Answer:
Without repetition: 6 numbers
With repetition: 27 numbers
Step-by-step explanation:
Given:
Numbers: 2;3;4 (3 numbers in total)
Without repetition (in the first place you can write all 3 out of 3 numbers, in the 2nd place two, since you cannot repeat the 1st number and so on)
Multiply the choice options:
3 × 2 × 1 = 6 (we don't divide it by the factorial of 3, because the order of forming numbers is important)
.
With repetition (in all three places you can write all 3 given numbers, since you can repeat them)
Multiply the choice options:
3 × 3 × 3 = 27 (the order is important)
y=-2(x-2)(x+2) how to put this into intercept form
The best representation of the given equation which easily identifies the intercept of the equation is; y = -2x² + 8.
Which form of the equation most easily identifies the intercept?It follows from the task content that the given equation is to be written in the form which most easily identifies the intercept.
Since the given equation is; y = -2 (x - 2) (x + 2)
y = -2 (x² - 4)
y = -2x² + 8
Therefore, the intercept in this case is; 8.
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What is the recursive rule for this geometric sequence?
27, 9, 3, 1, ...
ANSWER: an= 1/3
a1= 27
Answer: a1/3=a((sub)1/3-1)x1/3
Step-by-step explanation: The recursive rule for geometric sequence should be a(sub)n =a(sub)n-1 times the ratio. Given the sequence your ratio should be 1/3.
If the volume of a rectangular prism is 26,214 m3 and it has a height of 17 m, what is the value of B, the area of the base?
Thus, the base area of the rectangular prism is found as: 1542 sq. m.
Explain about the rectangular prism:In terms of geometry, the rectangular prism is a solid 3-dimensional object having six faces and a rectangular base. Right and non-right (lateral) rectangular prisms are the two varieties of rectangular prisms that are available.
A somewhat common kind of prism is the rectangular prism. One definition of a rectangular prism is a prism with rectangle-shaped bases. Its other faces are indeed rectangles because the bases are rectangles. These are a rectangular prism's characteristics:
two parallel rectangular basesCongruent ” or “ parallel rectangles on three facestotal of six rectangular facesVolume of rectangular prism = 26,214 cu. m.
Height = 17 m,
Formula:
Volume of rectangular prism = Base area * height
Base area = Volume of rectangular prism / Height
Base area = 26,214 / 17
Base area = 1542 sq. m
Thus, the base area of the rectangular prism is found as: 1542 sq. m.
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Fill in the number that makes the polynomial a perfect square quadratic.
g²-20g+
Therefore, the number that makes the polynomial a perfect square quadratic is 100.[tex]g^{2}[/tex].
What is binomial?I believe you meant to ask about "binomial", which is a statistical term used to describe a type of probability distribution.
In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical Bernoulli trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials.
The binomial distribution is used in many fields, including biology, engineering, and finance, to model the occurrence of events with two possible outcomes, such as the success or failure of a new product launch or the presence or absence of a genetic trait in a population.
To see why, we can use the technique of completing the square.
Starting with g² - 20g, we want to add and subtract a constant term that will allow us to write the expression as a square of a binomial. To do this, we can take half of the coefficient of the linear term (-20g), square it, and add and subtract the result:
[tex]g^2-20g + (-20/2)^2 - (-20/2)^2[/tex]
Simplifying this expression, we get:
[tex](g - 10)^2 - 100[/tex]
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A hexagon will be dilated on a coordinate grid to create a smaller hexagon. The hexagon is dilated using the origin as the center of the dilation.
What rule could represent this dilation?
(x, y) → (1.25x, 1.25y)
(x, y) → (0.75x, 0,75y)
(x, y) → (x - 1.25, y - 1.25)
(x, y) → (x - 0.75, y - 0.75)
The answer is (x, y) → (0.75x, 0.75y). This is because the dilation is using the origin (0, 0) as the center of the dilation.
What is dilation?A type of transformation where a figure is enlarged or reduced, while its shape is preserved. It is also known as scaling, enlargement, or contraction.
In a dilation centered at the origin, the coordinates of the dilated point are multiplied by a scale factor.
