Answer:
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
Step-by-step explanation:
The kittens are chosen without replacement, 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]
A TV studio has brought in 8 boy kittens and 10 girl kittens for a cat food commercial.
This means that [tex]N = 8 + 10 = 18[/tex]
We want 3 boys, so [tex]k = 8[/tex]
The director is going to choose 8 of these kittens at random to be in the commercial.
This means that [tex]n = 8[/tex]
What is the probability that the director chooses 3 boy kittens and 5 girl kittens?
This is P(X = 3).
[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 = 3) = h(3,18,8,8) = \frac{C_{8,3}*C_{10,5}}{C_{18,8}} = 0.323[/tex]
0.323 = 32.3% probability that the director chooses 3 boy kittens and 5 girl kittens.
In New Jersey, a survey of students in Mrs. Camp's 10th grade class reported that 45.8% said they had a pet. There are 28 students in her class, and the average number of students in 10th grade classes in New Jersey is 28. If there are 1500 10th grade classes in New Jersey, what is the best estimate of the the number of 10th grade students in New Jersey who have a pet? Round your answer to the nearest hundred.
9514 1404 393
Answer:
19,200
Step-by-step explanation:
The number of students with a pet is estimated to be ...
(0.458)(1500)(28) = 19,236
About 19,200 10th-grade students in New Jersey have a pet.
Find the 98th term of the arithmetic sequence 8, 24, 40?
Answer:
Find the 98th term of the arithmetic sequence 8, 24, 40, .
answer is 1560
Step-by-step explanation:
Simplify 9p + 3 + 4p + 7p - 4p - 4p and explanation please.
Step-by-step explanation:
this is your answer
hope it will help you
Transformations,, I have no clue what to do :(
Answer: 17
Step-by-step explanation:56%
Geometry Question Need Help. I will give brainliest.
Answer:
The correct answer is D. The points are rotated 180 degrees and scaled by a factor of 0.5. I assume that the 0.5 is the expected value in the text box labelled "D" (for dilation perhaps?)
Marc claims that V17 is greater than 71. Jenny claims that it is
impossible to compare the numbers without a caldulator. Is either
friend correct? Explain.
Radius of sphere js 6 centimeters what is volume
the equation for volume of sphere is 4/3 x π x r^3
so just put the numbers in
4/3 x π x 6^3
= 288 π cm^3
Answer:
The volume of a sphere is given as
4/3 πr^3
There is only one variable, the radius, which we are given in the problem.
since the radius is 6 cm, we can plug that in to the formula
4/3 π6^3
Put this into the calculator, and we see that the volume is 904.8cm rounded to the nearest tenth.
Step-by-step explanation:
Hope it is helpful....
The game is used in a school to rasie money for charity. Each player pays 30p to play this game. To win a bag of crisps players have to sxore exactly 7. Each bag of crisps cost the school 20p. How much should the school expect to raise for charity if 60 peoples played the game
Answer:
The answer is "1500p".
Step-by-step explanation:
The given probability is = 7. so, https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B12%7D%20%5C%20%3D%20%5Cfrac%7B1%7D%7B4%7D
It implies, that only if https://tex.z-dn.net/?f=120 people enjoy the sport, its school will gather https://tex.z-dn.net/?f=%5C%20120%20%5Ctimes%20%5C%2020%5C%20p%20%3D%20%5C%202400%20%5C%20p
But, https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D its side will survive = 30 people, as well as the school would have to invest https://tex.z-dn.net/?f=%5C%2030%20%5Ctimes%20%5C%2030p%20%5C%20%3D%20%5C%20900p
for lollipops So, the school will collect = https://tex.z-dn.net/?f=2400%20-%20900%20%3D%201500p
IF RIGHT PLZ GIVE BRAINLIEST
THANK U
HAVE A GREAT DAY AND BE SAFE :)
XD
The school can expect to raise approximately £85.71 for charity if 60 people played the game.
If each player pays 30p to play the game, and 60 people played the game, the total amount raised by the school would be:
Total amount raised = Number of players * Cost per player
Total amount raised = 60 * 30p
Now, let's calculate the cost of the crisps won by the players:
Cost of crisps won = Number of crisps won * Cost per crisp
Since each bag of crisps costs 20p, and players have to score exactly 7 to win a bag of crisps, we need to determine the number of bags of crisps won.
To find the number of bags of crisps won, we divide the total number of players by the number of players required to win a bag of crisps:
Number of bags of crisps won = Number of players / Number of players required to win a bag of crisps
Number of bags of crisps won = 60 / 7
Now, we can calculate the cost of the crisps won:
Cost of crisps won = Number of bags of crisps won * Cost per crisp
Cost of crisps won = (60 / 7) * 20p
Finally, to determine the amount the school expects to raise for charity, we subtract the cost of the crisps won from the total amount raised:
Amount raised for charity = Total amount raised - Cost of crisps won
Amount raised for charity = 60 * 30p - (60 / 7) * 20p
To simplify the calculation, we can convert the pence to pounds by dividing by 100:
Amount raised for charity = (60 * 30) - (60 / 7) * 20 = £(1800 - (1714.2857))
Amount raised for charity ≈ £85.71 (rounded to two decimal places)
Therefore, the school can expect to raise approximately £85.71 for charity if 60 people played the game.
To know more about charity click here :
https://brainly.com/question/31888282
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Welp❌❌❌❌❗️⭕️welp welp
Answer:
D
Step-by-step explanation:
:D
Find the value of x. Round to the nearest tenth
Answer:
x=24.1
Step-by-step explanation:
soh cah toa
cos(24°)=22/x
cos(24)= 0.9135
0.9135=22/x
0.9135x=22
x=22/0.9135
x=24.1
Answer:
24.1
Step-by-step explanation:
By sine rule:
[tex] \frac{ x}{\sin 90 \degree} = \frac{22}{\sin (90 - 24)\degree} \\ \\ \frac{x}{1} = \frac{22}{ \sin 66 \degree} \\ \\ x =24.081998127 \\ \\ x \approx 24.1[/tex]
The mean breaking strength of yarn used in manufacturing drapery material is required to be more than 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.4 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi.
Required:
a. Should the fiber be judged acceptable? Use the P-value approach.
b. What is the probability of not rejecting the null hypothesis at α=0.05 if the fiber has a true mean breaking strength of 102 psi?
c. Find a 95% one-sided lower CI on the true mean breaking strength.
d. Use the CI found in part (d) to test the hypothesis.
e. What sample size is required to detect a true mean breaking strength of 101 with probability 0.95?
Answer:
H0: μ = 100 ; H1: μ > 100 ;
Test statistic = 0.75 ;
We fail to reject null ;
Kindly check explanation for the rest
Step-by-step explanation:
Given that :
H0: μ = 100
H1: μ > 100
Sample mean, x = 100.6 ; n = 9 ; sample Standard deviation, s = 2.4
Test statistic :
(x - μ) ÷ s/sqrt(n)
(100.6 - 100) ÷ 2.4 / sqrt(9)
0.6 ÷ 0.8 = 0.75
Probability of not rejecting the null :
P = P(Z > 0.75) = 0.22663
α = 0.05
Since, P > α ; we fail to reject the Null ; there is no sufficient evidence to accept the claim that mean strength is > 100 psi
μ + Zcritical*s/sqrt(n)
Zcritical at (1 - α) = 1.645
100 + 1.645*(2.4/3)
100 + 1.316 = 101.316
(x - μ) ÷ s/sqrt(n)
(101.316 - 102) ÷ 2.4 / sqrt(9)
-0.684 ÷ 0.8 = 0.75
= - 0.855
P(Z < - 0.855) = 0.1963 (Z probability calculator).
95% lower confidence interval :
x - error margin, E
E = Zcritical * s/sqrt(n)
E = 1.645 * 0.8 = 1.316
100.6 - 1.316 = 99.284
From part c :
Interval becomes ;
(99.284, 101.316) ; this interval contains the hypothesized mean value of 100. Hence we fail to reject the null.
Plz help it’s due today’s
Answer:
% increase
Step-by-step explanation:
80(1.15) = 92
At 5am the temperature was -13f degrees. At 5pm on the same day the temperature was 39f. Which expression represents the increase in temperature?
