Find a sequence of similarity transformations
that maps AABC to ADEF. Provide the
coordinate notation for the each
transformation
Answers
Answer:
Reflect of X-axis -> diolate by a factor of 2
Remember to say thanks and mark brainliest
The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2
What is Reflection and Dilation?
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent
Given data ,
Let the triangle be ΔABC
Now , the coordinates of the triangle ABC is given as
A = A ( -4 , 2 )
B = B ( -2 , 4 )
C = C ( 0 , 2 )
And , the triangle be ΔDEF
Now , the coordinates of triangle DEF is given as
D = D ( -8 , -4 )
E = E ( -4 , -8 )
F = F ( 0 , -4 )
Now , on reflecting the triangle ABC along the x-axis , we get
The reflected triangle be A'B'C' will be the reflection of point (x, y) across the x-axis is (x, -y)
So ,
A' = A' ( -4 , -2 )
B' = B' ( -2 , -4 )
C' = C' ( 0 , -2 )
Now , on dilating the triangle A'B'C' with a scale factor of 2 , we get
D = 2 x A'
D = D ( -8 , -4 )
E = 2 x B'
E = E ( -4 , -8 )
F = 2 x C'
F = F ( 0 , -4 )
Therefore , the coordinates of the triangle DEF is
D = D ( -8 , -4 )
E = E ( -4 , -8 )
F = F ( 0 , -4 )
So , the triangle ABC is transformed into triangle DEF by a reflection across x-axis and a dilation by a scale factor of 2.
Hence , The sequence of similarity transformations is Reflection of Triangle ABC across the x-axis and a dilation of Triangle ABC by a scale factor of 2
To learn more about reflection and dilation click :
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Related Questions
NEED HELP ASAP!!! Angles of Elevation and Despression! Need to find y!
Answers
Answer:
Hey there!
We have cosine 61=y/500
cosine 61(500)=242.4 ft.
Let me know if this helps :)
what is the rate of change of the linear function that has a graph that passes through the points (2, 9) and (-1, 3)
Answers
Answer:
Slope= 2
Step-by-step explanation:
Rate of change can simply be called slope
So the rate of change or slope of the linear function that passes through the points (2, 9) and (-1, 3) is
Slope = (y2-y1)/(x2-x1)
Where y2= 3
Y1= 9
X2= -1
X1= 2
Slope = (y2-y1)/(x2-x1)
Slope= (3-9)/(-1-2)
Slope= -6/-3
Slope= 2
Ms. Ironperson and Mr. Thoro are making Avenger posters to give children when they visit Avenger Academy. Ms. Ironperson has completed 12 posters and will complete 6 more per day. Mr. Thoro has not started yet but can make 12 per day. At some point Mr. Thoro will catch up and both will have finished the same number of posters. When this does happen, how many posters will each Avenger have completed? If x denotes the number of days and y denotes the number of posters, what are the equations needed to solve this problem? Group of answer choices
Answers
Answer:
The equations needed to solve this problem are:
y = 12 + 6x
y = 12x
The number of posters completed by each Avenger will be 24.
Step-by-step explanation:
The information provided are:
Ms. Ironperson has completed 12 posters and will complete 6 more per day.
Mr. Thoro has not started yet but can make 12 per day.
The variable x denotes the number of days and y denotes the number of posters.
So, after x day the number of poster completed by Ms. Ironperson will be:
y = 12 + 6x
And after x day the number of poster completed by Mr. Thoro will be:
y = 12x
Thus, the equations needed to solve this problem are:
y = 12 + 6x
y = 12x
Compute the value of x as follows:
12x = 12 + 6x
6x = 12
x = 2
The number of posters completed by each Avenger is:
y = 12x = 12 × 2 = 24
Thus, the number of posters completed by each Avenger will be 24.
Lisa owns a "Random Candy" vending machine, which is a machine that picks a candy out of an assortment in a random fashion. Lisa controls the probability of picking each candy. The machine is running out of "Honey Bunny," so Lisa wants to program it so that the probability of getting a candy other than "Honey Bunny" twice in a row is greater than \dfrac{9}{4} 4 9 start fraction, 9, divided by, 4, end fraction times the probability of getting "Honey Bunny" in one try. Write an inequality that models the situation. Use ppp to represent the probability of getting "Honey Bunny" in one try.
Answers
Answer:
[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]
Step-by-step explanation:
Let the candy "Honey Bunny" be labelled as H and the other candies as X.
It is provided that the machine is running out of "Honey Bunny".
So, Lisa wants to program it so that the probability of getting a candy other than "Honey Bunny" twice in a row is greater than 9/4 times the probability of getting "Honey Bunny" in one try.
Probability of getting a candy other than "Honey Bunny" twice in a row,P (X₁) × P (X₂)
Probability of getting "Honey Bunny" in one try,P (H₁)
The inequality is as follows:
[tex][P(X_{1})\times P (X_{2})]>[\frac{9}{4}\times P (H_{1})][/tex]
Answer:
(1-p)^2>9/4p
Step-by-step explanation:
Can someone show me how to get the answer of -8 - 12 / (-4) step by step?
Answers
Answer:
-5
Step-by-step explanation:
12 ÷ -4 = -3Plug -3 in: -8 - -3Simplify: -8 + 3-8 + 3 = -5Point Mis the midpoint of AB. AM = 3x + 3, and AB= 83 – 6.
What is the length of AM?
Enter your answer in the box.
units
Answers
Answer:
AM= Half of AB
or, 3x+3=(8x-6)/2
or, 6x+6=8x-6
or, 2x=12
Therefore,x=6
so,AM=3*6+3=21
So the units is 21
Answer:
[tex]\Huge \boxed{21}[/tex]
Step-by-step explanation:
AM = 3x + 3
AB = 8x - 6
Point M is the midpoint of AB.
So, AM = AB/2
3x + 3 = (8x - 6)/2
Multiplying both sides by 2.
2(3x + 3) = 8x - 6
Expanding brackets.
6x + 6 = 8x - 6
Subtracting 6x from both sides.
6 = 2x - 6
Adding 6 to both sides.
12 = 2x
Dividing both sides by 2.
6 = x
Let x = 6 for the length of AM.
3(6) + 3
18 + 3
21
3-x=5x+21
A: The solution set is (_) Simplified
B: There is no solution
Pick one and if A then simplify the answer
Answers
Answer:
[tex] \boxed{ \sf{ \bold{- 3}}}[/tex]Step-by-step explanation:
[tex] \sf{3 - x = 5x + 21}[/tex]
Move 5x to left hand side and change it's sign
⇒[tex] \sf{ - x - 5x + 3 = 21}[/tex]
Move 3 to right hand side and change it's sign
⇒[tex] \sf{ - x - 5x = 21 - 3}[/tex]
Collect like terms
⇒[tex] \sf{ - 6x = 21 - 3}[/tex]
Subtract 3 from 21
⇒[tex] \sf{ - 6x = 18}[/tex]
Divide both sides of the equation by -6
⇒[tex] \sf{ \frac{ - 6x}{ - 6} = \frac{18}{-6}} [/tex]
Calculate
⇒[tex] \sf{x = -3}[/tex]
Hope I helped!
Best regards!!
Answer:
x = - 3
Step-by-step explanation:
3 - x = 5x + 21
- x + 3 = 5x + 21
(- x + 3) + (- 3 - 5x) = (5x + 21) + (- 3 - 5x)
(- x + 3) + (- 5x - 3) = (5x + 21) + (- 5x - 3)
- x + 3 - 5x - 3 = 5x + 21 - 5x - 3
- x - 5x + 3 - 3 = 5x - 5x + 21 - 3
- 6x = 18
x = - 18/6
x = - 3
Estimate the cost of painting a homecoming float if the area to be painted is 9 feet by 16 feet and a quart of paint that covers 53 square feet costs $11.99
Answers
Answer:
$32.58
Step-by-step explanation:
The area needed to be painted = 9 feet × 16 feet = 144 ft². The cost of painting a 53 ft² room is a quart of paint which costs $11.99, therefore the quart needed to paint 144 ft² area is:
[tex]Number\ of \ quart=\frac{144\ ft^2}{53\ ft^2} =2.717\ quart\\[/tex]
Since one quart cost $11.99, therefore the cost of 2.717 quart is:
Cost = 2.717 × $11.99 = $32.58
It would cost $32.58 to paint a 9 feet by 16 feet
In a parallelogram ABCD, AB is parallel to CD. Which two sides are opposite sides?
Answers
Answer:
According to the picture you have AD AND BC
Step-by-step explanation:
. A normal population has a mean of 80.0 and a standard deviation of 14.0. a. Compute the probability of a value between 75.0 and 90.0. b. Compute the probability of a value of 75.0 or less. c. Compute the probability of a value between 55.0 and 70.0. 19. Suppose the Internal Revenue Service reported that the mean
Answers
Answer:
a. The probability of a value between 75.0 and 90.0 is 0.40173
b. The probability of a value of 75.0 or less is 0.35942
c. The probability of a value between 55.0 and 70.0 is 0.19712
Step-by-step explanation:
To solve for this we make use of the z score formula.
z = (x-μ)/σ,
where
x = raw score
μ = the population mean
σ = the population standard deviation.
a. Compute the probability of a value between 75.0 and 90.0.
When x = 75
μ =80.0 and σ = 14.0.
z = (x - μ)/σ
z = 75 - 80/ 14
z = -0.35714
z = -0.36 to 2 decimal places
Using the z score table to find the probability
P(x = 75) = P(z = -0.36)
= 0.35942
For x = 90
z = 90 - 80/14
z = 0.71429
z = 0.71 to 2 decimal place
Using the z score table to find the probability
P(x = 90) = P(z = 0.71)
= 0.76115
The probability of a value between 75.0 and 90.0 is:
75 < x < 90
= P( x = 90) - P(x = 75)
= 0.76115 - 0.35942
= 0.40173
Therefore, probability of a value between 75.0 and 90.0 is 0.40173
b. Compute the probability of a value of 75.0 or less.
For x = 75
From the question, we know that
mean of 80.0 and a standard deviation of 14.0.
z = (x - μ)/σ
z = 75 - 80/ 14
z = -0.35714
z = -0.36 approximately to 2 decimal places.
P-value from Z-Table:
P(x ≤ 75) = 0.35942
c. Compute the probability of a value between 55.0 and 70.0.
For x = 55
From the question, we know that
mean of 80.0 and a standard deviation of 14.0.
z = (x - μ)/σ
z = 55 - 80/ 14
z = -1.78571
z = -1.79 approximately to 2 decimal places
Using the z score table to find the probability
P(x = 55) = P(z = -1.79)
= 0.036727
For x = 70
z = 70 - 80/14
z = -0.71429
z = - 0.71 approximately to 2 decimal place.
Using the z score table to find the probability
P(x = 70) = P(z = -0.71)
= 0.23885
The probability of a value between 55.0 and 70.0 is:
55 < x < 70
= P( x = 70) - P(x = 55)
= P( z = -0.71) - P(z = -1.79)
= 0.23885 - 0.03673
= 0.19712
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15 per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute.
Write an expression that represents that monthly bill for x minutes on the EZ Pay Plan.
Answers
Answer:
Ok, the EZ plan can be written as:
C1(x) = $0.15*x
where x is the number of minutes used in the whole Month.
The 40 to Go Plan can be written as:
C2(x) = $0.05*x + $40.
So we have two linear relationships.
The Ez plan has a larger slope, but has no y-intercept.
So we now can find the number of minutes needed to have the exact monthly cost in each plan:
C1(x) = C2(x)
$0.15*x = $0.05*x + $40
($0.15 - $0.05)*x = $40
$0.10*x = $40
x = $40/$0.10 = 400.
So if in one month, you use exactly 400 minutes, you will pay exactly the same wich each plan.
Now, if you speak less than 400 minutes, is better to use the EZ Pay Plan, because it has o y-intercept, and is more efficient for lower values of x.
If you will use more than 400 minutes per month, then the 40 to Go Plan is better, because the slope is smaller.
Geometry: Find the value of X
Answers
Answer:
[tex] x = \sqrt{30} [/tex]
Step-by-step explanation:
BD is the altitude of the right ∆ which divides the hypotenuse to create two line segments, CD, and AD.
According to the right triangle altitude theorem,
[tex] BD = \sqrt{CD*AD} [/tex]
CD = 3, AD = 7, therefore,
[tex] BD = \sqrt{3*7} [/tex]
[tex] BD = \sqrt{21} [/tex]
Find x using Pythagorean theorem
[tex] x^2 = BD^2 + CD^2 [/tex]
[tex] x^2 = (\sqrt{21})^2 + 3^2 [/tex]
[tex] x^2 = 21 + 9 [/tex]
[tex] x^2 = 30 [/tex]
[tex] x = \sqrt{30} [/tex]
lisa goes to school for 7 hours per day works 3 hours per day and sleeps 8 hours per day. what is the ratio of hours lisa works to hours lisa sleeps?
Answers
Answer:
ratio of hours lisa works to hours lisa sleeps= 3:8
Step-by-step explanation:
lisa goes to school for 7 hours per day lisa works 3 hours per day
Lisa sleeps 8 hours per day.
For the ratio of hours lisa works to hours lisa sleeps
ratio of hours lisa works to hours lisa sleeps= hours Lisa works/hours Lisa sleeps
ratio of hours lisa works to hours lisa sleeps= 3/8
ratio of hours lisa works to hours lisa sleeps= 3:8
Each of the sides of a square $S_1$ with area $16$ is bisected, and a smaller square $S_2$ is constructed using the bisection points as vertices. The same process is carried out on S_2 to construct an even smaller square $S_3$. What is the area of $S_3$?
Answers
Answer:
4 sq. units
Step-by-step explanation:
Because the vertices of S₂ are the midpoints of S₁, the area of S₂ will be half of that of S₁ which is 16 / 2 = 8. Similarly, because the same process is carried out on S₂ to make S₃, the area of S₃ is 8 / 2 = 4 sq. units.
Answer:
hope this helps friend
Step-by-step explanation:
A = a^2
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Four less than the
product of 2 and 5
Help pleasss!!!
Answers
Answer:
The answer is 6
Step-by-step explanation:
2 x 5 = 10
10 - 4 = 6
Hope this helps!
Answer:
6
Step-by-step explanation:
2 x 5 = 10
10 - 4 = 6
I hope this helps!
A piece of rope falls out of a hot air
balloon from a height of 5,184 ft. If the
equation for height as a function of time
is h(t) = -16t2 - initial height where t is
time in seconds and h(t) is height in feet,
how many seconds will it take for the
piece of rope to hit the ground?
Answers
==========================================
Explanation:
The equation should be h(t) = -16t^2 + (initial height). If you subtract off the initial height, then you'll have a negative starting height, which is not correct. Try plugging t = 0 into h(t) = -16t^2 - (initial height) and you'll see what I mean.
The initial height is 5184. We want to find the t value when h(t) = 0. So we want to find the time value when the height is 0.
--------------
h(t) = -16t^2 + (initial height)
h(t) = -16t^2 + 5184
0 = -16t^2 + 5184
16t^2 = 5184
t^2 = 5184/16
t^2 = 324
t = sqrt(324)
t = 18
It takes 18 seconds for the rope to hit the ground.
Find the amount of $8000 for 3 years,compounded annually at 5% per annum. Also ,find the compound interest
Answers
Answer:
$9261
$1261
Step-by-step explanation:
Principal: $8000
Interest rate: 5% PA compounded annually
Time: 3 years
Sum = $8000*(1.05)³ = $9261Interest = $9261 - $8000 = $1261Find the product of the complex numbers (-5+ 8i) and (3 - 8i)
Answers
Answer: 49+64i
Step-by-step explanation:
Concept to know:
i=√-1
i²=-1
i³=-i
[tex]i^{4}[/tex]=1
-------------------------------------
(-5+8i)(3-8i)
=-15+40i+24i-64i²
=-15+64i-64i²
=-15+64i+64 (remember, i²=-1)
=49+64i
Hope this helps!! :)
Please let me know if you have any question or need further explanation
A quality control manager is concerned about variability of the net weight of his company’s individual yogurt cups. To check the consistency, he takes a random sample of sixteen 6-ounce yogurt cups and finds the mean of the sampled weights to be 5.85 ounces and the sample standard deviation to be 0.2 ounce. Test the hypotheses H0: µ ≥ 6 Ha: µ < 6 at the 5% level of significance. Assume the population of yogurt-cup net weights is approximately normally distributed. Based on the results of the test, will the manager be satisfied that the company is not under-filling its cups? State the decision rule, the test statistic, and the manager’s decision.
Answers
Answer:
Decision rule : The p-value < [tex]\alpha[/tex] so the null hypothesis is rejected
The test statistics is [tex]t = -2.8[/tex]
The manger will not be manager be satisfied that the company is not under-filling since the company is under-filling its cups
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The sample mean is [tex]\= x = 5.85[/tex]
The standard deviation is [tex]\sigma = 0.2[/tex]
The null hypothesis is [tex]H_o : \mu \ge 6[/tex]
The alternative hypothesis is [tex]H_a : \mu < 6[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{ \= x - \mu }{ \frac{\sigma }{ \sqrt{n} } }[/tex]
=> [tex]t = \frac{ 5.86 - 6 }{ \frac{ 0.2}{ \sqrt{ 16} } }[/tex]
=> [tex]t = -2.8[/tex]
The p-value is obtained from the z-table the value is
[tex]p-value = P(Z < -2.8 ) = 0.0025551[/tex]
[tex]p-value = 0.0025551[/tex]
Given that the [tex]p-value < \alpha[/tex] we reject the null hypothesis
Hence there is sufficient evidence to support the concern of the quality control manager. and the manger will not be satisfied that since the test proof that the company is under-filling its cups
Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would be the radius of Star Wars land?
Answers
Answer:
The answer is 134.29 mStep-by-step explanation:
First of all we need to convert 14.0 acres to m²
1.00 acre = 4046.86 m²
14.0 acres = 14 × 4046.86 = 56656.04 m²
Area of a circle = πr²
where
r is the radius
To find the radius substitute the value for the area into the above formula and solve for the radius
That's
[tex]56656.04 = \pi {r}^{2} [/tex]
Divide both sides by π
We have
[tex] {r}^{2} = \frac{56656.04}{\pi} [/tex]
Find the square root of both sides
[tex]r = \sqrt{ \frac{56656.04}{\pi} } [/tex]
r = 134.29139
r = 134.29 m to 2 decimal places
Hope this helps you
Answer:
we have no way of knowing
Step-by-step explanation:
it could be a jedi mind trick.
Which ordered pairs are in the relation {(x, y) | x > y 1} on the set {1, 2, 3, 4}?
Answers
Answer:
R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }
Step-by-step explanation:
Which ordered pairs are in the relation {(x, y) | x > y + 1} on the set {1, 2, 3, 4}
Assuming that:
R should be the set of real numbers such that:
R = { (x,y) | x > y + 1} on the set {1, 2, 3, 4}
Then:
The ordered pairs for the relation can be computed as:
R = { ( 3 , 1 ) , (4 , 1) , (4 , 2) }
I need help, I'm completely lost
Answers
Answer:
alpha = 2
beta = -6
Step-by-step explanation:
let everything inside the ln be 'a'
use the chain rule to to differentiate ln a with respect to a
since the differentiation of lnx is 1/x , the differentiation of lna will be 1/a
after the differentiation, you will get: [tex]\frac{1}{a}[/tex] X [tex]\frac{d[(x+1)^{2}X (2x-1)^{2} ] }{dx}[/tex]
you need to use the product rule to differentiate the second part, then multiply 1/a by both the equations being added
replace a with its actual value
you will get [tex]\frac{2}{x + 1}[/tex] and [tex]\frac{-6}{2x -1}[/tex]
by comparing it to the given equation, we get α = 2 and β = -6
10. Which relation is a function?
la A (8, -4), (8, 4), (6, -3), (6, 3).
(0,0)
B (4,7), (8,5), (6,4), (5, 3), (4, 2)
C (0,0), (1, 1), (2, 2), (3, 3), (4,7)
D (0,0), (1,0), (1, 1), (2, 1), (1, 2)
Answers
Answer:
C. Why? No repeating x values.
2) In the Tour de France, cyclists ride 3,653.6 km in 20 days. How many miles do they go per day?
Answers
Answer:
The answer is 182.68 kmStep-by-step explanation:
To solve this question we use ratio and proportion
If in 20 days they ride 3,653.6 km , then
in 1 day they will ride [tex] \frac{3653.6 \times 1}{20} [/tex]
We have the final answer as
182.68 kmHope this helps you
Convert the following to slope-intercept form.
4x + 3y = 24
Answers
Answer:
y = -4/3x +8
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
4x+3y = 24
Subtract 4x from each side
3y = -4x+24
Divide each side by 3
y = -4/3x +24/3
y = -4/3x +8
Answer: y = -4/3x +8
which symbol will make |-8|?|-10|
>
<
=
which property is shown by 4+(5+6)=(4+5)+6?
commutative property of addition
distributive property
additive Indentity
associative property of addition
Answers
Answer:
[tex]|-8|<|-10| \Longleftrightarrow 8 < 10[/tex]
[tex]\text{Which property is shown by } 4+(5+6)=(4+5)+6?[/tex]
[tex]\text{It is the associative property of addition}[/tex]
You can group the addends in any combination and it won't change the result.
(Math question incoming) Are the Polynomials in standard form(Yes or No?) Identify the name of each Polynomial. Identify the leading coefficient. Identify the degree.
Answers
Standard polynomial form means that the terms are arranged from highest to lowest degree.
The leading coefficient is the number before the highest degree.
The degree of the polynomial is the power of the variable attached to the leading coefficient.
1) This is not in standard polynomial form.
The leading coefficient is -1.
This is a second-degree polynomial.
2) This is in standard polynomial form.
The leading coefficient is 3.
This is a fourth-degree polynomial.
3) This is not in standard polynomial form.
The leading coefficient is 3.
This is a fifth-degree polynomial.
4) This is in standard polynomial form.
The leading coefficient is -4.
This is a fifth-degree polynomial.
5) This is not in standard polynomial form.
The leading coefficient is -5.
This is a third-degree polynomial.
6) This is not in standard polynomial form.
The leading coefficient is -1.
This is a sixth-degree polynomial.
7) This is in standard polynomial form.
The leading coefficient is 2.
This is a second-degree polynomial.
8) This is in standard polynomial form.
The leading coefficient is 1.
This is a second-degree polynomial.
9) This is in standard polynomial form.
The leading coefficient is 1.
This is a third-degree polynomial.
10) This is not in standard polynomial form.
The leading coefficient is 6.
This is a fourth-degree polynomial.
All of the following expressions are equivalent except.___ 2+m m+2 m-(-2) -2-m
Answers
Answer:
[tex]\Huge \boxed{-2-m}[/tex]
Step-by-step explanation:
2 + m
Rewrite with variable first.
m + 2
m + 2
Can’t be simplified further.
m - (-2)
Distribute negative sign.
m + 2
-2-m
Rewrite with variable first.
-m - 2
The last expression is not equivalent to m+2.
Which statement is true? Step by step.
Answers
Answer:
I believe the answer is A.
Step-by-step explanation:
If there are 13 daises per bouquet, that means one bouquet is all daises. The other bouquet has 30 flowers. 30-13 is 17 which means there are 17 other flowers rather than daises. 17 is greater than 13 by 4 which is not that much. Therefore I think the answer is letter A.
Answer:
The correct answer is A. The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from bouquet T.
Step-by-step explanation:
We are told that Bouquet S contains 30 flowers and 13 of those flowers are daisies. Therefore, the probability of selecting a daisy from Bouquet S can be modeled by:
13/30, which is greater than 1/3 but less than 1/2
We are also told that Bouquet T contains 13 flowers and 13 daises. From this information, we can conclude that all of the flowers in Bouquet T are daises, or the probability can be modeled by:
13/13 = 1
Therefore, because the probability of selecting a daisy from Bouquet S is 13/30 and the probability of selecting a daisy from Bouquet T is 1, we can conclude that, as option A states, the probability of selecting a daisy from Bouquet S is less than the probability of selecting a daisy from Bouquet T.
Hope this helps!
Consider the linear equation, 2.5n + 5.2 = 35.2.
What property will be used to complete the first step in solving for n?
Answers
Answer:
Subtraction Property of Equality
Step-by-step explanation:
When solving an equation for a variable (in this case n), we want to move all of the n-terms to 1 side and the non-n terms to the other side. To do this, we can subtract 5.2 from both sides to leave 2.5n by itself. The property we used to do this is the Subtraction Property of Equality which states that if you subtract a quantity from one side of an equation, you must also subtract that same quantity from the other side of the equation.
Answer: A is the right one
Step-by-step explanation:
Consider the linear equation, 2.5n + 5.2 = 35.2.
What property will be used to complete the first step in solving for n?
subtraction property of equality
multiplication property of equality
division property of equality
distributive property