The scale factor for this dilation is 0.75, meaning that all x-coordinates and all y-coordinates are multiplied by 0.75. This is represented mathematically as (x, y) → (0.75x, 0.75y).
The other equations are not correct because they do not represent a dilation centered at the origin.
The first equation, (x, y) → (1.25x, 1.25y), is a dilation with a scale factor of 1.25, meaning that the coordinates are multiplied by 1.25. This would cause the hexagon to become larger, not smaller.
The second equation, (x, y) → (x - 1.25, y - 1.25), is a translation, not a dilation. This equation would move the coordinates 1.25 units to the left and 1.25 units down, but would not change the size.
The third equation, (x, y) → (x - 0.75, y - 0.75), is also a translation, not a dilation. This equation would move the coordinates 0.75 units to the left and 0.75 units down, but would not change the size.
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F(x) = ׳+3
Help meee
Answer:
4
Step-by-step explanation:
Im smart and goatified
Answer:4x^2–3>0
Step-by-step explanation:
Give the domain and range of -6= 3x+2y
The domain and the range of the equation is also all real numbers, or (-∞, +∞).
Calculating the domain and rangeTo find the domain and range of -6 = 3x + 2y, we need to consider the possible values of x and y that make the equation true.
We can rearrange the equation to isolate y:
2y = -3x - 6
y = (-3/2)x - 3
From this equation, we can see that the value of y depends on the value of x, since y is expressed in terms of x.
Domain:
The domain of a function is the set of all possible input values for the independent variable. In this case, since x can take on any real number, the domain of the equation is all real numbers, or (-∞, +∞).
Range:
The range of a function is the set of all possible output values for the dependent variable. In this case, the equation tells us that y is equal to (-3/2)x - 3. As x varies over all real numbers, the value of (-3/2)x - 3 will also vary over all real numbers. Therefore, the range of the equation is also all real numbers, or (-∞, +∞).
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A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 6 feet by 3.4 feet by 5 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.77 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: The total surface area of the bench is 134.8 square feet. Part B: It will cost $103.90 to cover the bench in ceramic tiles.
What is surface area?Surface area is a measurement of the overall space occupied by an object's surface. It is the total area of a three-dimensional object faces or surfaces. Square units like square inches, square feet, or square metres are commonly used to express surface area.
Calculating the surface area of a cube, for instance, requires multiplying the area of one face (length x width) by the number of faces (6 in the case of a cube).
For the given dimensions of the rectangular prism we have:
Part A: The surface area is:
Front and back faces: 6 ft x 5 ft = 30 sq ft x 2 = 60 sq ft
Top and bottom faces: 6 ft x 3.4 ft = 20.4 sq ft x 2 = 40.8 sq ft
Side faces: 5 ft x 3.4 ft = 17 sq ft x 2 = 34 sq ft
Total surface area = 60 + 40.8 + 34 = 134.8 sq ft
Therefore, the total surface area of the bench is 134.8 square feet.
Part B:
The cost of covering in tiles is:
Cost of tiles = Total surface area x Cost per square foot
Cost of tiles = 134.8 sq ft x $0.77/sq ft
Cost of tiles = $103.90
Therefore, it will cost $103.90 to cover the bench in ceramic tiles.
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Simplify your answer as much as possible.
By using the substitution method, we will see that the value of y is 23.
How to solve the system of equations?Here we have a system of linear equations, the system is:
y - x = 11
x = 12
The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:
y - 12 = 11
Now we can solve this for y, we will get:
y = 11 + 12
y = 23
That is the value of y.
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Trapezoid PQRS is formed when right triangle TPQ is cut by line SR such that
SR || PQ. Find the volume of the solid generated when the trapezoid is rotated
about side SP. Round your answer to the nearest tenth if necessary.
Check the picture below.
so if we rotate the triangle TPQ abou the side PT we'll end up with a cone with a radius of 15 and a height of 10 as you see there, now, using the triangle STR about the side ST we'd end up with a smaller cone of radius 9 and height of 6.
So let's get the volume of each cone and subtract the volume of the smaller cone from that of the larger cone, and what's leftover is, you guessed it, the volume of the trapezoid, the part that wasn't subtracted.
