Question:
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.
Type of Crust Number Sold
Thin crust 312
Thick crust 245
Stuffed crust 179
Pan style 304
Based on this information, of the next 4500 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.
Answer:
1060 thick crusts
Step-by-step explanation:
Given
The above table
Required
Expected number of thick crust for the next 4500
For last week data, calculate the proportion of thick crust sold
[tex]\hat p = \frac{Thick\ crust}{Total}[/tex]
[tex]\hat p = \frac{245}{312+245+179+304}[/tex]
[tex]\hat p = \frac{245}{1040}[/tex]
[tex]\hat p = 0.235577[/tex]
For the next 4500;
[tex]n = 4500[/tex]
The expected number of thick crust is (E(x)):
[tex]E(x) = \hat p * n[/tex]
[tex]E(x) = 0.235577 * 4500[/tex]
[tex]E(x) = 1060.0965[/tex]
[tex]E(x) \approx 1060[/tex]
A "pay-what-you-pull" raffle is an alternative to a standard raffle where a person blindly draws a raffle ticket, say out of bag, and agrees to pay the amount written on the raffle ticket (as opposed to having one fixed price for each raffle ticket). The raffle ticket is then entered into a draw for a prize. Suppose you draw 2 raffle tickets without replacement from a bag with 4 tickets which have prices $1, $2, $3 and $4. How much can you expected to pay for your 2 raffle tickets?
To find the expected amount you would pay for your two raffle tickets, we need to calculate the expected value of the sum of the prices on the tickets.
Let's denote the prices on the tickets as follows:
Ticket 1: $1
Ticket 2: $2
Ticket 3: $3
Ticket 4: $4
Since you are drawing two tickets without replacement, there are a total of 4C2 = 6 possible combinations of two tickets.
The expected value (E) can be calculated by summing up the products of each combination and its corresponding probability. The probability of each combination is 1/6 since all combinations are equally likely.
The expected amount you would pay for your two raffle tickets is given by:
[tex]\[E = \frac{1}{6}(\$1 + \$2) + \frac{1}{6}(\$1 + \$3) + \frac{1}{6}(\$1 + \$4) + \frac{1}{6}(\$2 + \$3) + \frac{1}{6}(\$2 + \$4) + \frac{1}{6}(\$3 + \$4)\][/tex]
Simplifying the expression, we find:
[tex]\[E = \frac{\$3 + \$4 + \$5 + \$5 + \$6 + \$7}{6} = \$5\][/tex]
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Find the distance between the points (–10,3) and (–2,3).
Answer:
8
Step-by-step explanation:
10 - 2
can some please help me with this problem?
Answer:
b
Step-by-step explanation:
its a negative slope, so you can eliminate c and d. even though the scale is 2, the slope always pertains to $1 increase and not $2 increase.
Test whether there is a difference in the pattern of freshman class ranks (an ordinal scale variable) of the newly-inducted sophomore members across five sororities at Mega University.
The required answer is by conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.
To test whether there is a difference in the pattern of freshman class ranks among the sophomore members across five sororities at Mega University, we can use a statistical test called the Kruskal-Wallis test. The Kruskal-Wallis test is a non-parametric test used to compare the distributions of three or more independent groups.
In this case, the five sororities represent the independent groups, and the freshman class ranks of the sophomore members within each sorority are the ordinal scale variable of interest. The Kruskal-Wallis test will assess whether there are statistically significant differences in the distribution of freshman class ranks across the five sororities.
Here is a step-by-step explanation of how to conduct the Kruskal-Wallis test:
Step 1: Formulate the null and alternative hypotheses.
Null hypothesis (H₀): There is no difference in the pattern of freshman class ranks across the five sororities.
Alternative hypothesis (H₁): There is a difference in the pattern of freshman class ranks across the five sororities.
Step 2: Collect the data.
Gather the freshman class ranks of the sophomore members for each sorority. Ensure that the data is properly coded and organized.
Step 3: Perform the Kruskal-Wallis test.
Apply the Kruskal-Wallis test to the data. The test will compare the distributions of the ordinal data across the five sororities and determine if there are significant differences.
Step 4: Interpret the results.
Analyze the output of the Kruskal-Wallis test, which typically provides a test statistic and a p-value. If the p-value is below a predetermined significance level (e.g., 0.05), we reject the null hypothesis and conclude that there is evidence of a difference in the pattern of freshman class ranks across the five sororities.
Step 5: Post-hoc analysis (if necessary).
If the Kruskal-Wallis test indicates significant differences, further analyses, such as pairwise comparisons or Dunn's test, can be conducted to identify which specific sororities differ from each other.
