Answer:
i would say its b
Step-by-step explanation:
There were 49.7 million people with some type of long-lasting condition or disability living in the United States in 2000. This represented 19.3 percent of the majority of civilians aged five and over (http://factfinder.census.gov). A sample of 1000 persons is selected at random.
a. Approximate the probability that more than 200 persons in the sample have a disability.
b. Approximate the probability that between 180 and 300 people in the sample have a disability.
Answer:
The answer is "0.274 and 0.841"
Step-by-step explanation:
Given:
In this question, let X the binomial random variable with the parameters:
[tex]n = 1000\\\\P = 0.193[/tex]
Calculating the random variable Z:
[tex]Z= \frac{X - np}{\sqrt{np(l - p)}}=\frac{x -193}{12.48}[/tex]
is an approximately regular, cumulative random variable with [tex]\Phi[/tex] specified in the back of the book in the tables.
Using the continuity and tables to calculate:
[tex]\to \mathbb{P} (X > 200) = \mathbb{P} (X\geq 200.5) \approx \mathbb{P}(Z\geq 0.6)=1- \Phi(0.6) \approx 0.274 \\\\\to \mathbb{P} (180 < X < 300) = \mathbb{P} (180.5 \leq X \leq 299.5) = \approx \mathbb{P} (-1 \leq Z\leq 8.53) = \approx 1- \Phi(-1) \approx 0.841[/tex]
(a) The probability that more than 200 persons throughout the sample have a disability will be "0.08691".
(b) The probability that between 180 - 300 people throughout the sample have a disability will be "0.85122".
ProbabilityAccording to the question,
Majority percentage, P = 19.3% or,
= 0.193
Sample person, n = 1000
Q = 1 - P
= 1 - 0.193
= 0.807
By using Normal approx. to Binomial,
→ Mean, E(X) = n × P
By substituting the values,
= 1000 × 0.193
= 193
Standard deviation, X = √n × p × Q
= √1000 × 0.193 × 807
= 12.4800
(a)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{210-193}{12.48}[/tex]
= 1.36
The probability be:
→ P(X > 210) = 1 - P (Z < 1.36)
= 1 - 0.9131
= 0.08691
(b)
Z = [tex]\frac{X - \mu}{\sigma}[/tex]
= [tex]\frac{180-193}{12.48}[/tex] or, [tex]\frac{300-193}{12.48}[/tex]
= 8.57
hence,
The probability be:
→ P (180 < X < 300) = P(Z < 8.57) - P(Z < -1.04)
= 1 - 0.1488
= 0.85122
Thus the answers above are correct.
Find out more information about probability here:
https://brainly.com/question/24756209
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
Slope formula: y2 - y1/x2 - x1
Marcus has 16 4/7 ounces of pretzels that he wants to split equally among 4 people. How many ounces of pretzels will each person get?
Answer:
4 1/7
Step-by-step explanation:
16 4/7 ÷ 4 = 4 1/7
Hope this helps!
Solve for the unknown angle
Answer:
30
Step-by-step explanation:
PLEASE HELPPPP!!!!!!
Step-by-step explanation:
y=kx
say that y is the original prince and x is the sale price
15=k(10)
15/10=k
3/2=k
you can check with the next problem to check if it is the same
25=k(20)
25/20=k
5/4=k
so you take 5/4-3/2=-1/4 so the constant is -1/4
Hope that helps :)
A plumber charges $75 for the service call and $25 per hour (h) for repairs. Write an algebraic expression to represent the total bill for all plumbing services.
A.
(75 + 25)h
B.
75 + 25h
C.
75h + 25
D.
75 + 25 + h
Answer:B i think if wrong im so sorry
Step-by-step explanation:
Answer:
B 75+25h
Step-by-step explanation:
$75 is the first charge for the service and is constant. $25(per hour) is not constant and changes as the time (hours) changes. That's why it has a h next to it, the h is the variable to hold the place for the hours that would be multiplied in the problem.
