Cooper's bird feeder holds 9/10 of a cup of birdseed Cooper's filling the bird feeder with a scoop that holds 3/10 of a cup how many scoops of birdseed will Cooper put in the feeder
Problem (11), 10 points 3 Math majors and 3 Computer Science majors will be presenting at a conference. Three students will be randomly selected to present on Monday, and the remaining three stu- dents will present on Tuesday.
(a, 3 points) What is the probability that two Computer Science majors and a math major will present on Tuesday? You do not need to simplify your answer.
(b, 5 points) Suppose we know at least one Math major has been selected to present on Monday. What is the probability that two Computer Science majors and a math major will present on Tuesday, given this information?
(c, 2 points) Based on your answer for b, are the events ‘at least one math major is selected to present on Monday' and 'two computer science majors and a math major present on Tuesday' independent?
Answer:
a}[tex]P_1= 0.3[/tex]
b)[tex]P_2 =0.45[/tex]
c) NOT INDEPENDENT
Step-by-step explanation:
From the question we are told that
Sample space
Math majors are 3
computer science majors are 3
Generally the sample space is
Mathematically the sample space required on Monday is given as [tex]S_m= 3c_1 * 3C_2[/tex]
where [tex]S_m[/tex] =sample space on Monday
Therefore,
[tex]P_1[/tex] = [tex]\frac{3C_1 *3C_2}{6C_3}[/tex]
[tex]P_1=\frac{3*3}{20}[/tex]
[tex]P_1=\frac{6}{20}[/tex]
b)
Generally the the equation is given as
[tex]P_2 =P(\frac{x \cap y}{y})[/tex]
where
x is selecting two math major and 1 computer science major on Monday
y is at leas one math major selected
[tex]P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]
[tex]P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}[/tex]
c)
Generally in representing independent events
[tex]P_3=p(x \cap y)[/tex]
=>[tex]p(x) * p(y)[/tex]
Mathematically
[tex]n(x)= ^3C_1 *^3C_2[/tex]
[tex]n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}[/tex]
therefore
[tex]n(x \cap y) =^3C_1 *^3C_2[/tex]
This does not satisfy the two equations stated above therefore NOT INDEPENDENT
Kevin and his children went into a restaurant and he bought $31.50 worth of hotdogs and drinks. Each hotdog costs $4.50 and each drink costs $2.25. He bought 3 times as many hotdogs as drinks. Graphically solve a system of equations in order to determine the number of hotdogs, x,x, and the number of drinks, y,y, that Kevin bought.
Answer:
6 hot dogs, 2 drinks
Step-by-step explanation:
let y = number of hot dogs
let x = number of drinks
system:
y = 3x
4.5y + 2.25x = 31.50 (standard form: y = -1/2x + 7)
if you graph the system, lines intersect at (2, 6)
Answer:
y=1/3 x
y=-2x+14
(6,2)
6 hotdogs and 2 drinks
Step-by-step explanation:
:)
I really need help with this
"Simplify this equation."
Answer:
2nd one
Step-by-step explanation:
Marc deposits $1,500 into two savings accounts.
Account 1 earns 4% annual simple interest.
• Account 2 earns 4% interest compounded annually.
Marc does not make any additional deposits or withdrawals. What is the sum of the
balances of Account 1 and 2 at the end of 3 years?
Answer:3,360.0
Step-by-step explanation:
A candle burned at a steady rate. After 40 minutes, the candle was 12.5 inches. After 70 minutes, the candle was 11.75 inches. Use an equation in point-slope form to determine the height of the candle after 2 hours.
Answer: 8.75 is the correct answer
Step-by-step explanation:
I'm big brain.
Given ΔABC, m∠C = 90° , m∠ ABC = 30° , AL ∠ Bisector CL = 6ft. Find LB (Feet)
WILL GIVE BRAINLIEST!!
Answer:
The Answer is 12 feet
Step-by-step explanation:
This is my second account lol I just wanted to give Angie the brainliest!
Answer:
10 feet
Step-by-step explanation:
ewkrfmwekosdfgseargfaerfgaerfmwoegm :
Answer:
Ok thats really cool thanks :)
Consider the following statements:
I. As far as the significance level is concerned, a two-tailed hypothesis test is more accurate than a one-tailed hypothesis test.
II. A point estimation procedure utilizes information in a sample to arrive at two points, one positive and one negative in order to estimate the population parameter of interest.
a. I and II are both true.
b. I and II are both false.
c. I is true and II is false.
d. I is false and II is true.
e. I is false and II is sometimes true.
Answer:
b. I and II are both false.
Step-by-step explanation:
I. For a significance level, the two tailed hypothesis is not always accurate than the one tailed hypothesis test. The hypothesis testing is carried to find out the correctness of a claim of a population parameter. The two tail hypothesis test which used both positive and negative tails of the distribution is not always more accurate than one tailed test.
II. The process of the point estimation involves the utilization of the values of a statistic which is obtained from the sample data to obtain the best estimate of a corresponding unknown parameter in the given population.
Hence, both the statements are false.
