Answer:
Unit price of 12 cupcakes for 25 dollars = 25/12
= 2.08 dollars
Answer:
The unit price would be $2.08 for a cupcake because if you divide 12 and 25, you would get 2.08.
Step-by-step explanation:
Suppose price changes of a particular commodity are independent and identically distributed random variables with µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes. Use the Central Limit Theorem to compute the probability that the average price change of this sample is less than 1.0.
Answer:
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
Step-by-step explanation:
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.
Mean µ = 1.1 and variance σ2 = 0.16. You collect a sample of 36 such price changes.
So the standard deviation is:
[tex]\sigma = \sqrt{\sigma^2} = \sqrt{0.16} = 0.4[/tex]
Sample of 36:
This means that [tex]s = \frac{0.4}{\sqrt{36}} = 0.0667[/tex]
Probability that the average price change of this sample is less than 1.0.
This is the pvalue of Z when X = 1. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.1}{0.0667}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
0.0668 = 6.68% probability that the average price change of this sample is less than 1.0.
an economics professor gives a test to gauge the math preparedness of his students. he believes that the performance on the test and the number of hours studied are the main factors. for a group of 60 students we have what is the predicted final exam score
Answer:
hello your question is incomplete, the missing part of the question is attached below
answer :
1) β1 = 0.25
β2 = 4.85
2) 40.55 + 0.25 ( math score ) + 4.85 ( hours )
Step-by-step explanation:
1) The estimate for β1 and β2
From the attached excel result the estimates are ;
β1 = 0.25 : This shows the change in the mean value of the final score in relation to the change in math score while the time is kept constant
β2 = 4.85 : This represents the change in the mean value of the final score in relation to the change in time while the math score is held constant
2) sample regression equation
The Final sample regression equation = 40.55 + 0.25 ( math score ) + 4.85 ( hours )
What is the minimum z-score that a data point could have in order to remain in the top 30% of a set of data? Round your answer to two decimal places.
The minimum z-score that a data point could have to remain in the top 30% of the data is 0.52.
We have,
To find the minimum z-score that a data point could have to remain in the top 30% of a set of data, we need to find the z-score that corresponds to a cumulative probability of 0.70 (since the top 30% is equivalent to the cumulative probability of 0.70).
Using a standard normal distribution table or a statistical calculator, we can find that a cumulative probability of 0.70 corresponds to a z-score of approximately 0.52 (rounded to two decimal places).
Therefore,
The minimum z-score that a data point could have to remain in the top 30% of the data is 0.52.
Learn more about z-score here:
https://brainly.com/question/15016913
#SPJ2
20 points for both questions
Answer:
first is 30 2nd was 18
Step-by-step explanation:
Answer:
1st on is A second is c
Step-by-step explanation:
If the measure of CD is 45°, what is the arc
length of CD?
C С
18 cm
Answer:
9/2π cm is the correct answer.
Step-by-step explanation:
Arc Length of CD: 1/8 (36π)= 36/8π = 9/2 π cm.
the angle θ lies in quadrant ii. cos θ = -2/3 what is tan θ?
options:
√5/3
-√5/2
√5/2
-√5/3
Answer:
-√5/2
Explanation: I took the quiz.
Can someone help me simplify and write in power form and show me step by step how to do it for both problem 8 and 9?
Answer:
[tex]\frac{-1.1x^{25} }{-1.1x^{11} }[/tex] [tex]\frac{mx^{67} }{mx^{37} }[/tex]
Step-by-step explanation:
Sine (-1.1) is the same as (-1.1) you just put them together and if the numbers are by each other you just add up the exponents. But if the question says this [tex]\frac{-1.1x^{2} }{-1.1x^{3} }[/tex] than you subtract the exponents.
·[tex](-1.1)x^{13}X (-1.1)x^{12} = add\\\frac{-1.1x^{2} }{-1.1x^{2} } = subtract[/tex]
Hope this helps. Have a blessed day :)
Jordan wants to estimate the number of students in his school who have their own cell phone. He surveys every eighth person who enters the cafeteria for lunch. Is this sample biased or unbiased. Explain.
Answer:
Step-by-step explanation:
I wouldn't consider it biased, but I'll bet a stats person would. Their reason would be that those who enter the cafeteria are select segment of a school population.
What about the kids who go to clubs at noon? or other activities.What about those who are only there part time and have jobs or just go home at noon?What about those who bring lunches and want to sit outside or even in their cars if they have one?What about those who are serving detentions?Those are just four exceptions. There must be others -- like a staggered lunch period.
The unemployment rate decreased by 1/10%
in one month. Write 1/10% as a fraction and
as a decimal.
Answer:
1
-
10
0.1
Step-by-step explanation:
Answer:
Step-by-step explanation:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
plzzzzzzzzz help me on this
Answer:
B . . . . . .. . ....... .......
Answer:
is here a choice D? If there is, it must not be true
A, B, and C are true
A) 50<100
B) 60>30
C) 14>9
Find the value of k for which x-7 is a
factor of f(x) = x3 - 6x2 + kx - 7. State
the remainder when f(x) divided by X-5.
Answer:
answer is in the picture above
Plz help me well mark brainliest if you are correct!!
Answer:
3
Step-by-step explanation:
1 hour = 60 minutes.
1/4 of an hour = 60 minutes / 4 = 15 minutes.
15 minutes / 5 minutes segments = 3
There are 3 five-minute segments in 1/4 of an hour
Answer:
C.
Step-by-step explanation:
Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.
