A poll used a sample of 100 randomly selected car owners. Within the sample, the mean time of ownership for a single car was 7.02 years. The time of ownership has a population standard deviation of 3.52 years. Test the claim
by the owner of a large dealership that the mean time of ownership for all cars is less than 7.5 years. Use a 0.05 significance level.
A H_o: μ≠7.5 years H_a: μ=7.5 years
B H_o: μ=7.5 years H_a: μ≠7.5 years
C H_o: μ=7.5 years H_a: μ≠7.5 years
D H_o: μ≠7.5 years H_a: μ≠7.5 years
Calculate the test statistic,
Test Statistic = ______ (Round to wo decimal places as needed)
Find the P-value
The P-value is ______(Round to four decimal places as needed)
State the conclusion
A The Pais less than or equal to the significance level. There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 7.5 years
B. The P-value is more than the significance level. There is not sufficient evidence to support the claim that the meantime of ownership for cars is less than 7.5 years
C. The value is more than the significance level. There is sufficient evidence to support the claim that the meantime of ownership for all cases than 7.5 years
D. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the mean time of ownership for all cars is less than 7.5 years.
Answers
a) Note that where the above is given, the correct answer is - H_o: μ = 7.5 years, H_a: μ ≠ 7.5 years (Option B)
b) the conclusion is the p- value is more than the significance level.There is not sufficient evidence to support the claim that the mean time of ownership for all cars is less than 7.5 years. (Option B)
Why is this so ?To calculate the test statistic, you would use the formula: test statistic= (sample mean - hypothesized mean) / (population standard deviation / √(sample size))
To find the p-value, you would compare the test statistic to the critical values from the t-distribution table or use software to calculate theexact p-value.
based on the above,
The p-value is more than the significance level. There is not sufficient evidence to support the claim that the mean time of ownership forall cars is less than 7.5 years. (Option B)
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Related Questions
sss,sas,asa,aas practice worksheet
Answers
Answer:
aas
Step-by-step explanation:
I've done the worksheet I'm pretty sure its right.
Triangle UVW is dilated with a scale factor of 1/3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U'V'W?
Answers
A dilation with a scale factor of k=1/3 with the center of dilation at the origin will perform the following transformation in any point (x,y):
\((x,y)\longrightarrow(\frac{x}{3},\frac{y}{3})\)We have a triangle with vertices U, V and W.
We apply the transformation to these points and get:
\(\begin{gathered} U=(0,3)\longrightarrow U^{\prime}=(\frac{0}{3},\frac{3}{3})=(0,1) \\ V=(6,6)\longrightarrow V^{\prime}=(\frac{6}{3},\frac{6}{3})=(2,2) \\ W=(6,0)\longrightarrow W^{\prime}=(\frac{6}{3},\frac{0}{3})=(2,0) \end{gathered}\)Answer: U'=(0,1), V'=(2,2), W'=(2,0)
The right option is Option D.
You are starting a savings account for college. You put $1,000 in as your starting balance. You earn simple interest at 10% every year. You also must pay 30% income tax on the interest earned annually. Calculate the balance for the account after 5 years
Answers
Answer:
$1,350
Step-by-step explanation:
Simple interest formula
I = Prt
where:
I = interestP = principalr = interest rate (in decimal form)t = time (in years)Given:
P = $1,000r = 10% = 0.1t = 5 years⇒ Total interest earned = 1000 × 0.1 × 5 = $500
If you have to pay 30% income tax on the interest earned annually, then you will keep 70% of your earned interest.
⇒ 70% of $500 = 0.7 × $500 = $350
Account balance = principal + interest earned after tax
= $1,000 + $350
= $1,350
PLEASE HURRY Which equation could generate the curve in the graph below? On a coordinate plane, a parabola is in quadrant 2 and opens up. The vertex is on the x-axis. y = 9x2 + 6x + 4 y = 6x2 – 12x – 6 y = 3x2 + 7x + 5 y = 2x2 + 8x + 8
Answers
Answer:
is D
Step-by-step explanation:
The equation that could represent the graph of the parabola is (d) \(y = 2x^2 + 8x + 8\)
From the question, we have the following highlights
The parabola opens upThe vertex is on the x-axisThe highlights above mean that: the y-coordinate (k) of the vertex is positive.