By conducting the Kruskal-Wallis test, we can determine if there are statistically significant differences in the pattern of freshman class ranks among the sophomore members across the five sororities at Mega University.
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Given y varies directly as x, find the constant of variation k.
Answer:
y=k×x
so k =-1/2
ie: -1=-1/2(2)
-1=-1
hope this helps hshshsjjss
What is the answer to the question
Someone please help me I’ll give out brainliest please dont answer if you don’t know
Answer:
-5 + 4n
Step-by-step explanation:
-1/2(10 - 8n)
-5 + 4n
C. Question 2 of Online Tutorial 5 Test at 20% significance level whether one of the drugs is more effective than the other.
(a) The absolute value of the critical value of this test is type your answer...
(b) The absolute value of the calculated test statistic is type your answer...
(c) The p-value of this test is type your answer....
The p-value of this test is 0.0294.
a) The absolute value of the critical value of this test is "1.645".
The critical value for the given test can be calculated using the following formula;`
Critical value =
± z_(α/2)`
Where,`α` is the level of significance of the test.
`z_(α/2)`
is the critical value from the standard normal distribution table.
Since, the significance level of the test is 20%,
α = 0.2 or 0.20
Level of Significance = 0.20α/2 = 0.20/2α/2 = 0.10
Now, the critical value of the test can be found from the standard normal distribution table at 0.10 level of significance.
It comes out to be 1.645.
So, the absolute value of the critical value of this test is 1.645.
b) The absolute value of the calculated test statistic is "2.23".
The test statistic for the given test is the t-value calculated using the sample data.
It can be calculated using the following formula;
`t = (x¯1 - x¯2) / [ s_p * √(1/n1 + 1/n2) ]`
Where,`x¯1 and x¯2` are the sample means.
`s_p` is the pooled standard deviation.
`n1 and n2` are the sample sizes.
So, the test statistic of the given test comes out to be 2.23.So, the absolute value of the calculated test statistic is 2.23.
c) The p-value of this test is "0.0294".
The p-value for the given test is the probability of getting a t-value more extreme than the calculated t-value, assuming the null hypothesis is true.
The p-value can be calculated using the t-distribution table.
The degrees of freedom for the given test is
`df = n1 + n2 - 2`.
Substituting the values in the formula, the p-value for the given test comes out to be 0.0294.
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Please Help, GodBless
Answer:
-3/2
Step-by-step explanation:
The rate of change is the same as slope
Find the sum of the interior angle measures of the polygon.
Answer:
360
Step-by-step explanation:
All the angles of a polygon add up to 360, thats kinda just how it is haha
need help plz im struggling
Answer:
12057.6
Step-by-step explanation:
V = πr²h
3.14 x 16² x 15
3.14 x 16² = 803.843.14 x 803.84 = 12057.6PLEASE HURRY 12 POINTS PLEASE HELPPPPPP
Step-by-step explanation:
to find the area of a circle, it is pi times radius squared. so 1 times pi squared is pi^2 the area is 4 plus 2pi^2
help i need the answer
Answer:
NO
Step-by-step explanation:
If the diameter of the circle is doubled the area will be increased 4 times
Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?
Answer:
18 hours
Step-by-step explanation:
9/0.50 = 18 hours
$5,000 is deposited in an account that receives 6.1 percent interest compounded continuously. How much money is in the account after six years?
$30500 ..............................................................................................................................
1. El ayuntamiento de un pueblo quiere asfaltar
una plaza circular que tiene en el centro una
fuente, también circular, para celebrar allí con-
ciertos de música a lo largo del año. Si la fuente
tiene un diámetro de 4 m y la plaza, uno de 16
m, ¿cual será el área de la región por asfaltar?
Can someone help me out please.
Answer:
area = (10 x 19) - (0.5 x 19 x 5) = 142.5 in²
Step-by-step explanation:
Answer:
142.5 in^2
Step-by-step explanation:
Area of trapezoid= a + b / 2 · h (a and b are bases of the trapezoid)
A= 5 + 10 / 2 · 19
A= 15 / 2 · 19
A= 7.5 · 19
A= 142.5 in^2
This is just one way to do it. There are many more ways.
HELP!!!!! Question in picture!!!!
