The two numbers by setting up a linear equation are 56 and 32
What are linear equations?Linear equations are equations that have constant average rates of change.
Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the two numbers by setting up a linear equation?Let the two numbers be x and y
Where
y = 4 + 1/2x
So, we have
x + y = 88
Substitute y = 4 + 1/2x in x + y = 88
x + 4 + 1/2x = 88
Evaluate
1.5x = 84
Divide by 1.5
x = 56
Substitute x = 56 in y = 4 + 1/2x
y = 4 + 1/2 * 56
Evaluate
y = 32
Hence, the two numbers by setting up a linear equation are 56 and 32
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What is the domain?
-3,5
0,4
3,5
Answer:
-3, 0, 3
Step-by-step explanation:
The domain is the set of all x values
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and sd = 15. what conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
A conclusion which can be inferred about an individual score that corresponds to a z-value of 1.0 is that: c.) it is likely to come from the healthy distribution.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the sample mean or observed data.u is the mean.δ is the standard deviation.Since the individual score that corresponds to a z-value of 1.0, we can reasonably infer and logically conclude that an individual score is likely to come from the healthy distribution.
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Complete Question:
Scores of healthy adults on a neurological test form a normal distribution with mean = 100 and SD = 15. What conclusion can be inferred about an individual score that corresponds to a z value of 1.0?
a.) it falls in the general region of the population
distribution
b.) it falls in the common region of the distribution
c.) it is likely to come from the healthy distribution
d.) it is unlikely to come from the healthy distribution
Determine whether the data show a linear relationship. If so, write an equation of a line of fit.
The data do not show a linear relationship.
The data do not show a linear relationship.
The data show a linear relationship; The equation is y=4.25x+1.75.
The data show a linear relationship; The equation is y is equal to 4 point 2 5 x plus 1 point 7 5.
The data show a linear relationship; The equation is y=1.75x+4.25.
The data show a linear relationship; The equation is y is equal to 1 point 7 5 x plus 4 point 2 5.
The data show a linear relationship; The equation is y=6x.
The data show a linear relationship; The equation is y is equal to 6 x.
Question 2
If there is a linear relationship, use the selected equation to estimate y when x=15 and interpret its meaning in the context of the situation.
y=
, which means that after
minutes, you have burned
calories.
The slope of the given function is not constant therefore it will not be a linear function so option (A) will be correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
Given the data table,
If we take its point as coordinate then (1,6),(6,27),(11,50)(13,56) and (16,70).
Slope associated with two points (1,6), (6,27)
(27 - 6)/(6 - 1) = 4.2
Now Slope is associated with two points(6,27),(11,50)
(50 - 27)/(11 - 6) = 4.6
Since the slope is not the same therefore given function is not the linear function because the linear function has a constant slope.
Hence "The slope of the given function is not constant therefore it will not be a linear function".
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if a circle passe though point (-4,2) and is tangent to the x-axis at (2,0), determine the coordinates of its center.
. An architect is designing a new windmill with four sails. In her
sketch, the sails' center of rotation is the origin, (0,0), and the tip of one of the sails,
point
S, has coordinates (2,4). She wants to make another sketch that shows the windmill
after the sails have rotated 270° clockwise about their center of rotation. What would
be the coordinates of S?
The coordinates of S are (-4,2) .
The sails' center of rotation = Origin (0,0)
Coordinates of S on the top of one of the sails, = (2,4)
Rotation :The action or process of rotating on or as if on an axis or center.
Centre of Rotation :The center of rotation is a point about which a plane figure rotates. This point does not move during the rotation.
It is given that sails have rotated 270° clockwise.
So, When we rotate a figure of 270 degree clockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
So, the point turn (2, 4) into (-4, 2).
Thus, the coordinates of S are (-4,2).
