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
Simplify the fraction 36/8
Answer:
4 4/8
Step-by-step explanation:
36 can go into 8, 4 times. With 4 left over so the answer is 4 4/8.
Answer:
[tex]4\frac{1}{2}[/tex]
Step-by-step explanation:
use the formula y=mx+ c to work out the value ofy when m=8 x=3 c=4
Answer:
m = 21 = 2
b = 1 (value of y when x=0)
So: y = 2x + 1
With that equation you can now ...
... choose any value for x and find the matching value for y
For example, when x is 1:
y = 2×1 + 1 = 3
Check for yourself that x=1 and y=3 is actually on the line.
Or we could choose another value for x, such as 7:
y = 2×7 + 1 = 15
And so when x=7 you will have y=15
Positive or Negative Slope?
Going from left-to-right, the cyclist has to Push on a Positive Slope:
negative slope zero slope positive slope
Example 2
y=-3x graph
m = −31 = −3
b = 0
This gives us y = −3x + 0
We do not need the zero!
So: y = −3x
Example 3: Vertical Line
graph x=2
What is the equation for a vertical line?
The slope is undefined ... and where does it cross the Y-Axis?
In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=...".
Like this:
x = 1.5
Every point on the line has x coordinate 1.5,
that is why its equation is x = 1.5
Rise and Run
rise and run
Sometimes the words "rise" and "run" are used.
Rise is how far up
Run is how far along
And so the slope "m" is:
m = riserun
You might find that easier to remember.
Animation
Now Play With The Graph !
You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph
Step-by-step explanation:
Which point is an x-intercept of the quadric function f(x)=(x+6)(x-3)
Answer:
( − 6 , 0 ) , ( 3 , 0 )
Step-by-step explanation:
f(x)=(x+6)(x-3)
Based on a sample survey, a grocery store employee states that 5 out of 14 shoppers buy wheat cereal. If there are 1,400 shoppers in one day, how many do NOT buy wheat cereal?
Answer:
9,000 shoppers
Step-by-step explanation:
14,000÷14=1,000 1,000×5=5,000 14,000-5,000=9,000
Is 319,459 divisible by 2?
yes
no
Submit
Answer:
no
Step-by-step explanation:
319,459 is not an even number
Convert 01100111 from binary to hexadecimal.
Answer: 67
Step-by-step explanation: 128+64+32+16+8+4+2+1
=0 + 1 + 1 + 0 + 0+1+1+1
=67
Three letters are randomly chosen from PROBABILITY. What is the probability that two of the three letters are the same?
Answer:
1 out of 25 letters question
Jimmy, Johny and Jolly went to the market to buy some presents for Secret Santa celebration at school. Three of them together spent $560. If Johny spent twice as much Jolly did and Jimmy spent $30 less than Johny did, how much did each of them spend?
Answer:
Step-by-step explanation:
I think they both spend 300$
At midnight the temperature was ➖ 5 degrees Celsius. At noon, the temperature was 19 degrees Celsius. Which expression represents the change in temperature?
Answer:
cold and hot Is the answer
can you help me with it please
Answer:
[tex] \frac{20}{29}[/tex]
Step-by-step explanation:
Equation of unit circle is:
[tex] x^2 + y^2 = 1[/tex]
Plug [tex] y = \frac{-21}{29}[/tex] in above equation.
[tex] x^2 + \bigg( \frac{-21}{29}\bigg)^2 = 1\\\\
x^2 + \frac{441}{841} = 1\\\\
x^2 = 1-\frac{441}{841}\\\\
x^2 = \frac{841-441}{841}\\\\
x^2 = \frac{400}{841}\\\\
x =\pm\sqrt{ \frac{400}{841}}\\\\
x =\pm\frac{20}{29}\\\\
[/tex]
Since, point P is in the fourth quadrant.
Therefore, x - coordinate should be positive.
