Determine the equation of the line that passes through the given point and is parallel to the given line Point: (3,-4) Line: y=-2/3x-2
Answer:
y=-2/3x+2
Step-by-step explanation:
multiply -2/3 by the x coordinate (3) and set up your equation in y=mx+b format using the y coordinate (-4=-2+b) -4/-2 is 2. Now keep your original slope and your equation is y=-2/3x+2
Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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find two consecutive whole numbers that square root 137 lies between
Answer: 137 lies between 136 and 138
Hope this helps!!
Answer:
11 and 12
Step-by-step explanation:
The square root of 137 lies between 11 and 12 because 11^2 = 121 and 12^2 = 144. 137 lies between 121 and 144.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren ⚘
why do we use standard deviation?
Answer:
used to tell how measurements for a group are spread out from the average (mean or expected value). ... Standard deviation is also useful in money, where the standard deviation on interest earned shows how different one person's interest earned might be from the average.
Use the graph of F given below to find f(80)
Answer:
40
Step-by-step explanation:
The value of f at x=80 is 40
how to graph:
y= 2x + 3
y= 2x + 1
Step-by-step explanation:
on y= 2x + 3 you would start at (0,3) then go up 2 and over one and repeat that. on y= 2x + 1 you would start at (0,1) and go up 2 and over 1 as well, they should look the same just one starts higher.
Step-by-step explanation:
it may help you to understand
The ratio of your monthly allowance compared to your friends monthly allowance is five to three and totally you and your friend make $40 how much money do you make
What is the meaning of "the cancellation laws"?
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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6 erasers cost $6.60. Which equation would help determine the cost of 3 erasers
Answer:
6.60÷2=3.30
Step-by-step explanation:
6.60÷2=3:30
A rope is stretched from the top of a 7-foot tent to a point on the
ground that is 10 feet from the base of the tent.
7 ft
10 ft
How long is the rope? Approximate to the nearest tenth if necessary.
O A. 3 ft
B. 7.1 ft
C. 12.2 ft
O D. 17 ft
PLS I NEED HELPPP
Answer:D is wrong, Its C: 12.2 ft
Step-by-step explanation:
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
estimate the product to the nearest whole number. 481 .68 * 76.25
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.
Then, we can calculate the product of 482 and 76 to get the estimated result:
482 * 76 = 36,552
Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.
Answer:
36,552
Step-by-step explanation:
To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.
The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.
HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
1) Berdine's Chicken Factory has several stores in the Hilton Head, South Carolina, area. When interviewing applicants for server positions, the owner would like to include information on the amount of tip a server can expect to earn per check (or bill). A study of 500 recent checks indicated the server earned the following amounts in tips per 8-hour shift. Amount of Tip ($) Number 0 up to 20 200 20 up to 50 100 50 up to 100 75 100 up to 200 75 200 or more 50 a) What is the probability of a tip of $200 or more? b) What is the probability of a tip of up to $50?
Answer:
a) 0.1 = 10% probability of a tip of $200 or more.
b) 0.4 = 40% probability of a tip of up to $50.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Distribution:
Total of 500 checks.
200 with tips in the interval of 0-20.
100 with tips in the interval of 20-50.
75 with tips in the interval of 50-100.
75 with tips in the interval of 100-200.
50 with tips of 200 or more.
a) What is the probability of a tip of $200 or more?
50 out of 500. So
\(p = \frac{50}{500} = 0.1\)
0.1 = 10% probability of a tip of $200 or more.
b) What is the probability of a tip of up to $50?
200 out of 500. So
\(p = \frac{200}{500} = 0.4\)
0.4 = 40% probability of a tip of up to $50.
A pre-election survey showed that two out of every three eligible voters would cast ballots in the county election. There are 390,000 eligible voters in the county. How many people are expected to vote in the election?
The number of people that nare expected to vote in the election is 260,000. people.
How to illustrate the fraction?Simply put, a fraction is a portion of a whole. Mathematically, the number is represented as a quotient with split numerator and denominator. The numerator and denominator of a simple fraction are both integers. On the other hand, a complex fraction has a fraction in either the numerator or the denominator.
In this situation, the pre-election survey showed that two out of every three eligible voters would cast ballots in the county election and there are 390,000 eligible voters in the county.
The number of people expected to vote will be:
= Fraction of expected voters × Total number of people
= 2/3 × 390000
= 2 × 130000
= 260000
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the number.
the original
by
1. Sushma is now 15 years older than Vijay but in 3 more years she will be 8 times as old as Vijay was 3
years ago. How old are they
Answer:
Vijay is 6 and Sushma is 21.
Step-by-step explanation:
Let's set up a system of equations for this question.
Let S be Sushma's age and V be Vijay's age.
\(S = 15 + V\)
\(S + 3 = 8(V - 3)\)
Manipulate the second equation to isolate S:
\(S + 3 = 8(V - 3)\)
\(S + 3 = 8V - 24\)
\(S = 8V - 24 - 3\)
\(S = 8V - 27\)
Plug in the second equation into the first:
\(8V - 27 = 15 + V\)
\(8V - V = 15 + 27\)
\(7V = 42\)
\(V = 6\)
\(S = 15 + V\)
\(S = 21\)
Hope this helped!
5. a random sample of 500 subjects measured their systolic blood pressure, and if they were a smoker or not. the goal is to evaluate if average systolic blood pressure differs by smoking status. summary sample statistics on the dataset follow:
There is a difference in average systolic blood pressure between smokers and non-smokers.
To evaluate if average systolic blood pressure differs by smoking status, we need to calculate the mean systolic blood pressure for both smokers and non-smokers. We can calculate the mean systolic blood pressure for smokers by taking the sum of systolic blood pressure values for all smokers in the sample, divided by the number of smokers in the sample. This formula can be written as:
Mean Systolic Blood Pressure for Smokers = (Sum of Systolic Blood Pressure Values for all Smokers) / (Number of Smokers)
Similarly, we can calculate the mean systolic blood pressure for non-smokers by taking the sum of systolic blood pressure values for all non-smokers in the sample, divided by the number of non-smokers in the sample. This formula can be written as:
Mean Systolic Blood Pressure for Non-Smokers = (Sum of Systolic Blood Pressure Values for all Non-Smokers) / (Number of Non-Smokers)
Once we have calculated the mean systolic blood pressure for both smokers and non-smokers, we can compare the two means to evaluate if there is a difference in average systolic blood pressure between smokers and non-smokers.
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Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
Recently many airlines have had cancel flight in a single day republic airlines had to cancel 416 flights representing 15.1% of the airlines scheduled flights. How many flights were originally scheduled?
The number 2755 flights were scheduled.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Recently many airlines have had to cancel flights in a single day.
Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.
The number of flights scheduled,
= 416 x 100/ 15.1
= 41600/15.1
= 2754.96
≈ 2755
Therefore, 2755 flights were scheduled.
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whats 10000x1? Im an ideot,
Answer:
10000
Step-by-step explanation:
LOL its ok :)
Answer:
10000
Step-by-step explanation:
When we multiply two numbers, the answer we get is called 'product'. The number of objects in each group is called 'multiplicand,' and the number of such equal groups is called 'multiplier'. In math, to multiply means to add equal groups. ... The two factors and the product are parts of a multiplication problem. In the multiplication problem, 6 × 9 = 54, the numbers 6 and 9 are the factors, while the number 54 is the product. The four basic mathematical operations--addition, subtraction, multiplication, and division--have application even in the most advanced mathematical theories. Thus, mastering them is one of the keys to progressing in an understanding of math and, specifically, of algebra.
:D
Brainliest?
Need help will give brainiest
Answer:
3. x=50, y=80, 4. x=6.5, y=5
Step-by-step explanation:
I think, not entirely sure.
Plz show work. Need help fast please please.
Step-by-step explanation:
10:
\( \sqrt{50} = \sqrt{2 \times 25} = \sqrt{2} \times \sqrt{25} = \: 2 \times \sqrt{5} \)
11:
\( \sqrt{88} = \sqrt{4 \times 22} = \sqrt{4} \times \sqrt{22} = \: \: \: \: \: 2 \times \sqrt{22} \)
12:
\( \sqrt[3]{54} = \sqrt[3]{ {3}^{3} \times 2} = \sqrt[3]{ {3}^{3} } \times \sqrt[3]{2} = \: \: \: \: \: 3 \times \sqrt[3]{2} \)
Can u pleaseee answer all parts pleaseeeee <3333
please help meee
a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)
b. The increase in cost between 12 noon and 3 pm is $2.
c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
How do you express a data set in interval notations?Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.
