Answer:
common endpoint
Step-by-step explanation:
wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 2,000,000. 18) Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3.5% of the people in the area where a large wedding is to be held are pollotarian.
This means that [tex]p = 0.035[/tex]
300 guests
This means that [tex]n = 300[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.035[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.035*0.965}{300}} = 0.0106[/tex]
What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals?
This is 1 subtracted by the pvalue of Z when X = 0.05. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.05 - 0.035}{0.0106}[/tex]
[tex]Z = 1.41[/tex]
[tex]Z = 1.41[/tex] has a pvalue of 0.9207
1 - 0.9207 = 0.0793
0.0793 = 7.93% probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals
Answer:7.93%
Step-by-step explanation:
A part of an exponential function is graphed on the grid.
10
6
3
1
1
Which inequality best represents the domain of the part shown?
AX22
By 24.5
CX> 4.5
DY22
Answer:
x ≥ -2
Step-by-step explanation:
my teacher went over this with us
What is Landscape evolution theory
Answer:
Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.
Step-by-step explanation:
hopes this helps
have a good day :)
solve the rational equation 8-6/x=5+12/x
x=6 is the answer to 8-6/x=5+12/x
I need help please asap......................
Answer:
hi
Step-by-step explanation:
I need help with this if you get it right I will mark you as brainlest
Answer:
The answer is 300!
Step-by-step explanation:
Answer: $300
Step-by-step explanation:
How we find it out is by finding 25% of $1,200 which is 300
Find g(-6) when g(x)
= x+3/x-1
Answer: The answer would be 3/7.
Step-by-step explanation:
What is the median for the set of data 3.5 1 3 4
Answer:
3.5
Step-by-step explanation:
Test Scores
1, 1, 2, 3, 3, 4, 4, 5, 5, 5
median(middle #)
(3+4)/2 = 7/2 = 3.5
Answer:
3.5
Step-by-step explanation:
Which of the following statements is true about the number [tex]\frac{30}{2}[/tex]?
- It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
- It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
- It is contained in the set of natural numbers, whole numbers, integers , and rational numbers, but it is not contained in the set of irrational numbers.
- It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.
9514 1404 393
Answer:
(c) - It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
Step-by-step explanation:
The improper fraction (a rational number) reduces to 15, a whole number, natural number, and integer. A ratio of integers is never an irrational number.
The best description is the third one:
- It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
Select all that apply. Which groupings are located on the File tab?
Layout
Share
Print
Insert
Export
Answer:
InsertExportShareStep-by-step explanation:
File Home Insert Page Layout References Mailings Review View DesignType the correct answer in each box. Use numerals instead of words.
Consider function h.
What are the values of the function when x= 0 and when x=4
h(0)=
h(4)=
Answer:
10 16
Step-by-step explanation:
when x= 0 h(x)=2x²-3x+10
⇒ h(0)=2*0²-3*0+10=10
when x= 4 h(x)=[tex]2^{x}[/tex]
⇒ h(4)=[tex]2^{4}[/tex]=16
The value of the given piecewise function at [tex]x=0[/tex] is [tex]h(0)=10[/tex] and the value of the function at [tex]x=4[/tex] is [tex]h(4)=16[/tex].
Important information:
The given piecewise function is:[tex]h(x)=\begin{cases}3x-4, &x < 0 \\ 2x^2-3x+10, &0\leq x < 4 \\ 2^x, & x\geq 4\end{cases}[/tex]
Piecewise Function:The function for [tex]x=0[/tex] is [tex]h(x)=2x^2-3x+10[/tex].
[tex]h(0)=2(0)^2-3(0)+10[/tex]
[tex]h(0)=10[/tex]
The function for [tex]x=4[/tex] is [tex]h(x)=2^x[/tex].
[tex]h(4)=2^4[/tex]
[tex]h(4)=16[/tex]
Therefore, the required values of the piecewise function are [tex]h(0)=10[/tex] and [tex]h(4)=16[/tex].
Find out more about 'Piecewise Function' here:
https://brainly.com/question/17966003
Solve for pizza in the pie chart!
Answer:
24
Step-by-step explanation:
30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24
Answer:
The answer is 24 students
Step-by-step explanation:
The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.
What is the value of x?
Enter your answer in the box.
