Answer:
[tex]\frac{5}{143}[/tex] chance
Step-by-step explanation:
Chance of getting yellow first time: [tex]\frac{2}{13}[/tex]
Chance of getting green without replacement from yellow: [tex]\frac{5}{12}[/tex]
Chance of getting red without any replacement: [tex]\frac{6}{11}[/tex]
[tex]\frac{2}{13} *\frac{5}{12} *\frac{6}{11} =\frac{60}{1716} =\frac{10}{286} =\frac{5}{143}[/tex]
write an equation of the line that passes through the point (4,7) that is parallel to the line y = 3x+1
Explanation:
The given line y = 3x+1 has a slope of 3 as it is in the form y = mx+b
Any line parallel to this given line will also have a slope of 3. Parallel lines have equal slopes but different y intercepts.
Using m = 3 and (x,y) = (4,7), find the value of b
y = mx+b
7 = 3*4+b
7 = 12+b
12+b = 7
b = 7-12
b = -5
We have y = mx+b update to y = 3x+(-5) or y = 3x-5
Plug in x = 4 and you'll have y = 3x-5 turn into y = 7.
Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values
Answer:
D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)
Step-by-step explanation:
See attachment for the figure.
For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).
For C'', rotating the point (1, 3) 90° clockwise. This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).
For A''', rotating the point (-4, 2) 180° clockwise. This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).
For B'', rotating the point (-2, 4) 270° counterclockwise. This is the similar as rotating the point 90° clockwise. This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).
A student got 78 marks out of a possible 120. Express the students mark as a percentage
The student's mark can be expressed as 65%.
To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.
In this case, the student got 78 marks out of a possible 120.
Percentage = (Marks Obtained / Possible Marks) * 100
Percentage = (78 / 120) x 100
Percentage = 0.65 x 100
Percentage = 65%
Therefore, the student's mark can be expressed as 65%.
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John assignments in value of his car overtime the equation for the line of best fit is approximate as Y represents 2.9 X +17.7 where y represents the value in thousands of dollars what values complete the Residual table
Answer:
For the given equation of the line of best fit, the values that complete the table are as follows
An equation for a line of best fit follows the same guidelines as a linear function where 'y' represents the total (value), 'x' represents time (years), -2.9 is the rate, and 17.7 is the starting value. The table indicates that for any year, there is a given value, but what we are solving for is the predicted value. The residual is the different between the given and predicted values. So, for 'a', we need to solve for the 'y' in our equation by replacing 'x' with '1', multiplying by -2.9 and adding 17.7. This gives us 14.8. For 'b', we simply need to subtract the given and predicted values to get a residual of 0.1. For 'c', we again solve for 'y' by replacing 'x' with '3' in our given equation to get 9. And, for 'd' we subtract the given value of 5 and the predicted value of 6.1 to get 1.1.
answer-
a = 14.8
b = 0.1
c = 9
d = -1.1
The answer you seek is
answer-
a = 14.8
b = 0.1
c = 9
d = -1.1
If k ∈ A ∩ B, which is the most specific location of k on the Venn diagram? I II III IV
Answer:
B) ||
Step-by-step explanation:
saw this on another page and noticed the right answer was missing here
The location of k in Venn diagram is in II region.
What is Venn Diagram?A Venn diagram is a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not. Venn diagrams are useful for showing how two concepts are related and different visually.
We have,
k ∈ A ∩ B means k is an element of both A and B.
The region I is or A only and the region I|I is only B.
and, the region II is for those whose share A and B.
Also, zone II is in between zone I and zone III which is both.
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Find the exact value of cot (theta) for an angle (theta) with sin (theta)= -1/6 and with its terminal side in Quadrant III.
Answer:
cotθ = √35 = 5.91
Step-by-step explanation:
Explanation:-
Given sin(θ) = -1/6
[tex]cosec(theta) = \frac{1}{sin(theta)} = \frac{1}{\frac{-1}{6} } = -6[/tex]
We will use trigonometric formula
co sec ²θ -cot²θ =1
cot ² θ = co sec ²θ - 1
cot ² θ = (-6)² -1 = 36 -1 =35
cotθ = √35 = 5.91
Given' θ' is Quadrant III.
In third quadrant cotθ and tanθ are positive
cotθ = √35 = 5.91
Help ya girl out please
Jen buys 4 tires for $272.
What is the cost of 1 tire?
Divide the total cost by 4:
272 / 4 = 68
It cost $68 for 1 tire
Answer:
68
Step-by-step explanation:
272/4=68
To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?