HELP TIMED BRAINLIST QUICK
whats 16, −24, 9, −30, 25 least to greatest?
Answer:
-30, -24, 9, 16, 25
Answer:
30-, -24, 9, 16, 25
Step-by-step explanation:
Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)
Answer:
so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract
Step-by-step explanation:
True or False. A triangle can be made with side lengths 4, 4 and 8.
Answer:
False
Step-by-step explanation:
Right Triangle Trigonometry.
Answer:
D
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Question in picture below will give brainly
Answer:
right ^_^
Step-by-step explanation:
5. The first time that Jordan ran for class president, he recelved 10% of the votes. This year, when
he ran again, he received 6 times as many votes as he did when he ran the first time. There
were a total of 180 votes in each election. How many votes did Jordan receive this year
HURRY PLEASE
Answer:
108 votes
Step-by-step explanation:
There were 180 votes in the election and Jordan received 10% of them.
180 × 0.10 = 18
Jordan received 18 votes the first time. This year, he received 6 times as many votes.
18 × 6 = 108
Jordan received 108 votes this year.
Hope that helps.
My head is hurting can you help me
It’s 16 points
Answer:
-6, -4
Step-by-step explanation:
If you flip the shape over the Y axis you can see
Find the value of 15c1
Answer:
The simple answer is 15 only
Plz answer the question attached
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]
A factory is able to make 99 televisions in 3 hours. What is the constant of proportionality?
Answer: 33 televisions in 1 hour
Step-by-step explanation:
99/3=33
Answer:
33 TVs IN 1 HR
Step-by-step explanation:
TRUST ME
You get a $60,000 loan for a new dump truck. With the truck, you can generate $500 more business each week at 80% margin. Your interest rate on the loan is 8.6%. Does the additional margin generated cover the Interest payments?
a) Yes
b) No
Answer: Yes
Step-by-step explanation: got it wrong and told me the correct answer
Peggy and her mom have been living alone in an island ever since Peggy was born. To keep track of how old her daughter is, every day after Peggy was born, her mom carves a tick mark into a tree.
One day, Peggy's mom counted 2000 tick marks on the tree. How many years old is Peggy, rounded off to the nearest year? Remember that a year has 365 days.
Answer:
5 years
Step-by-step explanation:
Divide 365 by 2000. The answer is 5.4794. Rounded to the nearest whole it is 5.
Answer:
5 years
Step-by-step explanation:
What we know:
- 2000 days passed (since each tick mark represents a day)
- One year has 365 days
Let [tex]x[/tex] represent the number of years that passed.
If each year has 365 days, 365 multiplied by the number of years that passed should equal 2000.
[tex]365x=2000[/tex]
Divide both sides by 365 to isolate x
[tex]\frac{365x}{365} =\frac{2000}{365}[/tex]
[tex]x[/tex] ≈ [tex]5[/tex]
Therefore, Peggy is 5 years old.
I hope this helps!
What is the greatest common factor of 48x3, 12x4, and 36x5?
-16.3=w+6.1 first to answer will earn brainiest!
Answer:
w = - 22.4
Step-by-step explanation:
w + 6.1 = -16.3
**subtract 6.1 on both sides to isolate w:
w = -16.3 - 6.1
w = -22.4
Answer:i wont answer it because the other guy is right
Step-by-step explanation:
Which transformation from the graph of a function f(x) describes the graph of 5f(x)
Answer:
Dilation
Step-by-step explanation:
Given
Main function: f(x)
Resulting function: 5f(x)
Required
Which transformation exists between both functions
The general explanation is that:
When a function f(x) is multiplied by a constant k, the resulting function g(x) is a dilation of f(x).
Mathematically, if the following relationship exists between f(x) and g(x)
g(x) = k.f(x)
Then g(x) is a dilation of f(x) and k is the constant of proportionality or dilation ratio
In this case:
g(x) = 5f(x)
So, the transformation that answers the question is dilation.
Answer: vertical | stretch | left
Step-by-step explanation:
Help me please I’m confused
Answer:
Its c
Step-by-step explanation:
2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
Helppppp please (due tonight)
Answer:
g=68 h=56 f=56
Step-by-step explanation:
g = 5x+18
h and f = 2x+36
5x+18+2x+36+2x+36=180
9x+90=180
9x=90
x=10
If x and y are 2 complementary angles then find the value of y if measure of angle x is 20 degree
plz help me I am marking branliest to the correct answer
Answer:
y=70 degrees
Step-by-step explanation:
If 2 angles are complimentary, they add up to 90 degrees.
x+y=90 degrees
x=20 degrees
y=90-20 degrees
y=70 degrees
If that is wrong, try this. Let's say the questions gives us the fact that x is 20 degrees greater than y.
y=x
Substituting x for y, the equation is x+x+20=90
Since y is x, x would also be y, which is 35. then x+20 would be 55.
So y would be 35.
THE ANSWER WOULD BE 70 DEGREES, BUT IF THAT IS WRONG, DO THE SECOND ONE, WHICH IS 35
ANSWER ASAP PLEASE
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 201 inches?
Step-by-step explanation:
5.1054 meters
I think you should round the number tho