You can do it like this 60 * 1/4 = 60/4
60/4 = 15/1
15 = 5 * 3
Help me somebody pleaseee
Answer:
Hope i helped but i am not sure chief if that is what you needed
Step-by-step explanation:
you said in the comment we need to find the gallons so if we have the cost 10$ per 2 gallons then 20$ per 4 gallons. Then technicly 1 gallon will be 0 $
But if we need to find the value of the red dots it's starting from the top
40$ for the value of 8
30$ for the value for 6
20 $ for the value of 4
10$ for the value of 2
You can conclude that the cost bar increases by 2 each time
Cone S and cone T are similar. The volume of cone S is 768 768pi cm3 cm3 and the
volume of cone T is 6144 6144pi cm3 cm3. What is the height of cone S if the height
of cone Tis 24 cm?
24 cm
cone S
cone T
Step-by-step explanation:
This is a ratio problem
Vol cone = 1/3 π r² h
Cone S is 768pi cm3
Cone T is 6144pi cm3
Cone S and cone T are similar I think this means they have the same radius
Vol cone S = 1/3 π r² hs Vol cone T = 1/3 π r² ht
Vol Cone S / Vol Cone T = 1/3 π r² hs / 1/3 π r² ht
Vol Cone S / Vol Cone T = hs / ht
768 / 6144 = hs / 24 (note the π cancelled out
h cone s = 768(24) / 6144
h cone s = 3 cm
What is the exponential form of the following expression? (-5)(-5)(-5) . c . c .c
(-5) . C3
(-5)3 . 3c
(-5)3 . c3
(-5) . c6
need help fast pls?
Answer:
[tex](-5)^3 * c^3[/tex]
Step-by-step explanation:
Given
[tex](-5)(-5)(-5) * c * c * c[/tex]
Required
The exponent form
We have:
[tex](-5)(-5)(-5) * c * c * c[/tex]
Apply the following law of indices;
[tex]x * x * x ...... = x^n[/tex]
So, the expression becomes:
[tex](-5)^3 * c^3[/tex]
Answer:
its c
Step-by-step explanation:
Did it on edge
what is the surface area of the right cylinder below. radius 3 height 7
Answer:
160 sq. uits
Step-by-step explanation:
160 sq. uits é a resposta
what is the domain of y=log5x?
A. all real numbers less than 0
B. all real numbers greater than 0
C. all real numbers not equal to 0
D. all real numbers
I'm sorry to rush but I need the answer kinda quickly
Please answer ASAP! If 0 is an angle in quadrant II, what is the value of sin(0)
Answer:
Option A
Step-by-step explanation:
It's given that cosθ = [tex]-\frac{2\sqrt{5} }{5}[/tex]
Since, cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]-\frac{2\sqrt{5} }{5}[/tex]
= [tex]\frac{2}{\sqrt{5}}[/tex]
By applying Pythagoras theorem in the right triangle,
(Hypotenuse)² = (Opposite side)² + (Adjacent side)²
(√5)² = (Opposite side)² + (2)²
5 = (Opposite side)² + 4
Opposite side = √(5 - 4)
= 1
Since, sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{1}{\sqrt{5}}[/tex]
Since, sine is positive in IInd quadrant,
sinθ = [tex]\frac{1}{\sqrt{5}}[/tex]
Therefore, option A will be the answer.
63 is 9% of what number?
Answer:
63 is 9% of 700.
Step-by-step explanation:
To solve this problem you multiply 63 by 100 and then divide the total by 9 as follows: (63 x 100) / 9
Thus, the answer is 700.
Please help this is including substitution and system of equations.
Answer: I gotcha
Step-by-step explanation:
B, C, C, D, B
I just helped my brother with this
the diameter of your bycicle wheel is 25 inches how far will you move in 2 turns of your wheel use 3.14 for pi
Answer:
157 in
Step-by-step explanation:
2x3.14x25 = 157 in
A bottle contains 1/3 of water if it's is poured equally into four cups how much water will be in each cup
Answer: 1/3 must be divided into fourths
Step-by-step explanation:
Helpppp!! Timed !!!!!
Answer:
the last one
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
i think so,it is D
hope it helps
have a nice day
NO FILES!!
Find the following amount.
What is 75% of 4?
75% of 4 is
Answer:
75% of 4 is 3
Step-by-step explanation:
Hope this helps you :)
Answer:
75% of 4 is 3.
Step-by-step explanation:
75% [tex]=\frac{75}{100}[/tex]
[tex]\frac{75}{100} *4=\frac{300}{100}[/tex]
[tex]\frac{300}{100}=3[/tex]
Hope this helps; have a great day!
What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2
Help please ?
Write a quadratic equation in standard form with the given root(s) -5,1/2
Answer:
2x^2+9x-5
Step-by-step explanation:
(X+5)(x-1/2)
x^2-1/2x+5x-5/2
x^2+9/2x-5/2
multiply through by 2
2x^2+9x-5
Find the perimeter. Round to the nearest whole number.
15 is c and 30 is a)
Answer:
45
Step-by-step explanation:
Hope this helps.
What is the value of x in the equation 2(x-3)+9=3(x+1)+x?
с Of
O x= -3
x = -1
Ο Ο
O x = 0
x= 3
Answer:
The answer is x=0
Step-by-step explanation:
2(0-3)+9=3(0+1)+(0)
2(-3)+9=3(1)+0
-6+9=3
3=3
Yes
GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)
Answer:
.764
Step-by-step explanation:
do it on a calculator (TI84)
Answer:
45.6°
Step-by-step explanation:
take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]
plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°
Identify the solid from the net below *
The solid from the net is a cube
Answer: Cube
A cube has 6 faces, which makes this net accurate.