Answers
The number of coupon codes that can be generated is given as follows:
247,808 coupon codes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
The codes are composed as follows:
Two letters -> each with 22 options, as letters can be repeated.Three digits -> each with 8 options, as digits can also be repeated.Thus the total number of codes is obtained as follows:
N = 22² x 8³
N = 247,808 coupon codes.
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Related Questions
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
Answers
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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A single filer had a taxable income of $90,725. Base on table, what is is the tax?
Answers
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
For her end of the year party Adriana mixed 6 L of Brand A juice with 9 L of Brand B juice. Brand A contains 52% fruit juice and Brand B contains 12% fruit juice. What percent of the mixture is fruit juice?
A. 28%
B. 20%
c. 30%
Answers
A. 28% is the percent of the mixture is fruit juice.
First, we need to find the total amount of fruit juice in the mixture.
For Brand A juice: 6 L x 52% = 3.12 L of fruit juice
For Brand B juice: 9 L x 12% = 1.08 L of fruit juice
Total fruit juice in the mixture: 3.12 L + 1.08 L = 4.2 L
The total amount of the mixture is 6 L + 9 L = 15 L
The percent of the mixture that is fruit juice is:
(4.2 L / 15 L) x 100% = 28%
Therefore, the answer is A. 28%.
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#7 What is the area of a rectangle with a length of 5 inches and a width of 2 inches? 9 #8 of
Answers
The area of the rectangle is 10 in².
We have,
Given,
Length = 5 inches
Width = 2 inches
Now,
Area of a rectangle.
= length x width
= 5 x 2
= 10 in²
Thus,
The area of the rectangle is 10 in².
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100pts!! A flower garden is composed of 1/2 tulips and 3/10 of the tulips are pick.
How many pink tulips are in the garden? Type your answer like this: 1/2
Answers
There are 3/20 pink tulips in the garden
How to determine how many pink tulips are in the gardenBy determining the percentage of the garden that is made up of pink tulips.
If 3/10 of the tulips are pink and tulips account for half of the garden, the percentage of the garden that is pink tulips is:
(3/10) x (1/2) = 3/20
So, 3/20 of the garden is pink tulips.
Hence, the answer is 3/20.
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x/9=7/15 answer plss
Answers
Answer: To solve for x in the equation x/9 = 7/15, we can cross-multiply to get:
15x = 9 * 7
Simplifying the right side, we get:
15x = 63
To solve for x, we can divide both sides by 15:
x = 63/15
Simplifying the fraction on the right side, we get:
x = 4 3/5 or x = 4.2 (rounded to one decimal place)
Therefore, the solution to the equation x/9 = 7/15 is x = 4.2 or x = 4 3/5.
Step-by-step explanation: kinda easy ngl lol but hope this helps :D
Please answer the question
Answers
A rectangular prisms has a length of 2 1/2 centimeters a width of 2 1/2 centimeters and a height of 5 centimeters Justin has a storage container for the prism that has a volume of 35 cubic centimeters
Answers
It could be feasible to accommodate the prism diagonally or by orienting it in a certain way, depending on the geometry of the container.
Given that:
Length, L = 2 and 1/2 = 2.5 cm
Width, W = 2 and 1/2 = 2.5 cm
Height, H = 5 cm
The volume of the rectangular prism is calculated as,
Volume = 2.5 x 2.5 x 5
Volume = 31.25 cubic centimeters
Therefore, the volume of the rectangular prism is 31.25 cubic centimeters.
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A rectangular pyramid is shown in the figure 5cm 6 cm 4 cm 5.5cm what is the surface area of the pyramid
Answers
The total surface area of the square pyramid is 99 cm²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
To get the surface area:
Area of base = 10 cm * 2 cm = 20 cm²
Area of first triangle lateral face = (1/2) * 2 cm * 8 cm = 8 cm²
Area of second triangle lateral face = (1/2) * 10 cm * 6.3 cm = 31.5 cm²
Total surface area = 20 cm² + 2(8 cm²) + 2(31.5 cm²) = 99 cm²
The total surface area is 99 cm²
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The length of pregnancy isn't always the same. In pigs, the length of pregnancies varies according to a Normal distribution with mean 114 days and standard deviation 5 days.
What percent of pig pregnancies are longer than 124 days?
Answers
In pigs, the length of pregnancies varies according to a Normal distribution with mean 114 days and standard deviation 5 days, approximately 2.28% of pig pregnancies are longer than 124 days.
We can start by standardizing the value 124 using the formula:
z = (x - μ) / σ
where x is the value we want to standardize, μ is the mean, and σ is the standard deviation.
So in this case:
z = (124 - 114) / 5 = 2
Using a standard normal distribution table or calculator, we can find that the proportion of values greater than 2 is approximately 0.0228.
Therefore, approximately 2.28% of pig pregnancies are longer than 124 days.