[tex] \huge \red {\boxed {\therefore x =\frac{20}{29}}} \\\\
[/tex]
There are 207 students in 9 classes at east middle school at this rate how many students are in 6 classes
Answer:
138 students
Step-by-step explanation:
207/9 = 23
23*6=138
Answer:
138 students
Step-by-step explanation:
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
PLEASE HELP ME ASAP (ANSWER BOTH) THANK YOU!
Answer:
1/3 is the slope but it does not show the graph so I can't give you the answer
What is the value of x?
150°
3xº
Answer:
the answer is 50
Step-by-step explanation:
150 / 3 = 50
Answer:
50
Step-by-step explanation:
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
Identify the expression which represents the calculation “subtract 3 from 15, then divided by 6
Answer:
[tex]\frac{15-3}{6}[/tex]
Step-by-step explanation:
You would start by writing the expression for “subtract 3 from 15", which would be [tex]\frac{15-3}{6}[/tex], then you would add on "then divided by 6", which would make it
Answer:
Step-by-step explanation:
15-3/6
15-3 over 6
12/6
2
what is the slope of the linear table below?
Answer:
A. 2/3
Step-by-step explanation:
Plot the points, so you visualize rise/run.
When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).
HURRY PLEASE HELP!!!!!!
the answer choices are
A. 55
B. 40
C. 60
Answer:
A. 55
Step-by-step explanation:
hope this helps have a good day :)
Does -3 and -2 make a right triangle
Answer:
There is no such thing as negative distances. In order to do Pythagoras theorem you need to know which one is the hypotenuse
For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation:
Find all whole numbers m such that m and 5m+1 are prime numbers.
Answer:
2 only
Step-by-step explanation:
Only even PRIME number is 2.
Why do we need EVEN PRIME numbers?
Say we do 11*5 we get 55 but when we add one we get 56
Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.
Mr. Scruggs is going to donate $60 to the local animal shelter. If that $60 is 4/15
of the total amount of money he received for his birthday, how much money
did he receive in all?
What is the seventh term of (x-y) ^ 8 ?
Answer:
-8xy^7
Step-by-step explanation:
if a man spend 1/5 on food a
nd 1/3 on car and his left with #286.how much is his income
Answer:
Step-by-step explanation:
Let income=X
Given he spend 1/5of his income on food.=X/5
He spend 1/3 of his income on car=X/3
Left with=286
So
x-(X/5+X/3)=286
x-8x/15=286
7x/15=286
X=286×15/7
X=612.85
His income is 612.85.
I will give brainliest :)
Last weekend Joe bought a magazine for $6 and some
notebooks for $3 each. You spent a total of $18. If the
equation 3x + 6 = 18 represents this situation, what does
the x variable represent?
•the coast of magazines
•the number of magazines
•the number of notebooks
•the cost of notebooks
Answer:
The number of notebooks
Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).
Answer:
-9,-4
Step-by-step explanation:
Sue and Kim loved their skittles! Before throwing the bag away, Kim noticed that there were 160 calories for 40 grams of Skittles. Using the ratio table below.help Kim determine the number of calories for 80 grams of Slides
Answer:
320 calories
Step-by-step explanation:
Ratios.
let's say calories= c
grams = g
160c:40g
? :80g
So if you look at the grams, you see an increase by *2.
so the get: ?
you need to multiply 160 by 2.
(54+6)+10=
how to answer?
Answer:
add 54+6 =60 then add 10 =70 first add the one in brackets then add the other one
Plz help due tomorrow plz hurry
Answer:
(4,-3)
Step-by-step explanation:
Nikki gathered data about the length of time she spent listening to the radio and the number of commercials she heard. She organized the data in a scatter plot, where x represents the minutes spent listening and y represents the number of commercials. Then she used the graphing tool to find the equation of the line of best fit:
y = 0.338x − 1.387.
Based on the line of best fit, for approximately how many minutes will Nikki need to listen to the radio to hear 20 commercials?
A. 10
B. 55
C. 63
D. 72
Answer:
C. 63
Step-by-step explanation:
