Answer:
Assuming the cones are the same height, then
V1 = pi * r^2 * h/3 = 3.14159*1^2*h/3
V2 = 3.14159*2.5^2*h/3 = 3.14159*6.25*h/3
V1/V2=(3.14159*h/3)/(3.14159*6.25)*h/3
V1/V2 = 1/6.25 = .16
V2/V1=(3.14159*6.25)*h/3/(3.14159*h/3)
V2/V1=6.25/1 = 6.25
Blood GroupO A B ABEthnic Group 1)0.082 0.101 0.005 0.0042)0.140 0.141 0.018 0.0093)0.215 0.195 0.070 0.020Explain in context what each of these probabilities represents. (Select all that apply.)If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C).If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(C | A).If a person has type B blood, the probability that he is from ethnic group 3 is given by P(C | A).If a person has type A blood, the probability that he is from ethnic group 3 is given by P(C | A).If a person has type A blood, the probability that he is from ethnic group 3 is given by P(A | C).If a person has type B blood, the probability that he is from ethnic group 3 is given by P(A | C).
Answer:
P (A|C) = 0.39
P (C|A) = 0.446
Step-by-step explanation:
The data provided is as follows:
Blood Group
O A B AB Total
1) 0.082 0.101 0.005 0.004 0.192
Ethnic Group 2) 0.140 0.141 0.018 0.009 0.578
3) 0.215 0.195 0.070 0.020 0.500
Total 0.437 0.437 0.093 0.033
The event C = {Ethnic group 3 is selected}
Compute the value of P (A|C) as follows:
[tex]P(A|C)=\frac{P(A\cap C)}{P(C)}=\frac{0.195}{0.5}=0.39[/tex]
If we know that the individual came from ethnic group 3, the probability that he has type A is given by P(A | C) = 0.39.
Compute the value of P (C|A) as follows:
[tex]P(C|A)=\frac{P(A\cap C)}{P(A)}=\frac{0.195}{0.437}=0.446[/tex]
If we know that the individual has type A blood group, the probability that he came from ethnic group 3 is given by P(C | A) = 0.446.
find the greatest number that exactly divide 16 and 24. ind the ornatost number that diido 20 and 20 min
Step-by-step explanation:
The greatest common factor (GCF) is the largest common factor that the numbers share. Here, 8 is the largest common factor of 16 and 24. So the GCF of 16 and 24 is 8.
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
A) x – 6
B) x – 3
C) x + 1
D) x + 6
Answer:
D. x + 6
Step-by-step explanation:
In the given graph, we have 3 x-intercepts values, which are points at which the line intercepts the x-axis. They are, -6, -3 and 0.
Each of these x-intercepts can be written as a factor of a polynomial function as follows:
x = -6
x = -6 + 6
x + 6 = 0
x = -3
x = -3 + 3
x + 3 = 0
x = 0
Therefore, the factor of the polynomial function must be: x + 6
F(x)=-14/x^2 average rate
Answer:
I am assuming that the function is f(x)=20(14)x, if it is
then f(x)=280x , The average rate of change between x =1 and x=2
is the slope of the function between the 2 and 1
Average rate of change = [f(b)-f(a)/b-a] let a and b be x and y
f(a)=f(x)=f(1)=280x1=280
f(b)=f(y)=f(2)=280x2=560
Average rate of change = [f(b)-f(a)/b-a]=[(560-280)/(2-1)]=280
There is no decimal unless the function given is wrong
Step-by-step explanation:
(3x+8) + (2x+4)= 32
Answer
4
Answer:
[tex]\huge\boxed{x=4}[/tex]
Step-by-step explanation:
[tex](3x+8)+(2x+4)=32\\\\3x+8+2x+4=32\qquad|\text{combine like terms}\\\\(3x+2x)+(8+4)=32\\\\5x+12=32\qquad|\text{subtract 12 from both sides}\\\\5x+12-12=32-12\\\\5x=20\qquad|\text{divide both sides by 5}\\\\\dfrac{5x}{5}=\dfrac{20}{5}\\\\x=4[/tex]
B(c) is a function
True
or
False
Answer: False :)
Step-by-step explanation:
3(2x−7)+ 1/3 (7x+2)
Please help Quick
. Day before today Tuesday.
Luigi's Pizzeria is having a Pi Day lunch special where you can choose either one 18" pizza or two 12" pizzas. The cost of each option is the same, $14.00. Which option gets you more pizza? Note: Pizza is measured by the diameter so a 10" pizza is 10" in diameter.
The option which gets you more pizza is two 12" pizzas.
What is a Diameter?It can be defined as the longest chord of the circle and it is twice the size of a radius.
We were told that one 18" pizza or two 12" pizzas costs the same and the one with the largest size is two 12" pizzas which was why it was chosen as the most appropriate choice.
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Please please please help!!!!
I will start off by defining the angle
[tex] \alpha = 90 - \beta [/tex]
as being the angle between altitude and the hypotenuse of the triangle.
[tex] \alpha = 90 - 30.1 = 59.9[/tex]
Using trigonometry, and the definition of the tan function defined by
[tex] \tan( \alpha ) = \frac{opp}{adj} = \frac{x}{1836.3} [/tex]
[tex] \tan( 59.9 ) = \frac{x}{1836.3} [/tex]
[tex]x = 1836.3 \times \tan(59.9) [/tex]
[tex]x = 3167.78[/tex]
Rounding to the nearest tenth
[tex]x = 3170[/tex]
Enter the mixed number as an improper fraction.
2 1/4
Answer:
9/4
Step-by-step explanation:
find 3 consecutive integers if three times the first integer is two times the third.
Answer:
4, 5, and 6
Step-by-step explanation:
Three Consecutive integers are x, x+1, x+2
We are given 3 times the first integer is 2 times the third
So
3x = 2(x+2)
Solve for x
3x = 2x+4
x = 4 (first integer)
so the 3 integers are 4, 5, and 6
Hi I really need help please help me
Answer:
B
Step-by-step explanation:
Y-intercept is where a graph crosses the y-axis at x=0
f(x) = 6x^2 + 18x + 3
f(0) = 6(0)^2 + 18(0) + 3 = 3
From the plot, g(x) at x=0 is 6.
So the answer is B. g has a greater y-intercept than f.
For f(x)
[tex]\\ \rm\rightarrowtail y=6x^2+18x+3[/tex]
Put x =0[tex]\\ \rm\rightarrowtail y=6(0)^2+18(0)+3=3[/tex]
Y intercept at 3From the graph
y intercept of g(x)=6
So option B is correct
Simplest form of 6 3/8 + 7 5/6 =
Step-by-step explanation:
first, add the whole numbers
6 + 7 = 13
then the fractions
3/8 + 5/6
we need to get common denominators
do you know how to do that
How did the Fugitive Slave Act of 1850 affect enslavement?
It stopped enslavers from looking for people who had run away.
It give citizenship to any enslaved person who ran away to a free state.
It punished people who helped enslaved people escape.
It allowed enslaved persons the right to trial by jury.
The Fugitive Slave Act of 1850 affect enslavement is one that stopped enslavers from looking for people who had run away.
What was the impact of the Fugitive Slave Act of 1850?This Act was said to have hinder enslavers from searching for people who had run away.
It was said to have given citizenship to any kind of enslaved person that has ran away to a free state. It also punished individuals that helped enslaved people escape. This law was passed on September 18, 1850.
Learn more about Fugitive Slave Act from
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an unknown or changeable quantity is called
The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.
You pull out the plug from the bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left.
Assume that the number of gallons varies linearly with the time since the plug was pulled.
Write the particular equation expressing the number of gallons (g) left in the tub in terms of the number of seconds (s) since you pulled the plug.
Answer:
g = -3/20s + 19Step-by-step explanation:
Let's assume this is a function
The points are
(40, 13) and (60, 10)Since it is linear relation, we'll get the slope intercept form
g = ms + b, where g- number of gallons, s- time in seconds, b- y interceptUsing the points, let's calculate the formula
m = (10 - 13)/(60 - 40) = -3/2010 = -3/20*60 + b10 = - 9 + bb = 19So the formula is:
g = -3/20s + 19Find the product.
A.
3x2 − 11x − 20
B.
3x2 − 20x
C.