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create a scatterplot for the data in the table. based on the appearance of the scatterplot, which model does the data appear to follow?
a. the data appears to follow a linear model
b. the data appears to follow a quadratic model
c. the data appears to follow a cubic model
d. the data appears to follow an exponential model
Answers
Answer:
C. The data appear to follow a cubic model.
Step-by-step explanation:
Plot the points on the graphing calculator, and then generate the best regression model.
For the linear equation, r = -.0529
For the quadratic equation, R^2 = .8992
For the cubic equation, R^2 = .9678
For the exponential equation, r = -.0814
A cubic regression equation would best fit this data. So the correct answer is C.
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
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In the triple-jump competition, Lee jumped 28 ft, 32 ft, 29 ft, 30 ft, and
33 ft.
a. Find the mean, median, mode, and range of Lee's marks.
Answers
Answer:
• Mean = 30.4
• Median = 30
• Mode = None
• Range = 5
Step-by-step explanation:
To find the mean, we add all the numbers together and divide by the total number of numbers. In this case, we have 5 numbers: 28, 32, 29, 30, and 33. Adding them together gives us 152. Dividing by 5 gives us a mean of 30.4.
To find the median, we need to order the numbers from smallest to largest: 28, 29, 30, 32, and 33. The median is the middle number which is 30.
To find the mode, we look for the number that appears most frequently in the list. In this case, there is no number that appears more than once so there is no mode.
To find the range, we subtract the smallest number from the largest number. In this case, the smallest number is 28 and the largest number is 33 so the range is 5.
Therefore:
• Mean = 30.4
• Median = 30
• Mode = None
• Range = 5
I hope that helps!
Three balls toll at an intervals of
10 minutes, 15 minutes and 20 minutes.
If they toll together all 11:00am.
When next do they toll again?
Answers
Next all three balls toll after 60 minutes, that is 12:00 PM.
Given that, Three balls toll at an intervals of 10 minutes, 15 minutes and 20 minutes.
They toll together all 11:00 am.
Take LCM of three different intervals. That is,
10= 2×5
15=3×5
20=2×2×5
So, the LCM is 2×2×3×5= 60
Means all three balls toll after 60 minutes, which is 12:00 PM.
Therefore, next all three balls toll after 60 minutes, that is 12:00 PM.
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The ratio of the corresponding linear measures of two similar cans of fruit is 4 to 7. The smaller can has a surface area of 220 square centimeters. Find the surface area of the larger can. Write your answer as a decimal or mixed number.
The surface area is
square centimeters.
Answers
The surface area of the larger can is approximately 674.375 square centimeters.
We have,
The ratio of the corresponding linear measures of two similar cans is 4 to 7.
The ratio of their surface areas will be the square of this ratio, which is (4/7)² = 16/49.
Let A be the surface area of the larger can.
(220 cm²) / A = 16/49
220 cm² x 49 = A x 16
10780 cm² = A x 16
A = 10780 cm² / 16
A = 674.375 cm²
Therefore,
The surface area of the larger can is approximately 674.375 square centimeters.
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onsider the incomplete paragraph proof. Given: P is a point on the perpendicular bisector, l, of MN. Prove: PM = PN Line l is a perpendicular bisector of line segment M N. It intersects line segment M N at point Q. Line l also contains point P. Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN. point M point Q segment PM segment QM
Answers
As we have proved that PM = PN and Line l is a perpendicular bisector of line segment M N.
A perpendicular bisector is a line that is perpendicular to another line segment and passes through the midpoint of that line segment. In this context, we will prove that if point P is on the perpendicular bisector of line segment MN, then PM = PN.
To prove this, we need to use the properties of perpendicular bisectors. Let l be the perpendicular bisector of line segment MN, passing through its midpoint O. By definition, the line l intersects MN at right angles, and so angle POM and angle PON are both right angles.
Now, since point P lies on the perpendicular bisector l, it is equidistant from the endpoints of the line segment MN, which means that PM = PO and PN = PO. Therefore, PM = PO = PN, and we have proven that if P lies on the perpendicular bisector of MN, then PM = PN.
In summary, we have used the properties of a perpendicular bisector to show that if a point P lies on the perpendicular bisector of line segment MN, then it is equidistant from the endpoints of that segment.
Hence, PM = PN.
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The universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10).
A = {2, 3, 5, 7}
B = {1, 2, 5, 10}
C = {1, 2, 3, 6}
D = {3, 5, 7)
What is A. n B
What is B n. D^c
What is A^c
What is C. n D
What is B u D ^c
Thank u !!!!!
Answers
A ∩ B is the intersection of sets A and B, which is the set of elements that are in both A and B.
A = {2, 3, 5, 7} and B = {1, 2, 5, 10}, so A ∩ B = {2, 5}.
