Answer:
Two lines are parallel if and only if they have the same slope.therefore the original line y=1/3x+2
so option 1 is the answer
According to the general equation for conditional probability, if P(A n B') = 2/9 and P(B) = 1/3, what is P( A I B')?
A. 5/6
B. 2/3
C. 1/6
D. 1/3
Answer:
B. 2/3Step-by-step explanation:
Formula:
[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]
Then
[tex]p\left( A|B\right) =\frac{\frac{2}{9} }{\frac{1}{3} } =\frac{2}{9} \times \frac{3}{1}=\frac{6}{9}=\frac{2}{3}[/tex]
Find the missing side of this right triangle.
X
9
22
X = [?]
Enter the number that belongs in the green box.
Answer:
x = sqrt(403)
Step-by-step explanation:
Use Pythagorean Theorem for right triangles
x^2 + 9^2 = 22^2
x = sqrt 403
Estimate the product.
14×212
Triangle XYZ is rotated 90º clockwise about the origin to form triangle X'Y'Z', then reflected across the x-axis to form triangle X''Y''Z''. Which of the following statements is true for ΔXYZ and ΔX''Y''Z''? Question 25 options: ΔXYZ and ΔX''Y''Z'' are similar ΔXYZ and ΔX''Y''Z'' are congruent ΔXYZ and ΔX''Y''Z'' are neither congruent nor similar There isn't enough information given to identify whether ΔXYZ and ΔX''Y''Z'' are similar or congruent
1.ΔXYZ and ΔX''Y''Z'' are similar
2.ΔXYZ and ΔX''Y''Z'' are congruent
3.ΔXYZ and ΔX''Y''Z'' are neither congruent nor similar
4.There isn't enough information given to identify whether ΔXYZ and ΔX''Y''Z'' are similar or congruent
The statement that is true for ΔXYZ and ΔX''Y''Z'' is; 2: ΔXYZ and ΔX''Y''Z'' are congruent
How to identify coordinates of transformed triangles?We are told that;
- Triangle XYZ is rotated 90º clockwise about the origin to form triangle X'Y'Z'.
- Thereafter, reflected across the x-axis to form triangle X''Y''Z''
Now, in transformation, Reflection is flipping an object across a line without changing its size or shape while Rotation is rotating an object about a fixed point without changing its size or shape. Thus, it means that the size and shape of the triangle formed is not different from the original one.
Thus, we can say that both triangles are congruent because the shape and size didn't change.
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Use the following table of Registered Voters at Kensington College, Registered Voters at Kensington College 2009 2010 640 790 Democrats Republicans 960 410 Independents 320 300 11) What is the probability that a voter registered in Kensington College in 2009 was not a Republican?
Step-by-step explanation:
remember, a probability is ultimately always
desired cases / total possible cases
what are the total possible cases for our question here ?
all registered voters in 2009 :
640 + 960 + 320 = 1920
the desired cases (not republican) out of all these 1920 possibilities are
640 + 320 = 960
so, the probability for a registered voter to not be republican was
960 / 1920 = 1/2 = 0.5
Find the surface area of this cube 7m 7m 7m. Be sure to include the correct unit in your answer.
Answer:
294[tex]m^2[/tex]
Step-by-step explanation:
The area of one face of the cube would be 7 x 7 = 49 [tex]m^2[/tex]
Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = [tex]294m^2[/tex]
Select the correct answer. If is modified as , what transformations will be seen in the graph? A. The graph will reflect across the x-axis and then shift units up. B. The graph will reflect across the y-axis and then shift units down. C. The graph will reflect across the x-axis and then shift units to left. D. The graph will reflect across the y-axis and then shift units to right.
The transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.
How to determine the transformation?The missing phrase in the question is: "If f(x) = 2ˣ + 1 is modified as g(x) = 2⁻ˣ + 1 - 5"
The functions are given as:
f(x) = 2ˣ + 1
g(x) = 2⁻ˣ + 1 - 5
First, the function f(x) is reflected across the y-axis (this eliminates options a and c)
The rule of this transformation is
(x,y) ⇒ (-x,y)
So, we have:
f'(x) = 2⁻ˣ + 1
Next, the function f(x) is shifted down by 5 units (this eliminates options d)
The rule of this transformation is
(x,y) ⇒ (x,y - 5)
So, we have:
f''(x) = 2⁻ˣ + 1 - 5
By comparing the functions f"(x) and g(x), we have:
g(x) = f''(x) = 2⁻ˣ + 1 - 5
Hence, the transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.
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If √ 24 + √ 96 7 √600 = y√ 6, find the value of y. -
-6>2x+6 ≤18
graph the inequality
Answer:
y= x + b
-6 > 2x+6- graph a doted line that crosses through -6, and 2 shade below the dotted line going to the negative
18 >< 2x+6 graph a solid line through 18 and 2 and shade everything above the line going positive
have a good day hope this helped
Step-by-step explanation:
is the U.S. ever on sale to canadians?
Answer:
No because Us is powerful country canada is also powerful but U S ever sale to candians
Find the quotient.
7/8 ÷ 2 1/4
WILL GIVE 30 POINTS
Step-by-step explanation:
Hello there!
This is how we solve this problem
7/8 ÷ 2 1/4
[tex] \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} [/tex]
= 7/18
I hope this helps.
Have a nice studies.
Select ALL the correct answers. Let f(t) be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000. Which statements are true for the given function? When f(12) = 2,155, the 12 represents "12 tons of garbage produced," and the 2,155 represents "the year 2155." The independent variable is t. The dependent variable is f(t). The independent variable is f(t). The dependent variable is t. When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced." Reset Next
Using function concepts, it is found that the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."What does the function f(t) represents?It gives the amount of garbage, in tons, produced by a city in t years after 2000.
The amount depends on the number of years, hence:
t is the independent variable.f(t) is the dependent variable.Hence, the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."More can be learned about functions at https://brainly.com/question/25537936
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A circular garden has a circumference of 42.3 feet. Find the approximate diameter of the garden. Use 3.14 for π.
Answer:
13.5
Step-by-step explanation:
c = 2πr
42.3 = 2(3.14)r
42.3 = 6.28r
6.74 = r
d = r + r
d = 6.74 + 6.74
d = 13.5
Fill in the blank.
5 × 5/2 = __ x 1/6
Answer:
25
Step-by-step explanation:
When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....
If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....
What is the measure of angle B in degrees
Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.
This means that by the exterior angle theorem, [tex]m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}[/tex]
( brain + 95 points ) A triangular prism has a height of 10 cm and the triangle has a base of 4 cm and a height of 6 cm. Find the volume of the triangular prism.
Area of base
1/2BH1/2(4)(6)2(6)12cm²Volume
Area of base× height12(10)120cm³Find the area of the sector in terms of pi. 170 6 Area = [?] T
Answer:
see the attachment photo!
Solve
x=4
-7x +y =-22
Answer:
y = 6
Step-by-step explanation:
-7 (4) + y = -22
-28 + y = - 22
+28 + 28
y = 6
Which of the following is an example of a permutation?
The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.
How to solve permutation problems?
Formula for permutation is;
nPr = n!/(n - r)!
Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.
Thus, the correct answer is the number of ways 7 books can be selected from 50.
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anyone who can solve this problem
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Which of the following produces an image that is not congruent to the pre-image?
A. translation
B. dilation
C. rotation
D. reflection
Answer:
Dilation
Step-by-step explanation:
it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Radius:3.14
Circumference: 6.28
Step-by-step explanation:
C=2(pi)(r)
replace r with 1
and you get 6.28
R=(pi)(r)^2
Replace r with 1
multiply and you get 3.14
Which equation is the inverse of 5y+4= (x+3)² + 2?
When Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food court. At the tood court, her favorite restaurant is Wings I Stuff. Each bone-in wing costs $0.35 each and each boneless wing costs 50.45 each. What is the greatest number of each wing that she can purchase with her money?
The computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
How to calculate the value?From the information, Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food.
In this case, he cannot be able to buy boneless wings a it cost $50.45. Therefore, the number of bone in wing that can be bought will be:
= 10/0.35
= 28
Therefore, the computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
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can someone help please
Answer:
2 good scoops
Step-by-step explanation:
I got you I think
Explain how you would use addition to find the product of -2 and 5
choose the symbol for the line XY.
The mathematical symbol for the line XY is XY(a line on top it) . The first option
How to represent a line with a symbol?There are so many mathematical symbols use in geometry. They include ∠(angles), ⊥(perpendicular line), Δ(triangle), ≅(congruency) and many more.
Therefore, the symbol for the line XY is as follows;
XY(a line on top it)
It means line segment "XY"
In words, it is the line segment between X and Y
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The product of 80 and 5,000 is...
Answer: 400,000
Step-by-step explanation:
The product is the result of multiplication. In other words, you would multiply 80×5,000.
I hope this helps!! :)
Two triangles are proportional, and the first triangle has a base of 10 cm and a height of 15 cm. If the base of the second triangle is 12 cm, what is the height of the second triangle?
Answer: b1/b1=h1/h2=10/12=15/h2 so use criss cross and equel to 15×12=10h2 both sides devide by 10 and equel 180/10=18
so h2=18
How do I complete this?
Answer + Step-by-step explanation:
CE bisects AB
CE ⊥ AB
Then
CE is the perpendicular bisector of AB.
Therefore
CA = CB and DA = DB
…………………………………
we have :
CA = CB
DA = DB
CD is a common side of the two triangles ACD and BCD
Hence , ΔACD ≅ ΔBCD
⇒ ∠CAD ≅ ∠CBD.