For a parabola: \(y = ax^2 + bx + c\), the vertex is:
\((h,k) = (-\frac{b}{2a},f(h))\)
Next, we test the options
(a) y = 9x2 + 6x + 4
We have:
\(h = -\frac{6}{2 \times 9}\)
\(h = -\frac{1}{3}\)
Substitute -1/3 for x in the function
\(y = 9x^2 + 6x + 4\)
\(k = 9(1/3)^2 + 6(1/3) + 4\)
\(k = 7\)
The value of k is not zero.
So, this cannot represent the parabola
(b) y = 6x2 – 12x – 6
We have:
\(h = -\frac{-12}{2\times 6}\)
\(h = 1\)
Substitute 1 for x in the function
\(y = 6x^2 - 12x - 6\)
\(k = 6(1)^2 - 12(1) - 6\)
\(k = -12\)
The value of k is not zero.
So, this cannot represent the parabola
(c) y = 3x2 + 7x + 5
We have:
\(h = -\frac{7}{2\times 3}\)
\(h = -\frac{7}{6}\)
Substitute -7/6 for x in the function
\(y = 3x^2 + 7x + 5\)
\(k = 3(-7/6)^2 + 7(-7/6) + 5\)
\(k = 0.92\)
The value of k is not zero.
So, this cannot represent the parabola
(b) y = 2x2 + 8x + 8
We have:
\(h = -\frac{8}{2\times 2}\)
\(h = -2\)
Substitute -2 for x in the function
\(y = 2x^2 + 8x + 8\)
\(k = 2(-2)^2 + 8(-2) + 8\)
\(k = 0\)
The y-coordinate (k) is zero.
Hence, \(y = 2x^2 + 8x + 8\) could represent the parabola
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Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
-4 and 2
Step-by-step explanation:
The exact numbers of that position is -4 and 2
In a study involving car owners one questions asked the owner for the number of miles driven last year. a second questions asked the owner for the age of the vehicle. a joint frequency distribution would be useful for determining whether newer cars tend to be driven more miles than older cars (True or false)
Answers
The given statement "A joint frequency distribution would be useful for determining whether newer cars tend to be driven more miles than older cars." is true because it shows the frequencies, or counts in table.
A joint frequency distribution is a table that shows the frequencies, or counts, of two or more variables for a given dataset. In this case, the two variables are the number of miles driven last year and the age of the vehicle for a sample of car owners.
A joint frequency distribution would be useful for examining the relationship between these variables and determining whether newer cars tend to be driven more miles than older cars.
By examining the joint frequency distribution, one can calculate and compare the average miles driven for different age categories of cars. For example, the average miles driven per year for cars less than 5 years old can be compared to the average miles driven per year for cars 5 to 10 years old and cars over 10 years old.
This can provide insight into whether there is a relationship between car age and miles driven, and whether this relationship is significant.
Therefore, the statement that a joint frequency distribution would be useful for determining whether newer cars tend to be driven more miles than older cars is true. It is a useful tool for examining the relationship between two variables and identifying patterns and trends in the data.
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A number plus that number squared is equal to 110.
Answers
Answer:
x=10,-11
Step-by-step explanation:
x+x^2=110
10+11^2=110
Answer:
10+10^2
Step-by-step explanation:
If you do 10 and add that squared number of 10, it would be 10+ 100 which is 110.
Balena has a garden in the shape of a circle of radius 10 m.
He is going to cover the garden with grass seed to make a lawn.
Grass seed is sold in boxes.
Each box of grass seed will cover 46 m' of garden.
Balena wants to cover all the garden with grass seed.
Work out an estimate for the number of boxes of grass seed Balena needs.
Show your working out.
Answers
Answer:
7
Step-by-step explanation:
→ Work out area of circle
π × 10² = 100π = 314.159 (3 decimal places)
→ Divide area of circle by box area
314.159 ÷ 46 = 6.8295
→ Round answer as you can't get a decimal of a box
7
The area of a circle is given as πr².
The number of boxes of grass seeds required to cover the garden is 9 boxes.
What is a circle?A circle is a round-shaped figure that has no corners or edges.