B ∩ D^c is the intersection of set B and the complement of set D, which is the set of elements in B that are not in D.
B = {1, 2, 5, 10} and D^c = {1, 4, 6, 8, 9, 10}, so B ∩ D^c = {1, 10}.
A^c is the complement of set A, which is the set of elements in U that are not in A.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 3, 5, 7}, so A^c = {1, 4, 6, 8, 9, 10}.
C ∩ D is the intersection of sets C and D, which is the set of elements that are in both C and D.
C = {1, 2, 3, 6} and D = {3, 5, 7}, so C ∩ D = {3}.
B u D^c is the union of set B and the complement of set D, which is the set of elements that are in B or in the complement of D, or both.
B = {1, 2, 5, 10} and D^c = {1, 4, 6, 8, 9, 10}, so B u D^c = {1, 2, 4, 5, 6, 8, 9, 10}.
Thus, this can be the universal set.
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A triangular portion of a baseball field is marked as shown below. To the
nearest tenth, what is the length of the side labeled c?
B
A
36°
A. 2.4 yds
B. 3.6 yds
b
C. 2.8 yds
D. 3.2 yds
3 yds
Triangle not drawn to scale
28°
C
Answers
Answer: 2.4
Step-by-step explanation: obviously not anywhere close to 3 trust
What is the surface area of this triangular pyramid?
5 yd
5 yd
4.3 yd
7 yd
5 yd
square yards
Answers
The surface area of the triangular prism that is shown above is calculated as: 63.25 square yards. .
What is the surface area of a triangular pyramid?The surface area of a triangular pyramid is calculated using the formula below:
SA = A + 3a
where we have:
A = the area of the triangular base of the pyramid
a = the area of one of the pyramid's faces.
Area of one of the pyramid's face (a) = 1/2 * base * height = 1/2 * 5 * 7
a = 17.5 square yards
Area of triangular base (A) = 1/2 * base * height = 1/2 * 5 * 4.3
A = 10.75 square yards
Surface area (SA) = 10.75 + 3(17.5) = 63.25 square yards.
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Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
Answers
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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Terrence has a balance of $4000 on his credit cards with a 20% APR. he has decided that he will not make any other purchases on his card until he pays off the debt. he can pay $300 per month. after five months how much will he have paid in interest so far in how large will the remaining balance be?
Answers
The interest is $293.88 in interest
The remaining balance is approximately $2793.88.
How to solve for the interestMonthly Interest Rate = 0.2 / 12
Monthly Interest Rate ≈ 0.01667 (rounded)
Month 1:
Interest: $4000 * 0.01667 ≈ $66.68 (rounded)
New Balance: $4000 + $66.68 = $4066.68
Payment: $300
Remaining Balance: $4066.68 - $300 = $3766.68
Month 2:
Interest: $3766.68 * 0.01667 ≈ $62.82 (rounded)
New Balance: $3766.68 + $62.82 = $3829.50
Payment: $300
Remaining Balance: $3829.50 - $300 = $3529.50
Month 3:
Interest: $3529.50 * 0.01667 ≈ $58.86 (rounded)
New Balance: $3529.50 + $58.86 = $3588.36
Payment: $300
Remaining Balance: $3588.36 - $300 = $3288.36
Month 4:
Interest: $3288.36 * 0.01667 ≈ $54.80 (rounded)
New Balance: $3288.36 + $54.80 = $3343.16
Payment: $300
Remaining Balance: $3343.16 - $300 = $3043.16
Interest: $3043.16 * 0.01667 ≈ $50.72 (rounded)
New Balance: $3043.16 + $50.72 = $3093.88
Payment: $300
Remaining Balance: $3093.88 - $300 = $2793.88
Total = $66.68 + $62.82 + $58.86 + $54.80 + $50.72
≈ $293.88 in interest
The remaining balance is approximately $2793.88.
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Please help studying for next grade.
93+48÷(12-42)x17
Answers
Answer:
65.8
Step-by-step explanation:
to solve such equations u should use (PEMDAS)
parenthesis, exponents, multiplication, division, addition, subtraction
note that multiplication doesn't become always before division if the division is before in the equation we divide then multiply
same with addition and subtraction we add or subtract depnding on what first
other than that we follow the steps i mentioned before
parenthesis, exponents, multiplication, division, addition, subtraction
so solve the parantheses first
then the exponents (you may have not learned this yet)
then multiplication and division together start with the one that comes first
the addition and subtraction start with the one that comes first
so for example :5×5÷5×5
=25÷5×5
=5×5
=25
i started with the first multiplication cuz it came first then division cuz it was before the other multiplication
and then the other multiplication
now here is the answer for your equation 93+48÷(12-42)x17
using PEMDAS(don't write this it's just for explaining)
parantheses first
93+48÷-30×17
we don't have exponents so just skip it
now division and multiplication
93+(-1.6)×17
finally addition amd subtraction
because we don't have subtraction we won't use it too
93 +(-27.2)
=65.8
ہfind the unknown length in the right triangle.