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The drama club would like to build a theater in the round, so the audience can be seated on all sides of the stage, for its next production.
a. The stage is to be a regular octagon with a total perimeter of 60 feet. To what length should each board be cut to form the sides of the stage?
so if you take 60 by x and The sides of an octagon which is 8 you should have your answer
4(u 1) - 1 = 2(2u - 3)
Answer:
4u+4-1=4u-6
4u+3=4u-6
4u+9=4u
9 I think
Step-by-step explanation:
A graph with hours on the x-axis and height (inches) on the y-axis. A line goes through points (1, 2), (2, 4), and (3, 6).
Which describes the pattern of the data in the graph?
a. The water level increases by 1 inch each hour.
b. The water level increases by 2 inches each hour.
c. The water level increases by a factor of one-half each hour.
d. The water level increases by a factor of 2 each hour.
The water level increases by 2 inches each hour.
How to determine which describes the pattern of the data in the graph?The points on the graph are given as
(1, 2), (2, 4), and (3, 6)
Next, we calculate the slope of the line, as follows:
Slope = [y2 - y1]/[x2 - x1]
So, we have
Slope = [4 - 2]/[2 - 1]
Evaluate the quotient
Slope = 2
The above means that, the water level increases by 2 inches each hour.
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The value of y varies inversely with the square of x, and y = 4, when x = 5. What is y when x=10
Answer:
Step-by-step explanation:
[tex]y=k/x^{2}[/tex]
when y=4, x=5. Therefore:
[tex]4=k/5^2[/tex]
[tex]k=100\\[/tex]
If [tex]k=100, x=10 \\[/tex]
then [tex]y=100/10^2[/tex]
y=1
Answer:
The value of x when y = 9 is x = 2 or x = -2
Step-by-step explanation:
Given that value of y varies inversely as the square of x, and y=4, when x=3.
Therefore the initial statement is:
[tex]y x \frac{1}{x^{2} }[/tex]
Can anybody help!!!??? Pls
Answer:
thanks for the points x
Step-by-step explanation:
thanks
i just need help asap please
Answer:
wsg
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help on what
-(10 + (-6))
-((-55) + 1
-2
Answer:
52
Step-by-step explanation:
-(10 + (-6)) - ((-55) + 1 - 2)
(-10 + 6) + (55 - 1 + 2)
(-4) + (56) = 52
I hope this helps!
Solve inequality.
-2 w<24
From the inequality given by -2w < 24, w is greater than -12.
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
Solving the inequality,
-2w < 24
Making sure the unknown variable is in one side and the constants in the other side.
-2w < 24
Divide both sides by -2, the coefficient beside the unknown variable,
(-2/-2)w < 24/-2
w < -12
Note that when we multiply or divide by a negative number
we must reverse the inequality.
w < -12 ⇒ w > -12
Therefore, w is greater than -12.
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1/4 x -1/2 =
will give brainest
Hello,
[tex] \frac{1}{4} \times- \frac{1}{2} = \frac{1 \times (-1)}{4 \times 2} = - \frac{1}{8} [/tex]
Kathy has to write a 40 page report for her research class. She plans to write 8 pages in 4/7 week. She has 3 weeks to finish her report. Will she finish her report on time?
Answer:
Yes
Step-by-step explanation:
If she writes 8 pages a day for 4 days a week, in the first week, she will have already written 32 pages which she would only need one more day.
4 x 8 = 32
32 + 8 = 40
That gives her time to edit and revise :)
Hope this makes sense
an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
What do you mean by vanishing?Vanishing means to leave or cease existing, especially in an abrupt or unexpected manner.
