Answer:
[tex]P(X=10) = 0.1222[/tex]
Step-by-step explanation:
Represent Green with G
So,
[tex]G = 50\%[/tex]
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]
In this case:
[tex]n = 16[/tex] -- number of people
[tex]x = 10[/tex] -- those that prefer green
So, the expression becomes:
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]
Substitute 50% for G (Express as decimal)
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]
Apply law of indices
[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]
Solve 16C10
[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]
[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.00001525878[/tex]
[tex]P(X=10) = 0.12219231024[/tex]
[tex]P(X=10) = 0.1222[/tex]
Hence, the required probability is 0.1222
1Jada made 6 cups of blueberry jam and divided the jam equally among 4 containers. How much jam went in each container? I pick you as brainlist
Answer:
That would be 1.5
Step-by-step explanation:
Here it is.
how many 2/3s are in 3
Answer:
7 and 1/3
Step-by-step explanation:
A patient needs a total dose of 50 grams of albumin. The pharmacy has 50 m
bottles of 25% Albumin in stock. How many bottles should the pharmacy
technician prepare to provide the required dose?
Answer:
4,000 bottles.
Step-by-step explanation:
Given that the patient needs a total dose of 50 grams of albumin, and the pharmacy has bottles of 50 milligrams with 25% albumin, to determine how many bottles the patient should purchase the following calculation must be performed:
1 g = 1000 mg
50 g = 50,000 mg
50 x 0.25 = 12.5
50,000 / 12.5 = X
4,000 = X
Therefore, the patient must purchase 4,000 bottles to obtain the required dosage.
Can someone help me please
Answer: Least to greatest: 6, 4+2n, 12.5, 4n
Step-by-step explanation:
pi = 3.14
4n = 12.56
4 + 2n = 10.28
Least to greatest: 6, 4+2n, 12.5, 4n
Answer:
4π, 12.5, 4+2π, 6
Step-by-step explanation:
4π=12.56637
12.5=12.5
4+2π= 10.2831853
6=6
Which of the following best estimates the sum 1/2+1/3
a 0.4
b .5
c .8
D 1.1
Monica had a savings account that paid her an interest rate of 4%. After she had this account for 12 years, she had received $192 in interest. How much money had she put into the account at the beginning of the 12 years?
Answer:
Money she put in her account = $400
Step-by-step explanation:
As, to find the interest the formula is PTR/100 = I
Where P = Principcal
And T = time (in years)
And R = rate
And I = interest
So here p is not present we need to find it
R = 4%
And T = 12 years
And I = $192
= p x 4 x 12 /100 = 192
P x 4 x 12 = 19200
P x 48 = 19200
P = 19200/48
P = 400
So Principcal = $400
1. Find the sum of -9g and 6g + 3
Answer:
-3g + 3
Step-by-step explanation:
-9g + 6g + 3
combine like terms
-3g + 3
Hope this Helps!!!
Answer:
-3g + 3
Step-by-step explanation:
This would be the answer because if we add 6g to -9g then we would have -3g since 3 and 3 are not like terms then we can just add them like this -3g+3
I don't know what i am doing wrong pls hel
help please with math decmal
Question
-3(-4)=
Please help me I don’t know what to do!
Answer:
The answer is 12. Please please like.
Sean places 10 tomato plants in rows. All rows contain the same number of plants. There are between 3 and 8 plants in each row. How many plants are in each row
Answer:
240
Step-by-step explanation:
so what is 3*8 and then what ever you get you multiply by 10
answer plsplsplsplsplsplsplsplspls
Answer:
10 or 5
Step-by-step explanation:
I think 10
Question
8 - (-7) =
Plz help me!!!
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
A small artichoke contains about 9 milligrams of vitamin C. It also contains about 15% of the recommended amount of vitamin C an average adult should get each day. About how many artichokes would an average adult have to eat in a day to get the necessary amount of vitamin C.
