DE²= 24² + 7²
Take the square root of both sides
DE= 25
The sine of the angles is calculated using:
sin(Ф) = opp/hyp
So, we have:
sin(E) = 7/25
sin(D) = 24/25
The tangent of the angles is calculated using:
tan(Ф) = opp/adj
So, we have:
tan(D)= 24/7
Hence, the trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7
Read more about trigonometric ratios at:
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An item costs S430 before tax, and the sales tax is $17.20.
Find the sales tax rate. Write your answer as a percentage.
Answer:
Step-by-step explanation:
430
x4%
_________
$17.20+ $430= $447.20
4/8 =?/2 please answer
Answer:
? = 1
Step-by-step explanation:
4/8 = ?/2
Change the ? into a variable so it's easier to calculate:
Variable x = ?
4/8 = x/2
Cross multiply:
4 × 2 = 8 × x
8 = 8x
Divide both sides by 8 to isolate the variable:
1 = x
Check your work:
4/8 = 1/2
4 × 2 = 8 × 1
8 = 8
Correct!
One difference between objects and data types is that it is usually not meaningful to compare the identities of separate instances of data types, but for objects it is valuable to compare separate object identities. Group of answer choices
Answer and explanation:
Question isn't complete but explanation is given below based on what you may be asking.
Answer and Explanation:
First, An object is a data type but is quite different from the usual or primitive data types such as string or integers. An object is based on object oriented programming(OOP) and is a sort of abstract data type which is usually defined by the programmer(some are inbuilt in the language). Objects are usually defined using classes and then become instances of those classes. Objects have identities(e.g- a dog has a name Zeus) and be compared to other objects of same class(other instances) while data types are not as well equipped to have identities, properties or methods that are user defined in order to make comparisons.
lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx
We're given the one-sided limit,
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]
Evaluating the limand directly at x = 1 gives the indeterminate from
(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0
so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives
[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]
) A desk organizer sells for $35, which includes a markup rate of 60% based on the selling price.
a. Find the markup.
b. Find the cost.
Answer: a. $21
b. $14
Step-by-step explanation:
Selling price of desk organizer = $35
Markup rate = 60%
a. The markup will be:
= Markup rate × Selling price
= 60% × $35
= 0.6 × $35
= $21
Therefore, the markup is $21
b. The cost will then be:
Cost price = Selling price - Markup
= $35 - $21
= $14
Ethan is 1.6 metres tall, Uzma is 154 cm tall.
Work out how much taller Ethan is than Uzma.
Answer:
1.6 metres is 160 centimetres
Ethan is 6 centimetres taller than Uzma
Keith is looking at a cliff. He determines that the angle of elevation to the top is 70° from where he is at. 70m away from Keith, Alan estimates the angle between the base of the cliff, himself, and Keith to be 29° while Keith estimates the angle between the base of the cliff, himself, and Alan to be 48°. What is the height, h, of the cliff to the nearest tenth of a metre?
1) 78.8m
2) 83.9m
3) 89.0m
4) 95.7m
This question completely baffled me on my homework, I still haven't done it because I don't even know how to approach it (Since it's a 3D problem)
Please help me out
Also, this homework is due in an hour so I'm starting to sweat
9514 1404 393
Answer:
4) 95.7 m
Step-by-step explanation:
The angle at the cliff base between Alan and Keith is ...
B = 180° -29° -48° = 103°
The law of sines will tell you the distance KB from Keith to the cliff base is
KB/sin(A) = KA/sin(B)
KB = KA×sin(A)/sin(B) = (70 m)sin(29°)/sin(103°) ≈ 34.82935 m
The height of the cliff is found from the tangent relation ...
Tan = Opposite/Adjacent
tan(70°) = height/(34.83 m)
height = (34.83 m)tan(70°) = 95.693 m
The height of the cliff is about 95.7 m.
_____
Additional comment
These problems can usually be resolved into two 2-D problems. Here, we can work out the distance we need from Keith to the cliff by considering only the ground plan of the site. Then we can work out the height of the cliff only considering the vertical plane containing Keith and the base of the cliff.
The attachment shows the ground plan triangle KAB.
How to solve the inequality 8x + 10 ≤ 60
Answer:
x ≤ 6.25
Step-by-step explanation:
8x + 10 ≤ 60
Subtract 10 from both sides
8x ≤ 50
Divide both side by 8
x ≤ 6.25
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which is the graph of an even monomial function?
Answer:
The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.
if a student is selected at random, find the probability that the student is 14 year old
Answer:
If the student is selected at random the answer is if you put 14 years apart of the student selected at random means the answer are not apart.
Step-by-step explanation:
14 years selected the problem is that 14-9 is more then 9 and u add that up to get the right equation for the 14 years apart
write an equation of the line below
please help step by step, please
9514 1404 393
Answer:
title: 300%payday: 650%check cashing: 214%Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal amount loaned, r is the annual rate, and t is the time in years. Solving for interest rate, we get ...
r = I/(Pt)
We assume 12 months or 52 weeks in a year.
__
Car title loan
r = 125/(500×1/12) = 3 × 100% = 300%
The APR is 300%.
__
Payday loan
r = 125/(500×2/52) = 6.5 × 100% = 650%
The APR is 650%.
__
Check cashing
r = 19.66/(478.41×1/52) ≈ 2.1369 × 100% ≈ 214%
The APR is about 214%.
In the context of communication, which of the following statements is true of people from high-context cultures? a) They prefer the use of the direct, get-down-to-business conversation style.
b) They focus on the use of precisely written legal contracts.
c) They give importance to the position, age, and seniority of parties in a conversation.
d) They focus on the actual spoken and written word.
y = 4cos pi * x + 3
It’s asking me for the function’s transformations I already have vertical stretch and and horizontal shrink there is one last one and the options are:
Translation right 3
-
Translation down 3
-
Translation up 3
-
Translation left 3
9514 1404 393
Answer:
Translation up 3
Step-by-step explanation:
Adding 3 to the function value translates its graph up 3 units.
Maddy has a bag of 36 marbles. The probability of picking green is 1 in 2, the probability of picking red is 1 in 3, and the probability of picking blue is 1 in 9. The only other color in the bag is black. Find the probability of Maddy picking a black marble.
Answer: 1 in 18
This is the same as writing the fraction 1/18
==============================================================
Explanation:
Since she has 36 marbles total, and the probability of picking green is 1 in 2, this means (1/2)*36 = 18 marbles are green.
Then she also has (1/3)*36 = 12 red marbles and (1/9)*36 = 4 blue marbles.
So far, that accounts for 18+12+4 = 34 marbles in all. That leaves 36-4 = 2 marbles left over that must be black, as it's the only color left.
From that, the probability of choosing a black marble is 2/36 = 1/18.
There's a 1 in 18 chance of Maddy picking a black marble.
1/18 = 0.0556 = 5.56% approximately
Find the area
10
7
12
4
5
5
Answer:
[tex]{ \tt{area = (7 \times 10) + (12 \times 4) + (5 \times 5)}} \\ { \tt{ = 70 + 48 + 25}} \\ { \tt{ = 143 \: {in}^{2} }}[/tex]
Answer: break into 2 rect and 1 sqr the sum areas of each
Step-by-step explanation: square = 5x5
Rectangle 1 = 10x7
Rectangle 2 = 12x4
Sum each shape area = total area
4
)
5 + 15x
42x + 4
A) -2
C) -10
B) 3
D) -8
Answer:
D
Step-by-step explanation:
D