[tex]\stackrel{ \textit{\LARGE larger} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=15\\ h=10 \end{cases}\implies V=\cfrac{\pi (15)^2(10)}{3} \\\\\\ \stackrel{ \textit{\LARGE smaller} }{\textit{volume of a cone}}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=9\\ h=6 \end{cases}\implies V=\cfrac{\pi (9)^2(6)}{3} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{\pi (15)^2(10)}{3}~~ - ~~\cfrac{\pi (9)^2(6)}{3}\implies 750\pi -162\pi \implies 588\pi\implies \text{\LARGE 1847.3}~units^3[/tex]
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
What is the sample space for one spin of this spinner?
OA. (RG, GP, PY, YR)
OB. (R, G, P, Y)
O C. (R, G, B, Y)
OD. (R, G, P, B, Y)
The sample space is (R, G, P, Y).(OB)
What is sample space?
A sample space is a collection of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”. A sample space may contain a finite number of outcomes which depends on the experiment.
You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1
yellow (Y).
So here is 4 sections
Red(R), Green (G), Purple (P), Yellow(Y)
So there are 4 sections in sample space
The sample space for one spin of the spinner is (R, G, P, Y).
Hence, the sample space is (R, G, P, Y).
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Consider the following table:
Source SS DF MS Test Statistic
Regression 3538.71
Error ?
11
537.08
Total 18
Step 1 of 9: Calculate the Sum of Squared Error. Round your answer to two decimal places, if necessary.
To calculate SS E(Sum of Squared Error ) we use the formula of
SSE Total SS - Regression, SS but this answer does not make sense
because the SSE cannot be negative.
What is the Sum of Squared Error?In statistics, the discrepancy between the observed and anticipated
values is known as the sum of squares error (SSE). Since it is the sum
of the squares of the residual or the difference between predicted
values and actual values, it is also known as the sum of squares
residual (SSR).
To calculate the Sum of Squared Error (SSE), we can use the formula:
SSE = Total SS - Regression SS
We are given the value of Regression SS as 3538.71 and the value of Total SS as 18. Therefore, we can calculate the value of SSE as:
SSE = Total SS - Regression SS
SSE [tex]= 18 - 3538.71[/tex]
SSE = [tex]-3520.71[/tex]
However, this answer does not make sense because the SSE cannot
be negative. This suggests that there may be an error in the given
information. Specifically, the value of Total SS should be greater than
or equal to the value of Regression SS. Without additional information
, we cannot provide a correct answer for this question.
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PLEASE HELP!! ITS DUE SOON
Loretta simplified the expression below as shown. Explain Loretta’s error and correct her works
(16m^2n^20)^1/2=8mn^10
Step-by-step explanation:
Loretta's error is that she only took the square root of the coefficient 16, but forgot to take the square root of the variables m and n.
The correct solution is:
The square root of 16 is 4.
The square root of m^2 is m.
The square root of n^20 is n^10.
Putting it all together, we get:
√(16m^2n^20) = √16 * √(m^2) * √(n^20) = 4mn^10
Therefore, the correct answer is 4mn^10, not 8mn^10.
27
Mark graphed points on the coordinate plane below to represent the locations of his
school and a bank.
7
654
6
3
2
1
School
Bank
01234567
Mark wants to add the location of the library on the coordinate plane. The distance from
the library to the school is the same as the distance from the bank to the school. Which
ordered pair could be the coordinates of the library?
Answer:
Step-by-step explanation:
To find the possible coordinates of the library, we need to determine the line of points that are equidistant from the school and the bank, since the distance from the library to the school is the same as the distance from the bank to the school. This line will be the perpendicular bisector of the segment connecting the school and the bank.