Answer:
7 Artichokes
Step-by-step explanation:
To figure this out, we need to find out how much Vitamin C an average adult needs. We set up a proportion.
[tex]\frac{9}{15} = \frac{x}{100}[/tex]
[tex]15x=900[/tex]
[tex]x=60[/tex]
Now, since each artichoke is worth 9 milligrams, we divide 60 by 9.
[tex]60/9=6.66666...[/tex]
So, to get the necessary amount of Vitamin C, we round up to 7.
Please help!!!! Select the correct location on the graph.
Graph the point that has the coordinates
Answer:
Its the one on the left
Step-by-step explanation:
Find the exact value of tan(sin^-1((-12/13))
Answer:
2.399
Step-by-step explanation:
Given the trigonometry expression:
tan(sin^-1((-12/13))
We are to find the exact value
tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))
tan(sin^-1((-12/13)) = tan(-67.38)
Also note that tan(-theta) = -tan theta
tan(-theta) = -tan67.38
tan(-67.38) = -2.399
The exact value is 2.399
Line v is parallel to line w
Which set of statements about the angle is true
Answer:
∠1 ≅ ∠5, ∠2 ≅ ∠4, ∠3 ≅ ∠6
anyone wanna help me out
Help me on this question please
Answer:
the first one:)))
Step-by-step explanation:
8 soccer cards and 4 baseball cards in one box, 6 soccer cards and 3 baseball cards in another box
Jenny has finished 15 of the 20 lessons in her piano book liam has finished the same percent of lessons from his piano book hi book contains 40 lessons how many lessons has liam fineshed
Answer:
Liam has finished 30 of his lessons
Step-by-step explanation:
Jenny has completed 15 out of 20 lessons, which means that she has completed 75% of her lessons. If Liam has completed the same percentage of lessons, then he has completed 30 of his lessons. 40(.75) = 30.
Using the common denominator, what is an equivalent fraction for
4/7 ?
Answer:
6/7,5/7,and 1/8 I think T^TWhat is the equation of line m
Answer:
so I dont know what you mean by that
Step-by-step explanation:
there is no way for anyone to tell sorry
Which answer best describes the shape of this distribution?
bell-shaped skewed left
8 9 10 11 12 13 14 15 16 17
s § 10 11
skewed right
uniform
Next
Answer:
skewed right
Step-by-step explanation:
I took the k12 test and I got the answer right
Enter the sum of numbers as a product of their GCF.
Print
45 +90
The sum of the numbers as a product of their GCF is
Answer:
4, 7 ,2
Step-by-step explanation:
what is the slope of this graph?
Answer: The slope is 0.
Step-by-step explanation: If the line is horizontal, the slope is 0
The rise is 0. 0 divided by any number is 0.
If the line is vertical, the slope is undefined.
No number can be divided by 0, so mathematicians call this situation "undefined."
Simplify, (2^-6)(5)(2^3 x5)^2
Answer:
5^3
Step-by-step explanation:
Apply the property (ab)^n=a^nb^n
Apply property (a^n)^a^nm
Rearrange the terms so they are next to terms with same base
Apply the property a^n a^m=a^n+m
Evaluate the expression |2x-5| for x = -3 and for x = 3
Answer: 11 and 1
Step-by-step explanation:
Absolute value = positive
|2x-5| for x = -3 and for x = 3
|2(-3) - 5| = |-6-5| = |-11| = 11
|2(3) - 5| = |6-5| = 1
How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long
Answer:
it depend on which angle is the sun is
Step-by-step explanation:
Answer:
It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!
Step-by-step explanation:
Imagine you are falling into a deep hole full of poisonous spiders and snakes. How would you survive? Also, what's 1000 - 7?
Answer:
I would survive by trying to stick on the walls
1000-7 = 993
3$ pre child 5$ adult totaling 374 tickets sold at the cost of 1524 dollars. how many child and adult tickets were sold
Answer:
173 children tickets were sold and 201 adult tickets were sold
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
Hence 173 children tickets were sold and 201 adult tickets were sold