The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.
We can represent it as (8am, 9am) U (11am, 12pm).
It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).
And stays constant at : (9am, 10am) U (10am, 11am)
Cost increase from 12 to 3pm,We simply deduct the 12pm's cost from 3pm's cost.
So, we have
Cost increase = $3.5 - $1.5
Evaluate the difference
Cost increase = $2
Hence, the cost increase is $2
The time interval where the cost is lowerWhen you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)
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Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Write equivalent fractions for 2 2/3 and 2 1/4 using a common denominator please hurry
The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:
32/12 and 27/12.
How to obtain the equivalent fractions?The mixed numbers in the context of this problem are given as follows:
2 and 2/3.2 and 1/4.The fractions that represent each number are given as follows:
2 + 2/3 = 6/3 + 2/3 = 8/3.2 + 1/4 = 8/4 + 1/4 = 9/4.The least common factor of 3 and 4 is given as follows:
3 x 4 = 12.
Hence the equivalent fractions are given as follows:
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use the shell method to find the volume generated by revolving the shaded regions bounded by the curves and lines in exerciss 7-12about the y-axis
The answer is 1) V = \(2\pi\int\limits(2)+ {x} \, dx\); 2) V = \(2\pi \int\limits(1 - 2x) - 2x dx\); 3) V =\(2\pi \int\limits {\sqrt{2} } \, dx\) ; 4) V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) .
1) The volume of the shell is then given by the product of the area of its curved surface and its height. The height is equal to 2 - (-2) = 4, and the radius is equal to the minimum of the distances from x = 2 to the two curves, which is x = 2 - () = 2 + . The volume of the solid is then given by the definite integral:
V = \(2\pi\int\limits(2)+ {x} \, dx\) = \(2\pi [(/3) + 2x]\) evaluated from 0 to 1 = (4/3)π.
2) The height of the region is equal to - (2x) = -2x, and the radius is equal to the minimum of the distances from x = 1 to the two curves, which is x = 1 - (2x) = 1 - 2x. The volume of the solid is then given by:
V = \(2\pi \int\limits(1 - 2x) - 2x dx\)=\(2\pi [/5 - 2/3 + /2]\) evaluated from 0 to 1 = (8π/15).
3) The height of the region is equal to (2-x) - = 2-x. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = The volume of the solid is then given by:
V =\(2\pi \int\limits {\sqrt{2} } \, dx\) = \(2\pi [(x^4/4)]\) evaluated from 0 to √2 = (π/2).
4) The height of the region is equal to () - (2-) = 2 - 2. The radius is equal to the minimum of the distances from x = 0 to the two curves, which is x = √((2-)/2). The volume of the solid is then given by:
V = \(2\pi\int\limits {\sqrt{(-2/2)(2-2)} \ dx\) = \(4\pi [(2/3)\± (2\sqrt{2} /3)]\)
The complete Question is:
Use the shell method to find the volumes of the solids generated by revolving the regions bounded by the curves and lines in about the
1. y = x, y = -x/2, and x = 2
2. y = 2x, y = x/2, and x = 1
3. y = x/2, y = 2-x, and x = 0
4. y = 2-x/2, y = x/2, and x = 0
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Dans une boîte, il y a des jetons de différentes formes (triangle, disque flèche) décorées avec trois sortes de motif.
Flèch
Formes Triangle
30
Disque
10
Total
48
Motif
Motif 1
Motif 2
Motif 3
9
AD
4
16
90
45
23
Total
Answer:
The anwer for the top row is 30, 10, 8, and 48. The next row is 9, 8, 9, and 26. The next row is 6, 4, 6, and 16. The last row is 45, 22, 23, and 90.
Step-by-step explanation:
How many terms are in the expression 32abc + 17ab -14bc -5?
Hey there! I'm happy to help!
A term is anything in an expression that is added. If you see a - sign it is still a term it is just adding a negative number.
We are adding 32abc, 17ab, -14bc, and -5, so this is four total terms.
Have a wonderful day! :D
A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer and explanation:
Null hypothesis: p is not 54%
Alternative hypothesis : p is equal 54%
First find standard deviation
Standard deviation is:
σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033
The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121
Therefore we can conclude that proportions are not same and fail to reject the null hypothesis
A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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