In the population of young children eligible to participate in a study of whether or not their calcium intake is adequate, 52% are 5 to 10 years of age and 48% are 11 to 13 years of age. For those who are 5 to 10 years of age, 18% have inadequate calcium intake. For those who are 11 to 13 years of age, 57% have inadequate calcium intake.
Required:
a. Use letters to define the events of interest in this exercise.
b. Convert the percents given to probabilities of the events you have defined.
Answers
Answer:
(a) A = 5 to 10 years old
B = 11 to 13 years old
C = adequate calcium intake
I = inadequate calcium intake.
(b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.
Step-by-step explanation:
Complete question
Please find the attached image
(a) A = 5 to 10 years old
B = 11 to 13 years old
C = adequate calcium intake
I = inadequate calcium intake.
b) P(A) = 0.52, P(B) = 0.48, P(I|A) = 0.18, P(I|B) = 0.57.
Related Questions
( 0 , -1 ) , ( 1,3)
Which equation is satisfied by BOTH of these pairs of numbers ( x , y ) ?
A. x + y = -1
B. 2x + y = 5
C. 3x - y = 0
D. 4x - y = 1
Answers
Answer:
D 4x-y=1
Step-by-step explanation:
4x-y=1. (x=0 ,y= -1)
4(0)-(-1)= 1
0+1= 1
4x-y=1 (x=1 y=3)
4(1)-3=1
4-3=1
a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate
Answers
Answer:
8%
Step-by-step explanation:
Rate = 100×Interest ÷ Principal× Time
100× 2500/ 2500 × 8 = 800
800/100 = 8%
I hope this helps
What is the value of the expression 2x^2 + 3xy - 4y^2 when x = 2 and y = -4?
Answers
Answer:
-80
Step-by-step explanation:
2x^2 + 3xy - 4y^2
x = 2 | y = - 4
2(2)^2 + 3(2)(-4) - 4(-4)^2
2 * 4 + 3(2)(-4) - 4 * 16
8 - 24 - 64
-80
what is the sum of the angles of a triangle
Answers
Answer:
Triangle has 180 degrees
Squares have 360 degrees
The smallest number by which 48 should be multiplied so as to get a perfect square is
Answers
Answer:
3
Step-by-step explanation:
hrhrhehrhrhrhrhruruurruururuur
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 16,12,17,8,15,15,10,11,19,18
Answers
Answer:
[tex]Range = 11[/tex]
[tex]\sigma^2 = 12.1[/tex]
[tex]\sigma = 3.5[/tex]
Step-by-step explanation:
Given
[tex]Data: 16,12,17,8,15,15,10,11,19,18[/tex]
Solving (a): Range
This is calculated as:
[tex]Range = Highest - Least[/tex]
Where:
[tex]Highest = 19[/tex]
[tex]Least = 8[/tex]
So:
[tex]Range = 19 - 8[/tex]
[tex]Range = 11[/tex]
Solving (b): The population variance
First, calculate the population mean using:
[tex]\mu = \frac{\sum x}{n}[/tex]
So:
[tex]\mu = \frac{16+12+17+8+15+15+10+11+19+18}{10}[/tex]
[tex]\mu = \frac{141}{10}[/tex]
[tex]\mu = 14.1[/tex]
So, the population variance is:
[tex]\sigma^2 = \frac{\sum(x - \mu)^2}{n}[/tex]
[tex]\sigma^2 = \frac{(16 - 14.1)^2 + (12 - 14.1)^2 +............... + (19- 14.1)^2 + (18- 14.1)^2}{10}[/tex]
[tex]\sigma^2 = \frac{120.9}{10}[/tex]
[tex]\sigma^2 = 12.09[/tex]
[tex]\sigma^2 = 12.1[/tex] --- approximated
Solving (c): The population standard deviation.
This is calculated as:
[tex]\sigma = \sqrt{\sigma^2[/tex]
[tex]\sigma = \sqrt{12.09[/tex]
[tex]\sigma = 3.5[/tex]
The bike you have been saving for is discounted 25%. You have $500 saved to purchase it. The original, non-discounted price of the bike is $575. There is a 5.60% sales tax added to the price of the bike. After you purchase the bike with the discount and sales tax, how much money will you have left over? Round your answer to the nearest dollar.
Answers
Help me outtttttttttto
Answers
Answer:
,
Step-by-step explanation:
hear is your answer please give me Some thanks
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width.
Recall that the formula for the volume of a rectangular prism is V = l · w · h, where l is the length, w is the width, and h is the height.
Write the equation that represents the volume of the storage container in terms of its width.
A.
V = 6w2 + 12w
B.
V = 6w2 - 12
C.
V = 6w2 + 12
D.