The area of a circle is given as:
Area = πr²
We have,
The radius of the circle = 10 m
Area of the garden:
= πr²
We can take,
π = 22/7 = 3.14
= 3.14 x 10 x 10
= 314 m²
The area of a box of grass seeds:
= 46 m²
The number of boxes of grass seeds to cover the garden area:
= 314 / 46
= 6.8 boxes
Thus,
The number of boxes of grass seeds required to cover the garden is 9 boxes.
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15. Describe the three general steps
for producing a recombinant DNA (rDNA) vector, state how rDNA can
be introduced into cells, and discuss the clinical applications of
rDNA.
Answers
Producing rDNA involves isolating and cleaving DNA, inserting fragments into a vector, and transforming host cells. rDNA can be introduced via transformation, transfection, or viral vectors. Clinical applications include protein production, gene therapy, vaccines, and diagnostics.
Producing a recombinant DNA (rDNA) vector involves several general steps. Here are the three main steps involved in the process:
Isolation and Cleavage of DNA:
The first step is to isolate the desired DNA fragments from the source organism. This can be done using various techniques such as PCR (Polymerase Chain Reaction) or restriction enzyme digestion. Restriction enzymes are enzymes that cut DNA at specific recognition sites. By using the appropriate restriction enzymes, the desired DNA fragment and a vector DNA can be cut at specific sites. The vector is usually a plasmid, which is a small circular DNA molecule.
Insertion of DNA Fragments into the Vector:
Once the DNA fragments and vector have been cut, they are mixed together and joined through a process called ligation. DNA ligase is used to catalyze the formation of covalent bonds between the ends of the DNA fragments and the vector. This creates a recombinant DNA molecule containing the desired DNA fragment within the vector. The recombinant DNA molecule is then introduced into host cells for replication.
Transformation of Host Cells:
The recombinant DNA molecules need to be introduced into host cells to produce multiple copies of the recombinant DNA. This is typically done using a process called transformation. Host cells, such as bacteria or yeast, are treated in a way that makes them more receptive to taking up the recombinant DNA. Methods for transformation include heat shock, electroporation, or using chemical agents. Once the host cells have taken up the recombinant DNA, they can be grown in culture to produce large quantities of the desired DNA fragment.
Introduction of rDNA into Cells:
Recombinant DNA can be introduced into cells using various methods, depending on the type of cells being targeted. Some common techniques include:
Transformation: As mentioned earlier, host cells, such as bacteria or yeast, can be treated to make them receptive to taking up the recombinant DNA. This can be achieved by exposing the cells to heat shock, electroporation, or using chemical agents.
Transfection: This method is used for introducing rDNA into eukaryotic cells, including animal cells. It involves the use of techniques such as calcium phosphate precipitation, liposome-mediated transfection, or electroporation.
Viral Vectors: Certain viruses, such as retroviruses, adenoviruses, or lentiviruses, can be modified to carry the recombinant DNA. These viral vectors can then infect target cells and deliver the rDNA into the host genome.
Clinical Applications of rDNA:
Recombinant DNA technology has revolutionized biomedical research and has led to numerous clinical applications. Some important applications include:
Production of Therapeutic Proteins: rDNA technology allows for the production of large quantities of therapeutic proteins, such as insulin, growth factors, clotting factors, and monoclonal antibodies. These proteins can be used to treat various diseases, including diabetes, cancer, and genetic disorders.
Gene Therapy: rDNA vectors can be used to deliver functional copies of genes into target cells to correct genetic defects. This holds promise for the treatment of inherited diseases caused by single gene mutations, such as cystic fibrosis and muscular dystrophy.
Vaccine Development: Recombinant DNA technology has been instrumental in the development of vaccines. By expressing specific antigens from pathogens, recombinant vaccines can be created to stimulate an immune response without causing disease.
Diagnostic Tools: Recombinant DNA techniques are used to produce specific DNA or RNA probes for diagnostic purposes. These probes can detect the presence of specific genes or mutations associated with diseases, aiding in early detection and personalized medicine.
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find the quotient 2/5÷1/4
Answers
Answer:
8/5
Step-by-step explanation:
The sum of two numbers is 1633 and their difference is 35. Find the 2 numbers using simultaneous equation.
Please show working out
Answers
Answer:
Please Mark As Brainliest!!