Answer:
We say that a function is increasing on an interval if the function values increase as the input values increase ...
Step-by-step explanation:
I don’t know how to solve the question so can you explain how you did it so I don’t have to come back on this app.
Can some help with this and maybe explain
Answer:
Step-by-step explanation:
81 = m/9
Divide both sides by 9
9 = m
h ÷ 3 = 12
h = 12/3 = 4
In this way you have to solve the other questions
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
Alternate Exterior
Step-by-step explanation:
This can be considered a alternate exterior angles as alternate exterior angles are pair of angles on the outer side of each of those two lines but on opposite sides of the transversal which angles 3 and 6 show.
The sum of two angle measures is 73.80. One angle has a measure of 44.25. What is X, the measure of the second angle in degrees
Step-by-step explanation:
X1 + X2 = 73.80
Assumption : X1 = 44.25
X2 = unknown angle = 29.55
12/23 plus -11/23 e eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
1/23
Step-by-step explanation:
This honestly super easy, but here it is!
12/23+(-11/23)
With no negatives, it would be 12/23+11/23 and the answer would be 23/23 AKA 1, because 12+11=23.
With negatives though, you always have to subtract the number itself from the positive number if the number is negative. Here we will subtract 11 from 12, which brings us to 1/23.
Hope this helped!
I wouldn't mind a 5-star rating, a thanks, or even a Brainliest :D
-ChocoChocoCho
find the value for x
Answer:
x = 6°
Step-by-step explanation:
Rule of vertical angles claims that the opposite angles ar the same
19x - 4 would be the opposite to 110
and 19x - 4 would equal 110
Lets form an equation
19x - 4 = 110
Evaluating
19x - 4+4 = 110 + 4
19x = 114
x = 114/19
x = 6
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
I need this for math thanks
I’ll answer, but wait, do I send a picture of my work? or not? It says I have to make a table of values, so
(4y^4)^2 without exponents
Answer:
I don't understand but I believe the answer is 16y^8
Step-by-step explanation:
Answer: (4 x a x a x a x a) x (4 x a x a x a x a)
HOPE THIS HELPS
What is the teams score?
Answer:
Can you give more information?
sorry I can't give you an answer, try posting the question again with all the information!
Find a positive angle less than 360° that is coterminal with the given angle.
410°
Answer:
50°
Step-by-step explanation:
Subtract 360° from 410°
50° is positive, less than 360°, and is a coterminal of 410°
Can someone help I know it's easy. ( picture attached)
Answer:
B 125.6
Step-by-step explanation:
We can use the formula for the circumference to solve.
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex](20)
C=(6.28)(20)
C=125.6
NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
Answer:
90 degree angle i think
Step-by-step explanation:
Hope this helps you
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Answer:
b = 90°
Step-by-step explanation:
Angles a, b, c total 180°, and angles a and c are complementary, meaning they total 90°. The measure of angle b is ...
b = 180° -90°
b = 90°
__
All of the angle measures are ...
a = 90° -c = 90° -56° = 34°
b = 180° -90° = 90°
c = given = 56°
d = given = 124°
e = c = 56°
Jason rolls the die 14 times. What is the experimental probability that he will roll a 2
The experimental probability that Jason will roll a 2 is 3/14.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Given that, Jason rolls the die 14 times.
From the given table,
Number of favorable outcomes = 3
Total number of outcomes = 14
So, the probability = 3/14
Therefore, the experimental probability that Jason will roll a 2 is 3/14.
To learn more about the probability visit:
https://brainly.com/question/11234923.
#SPJ2
Find the probability that a randomly selected point within the circle falls into the white area round to the nearest tenth of a percent
Answer:68%
Step-by-step explanation:
find area of the circle=50.2
Find the are of the triangle=16
Then find ratio=16/50.2
Then reduce=8/25.1=32%
Then subtract= 100-32=68%
10. A tractor costs $13,650 and depreciates in value by 14% per year. How much will the tractor be worth after
10 years?
a $2,597.86 b. $13,510.00 c. $3,020.77 d. $50,603.57
The diagram shows a convex polygon what is the value of s please help me
help please. will give Brainly.
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The filling in of the formula for the n-th term is pretty straightforward. The attachment shows how simple it is.
The 7th term is found by evaluating the expression for n=7.
a₇ = 192