Pleas
Answers
Applying the Pythagorean theorem, the length of the unknown side in the right triangle is: a ≈ 13.2.
How to Find the Unknown Side by Applying the Pythagorean Theorem?The Pythagorean theorem is expressed as:
c² = a² + b², given that a and b are small legs of the right triangle and c is the longest leg or hypotenuse facing the right angle in the triangle.
Given the following:
c = 16
b = 9
a = ?
Plug in the values:
16² = a² + 9²
a² = 16² - 9²
a = √(16² - 9²)
a ≈ 13.2
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V(d)V, left parenthesis, d, right parenthesis models Erica's vertical distance from the top of the valley (in kilometers) after walking dd kilometers along the trail.
What does the statement
V
(
2
)
=
T
V(2)=TV, left parenthesis, 2, right parenthesis, equals, T mean?
Answers
The correct statement is B. After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometres.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given that the function, V(d) models Erica's vertical distance from the top of the valley (in kilometres) after walking d kilometres along the trail.
Therefore, the statement V(2)=T means that after Erica had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometres.
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The complete question is:
Erica walked down a trail into a valley. V(d) models Erica's vertical distance from the top of the valley (in kilometres) after walking d kilometres along the trail. What does the statement V(2)=T mean?
A-Erica's vertical distance from the top of the valley was the same after she had walked 2km and after she had walked T kilometres.
B- After she had walked 2km along the trail, Erica's vertical distance from the top of the valley was equal to T kilometres.
C- After she had walked T kilometres along the trail, Erica's vertical distance from the top of the valley was equal to 2km.
Sadie and Andres are making fruit salads for a picnic. Sadie mixes 4 cups of melon and 3 cups of apple and Andres mixes 7 cups of melon and 5 cups of apple. Use Sadie and Andres’s proportions of melon to determine whose fruit salad will taste more melony.
Answers
Based on the percentage of melons, Andres' fruit salad will taste more Melony than Sadie's.
What is the percentage?The percentage is the quotient of the numerator and denominator.
Like ratios, percentages show the relative size of a value compared to another.
Percentages are expressed as the quotient multiplied by 100.
Sadie Andres
Cups of melon 4 7
Cups of apple 3 5
Ratios 4:3 7:5
The sum of ratios 7 12
Percentages of melon to apple:
Sadie Andres
57.14% (4/7 x 100) 58.33% (7/12 x 100)
Thus, using the percentage of melon to apple, we can conclude that Andres' fruit salads tastes 58.33% more Melony than Sadie's.
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Constantin has a small sunflower farm. One day, he measures and
records the height of each sunflower on his farm. The information is
given below in centimetres:
301, 285, 20, 351, 35, 205, 311, 25, 45, 310, 301, 305
Find the mean height of sunflowers on Constantin’s farm. Round your
answer to two decimal places
Answers
The mean height of sunflowers on Constantin's farm is 210.33 centimetres, rounded to two decimal places.
To find the mean height of sunflowers on Constantin's farm, we need to sum up all the heights and divide by the total number of sunflowers.
Adding up all the heights, we get:
301 + 285 + 20 + 351 + 35 + 205 + 311 + 25 + 45 + 310 + 301 + 305 = 2524
There are 12 sunflowers in total, so we divide the sum by 12:
2524 / 12 = 210.33
This means that if we were to select a sunflower at random from Constantin's farm, on average, we would expect it to be about 210.33 centimetres tall.
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The radius of the circle below is 19 mm. Calculate the area of the circle. Give your answer in mm² to 1 d.p. area= 19 mm mm² Not drawn accurately
Answers
Substituting the given value of the radius, we have:
A = π(19 mm)²
A = π(361 mm²)
A ≈ 1134.11 mm²
Rounding to 1 decimal place, the area of the circle is approximately 1134.1 mm².
Help!!! I need to fill out this table using logarithm rules and need to do it without a calculator
(The highlighted one is the problem which I need help completing)
Answers
Answer:
In the explanation
Hope this helps!
Step-by-step explanation:
1. 20: 1.3010
2. 25: 1.3979
3. 300: 2.4771
4. 500: 2.690 ( 2.6989700 )
5. 8000: 3.9031
6. 0.7: -0.1549
7. 0.04: -1.3979
( The blank for the question on the bottom is pq, refer to the product property in logarithms :) )
Answer:
Step-by-step explanation:
I explain 1 through 10 that should give you an idea of how this goes.
See image for explan
3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
Answers
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Learn more about hypothesis testing here:
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The diameter of a cylindrical construction pipe is 15 ft . If the pipe is 26 ft long, what is its volume?
Answers
Answer:
390
Step-by-step explanation: