It is 5%
63-60=3
60 divided by 3 = 5
5%
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event. Randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians.
Answer:
Here we have four individual events.
First selection, second selection, third selection and fourth selection.
Where initially, the options are 16 Americans and 13 Canadians.
Now, to see if the events are dependent or independent.
Suppose that in the first selection, an American is selected.
Then the second selection has 15 Americans and 13 Canadians as options.
Now, if in the first selection, a Canadian is selected.
Then in the second selection, the options will be 16 Americans and 12 Canadians.
Then the events are not independent.
Now we want to find the probability of randomly selecting a four-person committee consisting entirely of Canadians from a pool of 16 Americans and 13 Canadians
The probability of randomly selecting a Canadian is equal to the quotient between the number of Canadians, and the total number of postulants.
For the first selection, we have 13 Canadians, and 29 people in total, then the probability is:
P1 = 13/29.
Suppose that a Canadian is selected, now there are 12 Canadians and 28 people in total, then the probability for the second selection is:
P2 = 12/28
with the same reasoning as above, the probabilities for the third and fourth selections will be:
P3 = 11/27
P4 = 10/26.
The joint probability will be equal to the product of the individual probabilities, this is:
P = P1*P2*P3*P4 = (13/29)*(12/28)*(11/27)*(10/26) = 0.03
The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)
Answer:
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Step-by-step explanation:
Given that:
The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;
The volume of a given circular cylinder is:
[tex]V = \pi r^2 h[/tex]
[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]
[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Convert 1AA from hexadecimal to decimal.
1AA = 426
What an odd class...
Answer:
426 in decimal.
Step-by-step explanation:
Step 1) Count the digits in 1AA, which in this case is 3 digits, and convert each digit to Hex.
Step 2) Starting from the last number in Step 1, multiply the first number with 1, the second number with 16, and the third number with 256.
Step 3) Add up all the numbers you got in Step 2 to get the answer.
Following the instructions above, your math should look like this:
10 x 1 = 10
10 x 16 = 160
1 x 256 = 256
10 + 160 + 256 = 426
Thus, we got the following answer:
1AA = 426
Chloe is remodeling her living room and wants to put down new wood floors. The wood floors cost $8.50 per square foot to buy and install. If her living room has an area of 156.5 square feet, how much will the new floors cost?
Answer:
1 330,25
Step-by-step explanation:
8.50x156,6=1330,25
PQ is equal to RQ so b=?
Answer: 17
Step-by-step explanation:
GUYS HALP MEH WITH MATH!!!
Answer:
i think -575
Step-by-step explanation:
Write the first four terms of the sequence defined by the given rule: f(n)=n+4
Answer:
5, 6, 7, 8
Step-by-step explanation:
f(n) = n + 4
f(1) = 1 + 4 = 5
f(2) = 2 + 4 = 6
f(3) = 3 + 4 = 7
f(4) = 4 + 4 = 8
A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample mean?
Answer:
[tex]S.E = 2[/tex]
Step-by-step explanation:
Given
[tex]Mean = 40[/tex]
[tex]s^2 = 64[/tex] ----- variance
[tex]n = 16[/tex] ------------ sample
Required
Determine the S.E
The estimated standard error (S.E) for the sample mean is calculated using the following formula:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
Where
[tex]SD = Standard\ Deviation[/tex]
[tex]SD = \sqrt {s^2}[/tex]
[tex]SD = \sqrt {64}[/tex]
[tex]SD = 8[/tex]
So:
[tex]S.E = \frac{SD}{\sqrt n}[/tex]
[tex]S.E = \frac{8}{\sqrt{16}}[/tex]
[tex]S.E = \frac{8}{4}[/tex]
[tex]S.E = 2[/tex]
Hence: the estimated standard error for the sample mean is 2
Help please! I’ll give brainliest!
Answer:
the first
Step-by-step explanation:
becasue you have -4 and it drops by 5 each hour so your timing it by 5 so 5h then sinv=ce it drops its -5h.
Answer:
The answer should be B
Step-by-step explanation:
What is one characteristic of the cosine function? It is an odd function. It has a period equal to π. Its graph is symmetric about the y-axis. Its domain is between –1 and 1 and is inclusive.
Answer:
D) its domain is between -1 and 1
Step-by-step explanation:
cos is actually an even function, and it has a period of 2π.
Sine has a graph symmetric about the y-axis, not cosine.
Answer:
C. Its graph is symmetric about the y-axis.
Step-by-step explanation:
If you graph on desmos it shows that it is symmetric about the y-axis :)
Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children get for snacks?
Answer:
Each child would get $8.00.
Step-by-step explanation:
An equation to represent this would be:
40/5
When you divide 40 by 5, you get 8 which results in the children each getting $8.00
Answer:
Each kiddo will get 8 dollars each
Step-by-step explanation:
40 divided by 5 = 8
Select the correct answer.
Which one of these functions is a cubic function?
Answer:
B
Step-by-step explanation:
A cubic function begins with an X^3.
Question 1 (1 point)
(07.03)
How many solutions does the equation 2y+7=5y+7-3y have?
a
One
Ob
None
ос
Two
od
Infinitely many
Answer:
0 because both equations on either side will cancel out
5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this
Answer:
5(6)+3(4.5)- 6(2)= 31.5
Step-by-step explanation:
Answer:
hmmmmm
Step-by-step explanation:
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units.
Answer:
1.L=4;W=3;P=14
2.L=6;W=2;P=16
3.L=12;W=1;P=26
Step-by-step explanation:
because i know
Solve for a when x is 12
X=
(1 + a)
(1 – a)
Answer:
so i checked on many apps cause im kinda stupid and didnt know and they all said a=11/13 but you could wait for sum1 else to answer
Step-by-step explanation:
Please help will do brainliest
Answer:
2x-7y
8x+2y
Step-by-step explanation:
A concession stand sold ice cream cones, salted pretzels, and tacos at a basketball game. Ice cream cones were sold for $3.00, salted pretzels were sold for $2.50, and tacos were sold for $2.00. The total number of ice cream cones, salted pretzels, and tacos sold was 140, and the total amount of money from these items was $359.50. If $70.00 was made just from selling tacos, how many salted pretzels were sold?
0.07, 0.005, 0.75
from smallest to largest
about how many 10s are there in 189?
Answer:
About 18 or 19
Step-by-step explanation:
189 divided by 10 is 18.9 or roughly 19.
Answer: 18
Step-by-step explanation: 10,20,30,40,50,60,70,80,90,100,110,120,130,140,150,160,170,180
If AABC and AXYZ are similar, which must be true?
Answer:
(D).
Step-by-step explanation:
ΔABC ~ ΔXYZ
(D). [tex]\frac{AC}{XZ}[/tex] = [tex]\frac{BA}{YX}[/tex]
7. Which of the following illustrates the commutative property of multiplication?
(1) 5(2x) =(5-2)x
(2) 4(2x+5) = 4 - 2x+4-5
(3) x2 +5=5+x2
(4) 2x -3x = 2-3-X-X
show work pleasee
best estimate for 563 / 15
Answer: 37 8/15 or 37.53
Step-by-step explanation:
use math_way its amazing for math problems, if i could give a rating it would definitely get 5 stars.
its a website and a app i believe it can be used for ios and android
aka apple and everything else
btw i had to add that (_) <that in the name because it wont let me say it normally
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4 to 5 also,written as 4:5
Step-by-step explanation:
60 cows to 75 sheep
60:75
divide both by 15 to get lowest form
60/15 = 4
75/15 = 5
If a scale factor of 5 is used to make a reduction, what is the base of the original triangle?
Original triangle
Height
Base
Reduced triangle
3
5
0 1
O 10
O 15
O 25
Answer:
25
Step-by-step explanation:
took test on edge
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
Please answer this correctly without making mistakes
Answer:
I say first one 7-pint jug of water for 3.22
Step-by-step explanation:
because 8 pints are in 1 gallon but there is 7 pints for 3.22 if do math correctly 8 pints would be 3.68 and that is one gallon right there so 2 gallons would only be 7.36 which is way cheaper than the second one being 2-gallon jug of water for 13.44.
hope this helps.
You start at (4, -4). You move left 4 units and right 4 units. Where do you end?
Answer:
Step-by-step explanation:
(4 , - 4) -----> ( 4 - 4 + 4 , - 4 ) = ( 4 , - 4 )
Alexander spent a total of 12.5 hours on a science project for the Science Fair. His sister, Laura, spent 16.6 hours on a science project. How many more hours did Laura spend on her project than Alexander spent on his?
Answer:
4.1 I think
Step-by-step explanation:
I just subtracted in my head
Answer:
4.1 hours
Step-by-step explanation:
Laura spent 4.1 more hours on her project than Alexander spent on his. If we split each number into 2 parts (like this: 12.5 -> 12 and .5; 16.6 -> 16 and .6) then we can subtract 12 from 16 and .5 from .6 to get 4 and .1. we add those together to get 4.1
-4(3/2x - 1/2) = -15
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333