Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [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]
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that [tex]p = 0.07[/tex]
A day care program has capacity for 8 children in that age range.
This means that [tex]n = 8[/tex]
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]
0.337 = 33.7% probability that one of the eight children has a food allergy.
Finish labeling the number of elements in the regions in the Venn diagram shown to the right, where the subsets
A, B, and C of the universe, U, satisfy the following conditions.
n(U) = 100
n(ANB) = 14
n(A) = 40
n(BNC) = 13
n(B) = 50
n(ANC) = 14
n(C)= 30
n(ANBNC) = 7
q=
S=
t=
V=
w=
X=
Answer:
t=14
v=13
q=12
s=23
w=-4
x=28
Step-by-step explanation:
we know that the universal set =100
so, everything in it must add up to 100
first, from the information given to us,
t= n(A n C)= 14
v=n(B n C)= 13
to find q
we know from our guide that n(A) =40
which means everything inside A will add up to 40
therefore,
q + 7 + 7 + t = 40
and we already know that t = 14
so, that will be;
q + 7 + 7 + 14 = 40
therefore, q = 12
to find s,
we all know that n(B) = 50
which means that everything inside B will be equal to 50
therefore,
s + 7 + 7 + v = 50
and we know that v = 13
therefore,
s + 7 + 7 + 13 = 50
and s will end up to be = 23
to find w,
we know that n(C) = 30
so, everything in C end up to be all equal to 30
therefore,
t + 7 + w + v = 30
from our solution, t = 14, v = 13
so,
14 + 7 + w
q = 19, s = 30, t = 7, v = 6, w = 10, x = 7.
What is a set ?A set is a collection of well defined objects.
According to the given question of Venn diagram given,
n(U) = 100, n(A∩B) = 14, n(A) = 40, n(B∩C) = 13, n(B) = 50, n(A∩C) = 14, n(C) = 30 and n(A∩B∩C) = 7.
t = n(A∩C) - n(A∩B∩C).
t = 14 - 7
= 7.
q = n(A) - [ n(A∩B) + t ]
q = 40 - ( 14 + 7 )
q = 40 - 21
q = 19.
v = n(B∩C) - n(A∩B∩C)
v = 13 - 7
v = 6.
s = n(B) - [ n(A∩B) + v ]
s = 50 - ( 14 + 6 )
s = 30.
w = n(C) - [ n(A∩C) + v ]
w = 30 - ( 14 + 6 )
w = 10.
We know x = n(U) - q - s - w - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C).
x = 100 - 19 - 30 - 10 - 14 - 13 - 14 + 7.
x = 7.
learn more about sets here :
https://brainly.com/question/18877365
#SPJ2
How would I write out the diagram if A is a subset of B
Answer:
See image.
Step-by-step explanation:
See image.
Convert 150 degrees to radians.
Answer:
Option 2
Step-by-step explanation:
Radians = 150 × π/180
=5π/6
EASY FOR MOST! PLEASE HELP! ALG 1!!! WILL MARK BRAINLIEST
y=x+7
--------------------
take the x and add 7
Evaluate the expression.
Step-by-step explanation:
[tex]{ \huge{ \{}}{ \rm{ [(30 - 60) \div ( - 30)] {}^{2} - 15{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[( - 30) \div ( - 30)] {}^{2}{ \huge{ \}}} \div ( - 7) }} \\ \\ \dashrightarrow \: { \huge{ \{}}{ \rm{[1] {}^{2} { \huge{ \}}} \div ( - 7)}} \\ \\ \dashrightarrow \: { \rm{1 \div ( - 7)}} \\ \\ { \boxed{ \boxed{ \rm{ \: - \frac{1}{7} \: \: }}}}[/tex]
please mark this answer as brainlist
Which absolute value function is equivalent to the piecewise function shown ?
A)
f(x) = |x| - 3
B)
f(x) = |x-3|
C)
f(x) = |x|+3
D)
f(x) = |x+ 3|
Answer:
I dont get what u are asking but i think it is 2X
Step-by-step explanation:
2X
What is the primary difference between exponential and linear functions?
A: The growth of an exponential function is proportional to the previous growth while the growth of a linear function is constant.
B:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is constant.
C:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is proportional to the quadratic growth.
D:The growth of an exponential function is proportional to the quadratic growth while the growth of a linear function is constant.
Answer:
A
Step-by-step explanation:
We know that the growth of a linear function will always be constant. So, that eliminates B and C.
A quadratic function can be a function such as [tex]x^2[/tex], or [tex]5x^2+7x[/tex], etc.
An exponential function wouldn't be [tex]x^2[/tex], it would be [tex]2^x[/tex]! Or [tex]3^x[/tex], or [tex](1.738283)^x[/tex], etc. Therefore, D is eliminated.
So, the answer is [tex]\boxed{A}[/tex] and we're done!
4. Find the scale factor using the given scale drawing and measurements below.
Answer:
Actual=3cm
Scale=5cm
3x=5
3/3x=5/3
X=5/3
The scale factor is 5/3
20pens cost #300 and 50pens cost #750
(a)is the cost of pens directly proportional to the number of pens?
Answer:
669
Step-by-step explanation:
Pls i need this as soon as possible
A history teacher has given her class a list of seven essay questions to study before the next test. The teacher announced that she will choose four of the seven questions to give on the test, and each student will have to answer three of those four questions. Suppose that a student has enough time to study only five questions. What is the probability that the student will have to answer a question that he or she did not study?
Round 607.5 to the nearest whole number.