834 and 799
Step-by-step explanation:
x+y=1633
x-y=35
2x= 1668
x=834
y=799
Answer:
((819.458,813.542)
Step-by-step explanation:
sum of two numbers=1633
x+y=1633----equation (i)
their difference=35
(x-y)^2=35----equation (ii)
solve simultaneous equation by using substitution method
x+y=1633
make x the subject of the formula
x=1633-y---(i)
substitute equation (i)into (ii)
(x-y)^2=3
(1633-y-y)^2=35
(1633-2y)^2=35
apply square root both sides
√(1633-2y)^2=√35
1633-2y=√35
-2y=√35-1633
-2y=-1627.08392
divide both sides by -2
y=813.5419601
substitute the value of y in equation (i
x=1633-y
x=1633-813.5419601
x=819.4580399
therefore the two numbers are (819.458, 813.542)
Find the sum of the first 6 terms of the following series, to the nearest integer.
180, 30, 5, ...
Answers
Answer:
Step-by-step explanation:
First solve for the common ratio:
\(\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}\)
Use the geometric summation equation to solve for sum:
\(a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216\)
The sum of the first 6 terms of the following series is 540.
What is the geometric series?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
The sum of the terms of the geometric sequnece is given by;
\(\rm S_n=\dfrac{a(1-r^n)}{1-r}\)
The common ratio of the sequence is;
\(\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\\)
The sum of the first 6 terms of the following series is;
\(\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\\)
Hence, the sum of the first 6 terms of the following series is 540.
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how many integer values of x are there so that x, 5, and 8 could be the lengths of the sides of a triangle?
Answers
The integer value of x is 6.
What is a side of a triangle?
The three vertices of a triangle connect the straight lines that make up its sides. In other terms, we can state that a triangle's sides are line segments that converge at the triangle's vertices.
Here, we have
Given,
the lengths of the sides of a triangle are x, 5, and 8.
x² + 5² < 8²
x² + 25 < 64
x² < 39, now perfect squares less than 39 are 36, 25, 16, 9, 4, 1.
x² + 5² = 8²
x² + 25 = 64
x² = 39, No integer values.
x² + 5² > 8²
x² + 25 > 64
x² + > 39
Here the possible integer values are infinite.
Hence, the integer value of x is 6.
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use the vector w=3\sqrt(2)i+\sqrt(2)j to find 2w
Answers
Answer:
The answer is "\(\bold{6\sqrt(2)i+2\sqrt(2)j)}\)"
Step-by-step explanation:
Given:
\(w=3\sqrt(2)i+\sqrt(2)j\)
To Find:
2w=?
Solution:
\(\Rightarrow 2w= 2\times w\\\\\Rightarrow 2w= 2\times (3\sqrt(2)i+\sqrt(2)j)\\\\\Rightarrow 2w= 6\sqrt(2)i+2\sqrt(2)j)\\\)
Number
8.6134
5.5218
...to the nearest tenth ...to the nearest hundredth
..to the nearest thousandth
Concepts and Applicati
Answers
The following numbers are rounded up as follows:
8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
nearest tenth = 5.5nearest hundredth = 5.52nearest thousandth = 5.522How to round up?Rounding up a number means to round a number to the smallest integer that is not less than it, or to some other greater value.
Thousandth, hundredth and tenth are used after the decimal point.
nearest tenth means one number after the decimal pointnearest hundredth means two numbers after the decimal pointnearest thousandth means three numbers after the decimal point8.6134
nearest tenth = 8.6nearest hundredth = 8.61nearest thousandth = 8.6135.5218
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Marshall has b buttons. He gives away 13 buttons. Write an expression that shows the number of buttons Marshall
has left.
Answers
Answer:
Since Marshall gives away 13 buttons out of b buttons, it means that b is an expression of a number which is greater than 13. Therefore,the answer is b - 13.
hlppppppppppppppppppppppppppp
Answers
Answer:
B just did the test
Step-by-step explanation:
the sum of the first 20 positive odd integers
Answers
Answer:
\(400\)
Step-by-step explanation:
\(We\ know\ that,\\'The\ sum\ of\ n\ no.\ positive\ odd\ integers\ is\ given\ by\ the\ formula:\\S_O=n^2\\Hence,\\Here,\\As\ n=20,\\The\ sum\ of\ the\ first\ 20\ positive\ odd\ integers=20^2=400\\\)
Write a contextual story for the equation 2x+4=24
Answers
Answer:
Step-by-step explanation:
2X=24-4 x=20/2 x=10
Answer:
Amy had 4 erasers. Brianna gave her x more erasers which doubled the amount of erasers she had. How many erasers does Amy have in total?
