Answer:
Blank = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
blank = x
[tex]x-\frac{1}{2} =\frac{1}{6} \\\\x=\frac{1}{6} +\frac{1}{2} \\\\x=\frac{1}{6} +\frac{3}{6} \\\\x=\frac{4}{6} \\\\x=\frac{2}{3}[/tex]
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:
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
**Help Needed**
The picture below is a sketch of a picnic area with a courtyard. How much of the courtyard is available for use?
Answer:
87 m²
Step-by-step explanation:
The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.
The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle
✔️Area of the courtyard (pink rectangle) = L*W
L = 13 m
W = 7 m
Area of pink rectangle = 13*7 = 91 m²
✔️Area of the picnic (white rectangle) = L*W
L = 4 m
W = 1 m
Area = 4*1 = 4 m²
✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²
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
An element with a mass of 700 grams decays by 6.1% per minute. To
the nearest tenth of a minute, how long will it be until there are 220
grams of the element remaining?
Answer
m =18.4 minutes
Step-by-step explanation:
220 = 700 x (0.939)^m
220/700 = (0.939)^m
m = Log(220/700) / Log(0.939)
m =18.4 minutes
Answer: the answer would be 18.4 minutes
Step-by-step explanation:
Complete the equation of the line whose y-intercept is (0, -1) and slope is 4.
(Khan academy)
Answer:
y = 4x - 1
Step-by-step explanation:
y = mx + b
Here m is slope and b is y-intercept
m = 4; b = -1
y = 4x - 1
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°
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.
Juanita is a 28-year old female college graduate from the South. Molly is a 28-year female college graduate from the West. Jennifer is a 28-year female college graduate from the Midwest. (i) Construct a 95% confidence interval for the difference in expected earnings between Juanita and Molly. (ii) Explain how you would construct a 95% confidence interval for the difference in expected earnings between Juanita and Jennifer.
Answer:
Hello your question has some missing information attached below is the missing information
answer :
i) ( 0.158 , - 1.018 )
ii) the difference in expected earnings can be computed as
( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]
Step-by-step explanation:
i) Construct a 95% confidence interval ( between Juanita and Molly )
Expected difference in earnings = ( X[tex]_{6}[/tex][tex]_{,A}[/tex] - X[tex]_{6.B}[/tex]) = [tex]\beta _{0}[/tex]= ( [tex]\beta + \beta _{6}[/tex] )
∴ 95% confidence interval
-0.43 ± 1.96 * 0.30 = [ -0.43 ± 0.588 ] = ( 0.158 , - 1.018 ) ( hence confidence interval at 95% = 1.96 )
ii) Construct a 95% confidence interval ( between Juanita and Jennifer )
Juanita is a student from the south and Jennifer is a student from Midwest
therefore the difference in expected earnings can be computed as
( [tex]X_{6,A} - X_{5,C} ) = \beta _{0} + \beta _{6} - ( \beta _{0} - \beta _{5} ) = \beta _{6} - \beta _{5}[/tex]
therefore a 95% confidence interval can be calculated with the above regression model.
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
Type 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
What is the circumference of the circle below? Use 3.14 for π.
Answer:
78.5
Step-by-step explanation:
.....ur welcome.........
3.14×5²
Answer:
C. 31.4
Step-by-step explanation:
To find circumference, you need to use πd. Or just pi times whatever the circumference is. Hope this helped you!!!
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.
Payne saves $2,000 at a yearly simple interest rate of 2%. He earns $280 in interest. How many years did he save his money?
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:
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
Find g(-6) when g(x)
= x+3/x-1
Answer: The answer would be 3/7.
Step-by-step explanation:
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 DesignThe diagram shows a convex polygon what is the value of s please help me
(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
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
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
Create an inequality to describe the possible values for the total area, A, in square feet of your green section.
The Area of triangle represented using inequality is A ≤ 48.67 [tex]ft^{2}[/tex].
What is Area of triangle?
The area of a triangle is half the product of its base and height.
i.e., Area of triangle= [tex]\frac{1}{2} * b* h[/tex]
Given, b= 6.2 feet and h= 15.7 feet
Area of triangle= [tex]\frac{1}{2} * b* h[/tex]
= 0.5 x 6.2 x 15.7
= 48.67 [tex]ft^{2}[/tex]
The inequality will be: Area of triangle, A≤ 48.67 [tex]ft^{2}[/tex]
learn more about Area of triangle here:
https://brainly.com/question/19305981?
#SPJ2
solve the rational equation 8-6/x=5+12/x
x=6 is the answer to 8-6/x=5+12/x
A girl with a height of 5 ft casts a shadow of 2 ft. What would be the height of a building that casts a shadow 50 ft long at the same time?
Answer:The person is 5feet, 6inches Note: 12 inches= 1 foot, so 6 inches= 1/2 a feet and 6 inches= .5 feet
Step-by-step explanation:
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
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.
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
9514 1404 393
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°
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