Answer:
608
Step-by-step explanation:
607.5 on a number line would be round 608
because 5 is rounded to 10 like that
Apply sam technique
What is the length of the line segment with endpoints (12.7, −6.5) and (−13.5, −6.5) ?
Answer:
Its 26.2
Step-by-step explanation:
I just took the test
Yw :DD
Answer:
The answer is 26.2
Step-by-step explanation:
I took this test, got it wrong, then it explained it so that I could completely understand the question.
Set the mean and standard deviation to 0 and 5 , respectively. Approximately 5% of the area under the normal curve lies to the right of 8.2 . Consider what would happen if you were to change the mean to 50 and keep the standard deviation at 5 . Can you predict the new value for which approximately 5% of the area under the normal curve lies to the right of this value? Enter your answer accurate to one decimal place.
Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
A similar problem is given at https://brainly.com/question/15583760
Help please? I’m not too sure what to do?
A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?
Answer:
75
Step-by-step explanation:
Average needed to get grade C = 70
Average = Total Amount / No of Items.
No of items = 4
therefore Total needed = 70 x 4 = 280
current total score = 66.75 + 66 + 72.25 = 205
the fourth test minimum score = 280 - 205 = 75
Answer: i thank it is 75
Step-by-step explanation:
hope i help
I NEED HELP WITH THIS MATH PROBLEM!!!!
Which expression is equivalent to 6f-1+7f-8?
13f+7 5f-1
-f+7 or -9+13f
Answer:
Step-by-step explanation:
6f - 1 + 7f - 8 = 6f + 7f - 1 - 8
= 13f - 9
Combine like terms. Like terms have same variable with same power.
Answer:
-9+13f
Step-by-step explanation:
6f+7f = 13f
-1 + -8= -9
So the sum of them is -9+13f
I identify the 3d shape below
Rectangular prism
-------------------------------
−x2+3x−2 if x=−4 help me
Answer:
-6
Step-by-step explanation:
-(-4)2+3(-4)−2 would be the equation so you'd just have to solve it using PEMDAS
What is the nth term rule of the quadratic sequence below?
-5, -4,-1,4, 11, 20, 31, ...
Tn =
Answer:
59
Step-by-step explanation:
[tex]\sqrt{1.69}[/tex]
1.3 Is that the answer you looking for
Find the axis of symmetry for this parabola:
y = -3x2 + 6x + 1
Write your answer as an equation.
The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :
x = 1Brainliest to the most elaborated answer
Answer:
The answer is that you have to find tan x which is by slanted by o,n,2
Step-by-step explanation:
-5 (-4p-3)>-105
can i get some help on that?
Answer:
p>-6
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
20p+15>−105
Step 2: Subtract 15 from both sides.
20p+15−15>−105−15
20p>−120
Step 3: Divide both sides by 20.
20p/20 > -120/20
p>-6
Answer:
p > -6
Step-by-step explanation:
-5(-4p-3) > -105
First, multiply out the left side to get:
20p+15 > -105
Then take fifteen away from both sides to get:
20p > -120
Then divide both sides by twenty to get:
p > -6
0.5x+2 is it a linear function? yes or no
pls help
Answer:
yes
Step-by-step explanation:
when graphed it is a non vertical line.
Help me solve this algebra question.
9514 1404 393
Answer:
5.33 cm
Step-by-step explanation:
The smallest positive zero of the polynomial with d=0.55 is about 5.33. We presume the units are cm.
The ball sinks to a depth of 5.33 cm.
__
I find a graphing calculator shows the zeros of higher-degree polynomials easily. The function graph is attached.
For the purpose here, the vertical scale factor π/3 can be eliminated, as it does not change the values of the zeros. That is, the polynomial we need to solve is x²(x -15) +275 = 0.
It turns out that a reasonable iterator for finding a solution is x' = √(275/(15 -x)). x = 5 is a reasonable starting point. The iterator is what you get by solving for the x outside the parentheses in the above cubic equation.
Please let me know if this is true or false
Answer:
True hai
hope this help you ^0^
whats 76x168 + 69+87=
Answer:
12,924
Step-by-step explanation:
76x168= 12,768
and...
69+87= 156
now we add them together...
12,768+156= 12,924
Hope this helped you- have a good day bro cya)
1. If the measures of two angles of a triangle are 19° and 80°, find the measure of the third angle.
19+80=180
99=180
180_99
81
Evaluate.
3⋅2^3+5^2−18÷6
25
31
40
46
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's evaluate :
[tex]3(2) {}^{ 3} + {5}^{2} - (18 \div 6)[/tex][tex](3 \times 8) + (25) - (3)[/tex][tex]24 + 25 - 3[/tex][tex]49 - 3[/tex][tex]46[/tex]Answer:
[tex]46[/tex]
Step-by-step explanation:
Hey there,
Before solving the sum you have to know about the BODMAS theorem.
That means you have to solve this sum according to the BODMAS theory.
BODMAS theory is,
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
Let us solve the sum now.
[tex]3 \times {2}^{3} + {5}^{2} - 18 \div 6 \\ 3 \times 8 + 25 - 18 \div 6 \\ 24 + 25 - 3 \\ 49 - 3 \\ = 46[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Jack was seven years older than Pacella together their ages total 171 years. what will the ages
Answer:
164
Step-by-step explana
Answer:
82-Pacella
89-Jack
Step-by-step explanation:
x is Pacella
y is jack
y=7+x
x+y=171
Graphing these, they intersect at (82,89)