3x2 − x − 20
D.
3x2 − 3x − 60
Answer:
A. -1. (27)
B. 0.3
C. -14
D. -18
Step-by-step explanation:
I just use the calculator
13.026 in decimal form
Answer:
Write 13.026 as
13.026
1
Multiply both numerator and denominator by 10 for every number after the decimal point
13.026 × 1000
1 × 1000
=
13026
1000
Reducing the fraction gives
6513/500
Step-by-step explanation:
If y equals three what is the value of 5Y + 6
Answer:
21
Step-by-step explanation:
If y = 3 then multiply 5 x 3=15. Add 6 and you get 21. 21 is the correct answer.
Which of these is a counterexample to the conditional statement, "If a number ends in the digit 5, then it is divisible by 3"
Answer:
5 times 3 is 15 and if you divide 3 by 15 you answer will be 5
Step-by-step explanation:
1)
Which of the following is an example of mistaking correlation for causation?
A. Running more frequently causes you to buy more running shoes.
B. Living in a Spanish-speaking country causes you to do poorly on the AP
English exam
C. Not going to school causes you to do poorly on the AP English exam.
D. Running more frequently causes you to buy more running outfits.
ОА
OB
Ос
OD
HINT
SUBMIT
2)
6/100+5/10+6/x+3=3.62 solve for the value of x
Find the value of x in the triangle shown below 6 2
Answer:
B.
Step-by-step explanation:
use the pythagorean theorem
a^2+b^2=c^2
2^2+x^2=6^2
4+x^2=36
-4 -4
x^2=36
√x=√36
x=√36
plss help me plss #4
Hey there!
Step 1: we multiply 5 by 1/4
=> [tex]5 ÷ \frac{1}{4} [/tex]
=> 5 ×[tex]\frac{4}{1} [/tex]
=> 20
Answer:
20 lengths
explanation:
total length of swine: 5 m
each length: [tex]\sf \frac{1}{4}[/tex] m
amount of lengths:
5 ÷ [tex]\sf \frac{1}{4}[/tex] [ division number sentence ]
5 * 4
20
20 such length can be made.
helpppppp ur girl out!!!
Answer:
139.25 m²
Step-by-step explanation:
Area of the square = 10 * 10 = 100 m²
Radius of the semicircle = 5 m
Area of the semicircle = π(5)²/2 = 39.25 m²
Total area = 100 + 39.25 = 139.25 m²
2. Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
might describe Peter's drawing?
1.
II.
AC and AP are parallel.
PAC is an angle
AC and AP are perpendicular
III.
A. I and 11
B. II and I
C. I and 111
D. I, II, and III
Complete question is;
Peter drew two rays, AC and AP with A as a common endpoint. Which of the following statements
might describe Peter's drawing?
I. AC and AP are parallel.
II. PAC is an angle
III. AC and AP are perpendicular
A. I and II
B. II and III
C. I and 111
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We are told that Peter drew two rays which are AC and AP.
We are told that A is a common endpoint.
If A is a common endpoint, it means the 2 rays interaction point at A is at an angle.
The angle could also be 90° which means it's possible that the rays AC and AP are perpendicular.
Thus, the correct statements that describe his drawing are: II & III
solve the inequality −23s ≥6 s=−9
Answer:
Given:
s = -9
We exchange this value into our inequality;
-23s ≥ 6
-23(-9) ≥ 6
207 ≥ 6
This figure represents a model ramp that is being covered with nonslip material on all sides.
How much nonslip material is needed to cover the ramp?
A. 216 in²
B. 240 in²
C. 264 in²
D. 278 in²
The surface area of the given ramp is 264 in²
How to calculate the surface area of the ramp
The given ramp is a triangular based prism is calculated as;
Surface area = Area of all the faces of the prism
Surface area = 2[0.5(8*6)] + (6*9) + (9*10) + (8*9)
Surface area = 48 + 54 + 90 + 72
Surface area = 264 in²
Hence the surface area of the given ramp is 264 in²
Learn more on surface area here: https://brainly.com/question/16519513
Answer:
264
Step-by-step explanation:
1 + 16 = distance squared
Distance = √(17) Because 1 + 16 = 17