First, we can find the midpoint of the segment connecting the school and the bank:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2) = ((5 + 1)/2, (4 + 3)/2) = (3, 3.5)
Next, we can find the slope of the segment connecting the school and the bank:
Slope = (y2 - y1)/(x2 - x1) = (3 - 4)/(1 - 5) = -1/4
The slope of the perpendicular bisector will be the negative reciprocal of the slope of the segment connecting the school and the bank:
Slope of perpendicular bisector = -1/(-1/4) = 4
Now we have the midpoint and the slope of the perpendicular bisector, so we can use the point-slope form of the equation of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - 3.5 = 4(x - 3)
y - 3.5 = 4x - 12
y = 4x - 8.5
Therefore, the possible coordinates of the library must lie on the line y = 4x - 8.5. We can check each of the answer choices to see which one lies on this line:
(1, 0): y = 4x - 8.5 = 4(1) - 8.5 = -4.5 (does not lie on the line)
(2, 2): y = 4x - 8.5 = 4(2) - 8.5 = -0.5 (does not lie on the line)
(4, 4): y = 4x - 8.5 = 4(4) - 8.5 = 7.5 (does not lie on the line)
(5, 5): y = 4x - 8.5 = 4(5) - 8.5 = 11.5 (does not lie on the line)
(6, 6): y = 4x - 8.5 = 4(6) - 8.5 = 15.5 (does not lie on the line)
(7, 7): y = 4x - 8.5 = 4(7) - 8.5 = 19.5 (does not lie on the line)
of the remainder Ronald had some stickers. He gave 10 stickers to Haziq and gave 4 of the number of stickers he had at first. How many stickers to Bryan. He then had ½ Ronald have at first?
Let R be the total number of stickers Ronald had at first, and let B be the number of stickers he gave to Bryan.
According to the problem, he gave 10 stickers to Haziq, so he has R - 10 stickers left.
He gave 4 stickers of the number he had at first to someone (which is not mentioned in the problem). Therefore, he gave 4 stickers from R, so he has R - 4 stickers left.
We know that the number of stickers he gave to Haziq plus the number of stickers he gave to Bryan is equal to the total number of stickers he gave away. Therefore, we can write:
10 + B = R - 4
Solving for B, we get:
B = R - 14
Also, we know that he has half of the stickers he had at first after giving some away. Therefore:
(R - 10 - B) = 1/2 * R
Substituting B = R - 14 in the above equation, we get:
(R - 10 - R + 14) = 1/2 * R
4 = 1/2 * R
R = 8
So Ronald had 8 stickers at first.
Substituting R = 8 in the above equations, we get:
B = R - 14 = -6
This means that Ronald didn't give any stickers to Bryan, and he has negative stickers left. Therefore, the problem seems to have an error. Please check if the problem is correct or if there is any missing information.
The cost of building a storage house is $70 per square foot flooring. What will it cost to build a floor in a storage house 12 feet wide and 10 feet long and 8 feet high?
Therefore, it will cost $8400 to build a floor in the storage house with dimensions 12 feet wide, 10 feet long, and 8 feet high.
What are square feet?Square feet (often abbreviated as sq ft or ft²) is a unit of area commonly used in the United States and other countries that measures the area of a two-dimensional space. One square foot is equal to the area of a square with sides that are each one foot long. For example, a room that measures 10 feet by 12 feet has an area of 120 square feet (10 x 12 = 120). Square feet are commonly used to measure the size of houses, apartments, and commercial spaces, as well as outdoor areas such as yards or gardens.
To calculate the cost of building a floor in the storage house, we need to first determine the area of the floor.
The area of the floor is simply the product of the length and width of the storage house. Therefore:
[tex]Area of floor = Length * Width = 12 ft *10 ft = 120 sq ft[/tex]
To calculate the cost of building the floor, we can multiply the area of the floor by the cost per square foot:
Cost of building floor = Area of floor × Cost per square foot
[tex]Cost of building floor = 120 sq ft * $70/sq ft = $8400[/tex]
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For the past several years, Steffy Lopez has operated a part-time consulting business from his home. As of July 1, 20Y2, Steffy decided to move to rented quarters and to operate the business, which was to be known as Diamond Consulting, on a full-time basis. Diamond entered into the following transactions during July:
Jul. 1 The following assets were received from Steffy Lopez in exchange for common stock: cash, $12,500; accounts receivable, $20,800; supplies, $3,100; and office equipment, $7,500. There were no liabilities received.
1 Paid two months’ rent on a lease rental contract, $4,800.
2 Paid the premiums on property and casualty insurance policies, $4,620.
4 Received cash from clients as an advance payment for services to be provided, and recorded it as unearned fees, $5,000.