V = 6w2 - 12w
Answers
Answer:
A
Step-by-step explanation:
Step 1, setting variables:
We already know the exact height of the prism: 6 feet. We can set the unknown width as variable x, and length as x+2 (length is two feet more than width).
Step 2, writing equations:
Great! We have everything now. Let us write the equation by substituting our variables in:
[tex]V=l*w*h\\V=6w(w+2)\\[/tex]
Ok! Let us expand the equation:
[tex]V=6w^2+12w[/tex]
[tex]\fbox{A}[/tex]
I hope this helps! Let me know if you have any questions :)
At a price of per ticket, a musical theater group can fill every seat in the theater, which has a capacity of . For every additional dollar charged, the number of people buying tickets decreases by . What ticket price maximizes revenue? Revenue is maximized when the price is
Answers
Answer:
The appropriate answer is "$12".
Step-by-step explanation:
As per the question,
Price per ticket,
= [tex]4+k[/tex]
Number of people,
= [tex]1800-90k[/tex]
Now,
The revenue (R) will be:
= [tex]Price \ per \ ticket\times Number \ of \ people[/tex]
By putting the values, we get
= [tex](4+k) (1800-9k)[/tex]
= [tex]-90k^2+1440k+7200[/tex]
or,
⇒ [tex]R'=1440-180k=0[/tex]
⇒ [tex]180k=1440[/tex]
⇒ [tex]k=\frac{1440}{180}[/tex]
[tex]=8[/tex]
hence,
The ticket price will be:
= [tex]4+k[/tex]
= [tex]4+8[/tex]
= [tex]12[/tex] ($)
20 men can do a piece of work in 24 days. After working for few days, 3 men are added and the work was finished 3 days earlier. After how many days if 4 men are added?
Answers
Answer: 17 and a half
Step-by-step explanation:
M D W
20 24 480
20 21 420
24 17 and a half 420
= 17 and a half
what is the value of x?
Answers
Answer:
46
ayo how r u doin siahsvsgshsgsgsgsg
Given that 4x – 5y = 12 Find y when x = -3 Give your answer as an improper fraction in its simplest form.
Answers
Step-by-step explanation:
4(-3)-5y=12
-12-5y=12
-5y=12+12
-y= 24/5
y= -24/5
y= -4⅕
hope it helps
3
5
6) through: (-3, -3), perp. to y=-**-4
5
A) y = 2x + B) y=--x+ 2
*
3
C) y=-x+2 D) y=-x+ 2
5
3
Answers
Step-by-step explanation:
answer in the image above
The length of a rectangle is 5 inches longer than it is wide. If the area is 84 square inches, what are the
dimensions of the rectangle?
The width, or shorter side is i inches
Enter an integer or decimal number (more..
inches
The length, or longer side is
Answers
Answer:
b = 7 inches and l = 12 inches
Step-by-step explanation:
Given that,
The area of a rectangle, A = 84 sq inches
Let the width is b.
Length = (5+b)
The area of a rectangle is given by :
A = lb
So,
[tex]84=b\times (5+b)\\\\b^2+5b-84=0\\\\(b-7)(b+12)=0\\\\b=7\ in, b =-12\ in[/tex]
Neglecting negative value,
b = 7 inches
Length, l = 5+b = 5+7
l = 12 inches
Which of the following functions shows the reciprocal parent function,
F(x) = 1, vertically stretched?
LG
F(x) =
6
5
O A. G(X) = 1 + 10
B. G(x) =
X 100
1
OC. G(x) =
X-7
O D. G() =
9x
Answers
Answer:
C
Step-by-step explanation:
but it's also horizontally stretched (see screenshot)
Answer:
The correct answer is G(x)=1/9x
Step-by-step explanation:
Write two rational and three irrational number that are between 3and 4
Answers
a)rational number :
1)(3+4 )/2
=7/2 =3.5
2)(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)10/3=3.33....
2)11/3=3.66....
......I hope it will help you. ..
Answer:
The real numbers, which can be represented by the ratio of two integer numbers, are called rational numbers, say P/Q where Q is not equal to zero.
The actual numbers that cannot be expressed as the two integer ratio are called irrational numbers.
Step-by-step explanation:
a)rational number :
1)
(3+4 )/2
=7/2 =3.5
2)
(3.5+4)/2
=7.5/2 =3.25
b)irrational number :
1)
10/3=3.33....
2)
11/3=3.66....
3)
√13
. year or once a year Your reading material illustrates a typical example of what happens if you pay just the minimum monthly payment every month on a credit card balance. In this example, approximately how long will it take to pay off the original debt completely? a. b. 2 years 5 years 12 years The debt will never be completely repaid. C. d.
