Answer:
Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(185.19,0.341)[/tex]
Where [tex]\mu=185.19[/tex] and [tex]\sigma=0.341[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 184.14 we have the following z score:
[tex] z = \frac{184.14-185.19}{0.341}= -3.08[/tex]
Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:
[tex]Y \sim N(110.4,0.137)[/tex]
Where [tex]\mu=110.4[/tex] and [tex]\sigma=0.137[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 110.05 we have the following z score:
[tex] z = \frac{110.05-110.4}{0.137}=-2.557[/tex]
As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the mean finish time for a yearly amateur auto race a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(185.19,0.341)[/tex]
Where [tex]\mu=185.19[/tex] and [tex]\sigma=0.341[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 184.14 we have the following z score:
[tex] z = \frac{184.14-185.19}{0.341}= -3.08[/tex]
Let Y the random variable that represent the mean finish time for the previous year auto race a population, and for this case we know the distribution for X is given by:
[tex]Y \sim N(110.4,0.137)[/tex]
Where [tex]\mu=110.4[/tex] and [tex]\sigma=0.137[/tex]
The z score is given by this formula:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
And for a time of 110.05 we have the following z score:
[tex] z = \frac{110.05-110.4}{0.137}=-2.557[/tex]
As we can see we have a higher z score for the case of the previous year so then we have a more convincing victory on this case since represent a higher quantile in the normal standard distribution.
round 1,384 to the nearest thousand and round 2,332 to the nearest hundred
tevin is 202 years old Catherine is 30 years old how many years until Tevin age is 5 * Katherine's age
To find out how many years until Tevin's age is 5 times Katherine's age, we set up an equation and solve for x, finding that it will take 13 years.
The question is asking us to find out how many years until Tevin's age is 5 times Katherine's age. Let's denote the number of years until this happens as 'x'.
Currently, Tevin is 202 and Katherine is 30.
In x years, Tevin will be 202 + x years old and Catherine will be 30 + x.
Therefore, we want to find x such that:
202 + x = 5(30 + x)
This can be solved as follows:
202 + x = 150 + 5x
Now, we subtract 5x from both sides:
202 - 4x = 150
Subtract 202 from both sides:
-4x = -52
Divide by -4:
x = 13
Therefore, it will take 13 years for Tevin's age to be 5 times Katherine's age.
You are given a square ABCD, and midpoints M and N are marked on BC and CD, respectively. Draw AM and BN, which meet at Q. Find the size of angle AQB.
A square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q. the size of angle AQB 90 degrees.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
square ABCD and midpoints M and N are marked on CB and CD, respectively. Draw AM and BN, which meet at Q.
To show triangles ABM and BNC are congruent
AB = BC
BM = NC
angle B = angle C
Thus, triangles ABM and BNC are congruent by (SAS).
To find ∠AQB
∠AQB =∠ QMB + ∠MBQ (exterior angles of a triangle)
= ∠BNC + ∠MBN (corresponding angles of congruent triangles)
= 90 degrees (exterior angle of triangle BNC)
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Which question is statistical?
A.How many of each species of butterflies did you see on your camping trip?
B.How many different species of butterflies are there in the world?
C.How many Monarch butterflies migrated south this year?
D.How many Monarch butterflies live in the state park?
Answer:
A
Step-by-step explanation:
Find the intersection of the two planes with equations 5(x − 1) + 2y + (z + 1) = 0 and (x − 1) + 7y − (z + 1) = 0. (use the parameter t. enter your answers as a comma-separated list of equations.)
The intersection of two planes can be found by solving the system of equations formed by the equations of the planes. In this case, the intersection is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
Explanation:The intersection of two planes can be found by solving the system of equations formed by the equations of the planes.
To find the intersection, we can set the two equations equal to each other and solve for x, y, and z.
Rewrite the equations in standard form: 5x - 5 + 2y + z + 1 = 0 and x - 1 + 7y - z - 1 = 0Add the equations together: 6x + 9y = 4Solve for x in terms of y: x = (4 - 9y) / 6Substitute the value of x into one of the original equations to solve for z: 5((4 - 9y) / 6 - 1) + 2y + (z + 1) = 0Simplify and solve for z: z = -3 - (23y/6)Therefore, the intersection of the two planes is given by the equations x = (4 - 9y) / 6, y = y, and z = -3 - (23y/6), where y can be any real number.
You are scheduled to receive $38,000 in two yeara. when you receive it, you will invest it for 10 more years at 6.0 percent per yeat. how much will you have in 12 years?
Final answer:
After receiving $38,000 and investing it at a 6.0 percent interest rate per year for 10 years, the student will have approximately $68,052.19 in 12 years.