A 39- 13
B -13 - 19
C -13 - 39
D 39 - ( -13)
Answer:
D
Step-by-step explanation:
Process of elimination, -13 is negative so we eliminate A, There is no 19 in the Math problem so we eliminate B, -13 - 39 would lead to a negative number but since were increasing from temperate it has to be positive so it's not C and answer D would lead to a positive number!
(311) and (33)
What is the distance between (3
Answer:
278
Step-by-step explanation:
Always subtract if u are calculating the distance
Which of the following inequalities matches the graph? 100 point
Which of the following inequalities matches the graph?
Answer:Looking at the graph the y values does not change, it stays at zero
The shaded area are the numbers under O
This means the answer is y ≤ 0
The answer is y ≤ 0Hope it helps
-------☆゚.・。゚ᵴɒƙυᴚᴀ_ƨȶäᴎ❀
What is 8.23 divided by 103?
Answer:
0.08
Step-by-step explanation:
If u do the math or put it in the calculator u should get 0.08
Determine the value of x.
1) 109°
2) 71°
3) 142°
4) 35.5°
The sides of two cubes are in the ratio 2:1. What is the ratio of their volumes ?
Please mark as brainliest
Answer:
we know that, Volume of cube=a³
Let volume of 1st cube be 2x with side a and other be x with side A (according to given ratio)
Step-by-step explanation:
ATQ: 2x=a³ and, x=A³
a=³√2x and, A=x
we know that, surface area of cube is 6a²
Thus, surface area of 1st cube = 6(³√2x)²
= 6³√4x²
Surface area of 2nd cube=6(x)²=6x²
Ratio of S.A=(6³√4x²)÷(6x²)
Ratio of S.A=³√4:1
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
Simplify the expression:
7(1 + 7x) =
Answer:
7 x 8x
Step-by-step explanation:
1) Classify each function as an exponential growth or an exponential decay. 1 point
f(x) =1/2
Answer:
f(3)=3/6=1/2
Step-by-step explanation:
hello
A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Chris chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles he chooses are blue? Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
P(BB)=(4/10)(3/9)
P(BB)=12/90
P(BB)=2/15
HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!
Answer:
Option C
g/9
Step-by-step explanation:
g ÷ 9
[tex] = \frac{g}{9} [/tex]
can somebody plllllzzzzzzzzzzz help me with this-2 (x + 4 + 5y)
Answer:
-2x -8-10y
Step-by-step explanation:
-2 (x + 4 + 5y)
distribute
-2x -8-10y
Using the ratio 3 dogs to 2 cats if you had 15 dogs how many cats would there be
Answer: 10 cats
Step-by-step explanation:
3/2
15/x
3*5=15
2*5=10
3/2=15/10
Answer:
20
Step-by-step explanation:
20
determine the value of X and Y
PLS HELP :)
Answer:
x=90º
y=64º
Step-by-step explanation:
180-67=113
180-75=105
540-90-113-105=232
232/2=116
180-116=64º
180-90=90º
what is 30% of $40 is
Answer:
$12
Step-by-step explanation:
Answer:
$12
Step-by-step explanation:
30/100 = X/40
X/40 = 30/100
X*40/40 = 30*40/100
X = 1200/100
X = 12
Some values of the linear function 'f' are shown in the table what is the value of 3?
X | F (x)
0 | -2
2 | 4
6 | 16
Please answer my questions truthfully and not gibberish just for points
Answer:
51. / 13.7
54. / 17.85
29. / 5.15
Step-by-step explanation:
How old are you?
Answer:
The original cable was 5.15 m long.
51: $13.70
53: $16.50
54: $17.85
55: 4.4 miles
56: $49.35
Step-by-step explanation:
The answer to the first question (the one about the cables): So you would solve it by adding the lengths of the cable together.
Cut off piece: 1.65 m Remaining cable: 3.5 m
To find the original length, we need to add the cut off piece and the remaining cable together.
1.65+3.5= 5.15
The original cable was 5.15 m long.
A. 11
B125
C. 275
D 450
Answer:
C
Step-by-step explanation:
duh
Which of the following grid correctly graphs the points A (3,1) and C (1,3)
Answer:
its the top right
Step-by-step explanation:
x before y