Answer:
x = 29
Step-by-step explanation:
We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:
6x + 6 = 180°
Subtract 6 from both sides:
6x = 174°
Divide by 6:
x = 29
To estimate the average service time at a hamburger fast-food restaurant, a management
consultant noted the times that it took for 35 counter persons, a random sample, to complete a
standard order. It took, on average, 72.2 seconds with a standard deviation of 12.8 seconds to
complete the orders.
a)
What can the consultant assert with 95% confidence about the maximum error, if he uses
X bar = 72.2 seconds as an estimate of the true average time to complete a standard order?
b)
Construct a 95 percent confidence interval for the true average time that it takes a counter
person to complete the standard order/
The consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.
With 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.
How to solve the problemsThe standard error of the mean is given by the formula:
SE = s / sqrt(n)
where s is the sample standard deviation and n is the sample size.
In this case, the standard error is:
SE = 12.8 / sqrt(35) = 2.16 seconds (approximately)
The Z-value that corresponds to a 95% confidence level is approximately 1.96 (this value can be looked up in a standard Z-table).
Therefore, the maximum error E can be calculated as:
E = Z * SE = 1.96 * 2.16 = 4.23 seconds (approximately)
This means that the consultant can assert with 95% confidence that the true average time to complete a standard order is within 4.23 seconds of the sample average time of 72.2 seconds.
b) To construct a 95% confidence interval for the true average time, the consultant can use the formula:
CI = x ± E
where x is the sample mean and E is the maximum error.
Substituting the given values:
CI = 72.2 ± 4.23 = (68.0, 76.4)
So, with 95% confidence, the true average time it takes for a counter person to complete the standard order is between 68.0 and 76.4 seconds.
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Maria wants to buy a pair of shoes for $32.50 and a shirt for $8.50. If the sales tax rate is 8.5%, what will be the amount of sales tax on Marias purchase?
Answer:
54.25
Step-by-step explanation:
Refer to Exhibit 6-6. What percentage of tires will have a life of 34,000 to 46,000 miles? a. 38.49% b. 76.98% c. 50% d. None of the alternative answers is correct
The percentage of tires will have a life of 34,000 to 46,000 miles is the correct answer is d. None of the alternative answers is correct.
The provided percentages do not offer a precise estimate of the proportion of tires with a life of 34,000 to 46,000 miles.
Determining the percentage of tires falling within a specific mileage range requires access to accurate statistical data from tire manufacturers or comprehensive studies. Several factors affect tire lifespan, such as driving habits, road conditions, maintenance, and the type of tire itself.
These variables make it difficult to provide an exact percentage without specific information about the tire population in question. To obtain a more accurate estimate, it would be necessary to analyze relevant data, such as tire industry reports or studies on tire longevity.
Tire manufacturers often provide estimated mileage ratings for their products, but these figures are averages and can vary depending on the factors mentioned above.
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If vector v = ( 9 ) find -v and 3v
-6
Find the Errors: A student multiplied the two polynomials below.
(a) Clearly state the two errors that the student made in their multiplication table. (4 points)
(b) State what the correct answer should be. (2 points)
Got It? Do this problem to find out.
y
K
b. The plans for a teeter-totter
are shown at the right. Using
points G and L, find the slope
of the teeter-totter. Then verify
that the slope is the same at
a different location by choosing
a different set of points.
Н.
G
O
х
AN
Check
2
Answer:
2/3
Step-by-step explanation:
rise over run
up and over
helllllllllllllp me please i just wanna finish this worksheet
Answer:
what
Step-by-step explanation:
PLEASE ANSWERS FAST
how do you find the perimeter of the base?
A. Multiply the side lengths
B. Divide the side lengths
C. Add all sides of the base shape
D. Take the square root after multiplying the side lengths
Answer:
C. Add all sides of the base shape
Step-by-step explanation:
perimeter = sum of length of sides of a polygon
Answer: C. Add all sides of the base shape
Rewrite as an addition equation and determine the answer: -3 - - 8 =
Answer:
-3 + 8 = 5
Step-by-step explanation:
When we have a "minus a negative", it's a positive. So the - -8 is the same as + 8.
LMK if you have questions.
-3 + -8 = -11
is that a nice one or something
Please find the next fraction to this sequence! Right answers only!
Answer:
4/15
Step-by-step explanation:
Each fraction is 1/15 less than the previous.
If we make them all the same denominator,
then it would show as:
8/15
7/15
6/15
5/15
The next fraction would be 5/15 - 1/15
which is
4/15
Answer:
4 1
__ because it goes down by ___
15 15
Step-by-step explanation:
PLEASE HELP ASAP ILL AWARD BRAINIEST
Answer:
Сен қазақ сыңба?
Step-by-step explanation:
қазашшаайтшыааа
(z^6/z)^2 QUICK ILL GIVE BRANLIEST
Answer, z10
Step-by-step explanation: