Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be selected.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
Club has 20 members, hence [tex]N = 20[/tex]The committee has 4 members, hence [tex]n = 4[/tex]Rose and Liz are 2 of the members, hence [tex]k = 2[/tex]The probability that both are selected is P(X = 2), hence:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]
0.0316 = 3.16% probability that both Rose and Liz will be selected.
A similar problem is given at https://brainly.com/question/24826394
What does the initial amount represent on the linear equations word problems?
Answer:
0
Step-by-step explanation:
The initial value or y-intercept is the output value when the input of a linear function is zero.
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2.7
the number line ticks count by 2 and this is in between
Please help me asappp
17 21 14 17 12 15 16 mean
Answer:
17+21+14+17+12+15+16 / 7 and the answer is 16
Step-by-step explanation:
STEP N0#1 add all the data/ numbers together
STEP NO#2 divide the sum you got by the number of data points/ number
the number you get after dividing is the mean
What is the product of 2.5 x 4.3?
Answer:
10.75
Step-by-step explanation:
2.5 x 4.3 = 10.75
Answer:
[tex]{ \rm{2.5 \times 4.3 = 10.75}} [/tex]
Find the percent of change from
10 yards to 15 yards
1. 5%
2. 33%
3. 15%
4. 50%
Answer:
option 4
Step-by-step explanation:
Percent change is calculated as
[tex]\frac{change}{original}[/tex] × 100%
change = 15 - 10 = 5 , then
percent change = [tex]\frac{5}{10}[/tex] × 100% = 5 × 10% = 50%
The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.
Answer:
gradient = -1
Step-by-step explanation:
gradient = y2-y1/x2-x1
gradient = -8--2/3--3
gradient = -8+2/3+3
gradient = - 6/6
gradient = -1
MATH REAL ANSWER PLS DONT ANSWER THEN DELETE (BENNY whatever ur 500 accounts are i’m filing a police report if you answer this so choose wisely) ANYWAY PLS HELP ASAP.
Answer:
Step-by-step explanation:
0 = (x + 1)(x + 1)
Therefore
x + 1 = 0
x = -1 (twice)
(-1, 0), (-1, 0)
please help me with this sum
theres a thing called a calculator
Answer:
you didn't have calculate for this question
A water tank is a cube of side 2m the depth of water in it is60cm. What is the volume of water in the tank?
Answer:
Step-by-step explanation:
The base is made of a square that is 2 meters by 2 meters.
Base = 4 m^2
The height of the water is 60 cm
60 cm// 100 cm/meter = 0.6 meters
Volume = Base * height
Base = 4m^2
height = 0.6 m
Volume = 4 * 0.6 = 2.4 m^3
3.1.PS-16
Question Help
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A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 30 mg. How many milligrams of the vitamin are in the drink?
There are
mg of the vitamin in the drink.
Answer:
Answer:
51 mg
Step-by-step explanation:
A new health drink has 170% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 30mg.
The above question is calculated as:
RDA of the vitamin × 170%
The RDA for this vitamin is 30mg
Hence:
30mg × 170%
= 51 mg
Therefore, the milligrams of the vitamin that are in the drink is 51 mg
6846 is shared equally between 7 people how much does each person get?
Answer:
978
explanation is a calculator
Help me please!!!!! ✨✨✨✨✨✨✨✨
Answer:
-1 thats correcto...uh but whyHELP MEEEEEEE (−4)÷(14)(−2)
what is the state income tax deducted from gross pay of $864 with state income tax of 4%?
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
Help I have a C in math. I don't understand this Alegbra. If you get it right then I will give you Brainlist! (Ignore the black dots because I am not sure if they are right)
Answer:
YOUR RIGHT FOR BOTHH
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/5 of 2 kg
what is the answer
Answer: 1.2 kilograms Brainliest please happy to help
Step-by-step explanation:
The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?
What is the probability that a K-cup will have more than .33 ounces?
Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?
K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"
In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces
The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?
Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
Karan uses
of a tin of baby food each day for her baby.
Karan and her baby are going on a 7-day holiday.
What is the least number of tins of baby food that Karan must bring with her?
Show your working.
What is the slope between these two points (-2, 7) and (4, 6)?(
[tex] \frac{6 - 7}{4 - ( - 2)} = \frac{ - 1}{6} = - \frac{1}{6} [/tex]
The slope is -1/6
6 = 2n + 10
Please help
Answer:
6 = 2n + 10
6-10=2n
-4/2=n
-2=n
Tallahassee, FL has a population of 483,493. New York, NY has 345,876 more people than Tallahassee. Phoenix, AZ has 279,426 less people than New York.
b.) Round to the nearest hundred thousand to check the reasonableness of your answer for the population of Phoenix, AZ.
Answer:
600,000
Step-by-step explanation:
Phoenix AZ has approximately 600,000 people
Evaluate the solid bounded by 2x + z = 2 and (x − 1)^2 + y^2 = z. Sketch the given solid.
Answer:
resuelve la pregunta*
Step-by-step explanation:
tu mamá es mi mamáUsing the Addition method, solve for y in the following system of linear equations .
3x - y=1
X + 2y=5
Lmk if you need any further instruction or help.
Happy Halloween!!!!
(02.05 MC)
Graph g(x), where f(x) = 4x - 2 and g(x) = f(x + 1).
[tex]\\ \sf\longmapsto f(x+1)[/tex]
[tex]\\ \sf\longmapsto 4(x+1)-2[/tex]
[tex]\\ \sf\longmapsto 4x+4-2[/tex]
[tex]\\ \sf\longmapsto 4x+2[/tex]
g(x)=4x+2
A car travelling at 120km per hour. How many metres does the car travel in 2 1/2 minutes
Answer:
48
Step-by-step explanation:
time = 2 1/2 = 5/2
speed= distance÷time
120= d÷ 5/2
(120×2)÷5= d
d = 48
a angle is measured in
If the measure of XWZ = 127 . What is the measure of YWV?
Answer:
Dude Where's the attachment
Step-by-step explanation:
This is incomplete without image
4✓6 × 3✓6
multiply and simplify
show work
Answer:
3
√
2
Explanation:
First put change the words into an equation:
√
3
×
√
6
Now you can multiply them together as you would normally multiply:
√
3
×
√
6
=
√
18
Now let's prime factor 18 and see if there are any squares that we can take out of it to simplify. All we have to see is if there are 2 numbers that are the same:
18
/ \
6
3
/ \
2
3
As you can see, we have a square:
3
×
3
=
9
So take
√
9
out of
√
18
. You should have:
√
9
√
2
But since
√
9
=
3
we can simplify further to make:
√
9
√
2
→
3
√
2
Step-by-step explanation:
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