Answers
The scale factor of the the larger triangle to the smaller triangle is: 3.25.
How to Calculate a Scale Factor of a Dilation?When a figure is dilated, the figure is enlarged or reduced. The scale factor is calculated as: dimension of the new figure / corresponding dimension of the old figure.
Find the scale factor of the larger triangle to the smaller triangle:
One dimension of the larger triangle = 13
Corresponding dimension of the smaller triangle = 4
Scale factor of the dilation = 13/4
Scale factor of the dilation = 3.25
Therefore, the scale factor of the the larger triangle to the smaller triangle is: 3.25.
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Related Questions
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
Answers
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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If y varies inversely as x cubed, and y = 12 when x = 5, find the value of y when x = 2.
Answers
Answer:
187.5
Step-by-step explanation:
[tex]\sf {If \; y \; varies \; inversely \; as \; x^3\; represented \; by\; y\propto \dfrac{1}{x^3}} \\then\\y = \dfrac{k}{x^3}\; where\; k \;is\; a \;constant\\\\== > k = y\cdot x^3\\\\When y = 12, x = 5 \;means\\\\k = 12.\cdot 5^3 = 12 \cdot 125 = 1500\\\\\sfTherefore \;when\; x = 2\\y = \dfrac{1500}{2^3} = \dfrac{1500}{8} = 187.5\\\\\sf Answer:\;\; \boxed {\sf y = 187.5\; \sf when\; x = 2}[/tex]
if two groups of numbers have the same mean, then group of answer choices their standard deviations must also be equal. their medians must also be equal. their modes must also be equal. other measures of location need not be the same.
Answers
The correct answer is other measures of location need not be the same.
What is mean, mode, median and standard deviation?
When the group of numbers have the same mean then the other measures of location need not be the same. That means the standard deviation, median and mode should not be equal. All three widely used parameters that are mean, mode, median and standard deviation are the measure of central tendency.
If the given data has no outlier then mean value and the median value are closer to each other but the mode value is different. Similarly, standard deviation is calculated for the dispersion data. And it means when mean value is same then standard deviation will be different for a group of numbers.
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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.
Answers
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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What is the scale factor of the dilation of figure A to figure B?
a. 2/3
b. 3/2
c. 2
d. 3
Answers
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).
Answers
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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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?
Answers
so if you take 60 by x and The sides of an octagon which is 8 you should have your answer
-(10 + (-6))
-((-55) + 1
-2
Answers
Answer:
52
Step-by-step explanation:
-(10 + (-6)) - ((-55) + 1 - 2)
(-10 + 6) + (55 - 1 + 2)
(-4) + (56) = 52
I hope this helps!
recall that the distance between a point and the xz-plane is the absolute value of its ? -coordinate.
Answers
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 integer does 408 need to be divided by to equal -24?
Answers
ILL GIVE BRAINLIEST!!!!!
Answers
Answer: 24
Step-by-step explanation:
t=seconds. h=height
t=3
h=3+55t-16t^2
h=3+55(3)-16(3)^2
h=3+165-16*9
h=168-144
h=24 ft
The ball's height 3 seconds after it was kicked is 24 feet above the ground.
Given that a formula h = 3 + 55t-16t² describes a ball's height above the ground h, which has been kicked vertically upward from a height of 3 feet with an initial speed of 55 feet per second.
We need to find the height of the ball after 3 seconds.
To find the ball's height 3 seconds after it was kicked, we can use the formula provided:
h = 3 + 55t - 16t²
where h represents the height in feet and t represents the time in seconds.
To find the height after 3 seconds (t = 3), plug the value into the formula and calculate:
h = 3 + 55(3) - 16(3)²
Now, perform the calculations step by step:
h = 3 + 55(3) - 16(9)
h = 3 + 165 - 144
h = 24 feet
Hence the required height is 24 feet.
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Solve inequality.
-2 w<24
Answers
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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if a circle passe though point (-4,2) and is tangent to the x-axis at (2,0), determine the coordinates of its center.
Answers
The centre is at (2, 10).
Step-by-step explanation:
(x - a)^2 + (y - b)^2 = r^2 is a circle with radius r and centre(a, b).
It passes through the points (-4, 2) and (2, 0), therefore:-
(-4 - a)^2 + (2 - b)^2 = r^2 and
(2 - a)^2 + (-b)^2 = r^2
Now the x coordinate (a) of the centre is 2 (because of the tangent at (2, 0)
So, the equations become:
6^2 + (2 - b)^2 = r^2
b^2 = r^2
--> 36 + (2 -b )^2 -b^2 = 0
--> 36 + 4 + b^2 - 4b - b^2 = 0
--> 4b = 40
--> b = 10.
So the centre is (2, 10).
Eric teaches ceramics in his studio.he estimates that one out of every five people who call for information about a class will sign up for the class.last week he receive nine calls.find the probability that four or fewer of the people who called will sign up for a class
Answers
The probability that four or fewer of the people who called will sign up for a class = 0.9805
For given question,
Eric estimates that one out of every five people who call for information about a class will sign up for the class.
Last week he receive nine calls.
We need to find the probability that four or fewer of the people who called will sign up for a class.
Total number of calls = 9
⇒ n = 9
Since one out of every five people who call for information about a class will sign up for the class.
the probability of success (p) = 1/5
= 0.2
and the probability of failure (q) = 1 - p
= 1 - 0.2
= 0.8
To find the probability that four or fewer of the people who called will sign up for a class.
So, x would take values 0, 1, 2, 3, 4
Using Binomial principal,
For x = 0,
[tex]P(x=0)= ~^9C_0(0.2)^0(0.8)^{9-0}\\\\P(x=0)=0.13422[/tex]
For x = 1,
[tex]P(x=1)= ~^9C_1(0.2)^1(0.8)^{9-1}\\\\P(x=1)=0.30199[/tex]
For x = 2,
[tex]P(x=2)= ~^9C_2(0.2)^2(0.8)^{9-2}\\\\P(x=2)=0.30199[/tex]
For x = 3,
[tex]P(x=3)= ~^9C_3(0.2)^3(0.8)^{9-3}\\\\P(x=3)=0.17616[/tex]
For x = 4,
[tex]P(x=4)= ~^9C_4(0.2)^4(0.8)^{9-4}\\\\P(x=4)=0.06606[/tex]
So, the required probability would be,
P = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)
P = 0.1342 + 0.3020 + 0.3020 + 0.1762 + 0.0661
P = 0.9805
Therefore, the probability that four or fewer of the people who called will sign up for a class = 0.9805
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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.
Answers
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.
What is 82 + −71? 153 11 −11 −153
Answers
Answer:
82 + -71 = 10
Hope this helps! <3
What's 59.84 ÷ 32 please show work I have test tomorrow
Answers
1. You have to start of by solving using long division.
2. First big number inside
3. Second Small outside
4. Figure out how many times the smaller number goes into the big number
5. Subtract (in this case 32 from 59)
6. Bring down other number ( do not include decimal when bringing down)
7. Done!
Solve for a
11 = -3/10a + 2
Answers
Answer:
a = -30
Step-by-step explanation:
In order to solve for a in the equation [tex]\sf 11 = \dfrac{-3}{10} a + 2[/tex], we can follow these steps:
Subtract 2 from both sides of the equation:
[tex]\sf 11 -2= \dfrac{-3}{10} a + 2-2[/tex]
[tex]\sf 9 = \dfrac{-3}{10} a[/tex]
Multiply both sides of the equation by [tex]\sf -\dfrac{10}{3}[/tex]:
[tex]\sf 9 *-\dfrac{10}{3}= \dfrac{-3}{10} a*-\dfrac{10}{3}[/tex]
-30 = a
Therefore, the solution to the equation 11 a + 2[tex]\sf \dfrac{-3}{10} a + 2[/tex] is a = -30.
I need mathematical help asap
X-2x+3=3-x
Answers
Answer:
0 = 0
Step-by-step explanation:
Combine like terms: combine x and -2.
rearrange the terms on left side.
subtract 3 from both sides.
simplify (subtract -x and x)
0=0
Jayden's mass is 185kg, what is his weight?
Answers
Answer:
1814.85 N
Step-by-step explanation:
Weight = mass * acceleration of gravity
Jayden's weight = 185 * 9.81 = 1814.85 N
Find the x-intercept of the graph of y = x -2.
x-intercept:(,0)
Answers
4(u 1) - 1 = 2(2u - 3)
Answers
Answer:
4u+4-1=4u-6
4u+3=4u-6
4u+9=4u
9 I think
Step-by-step explanation:
Can anybody help!!!??? Pls
Answers
Answer:
thanks for the points x
Step-by-step explanation:
thanks
Tom does not really want to give away blue marbles and would like to change the probability that he chooses a blue marble to 1/10. How many marbles that are not blue could he add to the bag so that the probability of choosing a blue marble becomes 1/10?
Answers
Answer:
9
Step-by-step explanation:
if one marble is blue and 9 are other colors than its a 1/10 chance of getting a blue marble
i just need help asap please
Answers
Answer:
wsg
Step-by-step explanation:
Answer:
Step-by-step explanation:
need help on what
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?
Answers
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
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.
Answers
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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Please help i will give out brainlist
Answers
1) The converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"
2) The inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"
3) The contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"
How to Interpret Conditional Statements?1) The converse of a statement is formed by switching the hypothesis and the conclusion. The converse of "If two lines don't intersect, then they are parallel" is "If two lines are parallel, then they don't intersect." Thus, the converse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you do not like sea food, then you will go to an Italian restaurant"
2) The inverse of a conditional statement is when both the hypothesis and conclusion are negated. Thus, the inverse of "If you do no go to an Italian restaurant, then you like sea food" is; "If you go to an Italian restaurant, then you don't like sea food"
3) The contrapositive of a conditional statement is to interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain.". Thus, the contrapositive of "If you do no go to an Italian restaurant, then you like sea food" is; If you do not like sea food, then you will go to an Italian Restaurant"
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I need help with number 3
Answers
answer:
it has a solution
Find the quotient for -12 ÷ (-3).
a. -9
b. 4
c. -4
Answers
Answer:
b. 4
Step-by-step explanation:
A negative number divided by a negative number is a positive number.
Therefore, -12 ÷ -3 = 4.