I be a quasicompact sheaf that can be inverted. X
demonstrate the existence of an epimorphism O ⊕I/X →I
OX⊕I→I if and only if for any point p∈X
p∈X there exists a global section of I
L not vanishing at p
If there is an epimorphism, it is asserted on page 121 of Hartshorne's book O ⊕I/X→I
OX⊕I→I Afterward, a family of global parts exists
{si} i∈I
{si}i∈I of I
I such that Ip is generated by {si,}i∈I
{si,p}i∈I as O
X,p
OX,p-module for every p∈X
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
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What is the inverse funtion of F F(x)= 3-x/7
A. F-1(x)=3-7x
B. F-1(x)= 7+x/3
C. F-1(x)=3- x/7
D. F-1(x)= 7x - 3
Answer:
Replace y with f−1(x) f - 1 ( x ) to show the final answer. Verify if f−1(x)=x3+73 f - 1 ( x ) = x 3 + 7 3 is the inverse of f(x)=3x−7 f ( x ) = 3 x - 7
Step-by-step explanation:
What is the scale factor of the dilation of figure A to figure B?
a. 2/3
b. 3/2
c. 2
d. 3
recall that the distance between a point and the xz-plane is the absolute value of its ? -coordinate.
Remember that a point's y-absolute coordinate's value determines how far away it is from the x-z plane.
With an example, define a plane?
Other names for it include a two-dimensional surface. A plane has an endless width, an infinite length, zero thickness, and also no curvature. The flat surfaces of a cube or cuboid, as well as the flat surfaces of paper, are all true examples of geometric planes, despite the fact that it is impossible to envision a plane in real life.A plane geometry is a closed, two-dimensional, or flat, figure. The properties of diverse plane shapes varies, such as the number of sides or corners (or vertices). A corner, also known as the vertex, is where two sides meet. A side is a straight line that forms a portion of the geometry.
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What is the shape of the distribution for the following set of data? x f 5 5 4 3 3 1 2 3 1 5
The shape of the distribution for the following set of data is: symmetrical.
What are distributions?When we study data, one of the major ways to understand it is to think about its general form, such as whether it is symmetrical, has more numbers on one side than the other, or fits a common probability distribution like the normal, binomial, or exponential.
Now,
By looking at how the data are arranged in the table, we can tell that the distribution's form is symmetrical. With 1 item at X=3, it appears that this occurs frequently. The average was calculated using the range of data from X=1 to X=5. In addition, the data contain 5 items at X=5 and X=1, respectively. Both of these occur equally often and at equal intervals from the average. We can also say that there are three items in the data at X=4, three things at X=2, and so on, all of which are equally far from the average. As a result, every piece of data is either averaged out or counterbalanced on the other side of the average. A symmetrical distribution is described here. Therefore, it is neither favorably nor negatively biased. Even though it is symmetrical, the distribution is not normal since a normal distribution contains more data at the average than at the tails, as opposed to fewer.Hence, The shape of the distribution for the following set of data is: symmetrical.
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Boris and Chip are playing a game with number cubes. They roll two cubes and subtract the two numbers. If the difference is 5, Boris wins. If the difference is 4, Chip wins. Is the game fair? Explain.
The computation shows that the game is not fair
How to illustrate the information?It should be noted that the cube had numbers 1 to 6. Therefore, the difference of 4 can be either 6-2 or 5-1 .
On the other hand, the difference of 5 will only be 6-1.
Therefore, this is not fair
In conclusion, the game is not fair.
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Maria paid $240 for a table set after a discount of 40% . What was the original price? Use Scratchpad to show at least one model to solve the problem (e.g., tape diagram, table, double number line diagram, 10×10 grid).
The original price of the table set was $400.
What exactly is a discount?Customers are given discounts by shop owners in order to increase sales. A discount is a rebate or offer created to consumers on the listed price of goods.
A product's list price or marked price is the price proclaimed by the supplier or manufacturer, excluding any price reductions.The selling cost is the real price at which an article is sold after any reductions and discounts in the list price.Discounts are frequently described using words like "off" and "reduction."Now, as per the given question;
The paid price by Maria is $240 called selling price.
The total discount on the table set was 40%.
Let us consider the original price/marked price of the table set was 'x'.
Then the formula for calculating the original price/market price is;
Marked price - discount = selling price
x - 40%of x = 240
x - (40x)/100 = 240
100x - 40x = 24,000
60x = 24,000
x = 400
Therefore, the original price of the table set was $400.
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What's 59.84 ÷ 32 please show work I have test tomorrow
Write the number five million four thousand three hundred in standard form.