If b = 5, what is 632
15
25
75
125
Answer:
Step-by-step explanation:
A
Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.?
The length of the 1 inch nail weighing 18 mg is 25.4 mm
What is an equation?An equation is an expression showing the relationship between numbers and variables.
Weight is the quantity of matter stored in an object. The SI unit of weight is the kilograms.
1 inch = 0.0254 meter
1 m = 1000 mm
Given the nail is 1 inch, hence:
1 inch = 0.0254 m
0.0254 m = 0.0254 m * 1000 mm/m = 25.4 mm
The length of the nail is 25.4 mm
Find out more on equation at: https://brainly.com/question/2972832
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two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles
Answer:
The bigger angle is 135, and the smaller angle is 45.
Step-by-step explanation:
First, you have to know that supplementary angles add up to 180°.
We have no equations for the angles, so I will use the variable x for the value of the smaller x.
The reason for this: the problem gave the value of the bigger angle, but relative to the smaller angle. Therefore, it would be safe to assume the use of a variable for the smaller angle.
Since the bigger angle is 3 times as large as the smaller, we can say that the bigger angle is 3x, or 3 times x.
Now, we can put this in an equation: 3x+x=180. Like I said before, both of the angles add up to 180 degrees.
To solve the equation:
1. Combine like terms
4x=180
2. Divide both sides by 4
x=45
Now that we have the value of x, we can plug that in to 3x and x to find the angles.
3*45=135, which is the bigger angle
45, which is the smaller angle.
Write 95300 standard form
Answer:
9.53 x 10^4
Hope this helps.(~ ̄▽ ̄)~
Please mark as Brainiest.
THANKS. \^o^/
If x=7 and y=−3, evaluate the following expression:3x−y2
Answer:
27
Step-by-step explanation:
3x−y2= ? if x= 7 & y= -3
Step 1 insert the numbers where they go:
3(7)-(-3)2=
Step 2 the two negatives become a positive:
3(7)+(3)2=
Step 3 multiply:
21+6=
Step 4 add:
27
i need help :( this problem is very confusing
Answer:
Emily , don't put your whole name in the questions :DDDD, it's at the top of the page, anyway, Eloper .. :DDD
Step-by-step explanation:
It's arithmetic b/c you're just adding 1
arithmetic
1
1
are the answers , the last one is b/c that's the common difference.
Tysm only this one left
Answer:
x = 6
Step-by-step explanation:
3x + 4 = 22
subtract 4
3x = 18
divide by 3
x = 6
Answer:
x=6
Step-by-step explanation:
Subtract 4 from each side of the equation to get 3x=18. divide 18 by 3 to get 6, and divide 3x by 3 to get x. x=6
please do 81 cookies and distributed 44
Answer:
1.84
Step-by-step explanation:
I think you gave the wrong information because if you divided 81 by 44 you will get 1.84...
HELP ME ASAP!!!!!!!!!
Please help
See picture attached.
WINNER GETS THANKS, A STAR RATING-EXCELLENT AND BRAINLIEST!!!!!!!!!! Good Luck!
Happy Easter!
apokibunnyavatar
Answer:
23,26,29,32,35,38,41,44
Step-by-step explanation:
In mathematics, WHOLE NUMBERS are the basic counting numbers 0, 1, 2, 3, 4, 5, 6, … and so on. Whole numbers are the real numbers which includes zero and all the positive integers. Whole numbers don't include negative numbers, fractions, or decimals.
The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120
simplify
( 2 4/5 * 1 3/10) * 1 1/2
Answer:
( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50
Step-by-step explanation:
( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50
Josh is going to the store with $60 to buy candy. bags of candy corn cost $3 & bags of chocolate cost $5 he needs to buy at least 20 bags of candy.
What do I put for the blank space? 3x+5y_60
Answer:
3a+5b
Step-by-step explanation:
Variable 1: a = candy corn
Variable 2: b = chocolate
Inequality 1: 60 ≥ 3a + 5b
Inequality 2: 20 ≤ 3a + 5b
The inequalities are as such because Josh needs to spend no greater than $60. He must also buy at least 20 bags of candy. The candy corn costs $3, while the chocolate costs $5. An expression for the total cost of the candy would be 3a + 5b.
please help there is a picture below
Answer:
4 glasses, point is (32,4)
Step-by-step explanation:
Really tired but if you want an explanation, do tell me.
What are the solutions to 6x²-5x-4=0?
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Step-by-step explanation:
Exact Form:
[tex]x=-\frac{1}{2} , \frac{4}{3}[/tex]
Decimal Form:
x=-0.5, -1.¯3
Hope this helps :)
The weather forecaster says that tomorrow there is a 6% chance that it will rain. Which word or phrase describes the probability that it will rain?
O unlikely
O likely
O impossible
O an equal chance or 50-50
En qué países hispanohablantes se comen muchos frijoles?
From the video capitulo 8
10 POINTS!! Need it now
Answer:
Cuba, Venezuela, Colombia, Mexico
HELP PLEASE ASAP i need the help right answers only!
Answer:
8
Step-by-step explanation:
good luck. hope this helps.
f(x)= x^2 - 7x +12
The above equation is in standard form. Write the above equation in factored form
f(x) = (x-r1)(x-r2)
r1 represents first root, r2 represetnts second root
What are the roots?
Remember, x-r1 = 0 and x-r2=0
Answer:
f(x) = (x - 3)(x - 4)
Step-by-step explanation:
f(x)= x^2 - 7x +12 factors immediately into f(x) = (x - 3)(x - 4).
The roots are {3, 4}
A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?
Answer:
60 degrees
Step-by-step explanation:
s = r (theta)
(theta) = s/r
= 1 / (3/π) = π/3
as a degree π/3 x 180/π = 60
60 degrees
*Circumference = 2πr
6 = 2πr
r = 6/2π = 3/π
Write an equation of the line that passes through the given point and is perpendicular to the given line. 1 (-6, -4); y = 3x + 1
Answer:
y= -1/3x - 6
Explain:
For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be y = -1/3x - 6.
Find the volume of the cylinder
Answer:
pi 50 x^4
Step-by-step explanation:
The volume of a cylinder is
V = pi r^2 h
The radius is 5x and the height is 2x^2
V = pi (5x)^2 * 2x^2
V = pi ( 25x^2) (2x^2)
= pi 50 x^4
Answer:
[tex]50\pi x^{5}[/tex]
Step-by-step explanation:
50π[tex]x^{5}[/tex]
Write the expression using a positive exponent. Leave in fraction form and do not expand numbers, leave in exponential form.
For example, 2^-7 write as 1/2^7, do NOT write as 1/128 or 0.0078125. NO SPACES!
4w^-1
Answer:
Step-by-step explanation:
4w⁻¹ = 4/w¹ = 4/w
Find the balance in the amount after the given period. 5000 principal earning 7% commanded, 7 years
Complete question :
Find the balance in the amount after the given period. 5000 principal earning 7% compounded annually for 7 years
Answer:
8,028.91
Step-by-step explanation:
Given :
Principal, P = 5000
Rate, r = 7% = 0.07
Period, t = 7 years
Using the compound interest formula :
A = P(1 + r/n)^nt
A = final amount ; n = number of compounding times per period
A = 5000(1 + 0.07/1)^(1*7)
A = 5000(1 + 0.07)^7
A = 5000(1.07)^7
A = 5000 * 1.60578147647843
A = 8028.90738239215
Amount saved = 8,028.91
Determine the correlation coefficient (r) for the linear relationship below.
Answer:
X Values
∑ = 53.5
Mean = 10.7
∑(X - Mx)2 = SSx = 151.086
Y Values
∑ = 6.9
Mean = 1.38
∑(Y - My)2 = SSy = 3.788
X and Y Combined
N = 5
∑(X - Mx)(Y - My) = 23.711
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 23.711 / √((151.086)(3.788)) = 0.9911
So r= 0.9911 or 99.11%