Answer:
[tex]\dfrac{16}{225}[/tex].
Step-by-step explanation:
It is given that,
Number of red markers = 3
Number of blue markers = 5
Number of yellow markers = 3
Number of black markers = 4
Total markers = 3 + 5 + 3 + 4 = 15
Probability of getting a black marker is
[tex]P(Black)=\dfrac{\text{Number of black markers}}{\text{Total markers}}[/tex]
[tex]P(Black)=\dfrac{4}{15}[/tex]
Probability of choosing two black markers if the first marker is put back before the second is drawn, is
Required probability [tex]=P(Black)\times P(Black)[/tex]
[tex]=\dfrac{4}{15}\times \dfrac{4}{15}[/tex]
[tex]=\dfrac{16}{225}[/tex]
Therefore, the probability of choosing two black markers if the first marker is put back before the second is drawn, is [tex]\dfrac{16}{225}[/tex].
A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)
Answer:
second option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.
Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
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am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
Hey guys help me find x and measure of angle pleasee
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
help will give brainliest
Answer:
C. (-5, -7)
Step-by-step explanation:
This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!
PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!
Answer:
Ans is C(-5, -7)
Step-by-step explanation:
We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative
Find the equation of the line
Answer:
y= 2x +12
Step-by-step explanation:
Given:
line y= 2x -7the point (-3. 6)The line parallel to the given has the same slope of 2, let's find the intercept using the given point:
y= 2x+b6= 2*(-3)+bb= 6+6= 12So the equation is:
y= 2x +12ΔHFG is dilated by a scale factor of 2 with the center of dilation at point F. Then, it is reflected over line a to create ΔEFI. Based on these transformations, which statement is true? Line segments EG and HI intersect at point F, forming triangles EFI and HFG. Line a intersects with both triangles at point F. segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI segment FG = segment FI, segment FH = segment FE, and segment HG = segment EI; ΔHFG ~ ΔEFI segment FG = one half segment FE, segment FH = one half segment FI, and segment HG = one halfsegment EI; ΔHFG ~ ΔIFE segment FG = segment FE, segment FH = segment FI and segment HG = segment EI; ΔHFG ~ ΔIFE
Answer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FIFH = 1/2*FEHG = 1/2*EIAnswer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FI
FH = 1/2*FE
HG = 1/2*EI
This answer is right! took the test on FLVS and confirmed it :)
What is the domain of this function
Answer:
Domain { -1,3,5}
Step-by-step explanation:
The domain is the input to the function
Domain { -1,3,5}
You work summer construction, and your hours may vary depending on the weather. The following table provides the number of hours you worked each day for the past week. On average, how many hours did you work per day? Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Hours 5.5 12 9.5 11 7 10 8 8 9 10.5 12.6 63
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
of the methods for solving systems of equations, which is the least accurate and may only give an approximate answer?
a. Graphing
b. Substitution
c. Elimination
d. None, they are all exact.
Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
What is the system of equations?A system of equations is made up of two or more equations that are solved at the same time.
What are the different ways of solving systems of equations?There are three ways to solve a system of equations:
Graphing: All equations are graphed and the point of intersections are the solutions for the system of equations.Substitution: One variable is isolated in one equation, and its value is substituted in the other equation to solve the system of equations.Elimination: Operations are done on all equations to eliminate one variable and then solve for the system of equations.How to solve the question?In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.
We have discussed all methods above.
Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.
Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
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the layer of gold coating on a ring should be 0.03 mm thick when the ring is completed. a coating of 0.021 mm has already been applied. how many more mm of gold coating must be added to finish the ring ?
Answer:
0.009 mm
Step-by-step explanation:
Find the difference between the two values.
0.03 - 0.021
0.009 mm more gold coating must be added to finish the ring.
Convert the fraction 19/20 into a decimal
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction
Answer:
15/163
Step-by-step explanation: I dont have one
Answer:
i think its D
Step-by-step explanation:
when f(x)=-3 what is x
Step-by-step explanation:
i think the answer is -3 only
Find the domain for the rational function:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?
Answer:
22
Step-by-step explanation:
In this sequence, the next number is found by adding 4.
Answer:
22
Step-by-step explanation:
10 - 6 = 4
so, all next numbers have to be added by 4
I need help asap! Please I don't remember anything from Geometry and this is supposed to be for an Algebra 2 course!!
Answer:
Answer A is the first step
Step-by-step explanation:
Normally, to prove an identity, you start by writing all trig expressions in their most simple forms using the two basic trig functions sin and cos. That is done in option A, with writes tan and cot in terms of sin and cos.
Please help with this
Answer:
I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)
Which of the following is a unit of measurement used in the apothecary system?
A. Meter
B. Micrograms
C. Liters
D. Drams
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
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What is the distance, in units, from J=(8,−9) to the x-axis?
Enter your answer as a number, like this: 42
Answer:
9
Step-by-step explanation:
The distance from the x axis is from the point (8,0)
d = sqrt( (8-8)^2 + (-9-0)^2)
= sqrt(0+ 81)
= sqrt( 81)
=9
Answer:
8
Step-by-step explanation:
8 is how far away it is in square units from the x-axis and the 7 is how far it is from the y-axis
Hope this helps
The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the slope of the function? a. -6 b. -4 c. 4 d. 6
Answer: A
Slope = -6
Step-by-step explanation:
Given that the column of the table are:
Column X (-2,-1,0,1,2) and
Column Y (8,2,-4,-10,-16)
Since the table represent a linear function, the equation of the function will obey the general linear equation
Y = MX + C
Where M = slope
M = ( Y2 - Y1 ) / ( X2 - X1 )
Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1
Substitutes all the parameters into the formula
M = ( 2 - 8 )/( -1 - - 2 )
M = ( 2 - 8 ) / ( -1 + 2 )
M = -6/1
M = -6
Therefore, the slope of the function is -6
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
Help plz with this question. Needed fast. I will mark brainliest.
Answer:
≈ 68.2°
Step-by-step explanation:
tan X= 20/8
tan X= 2.5
x= tan ⁻¹ 2.5
x ≈ 68.2°
Answer:
Step-by-step explanation:
To find the size of YXZ we should use some trigonometry but first let's find the length of YZ
The Pythagorian theorem :(XZ)²+(ZY)²=(YX)²
YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]
=4[tex]\sqrt{29}[/tex]
We khow that sin(YXZ)=(YZ)/(YX) = 20/(4[tex]\sqrt{29}[/tex]) = 5/[tex]\sqrt{29}[/tex]using a calculator we get (YXZ)= 68°
Find the area ratio of a cube with volume 125m3 to a cube with volume 64m3.
Answer:
25:16
Step-by-step explanation:
i think its right
When Reshard was born, his uncle bought him a $200 savings bond. When Reshard turns 20 years old, the bond will have earned 130% interest. How much will the bond be worth when Reshard turns 20?
Answer: 260
Step-by-step explanation: When we 200 times 130% we will get 260.
Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions
8
Do not write
outside the
box
9
A company sells houses
The line graph shows the number sold per week for 30 weeks.
Houses sold
9
8
7
Number 6
of weeks 5
4
3
2
1
0
0
5
1 2 3 4
Number of houses
9 (a)
Work out the range of the number of houses sold per week.
[2 marks]
Why am I just finding this?
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.