Answer:
The expected number of red balls in the sample is 1.2857.
Step-by-step explanation:
The balls are chosen without replacement from the sample, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The expected value of the hypergeometric distribution is:
[tex]E(X) = \frac{nk}{N}[/tex]
3 red balls in the sample:
This means that [tex]k = 3[/tex]
3 balls are drawn:
This means that [tex]n = 3[/tex]
Total of 3 + 4 = 7 balls:
This means that [tex]N = 7[/tex]
What is the expected number of red balls in the sample?
[tex]E(X) = \frac{nk}{N} = \frac{3*3}{7} = 1.2857[/tex]
The expected number of red balls in the sample is 1.2857.
questions and answer choices attached to photo, please help ASAP :)
Answer:
D
Step-by-step explanation:
10 x 10 x 29 x .5 = 1,450
Help is needed please????
Answer: let F(x)=y
y=2x+5
Step-by-step explanation:
At the U.S. Open Ternis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was mound-shaped and symmetric. What proportion of the player's serves was between 110 mph and 136 mph
Step-by-step explanation:
At the U.S. Open Tennis Championship, a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 102 miles per hour (mph) and the standard deviation of the serve speeds was 15 mph.If you use the amount of flour that was used on Day 4, how many
cups of flour will you use?
Donna fed of the chickens at a farm. Which decimal is equal to the fraction of 11 chickens Donna fed?
__
A. 0.09
_
B. 0.09
__
C. 0.01
_
D. 0.01
either a or b not 0.01
Identify the distance between the points (9,7,3) and (5,3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Using it's formula, it is found that the distance between the two points is of 5.7 units. Additionally, the midpoint is (7, 5, 2.5).
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, the points are (9,7,3) and (5,3,2), hence:
[tex]D = \sqrt{(9 - 5)^2 + (7 - 3)^2 + (3 - 2)^2} = 5.7[/tex]
The distance between the two points is of 5.7 units.
What is the midpoint?The midpoint is the mean of the coordinates, hence:
xM = (9 + 5)/2 = 7.yM = (7 + 3)/2 = 5.zM = (3 + 2)/2 = 2.5.The midpoint is (7, 5, 2.5).
More can be learned about the distance between two points at https://brainly.com/question/18345417
if f(x) = 5 + 4( x - 4)^2
then what is f(7)
Answer:
41
Step-by-step explanation:
f(7) = 5 + 4(7-4)²
= 5 + 4(3²)
= 5 + 4(9)
= 5 + 36
Answer:
f(7)=39
Step-by-step explanation:
f(7)=5+4((7)-4)^2
=5+4(3)^2
=5+4(9)
=5+36
=39
guys please help me, im really having a hard time on those questions and more other questions please!!
Answer:
1. 21, 22
2.29,30
Step-by-step explanation:
1. m+4>24
subtract both sides by 4
m>20
Two values that are greater than 20 are 21 and 22.
2. 7<x/4
multiply both sides by 4
28<x
Two values that are greater than 28 are 29 and 30.
f(x) = x + 4; find f(-8).
A-12
B -4
C 12
D 4
Answer:
A. -12
Step-by-step explanation:
When it says, "find f(-*)" it is telling you that that is f(x), so you're now basically solving:
-8=x+4
Which, would have to be -12.
In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?
Answer:
its A
Step-by-step explanation:
its A ️ ♀️ ️ ♂️ ️
Please help me (NO LINKS)
Answer:
[tex]0.25( \frac{1}{4} ) \\ 0.50( \frac{2}{4}) \\ 1.25(1 \frac{1}{4} )[/tex]
hope it's what u want
6) WILL MAKE BRAINLIEST
write the slope-interception form of the equation of each line.
Find an
equation for the line through (-6, 3) and
parallel to y = 3x + 1.
Since this line is parallel to y = 3x + 1 their slopes are equal. The slope is equal to 3. The line is also passing the point (-3,4).
This is the format of the line parallel to y = 3x + 1
y = 3x+ b
This line passes through point (-3, 4)
Replacing the values of y and x coming from the coordinates of (-3, 4)
4 = 3 * (-3) + b
Solving for the y-intercept b
4 = -9 + b
b = 4 + 9
b = 13
Knowing the slope as equal to 3 and the y-intercept as 13 the equation of the line is
y = 3x+13
The Ratio of 5 cows for every 2 dogs is equivalent to what ratio?
A. 20:8
B. 6/12
C. 4 to 10
( If it is right I will mark it as brainiest ong)
20:8
Step-by-step explanation:
5:2
20:8
5×4= 20 and 2×4= 8
Answer:
A is the right answer. If you multiply the ratio 5: 2 by 4 it will give you 20:8
Guys help me with this quick pls
Answer:
[tex]117 = 66 + \beta \\ \beta = 51[/tex]
What is nine divided by two
Answer: 4.5
Step-by-step explanation:
9/2 = 4.5
have a good day. you have to use division, and plus, 4.5 + 4.5 = 9
a)Solve for x:
y = 130 − 4x
b) What is the value of x when y = 120
Answer:
[tex]x = \frac{5}{2}[/tex]
Step-by-step explanation:
y = 130 - 4x
======================
120 = 130 - 4x
-10 = -4x
x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]
8,546.54 to nearest 1,000.00
pls help me i am very behind and confused
x > -3 For each statement list three numbers that would make a solution to the inequality true.
Answer:
x = -2
x = -1
x = 0
Step-by-step explanation:
Find three numbers to the left of -3 on the number line
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the missing length?
6 mi
t
area =
60 mi2
Answer:
10 mi
Step-by-step explanation:
6mi x t = 60mi^2
this is basically
6 x t = 60
divide 6 to both sides
t = 10
Find the value of the trigonometric ratio.
Answer:
D
Step-by-step explanation:
sin=opposite/hypotenuse
Sinx=40/41
14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.
Answer:
1+1 is cannot be
Step-by-step explanation:
jajauajhwhahwwhhahwhauwu
Find value of x for both
Answer:
19??????????????????
Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.
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Find the volume of the triangular prism:
-27yd^3
-72yd^3
-240yd^3
-360yd^3
Answer: 72
Step-by-step explanation:
[tex]V=\frac{1}{2}(3)(8)(6)=\boxed{72}[/tex]
You want to know if the students in your school have been to your town’s skate park. You randomly survey 50 of the 1100 students at your school. Of those surveyed, 15 have been to the skate park and 35 have not. You conclude that 30% of the students in your school have been to the skate park. Which statement below best describes your conclusion
Answer:
Step-by-step explanation:
The conclusion is invalid
Which value (s) of x are solution(s) of the equation below?
A. x = 2, 4
B. x = -1, 4
C. x = 2
D. x = -1
Answer:g
Step-by-step explanation:
please tell me the answer to 6 % of $ 4,379
please help. Will mark brainliest if correct. ( links will be banned)
Answer:
how many tries do you have?
I think its d because the proportion 6/4 and LM/6 cuz the smaller number is on the bottom? I dont know try it. how many tried do you have?
Its either d or b
For what values of x is the expression below defined?
Answer:
x > 0
Step-by-step explanation:
Given :-
√[3x²] ÷ √[4x ]And we need to find the value of x for which the expression is defined . The expression is ,
[tex]:\implies[/tex] √[3x²] ÷ √[4x]
As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.
Solution :-
[tex]:\implies[/tex] x > 0
In interval notation :-
[tex]:\implies\bf x \in ( 0 , \infty) [/tex]
Therefore x should be Greater than 0 .