5 Purchased additional office equipment on account from Office Station Co., $6,500.
6 Received cash from clients on account, $15,100.
10 Paid cash for a newspaper advertisement, $500.
12 Paid Office Station Co. for part of the debt incurred on July 5, $5,200.
12 Recorded services provided on account for the period July 1–12, $13,300.
14 Paid receptionist for two weeks’ salary, $1,700.
Record the following transactions on Page 2 of the journal:
Jul. 17 Recorded cash from cash clients for fees earned during the period July 1–17, $9,450.
18 Paid cash for supplies, $600.
20 Recorded services provided on account for the period July 13–20, $6,650.
24 Recorded cash from cash clients for fees earned for the period July 17–24, $5,000.
26 Received cash from clients on account, $12,000.
27 Paid receptionist for two weeks’ salary, $1,700.
29 Paid telephone bill for July, $300.
31 Paid electricity bill for July, $675.
31 Recorded cash from cash clients for fees earned for the period July 25–31, $5,400.
31 Recorded services provided on account for the remainder of July, $3,000.
31 Paid dividends, $12,500.
Required:
1. Journalize each transaction in a two-column journal starting on Page 1. (Do not insert the account numbers in the journal at this time.)
2. Post the journal to a ledger of four-column accounts. Add the appropriate posting reference to the journal.
3. Prepare an unadjusted trial balance.
4. At the end of July, the following adjustment data were assembled. Analyze and use these data to complete requirements (5) and (6).
(a) Insurance expired during July is $385.
(b) Supplies on hand on July 31 are $1,550.
(c) Depreciation of office equipment for July is $750.
(d) Accrued receptionist salary on July 31 is $170.
(e) Rent expired during July is $2,400.
(f) Unearned fees on July 31 are $2,500.
5. (Optional) On your own paper or spreadsheet, enter the unadjusted trial balance on an end-of-period work sheet and complete the work sheet.
6.
A. Journalize the adjusting entries on page 3 of the journal. Adjusting entries are recorded on July 31.
B. Post the adjusting entries, inserting balances in the accounts affected.
7. Prepare an adjusted trial balance.
8.
A. Prepare an income statement for the month ended July 31, 20Y2.
B. Prepare a statement of stockholders’ equity for the month ended July 31, 20Y2.
C. Prepare a balance sheet as of July 31, 20Y2.
9.
A. Journalize the closing entries on page 4 of the journal.
B. Post the closing entries, inserting balances in the accounts affected.
10. Prepare a post-closing trial balance.
Solve the problem. The surface area of a square pyramid is 116 in.2 and the total area of the pyramid’s four triangular faces is 80 in.2 What is the length of one of the sides?
The length of one of the sides of the square base is 6 inches.
Length calculation.
Let's denote the length of one of the sides of the square base by "s" and the height of the pyramid by "h". Then, the surface area of the pyramid can be expressed as:
Surface area = area of square base + sum of areas of four triangular faces
Surface area = s^2 + 4(1/2)(s)(h)
We know that the surface area is 116 in^2 and the sum of the areas of the four triangular faces is 80 in^2. So we can substitute these values into the equation:
116 = s^2 + 4(1/2)(s)(h)
80 = 4(1/2)(s)(h)
We can simplify the second equation to get:
20 = (1/2)(s)(h)
We can solve for h by substituting the value of (1/2)(s)(h) from the second equation into the first equation:
116 = s^2 + 4(20)
116 = s^2 + 80
s^2 = 36
s = 6
Therefore, the length of one of the sides of the square base is 6 inches.
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You work as a sales representative. You earn $400 per week plus 5% of your total sales per week. Last week you earn a total sales of $5000. Find your total earnings.
well, is simply $400 plus 5% of $5000
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5\% of 5000}}{\left( \cfrac{5}{100} \right)5000}\implies 250\hspace{5em}\underset{ \textit{total earnings} }{\stackrel{400~~ + ~~250 }{\text{\LARGE 650}}}[/tex]
Answer:
$650
Step-by-step explanation:
5% of 5000 is 250. 250 + 400 = 650.
You would have earned $650 last week.
Complete each sentence. Step by step.