Answer:
5,004,300
Step-by-step explanation:
just copy and paste the one on the bottom 5,004,300
Assume you are working with population of n= 16 scores. the sum of all of the scores is equal to 96. what is the population mean?
The population mean of the data is 6.
How to find the population mean?The population has n = 16 scores.
The sum of all of the scores is equal to 96.
Therefore, the population mean can be found as follows:
The population mean is the mean or average of all values in the given population.
The population mean is represented mathematically as follows:
population mean = sum of terms / number of terms
Therefore,
sum of terms = 96
number of terms = 16
Hence,
population mean = = 96 / 16
population mean = 6
Therefore, the population mean of the data is 6.
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(4y+1)x0=0 property
The property represented by the expression is the property of zero.
We are given an expression:
(4 y + 1) × 0 = 0
We need to tell which property is this.
The property that is used is called the property of zero. In this, it states that whenever a number is multiplied by 0, the answer or the result will always be zero.
For example: 3 × 0 = 0, 4 × 0 = 0, M × 0 = 0 or P × 0 = 0.
It does not matter whether a constant or a variable is multiplied with it, the result of the multiplication will always be zero.
Therefore, the property represented by the expression is the property of zero.
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the following data was collected to explore how the average number of hours a student studies per night and the student's gpa affect their act score. the dependent variable is the act score, the first independent variable (x1) is the number of hours spent studying, and the second independent variable (x2) is the student's gpa. effects on act scores study hours gpa act score 6 2 30 4 4 25 3 4 25 2 2 19 1 4 27 step 1 of 2: find the p-value for the regression equation that fits the given data. round your answer to four decimal places.
The p-value is 0.1505 and y is 0.550x1 + 3.600x2 + 7.300.
What is a p-value?A p-value is a statistical measure used to test a hypothesis against actual data. A p-value estimates the likelihood of obtaining the observed results if the null hypothesis is true. The greater the statistical significance of the observed difference, the lower the p-value.So,
Given:
Study Hours GPA ACT Score
5 4 275 2 185 3 181 3 202 4 21Using technology, the P-value from the Fratio:
30.228571 / 8.190476 = 3.69 F = MSregression / MSresidualThe regression equation's P-value is:
Using the Fratio calculator's Value:
F(1, 3), 3.69 = 0.1505Using the P-value method:
At α = 0.01P-value >As a result, we cannot reject H0 and conclude that; there is insufficient evidence to demonstrate that the relationship is statistically significant.
The regression formula:
y = A1x1 + A2x2 +... AnXny = 0.550x1 + 3.600x2 + 7.300The predictor variables are x1 and x2.
y = variable predictedTherefore, the p-value is 0.1505 and y is 0.550x1 + 3.600x2 + 7.300.
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The complete question is given below:
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA affect their ACT score. The dependent variable is the ACT score, the first independent variable (x1)is the number of hours spent studying, and the second independent variable (x2) is the student's GPA
Effects on ACT Scores
Study Hours GPA ACT Score
5 4 27
5 2 18
5 3 18
1 3 20
2 4 21
Step 1 of 2: Find the p-value for the regression equation that fits the given data. Round your answer to four decimal places.
Step 2 of 2: Determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. If the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. Otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
Simplify the ratio 12 to 30.
Find the quotient for -12 ÷ (-3).
a. -9
b. 4
c. -4
Answer:
b. 4
Step-by-step explanation:
A negative number divided by a negative number is a positive number.
Therefore, -12 ÷ -3 = 4.
Find the area of the rhombus
9 in
12 in
A = [?] in?
Answer:
A=54in squared.
Step-by-step explanation:
To answer this you need to know two numbers which in this case is 9 and 12. 12 will be called the Base for now and 9 the height. and they you multiply them together to get 108 but it is like a triangle next you need to half the number so half of 108 is 54.
there are also many different calculators that all you need to do is input the numbers and it will tell you I hope this is helpful to you and that you will get the right answer.