Answers
please help show steps thx
Answers
Answer:
1) P = 282m, A = 141m^2
2) P = 82.4in, A = 40in^2
3) P = 62.7m, A = 73.1m^2
Step-by-step explanation:
1) top:L=12m, W=3m, mid: l= 12m, w= 12-7 = 5m, bot: l=15m, w=3m
Perimeter= 2(lw)
P = 2(12x3) + 2(12x5) + 2(15x3)
P = 2(36) + 2(60) + 2(45)
P = 72 + 120 + 90
P = 282m
Area= lw
A = (12x3) + (12x5) + (15x3)
A = 36 + 60 + 45
A = 141m^2
2) Rectangle:l=7in, w=5in, Right Triangle:a=5-3=2in, b=12-7=5in
Perimeter= 2(lw) + (a+b+sqrt(a^2+b^2))
P = 2(7x5) + (2+5+sqrt(2^2+5^2))
P = 70 + 12.39
P = 82.4in
Area= lw + ((ab)/2)
A = (7x5) + ((2x5)/2)
A = 35 + 5
A = 40in^2
3) Semi-Circle: d=8m, r=8/2=4m, Right Triangle: a=8m, b=12m
Perimeter= pid + (a+b+sqrt(a^2+b^2))
P = 9pi + (8+12+sqrt(8^2+12^2))
P = 28.27 + 34.42
P = 62.7m
Area= (1/2)pir^2 + ((ab)/2)
A = (1/2)pir^2 + ((ab)/2)
A = (1/2)pi(4)^2 + ((8x12)/2)
A = 25.13 + 48
A = 73.1m^2
The 11th term of an progression is 25 and the sum of the first 4 terms is 49. The nth term of the progression is 49
1. Find the first term of the progression and the common difference
2. Find the value of n
Answers
Answer:
For 1: The first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]
For 2: The value of n is 27
Step-by-step explanation:
The n-th term of the progression is given as:
[tex]a_n=a_1+(n-1)d[/tex]
where,
[tex]a_1[/tex] is the first term, n is the number of terms and d is the common difference
The sum of n-th terms of the progression is given as:
[tex]S_n=\frac{n}{2}[2a_1+(n-1)d][/tex]
where,
[tex]S_n[/tex] is the sum of nth terms
For (1):The 11th term of the progression:
[tex]25=a_1+10d[/tex] .......(1)
Sum of first 4 numbers:
[tex]49=\frac{4}{2}[2a_1+3d[/tex] ......(2)
Forming equations:
[tex]98=8a_1+12d[/tex]
[tex]25=a_1+10d[/tex] ( × 8)
The equations become:
[tex]98=8a_1+12d[/tex]
[tex]200=8a_1+80d[/tex]
Solving above equations, we get:
[tex]102=68d\\\\d=\frac{102}{68}=\frac{3}{2}[/tex]
Putting value in equation (1):
[tex]25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10[/tex]
Hence, the first term is 10 and the common difference is [tex]\frac{3}{2}[/tex]
For 2:The nth term is given as:
[tex]49=10+(n-1)\frac{3}{2}[/tex]
Solving the above equation:
[tex]39=(n-1)\frac{3}{2}\\\\n-1=26\\\\n=27[/tex]
Hence, the value of n is 27
Can someone please help me out?
The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls
Answers
24 is three times the value of 8 and when you subtract 8 from 24 you receive a total of 16.
9514 1404 393
Answer:
B. 8 and 24
Step-by-step explanation:
There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.
The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.
The only answer choice that makes any sense is B: 8 and 24.
__
If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...
3×8 and 1×8 = 24 and 8.
Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...
x -1/3x = 16
2/3x = 16
x = 16(3/2) = 24
The numbers are 24 and 24/3 = 8.
__
Additional comment
You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.
Write an equation of a line that passes through (3,2) and (-5,6).
Answers
Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2
C(y-intercept)= replace one of of the points here to find C
2=1/-2(3)+c, c= 2.5
Final answer > y=1/-2x+2.5
Of the animals at a pet show, 3/8 were cats and 4/8 were dogs. The rest of the animals were rabbits. What fraction of the animals were rabbits?
Answers
Answer:
1/8 Of the animals are rabbits.
Step-by-step explanation:
3/8 Cats + 4/8 Dogs = 7/8
1/8 Is all you have room left for so 1/8 would be rabbits.
Answer:
1/8.
Step-by-step explanation:
Fraction of rabbits = 1 - (3/7 + 4/8)
= 1 - 7/8
= 8/8 - 7/8
= 1/8.
A traingle has an area of 35cm2 ANSWER CORRECT WITH EXPLANATION PLEASE
GOOD POINTS UP FOR GRABS
What could its dimensions be?