The completed sentence is "The path in step 4 is perpendicular to the path in step 5, and the path in step 3 is parallel to the path in step 6."
How to solveStep 1: Start at the big tree in the backyard.
Step 2: Walk 9 paces south - This means walking straight down or vertically down on a grid.
Step 3: Walk 6 paces northeast - This is a diagonal path at a 45-degree angle between east and north directions.
Step 4: Walk 10 paces north - This means walking straight up or vertically up on a grid.
Step 5: Walk 4 paces west - This means walking straight to the left or horizontally left on a grid.
Step 6: Walk 3 paces southwest - This is a diagonal path at a 45-degree angle between the south and west directions.
Step 7: Look under the rock for your next clue.
The path in step 4 is perpendicular to the path in step 5 because the north direction is vertically up, and the west direction is horizontally left. These directions form a 90-degree angle or are perpendicular to each other.
The path in step 3 is parallel to the path in step 6 because both are diagonal paths at 45-degree angles. Step 3 goes northeast, while step 6 goes southwest. These paths are parallel because they both have the same angle, even though they move in opposite directions.
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If P(A)=2/3 P(B) = 4/5 and P(A u B)= 11/15 what is P(A n B)?
a. 8/15
b. 11/15
c. 13/15
d. 14/15
Answer:
(b) 11/15
Step-by-step explanation:
We can use the formula:
P(A U B) = P(A) + P(B) - P(A n B)
where P(A n B) is the probability of the intersection of events A and B.
We are given:
P(A) = 2/3
P(B) = 4/5
P(A U B) = 11/15
Substituting these values into the formula, we get:
11/15 = 2/3 + 4/5 - P(A n B)
To solve for P(A n B), we can simplify the right-hand side:
11/15 = 10/15 + 12/15 - P(A n B)
11/15 = 22/15 - P(A n B)
P(A n B) = 22/15 - 11/15
P(A n B) = 11/15
Therefore, the answer is (b) 11/15.
A car is driving at 65 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
(36.111 meters)
Step-by-step explanation:
Find P(18 ≤ x ≤ 23). (Round your answer to four decimal places.)
If we are given the values of and, we may use a conventional normal probability distribution table or statistical software to calculate [(23 - ) / ] - [(18 - ) / ] and round the answer to four decimal places.
What is probability?Probability theory is a branch of mathematics that determines the likelihood that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how likely an event is to occur. Probabilities can also be expressed as percentages ranging from 0% to 100% or as numbers ranging from 0 to 1.
To calculate P(18 x 23), we must first know the probability distribution of the variable x. It is difficult to calculate the exact value of the probability without this information.
We may normalize the variable x by doing the following:
z = (x - μ) / σ
And there's:
P(18 ≤ x ≤ 23) = P[(18 - μ) / σ ≤ z ≤ (23 - μ) / σ]
= Φ[(23 - μ) / σ] - Φ[(18 - μ) / σ]
To calculate P(18 x 23), we must first know the values of and. We cannot calculate the precise value of the probability until these numbers are provided.
If we are given the values of and, we may use a conventional normal distribution table or statistical software to calculate [(23 - ) / ] - [(18 - ) / ] and round the answer to four decimal places.
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Using a loyalty card at a local store, Ella gets a free soda after buying 5 sodas at the regular price of $0.89. Same-sized sodas at the local fast food restaurant are $0.79 each. Which is the better deal if Ella wants 6 sodas and by how much?
It is a better deal for Ella to use the loyalty card, since that way she will end up saving $0.29 for she would not have to pay for the sixth soda.
Why use the loyalty card?Using the loyalty card at the local store, Ella would get one soda for free after buying 5 sodas at the regular price of $0.89 each, which means she would pay for 5 sodas and get one free. So the total cost would be:
5 x $0.89 = $4.45
At the local fast food restaurant, the cost of each soda is $0.79, so for 6 sodas, the cost would be:
6 x $0.79 = $4.74.
Therefore, using the loyalty card at the local store is the better deal as Ella would save $0.29 compared to buying the sodas at the local fast food restaurant.
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Center: (-3, 4) Radius: √5
Answer:
The center of the circle is given as (-3, 4) and the radius is given as the square root of 5 (√5).