Explanation:
To find out how much the student will have in 12 years after receiving $38,000 and investing it for 10 years at a 6.0 percent interest rate per year, we need to calculate the future value of the investment using the formula for compound interest.
The formula for the future value FV of an investment over time is given by:
FV = PV * (1 + r)^n
Where:
PV = Present Value of the investment (the initial amount of money)
r = annual interest rate (expressed as a decimal)
n = number of years the money is invested
In this case:
PV = $38,000
r = 0.06 (which is 6.0 percent expressed as a decimal)
n = 10
Plugging these values into the formula, we get:
FV = $38,000 * (1 + 0.06)^10
FV = $38,000 * (1.06)^10
FV = $38,000 * 1.790847
FV = $68,052.186
Therefore, the student will have approximately $68,052.19 in 12 years.
Use the Distributive Property to find (g−7)(g−2).
Final answer:
The product of (g-7)(g-2) is found by applying the Distributive Property, which results in g² - 9g + 14.
Explanation:
To use the Distributive Property to find the product (g−7)(g−2), we need to multiply each term in the first parenthesis by each term in the second parenthesis. This gives us:
g × g = g²
g × (−2) = − 2g
(−7) × g = − 7g
(−7) × (−2) = 14
Combining these we get g² - 2g - 7g + 14. Simplifying by combining like terms, we obtain:
g² - 9g + 14
Therefore, the product (g−7)(g−2) using the Distributive Property is g² - 9g + 14.
What is the slant height if the surface area is 395.64 square meters? (Use 3.14 for π .) r = 7 of a cone
A. 7
B. 9
C. 11
D. 13
The slant height of a cone with a radius of 7 meters and a surface area of 395.64 square meters is approximately 11 meters, which corresponds to option C.
Explanation:To find the slant height of a cone when you know the radius (r) and the surface area, you can use the formula for the surface area of a cone, which is spelled out as A = πrs + πr², where A is the surface area, r is the radius, and s is the slant height. In this case, you know that the surface area (A) is 395.64 square meters and the radius (r) is 7 meters. So, you can rearrange the formula to solve for the slant height(s) : A - πr² = πrs => (A - πr²)/πr = s.
Insert the values into the formula: s = (395.64 - 3.14*7²) / (3.14*7). By performing these calculations, you'll find that the slant height is approximately equal to 11, which corresponds to option C.
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What is the factorization of the trinomial below? x^2 -7x + 6 answers?
Answer:
(x-6)(x-1)
Step-by-step explanation:
this is the correct answer on ape x
Answer:
(x-6)(x-1)
Step-by-step explanation:
Please help me with question 15 ASAP
3.9 practice complete your assignment english 111
The price of a condominium is $102,000. The bank requires a 5% down payment and one payment and one point at the time of closing. The cost of the condominium is financed with a 30-year fixed-rate mortage at 8.5%? Find the required down payment.
The required down payment for a condominium priced at $102,000, with a 5% down payment, is $5,100. This is calculated by multiplying the price of the condominium by 0.05. Therefore, the down payment amount is $5,100.
The price of the condominium is $102,000, and the bank requires a 5% down payment. To find the required down payment, we need to calculate 5% of the condominium's price.
Step-by-step solution:
Express 5% as a decimal: 5% = 0.05Multiply the price of the condominium by this decimal: $102,000 * 0.05Perform the multiplication: $102,000 * 0.05 = $5,100Therefore, the required down payment for the condominium is $5,100.
Harry says that 1/4+1/8=2/8. jane says 1/4+1/8=3/8.whose answer make sense and whose amswer is nonsense? exolain your resoning. draw a model to help.
Sally has a photograph that has an area of 35 square inches. She creates 2 enlargements of the photograph. The enlargements have areas of 140 square inches and 560 square inches. In each photograph, the length is 1 2/5 times the width. Select which of thr following could be th dimensions of the original photograph or one of the enlargements. Mark all that apply
5 inches by 7 inches
20 inches by 28 inches
7 inches by 20 inches
21 inches by 15 inches
10 inches by 14 inches
The potential dimensions that could represent the original photograph and its enlargements, with the length being 1 2/5 times the width, are 5 by 7 inches for the original photograph, and 20 by 28 inches and 10 by 14 inches for the enlargements.
To find the dimensions of Sally's original photograph and the enlargements with the area having the given ratio of length to width as 1 2/5, we need to understand the relationship between the area of two similar objects and their linear dimensions. We are given that the original photograph has an area of 35 square inches, and the enlargements have areas of 140 and 560 square inches. With the length being 1 2/5 times the width in each case, we can work out the possible dimensions for these photographs.
Now, let's consider the list of dimensions provided and determine which ones correspond to an area ratio that matches the original photograph or the enlargements:
5 inches by 7 inches: This has an area of 5 x 7 = 35 square inches, so it could be the original photograph.20 inches by 28 inches: This has an area of 20 x 28 = 560 square inches, which is one of the enlargements.7 inches by 20 inches: The ratio of length to width here is not 1 2/5, so this option is not correct.21 inches by 15 inches: This does not have an area that matches either the original photograph or the enlargements and the ratio of length to width is also not 1 2/5.10 inches by 14 inches: This gives an area of 10 x 14 = 140 square inches, which matches the first enlargement.Conclusively, only some of the dimensions given match the requirements: 5 inches by 7 inches for the original photograph, 20 inches by 28 inches and 10 inches by 14 inches for the enlargements. They adhere to the concept that the ratio of their areas equals the ratio of the squares of their linear dimensions due to scaling.
Fast please help !!!!!!!!!!!! Which number is prime? out of
A. 27
B. 29
C. 32
D. 33
From a sample with nequals=1616, the mean number of televisions per household is 22 with a standard deviation of 11 television. using chebychev's theorem, determine at least how many of the households have between 00 and 44 televisions.
The data set below shows the number of cars parked in the restaurant parking lot during the lunch hour each day for two weeks: 8 7 14 10 13 27 11 10 14 7 12 9 14 9 Which of the following statements is true based on the data set?
C. There is one outlier that indicates an unusually large number of cars were in the parking lot that day.
~ SourCreamAndOnion
Best Buy sold 638 iPads during the month of May for a total, including tax, of $296,963.48; what was the average cost to the consumer?
What is the area of the composite figure whose vertices have the following coordinates? (2, −2 )(2, 1) ,(4, 2) , (6, 2) ,(4, −1)
How can you tell if a binomial divides evenly into a polynomial?
Answer:
The remainder is 0
Step-by-step explanation:
A number divides evenly with another number if and only if the remainder is 0. This applies to all numbers and equations including binomials and polynomials. Anytime there is a remainder in a division it means that the denominator does not fit evenly anymore into the numerator.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Gas costs $1.64 a gallon. Elaine spent $23.78 at the gas station.How many gallons of gas did she but?
Answer:
23.78
Step-by-step explanation:
Please help me with this question
How can the effect of an outlier be overcome in an experiment that examines a random sample of a population? A) Discard 50% of the data. B) Examine a larger random sample of the population. C) Examine a smaller random sample of the population. D) There is no way to overcome the effect of an outlier.
Answer with explanation:
Outlier, in a data set are those real numbers called variates , if we consider two consecutive real numbers in that data set, when data is arranged in ascending or descending order the difference looks filthy,or ambiguous.
For, example , 13,45, 23.45, 35.45, 49.45,55.45, 80.45.
So, we can say that ,applying the above definition , 80.45 is an outlier.
Outliers affect the mean and Standard deviation.
→If you discard 50 % of the data , to get the better result in an experiment,the data set will become smaller and getting accurate result will be a task similar to catch a ruffian who is riding in a four wheeler and you are running behind him on footsteps.
→Similarly, Examining a smaller random sample of the population will not give accurate result.
Most of the Outliers lie either on right or left of Data set when arranged in ascending or descending order.
To overcome the effect of an outlier,we should consider large sample to get better result, as leaving some variates from right or left will have little effect on the result.
Option B: Examine a larger random sample of the population.
What is the mean of 25, 15, 18, 20, 87, 13, 18, 8, 22, 14
A 9-pound bag of lollipops costs $12.04. What is the unit price, rounded to the nearest cent?
Naomi's fish is 40 millimeters long.her guinea pig is 25 centimeters long. How much longer is her guinea pig than her fish
Answer:
The guinea pig is 210 mm longer than Naomi's fish
or
The guinea pig is 21 cm longer than Naomi's fish
Step-by-step explanation:
Remember that
1 cm=10 mm
Convert cm to mm
guinea pig ------> 25 cm=25*10=250 mm
Subtract the length of Naomi's fish from the length of her guinea pig
so
250-40=210 mm
Convert to cm
210 mm=210/10=21 cm
In a quadrilateral, consecutive angles and opposite angles are congruent. What is the most specific name of the figure?
trapezoid
parallelogram
rectangle
rhombus
Answer:
Rectangle
Step-by-step explanation:
I got it wrong so i know this is the correct one
Jeanne thinks that x+x is the same as x•x. Is this true? Why? Why not?
It depends on the number. Generally, it is false, expect in a few certain cases, such as 2 for example, as:
2 + 2 = 4
2 x 2 = 4
however, most other numbers do not work, such as, for example, 5
5 + 5 = 10
5 x 5 = 25
So it really depends on what "x" is.
hope this helps
What is the volume of a rectangular prism with length 7 cm, height 6 cm, and width 13 cm? V = l x w x h
Find the supplement of an angle of 126 degrees