Base = Height =
Answers
Answer:
Base=2 cm
Height=35 cm
or
Base=5 cm
Height=14 cm
Or
Base=7 cm
Height=10 cm
Or
Base=10 cm
Height=7 cm
Or
Base=14 cm
Height=5 cm
Or
Base=70 cm
Height=1 cm
Or
Base=35 cm
Height=2 cm
Or
Base=1 cm
Height=70 cm
Step-by-step explanation:
We are given that
Area of triangle=[tex]35cm^2[/tex]
We have to find the dimension of triangle.
We know that
Area of triangle=[tex]\frac{1}{2}\times base\times height[/tex]
Using the formula
[tex]35=\frac{1}{2}\times base\times height[/tex]
[tex]base\times height=35\times 2=70[/tex]
Factor of 70 :2,5,7,10,14,35,70
Therefore, the dimension could be
Base=2 cm
Height=35 cm
or
Base=5 cm
Height=14 cm
Or
Base=7 cm
Height=10 cm
Or
Base=10 cm
Height=7 cm
Or
Base=14 cm
Height=5 cm
Or
Base=70 cm
Height=1 cm
Or
Base=35 cm
Height=2 cm
Or
Base=1 cm
Height=70 cm
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2. Find the probability that a randomly selected value is between 66.4 and 241.6. P(66.4 < X < 241.6)
Answers
Answer:
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
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.
A distribution of values is normal with a mean of 232.4 and a standard deviation of 92.2.
This means that [tex]\mu = 232.4, \sigma = 92.2[/tex]
Find the probability that a randomly selected value is between 66.4 and 241.6.
This is the p-value of Z when X = 241.6 subtracted by the p-value of Z when X = 66.4.
X = 241.6
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{241.6 - 232.4}{92.2}[/tex]
[tex]Z = 0.1[/tex]
[tex]Z = 0.1[/tex] has a p-value of 0.5398
X = 66.4
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{66.4 - 232.4}{92.2}[/tex]
[tex]Z = -1.8[/tex]
[tex]Z = -1.8[/tex] has a p-value of 0.0359
0.5398 - 0.0359 = 0.5039
P(66.4 < X < 241.6) = 0.5039 = 50.39%.
Nia had a 20 inch by 30 inch enlargement made of a photograph. She wanted to have it framed. How many inches of frame would it take to enclose the photo?
Answers
Answer: 100 inches
Step-by-step explanation:
From the question, we are given the information that Nia had a 20 inch by 30 inch enlargement made of a photograph and that she wanted to have it framed.
The number of inches of frame that she would use to enclose the photo will be gotten by calculating the perimeter of the shape and this will be:
= 2(length + width)
= 2(30 + 20)
= 2(50 inches)
= 100 inches
To enclose the photo, 100 inches of frame is needed.
In a class, three-fifths of 25 students are girls. What is the number of girls in the class?
Answers
Answer:
15
Step-by-step explanation:
3/5*25
Answer:
15 girls
Step-by-step explanation:
(3/5) x 25 = 15
With the help of a diagram a boy starts at a and walks 3km east to b he then walk 4km north to c find the distance and bearing of c from a
Answers
Answer:
t=3
Step-by-step explanation:
sorry if its incorrect i got it right on edgy.
There are 25 trees on the Jackson’s property. Twenty percent of the trees are oak trees. Which equation can be used to find the number of oak trees on the property?
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
StartFraction 100 times 5 Over 20 times 5 EndFraction = StartFraction 500 Over 100 EndFraction
StartFraction 20 times 4 Over 25 times 4 EndFraction = StartFraction 80 Over 100 EndFraction
StartFraction 20 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 5 Over 25 EndFraction
Answers
Answer:
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
Step-by-step explanation:
Number of trees = 25
Percentage of aok trees = 20%
To obtain the Number of oak trees :
(Number of trees ÷ 1) ÷ (percentage ÷1)
(25 / 1) ÷ (20 / 1) = (25 /1) * (20 / 1) = 25 / 20
StartFraction 25 divided by 1 Over 20 divided by 1 EndFraction = StartFraction 25 Over 20 EndFraction
The telephone company charges $25 for a service call, and $15 for every 15 minutes the service representative works on repairs. Write an equation you could use to find the total cost of a repair visit.
Answers
Answer:
C=$25+$15m
Step-by-step explanation:
C is Cost
m is 15 minutes
The price for a visit would be $25 + $15 times the amount of time they work on repairs.
The equation you could use to find the total cost of a repair visit is C=$25+$15m.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The telephone company charges $25 for a service call, and $15 for every 15 minutes the service representative works on repairs.
Let C is Cost and m be 15 minutes
From the data given in the question:
C = 25 + 15m
Thus, the equation you could use to find the total cost of a repair visit is C=$25+$15m.
Learn more about the linear equation here:
brainly.com/question/11897796
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