The standard form equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center of the circle and r is the radius.
Substituting the given values, we get:
(x - (-3))^2 + (y - 4)^2 = (√5)^2
Simplifying and squaring the radius, we get:
(x + 3)^2 + (y - 4)^2 = 5
Therefore, the equation of the circle is (x + 3)^2 + (y - 4)^2 = 5.
since there isn't much to it this is the best I can do, sorry if this wasn't what you are looking for
10) The population of a particular country was 29 million in 1980; in 1985, it was 38 million. The exponential
growth function A = 29e^kt describes the population of this country t years after 1980. Use the fact that 5
after 1980 the population increased by 9 million to find k to three decimal places.
years
Answer: To three decimal places, k ≈ 0.052.
Step-by-step explanation: We are given the exponential growth function A = 29e^kt, where A is the population in millions t years after 1980.
In 1980, the population was 29 million, so A = 29 when t = 0. Substituting these values into the equation, we get:
29 = 29e^k(0)
29 = 29e^0
29 = 29
This confirms that the equation is true for t = 0.
In 1985, the population was 38 million, so A = 38 when t = 5. Substituting these values into the equation, we get:
38 = 29e^k(5)
Dividing both sides by 29, we get:
38/29 = e^5k
Taking the natural logarithm of both sides, we get:
ln(38/29) = 5k
Solving for k, we get:
k = ln(38/29) / 5 ≈ 0.052
Therefore, to three decimal places, k ≈ 0.052.
Jessica's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Jessica $5.55 per pound, and type B coffee costs $4.10 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $302.50 . How many pounds of type A coffee were used?
Jessica used 22 pounds of type-A coffee in the blend rather than the
type-B coffee.
What is a blend?A blend is a mixture of two or more different things, typically substances or products. For example, a coffee blend is a mixture of two or more types of coffee beans that are combined to create a specific flavor profile. In the context of the problem given earlier, the blend refers to a mixture of two types of coffee that Jessica's Coffee Shop creates by combining specific amounts of each type.
According to the given informationLet's use variables to represent the unknown quantities in the problem:
Let x be the number of pounds of type A coffee used.
Then, the number of pounds of type B coffee used is 2x (since twice as many pounds of type B coffee were used).
The total cost of the blend is $302.50. We can use this information to set up an equation:
5.55x + 4.10(2x) = 302.50
Simplifying and solving for x:
5.55x + 8.20x = 302.50
13.75x = 302.50
x = 22
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Secant RM intersects secant RN at point R. Find the length of RP. Round the answer to the hundredths place. A. 4.72 B. 8 C. 10 D. 12
Answer: C:10 Hope it helped! Bye bye :>
Step-by-step explanation:
.
A popular streaming service surveyed all of the students at a school about the number of TV shows they streamed
last Friday night, then recorded the results.
Let M = the number of TV shows streamed last Friday night.
Number of Shows Streamed
0
1
2
3
Probability
0.095 0.203 0.326 0.187
Calculate the median of M. Use the histogram to corroborate your choice of the distribution's shape.
Since the shape of the distribution for number of TV shows streamed is
we expect the median
to be
the mean number of TV-shows streamed. This is confirmed when we calculate the
median to be compared to the mean of 2.187 TV shows streamed. The shape of the histogram supports the
relationship of the mean and the median because the mean is
4
0.174
5
0.015
Answer:
Step-by-step explanation:
To find the median, we need to find the middle value when the data is arranged in increasing order. We can use the cumulative probability to do this:
Number of Shows Streamed Probability Cumulative Probability
0 0.095 0.095
1 0.203 0.298
2 0.326 0.624
3 0.187 0.811
Since the cumulative probability for 2 is the smallest value greater than 0.5, the median is 2. Therefore, the median number of TV shows streamed is 2.
The histogram appears to have a roughly symmetric shape, which supports the assumption that the distribution is approximately normal.
i need the answer for this question i don’t understand it
Answer:
Step-by-step explanation:
Plot your points. When you have them write all the ranges as the last numbers in the points and the domain as the first numbers. For example(THIS IS NOT THE ACTUAL ANSWER): pretend there is a point that is (8, 6). The domain will be the first one 8. The range will be the last one 6.