Kayla has a bowl of beads that contains 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead from
the bowl.
The probability of Kayla not drawing a yellow or a green bead is. %. The probability of Kayla drawing a red or a green bead is. %.
Answers
Answer:
Probability of not drawling a yellow or a green bead is 30%
Probability of drawing a red or green is 46%
Step-by-step explanation:
Answer:
1. 30%
2.46%
Step-by-step explanation:
The probability of Kayla not drawing a yellow or a green bead is 30 %. The probability of Kayla drawing a red or a green bead is 46 %.
Correct for plato! :)
PLEASE ANSWER, HURRY!!!
Answers
Hello!
1/6 ≈ 0.167
the answer is 0.167
14. What angle is complementary to
Answers
The angle that is complementary to angle X is 90 degrees minus angle X.
1. Complementary angles are two angles whose sum is 90 degrees.
2. Let's assume that angle X is given.
3. To find the angle that is complementary to angle X, we need to subtract angle X from 90 degrees.
4. The formula to find the complementary angle is: Complementary Angle = 90 degrees - angle X.
5. Substitute the value of angle X into the formula to calculate the complementary angle.
6. For example, if angle X is 45 degrees, the complementary angle would be: 90 degrees - 45 degrees = 45 degrees.
7. Similarly, if angle X is 60 degrees, the complementary angle would be: 90 degrees - 60 degrees = 30 degrees.
8. Therefore, to find the complementary angle to any given angle X, subtract that angle from 90 degrees.
9. The result will be the measure of the angle that is complementary to angle X.
10. Remember that complementary angles always add up to 90 degrees.
11. By using this approach, you can find the complementary angle for any given angle X.
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given rectangular grid nxm starting at position (x1,y1) you are trying to reach (x2,y2) return number of steps it takes to get there. code signal
Answers
Given an infinite grid, initial cell position (x, y) and a sequence of other cell position which needs to be covered in the given order.
The task is to find the minimum number of steps needed to travel to all those cells.
Note: Movement can be done in any of the eight possible directions from a given cell that is from cell (x, y) you can move to any of the following eight positions:(x-1, y+1), (x-1, y), (x-1, y-1), (x, y-1), (x+1, y-1), (x+1, y), (x+1, y+1), (x, y+1) is possible
Examples:
Input: points[] = [(0, 0), (1, 1), (1, 2)]
Output: 2
Move from (0, 0) to (1, 1) in 1 step(diagonal) and
then from (1, 1) to (1, 2) in 1 step (rightwards)
Input: points[] = [{4, 6}, {1, 2}, {4, 5}, {10, 12}]
Output: 14
Move from (4, 6) -> (3, 5) -> (2, 4) -> (1, 3) ->
(1, 2) -> (2, 3) -> (3, 4) ->
(4, 5) -> (5, 6) -> (6, 7) ->
(7, 8) -> (8, 9) -> (9, 10) -> (10, 11) -> (10, 12)
Since all the given points are to be covered in the specified order.
Find the minimum number of steps required to reach from a starting point to next point, then the sum of all such minimum steps for covering all the points would be the answer.
One way to reach from a point (x1, y1) to (x2, y2) is to move abs(x2-x1) steps in the horizontal direction and abs(y2-y1) steps in the vertical direction, but this is not the shortest path to reach (x2, y2).
The best way would be to cover the maximum possible distance in a diagonal direction and remaining in horizontal or vertical direction.
If we look closely this just reduces to the maximum of abs(x2-x1) and abs(y2-y1).
Traverse for all points and summation of all diagonal distance will be the answer.
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Free poi.nts but if you can figure this out:
We wish to send a message of size 150,000 bytes over the network. There are four hops, each of length 20 km and running at 100 Mb/s. However, before sending we split the message into 1500 byte packets. What is the end-to-end delay of the message? Use speed of light in copper c=2∗108 m/s, and round your answer to the nearest integer millisecond. (doubt ya'll will) - will give brainliest if you do
Answers
Answer:
hiiii how r u
Step-by-step explanation:
brainiest pleasee
a flashlight battery manufacturer makes a model of battery whose mean shelf life is three years and four months, with a standard deviation of three months. the distribution is approximately normal. one production run of batteries in the factory was 25,000 batteries. how many of those batteries can be expected to last between three years and one month and three years and seven months?the is the average value of a set of numerical data, found by adding all the values and dividing by the number of elements in the set.
Answers
The number of batteries expected to last between three years and one month and three years and seven months, is 12,500 batteries.
Given that the mean shelf life of the flashlight batteries is three years and four months and the standard deviation is three months.
To find the number of batteries that can be expected to last between three years and one month (3.08 years) and three years and seven months (3.58 years), we need to calculate the probability within this range.
First, we convert the given time intervals to years:
Three years and one month = 3.08 years
Three years and seven months = 3.58 years
Next, we calculate the z-scores for these values using the formula:
z = (x - μ) / σ
For 3.08 years:
z1 = (3.08 - 3.33) / 0.25 = -1
For 3.58 years:
z2 = (3.58 - 3.33) / 0.25 = 1
Now, we can use the standard normal distribution table or a calculator to find the probabilities corresponding to these z-scores.
The probability of a value falling between -1 and 1 is the difference between the two probabilities.
Let's assume that the distribution is symmetric, so half of the batteries would fall within this range.
Therefore, the number of batteries that can be expected to last between three years and one month and three years and seven months is approximately:
Number of batteries = 0.5 × Total number of batteries = 0.5 × 25,000 = 12,500 batteries.
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Please answer fast, it's important... Q) find the volume of cube whose dimensions are (x+7y), (7x-y) and (xy-5).
Answers
Answer:
\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)
Step-by-step explanation:
Given
Shape: Cube
Dimension: (x+7y), (7x-y) and (xy-5).
Required
Determine the volume
The volume is calculated by multiplying the dimensions:
\(Volume = (x+7y) * (7x-y) * (xy-5)\)
Evaluate the first 2 brackets
\(Volume = [x(7x-y)+7y(7x-y)] * (xy-5)\)
\(Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)\)
\(Volume = [7x^2-xy+49xy-7y^2] * (xy-5)\)
\(Volume = [7x^2+48xy-7y^2] * (xy-5)\)
Open brackets
\(Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2]\)
\(Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2\)
50 POINTS!!
The function f(x) = 5(2)* represents the number of bacteria, f(x), growing in a culture after x hours. How many bacteria are in the culture after 3 hours? Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, .,-, and / are allowed in your answer. Answers that are mixed numbers must be entered as an improper fraction or a decimal.
Answers
Answer:
If it's
F(x)=5x
Then f(3)=15
Step-by-step explanation:
Jeff had $20. He spent 3/8
of his money on lunch. How much money does Jeff have left?
A.$12.50
B.$7.50
C.$8.25
D.$16.75
Answers
Answer:
$12.50
Step-by-step explanation:
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s.
Answers
Answer:
$12 per shirt
Step-by-step explanation:
$300/25=$12
Answer:
11.96 per shirt
Step-by-step explanation:
299/25 = 11.96 you do this instead of 300/25 because it says less than 300
Solve four fifths times v plus 5 equals three fifths times v minus 6.
A. v = 55
B. v equals eleven fifths
C. v equals negative eleven fifths
D. v = −55
Answers
Solution for the equation four fifths times v plus 5 equals three fifths times v minus 6 ,which means (4/5)v+5 = (3/5)v - 6 is v= -55 .
In the question ,
the equation is given as ,(four fifths times v plus 5 equals three fifths times v minus 6) , which means
\(\frac{4}{5} v +5=\frac{3}{5} v-6\)
Combining like terms together and solving we get ,
(4/5)v-(3/5)v = -6-5
Simplifying further we get ,
(1/5)v= -11
v/5 = -11
Multiplying both sides by 5 we get ,
v = -11*5
v= -55
Therefore , the solution for the equation (4/5)v+5 = (3/5)v - 6 is v= -55 .
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