Answer:
31.42
Step-by-step explanation:
I think that's right. Hopefully it is.
write a story pleasee marking brainiest!
Answer:
2. a^3+2^3=24
1. Jack has 24 pieces of candy and divided them into groups of 3. He put 2 pieces in each group. How many more are in each group?
Step-by-step explanation:
im not sure if this is correct but i tried sorry.
help me cos I give brainliest so good look image below
Answer:
fx
2.542809140.5sum of (fx)= 214
mean = £fx/ N
N=100
mean= 214÷100
mean = 2.14
what is the answer ?
Answer:
-3x and -6x
Step-by-step explanation:
just multiply
Jada is visiting new york city to see the empire state building she is 100 feet away when sge spots it.To see the top she has to look up at an angle of 86.2 dehrees how tall is the empire state building
Answer:
Height of the empire building = 1505.57 ft
Step-by-step explanation:
Jada is visiting new York city to see the empire state building . She is 100 ft away when the she spots it. To see the top she has to look at an angle of 86.2° . The illustration forms a right angle triangle.
The height of the empire can be gotten below.
the adjacent side of the triangle formed = 100 ft
The side we are looking for is the opposite side which is the height of the empire state building. The angle formed is the angle of elevation from the ground to the top which is 86.2°
Using SOHCAHTOA principle the height can be gotten with the tangential degree.
tan 86.2° = opposite/adjacent
tan 86.2° = a/100
a = 100 tan 86.2
a = 100 × 15.0557227245
a = 1505.57227245
a ≈ 1505.57 ft
Height of the empire building = 1505.57 ft
Algebra sucks help me
Answer:
The answer would be D
Step-by-step explanation:
It is the only one that makes sense ;-;
(hope this is correct)
Write a number in the blank to make the statement true.
Flora the giraffe weighs 2670 pounds.
Last year Flora weighed 2340 pounds.
Flora has gained
ao
pounds since last year.
Answer: 330 pounds
Step-by-step explanation:
An online clothing store is offering free shipping on orders over $75 you want to purchase t shirt for $9.85 and a pair of pants for$56.00 the shipping on this order will be 20% of the total should you purchase a second t shirt? Explain your answer
Answer:
Buy Two tshirts and a pair of pants....
Step-by-step explanation:
Total purchase -
$9.85 + $56.00 = $65.85
Shipping charges is 20% -
65.85 * 0.2 = 13.17
Total (including shipping) = $79.02
If you purchace two t shirts and a pair of pants then you dont have to pay for the shipping therefore,
Total purchase will be -
$9.85 + $56.00 + $9.85 = $75.70
Puchasing 2 tshirts will be $3.32 cheaper....
Answer:
You should buy a second t-shirt.
Step-by-step explanation:
The total without shipping comes out to $65.85. Add the 20% shipping by multiplying .20 by the total, $65.85, and you get $65.85 plus $13.17, the total being $79.02. Now, if you added another shirt for $9.85, your total comes out to $75.70, which barely qualifies for free shipping. In other words, yes, you should purchase a second shirt because you would actually save money, almost $4.
a. How long is 50% of 60 minutes?
Answer:
30 mn
Step-by-step explanation:
You need to calculate :
60 × 50% = 60×(50÷100)
=3000÷100
= 30
6.4 m
12m
12.5 m
rectangular prism
Answer:
Volume: 9500 m^3
Step-by-step explanation:
6.4 * 12 = 76.8
76.8 * 12.5 = 9500
3,024 divided by 336
Answer:
your answer would be 9. hope this helps!
Answer:
-Dividing 3,024 by 336 would give you 9:
[tex]3,024 \div 336 = 9[/tex]
compute: (3.5· 2/7 − 2/3 )÷16
Answer:
≅ 0.02083333
Step-by-step explanation:
(3.5 * 2/7 - 2/3)÷16 = 1
48
≅ 0.02083333
1: Conversion a decimal number to a fraction: 3.5
2: Multiple: 3.5 * 2
7
= 7 · 2
2 · 7
= 14
14
= 1 · 14
1 · 14
= 1
3: Subtract:
4: Divide
Hope this helps.
1/48 is the value of (3.5· 2/7 − 2/3 )÷16.
What is Expression?An expression is combination of variables, numbers and operators.
(3.5 × 2/7 − 2/3 )÷16
Three point five times of two by seven minus two by three divided by sixteen.
Three point five times of two is 2 is seven
(7/7-2/3)÷16
(1-2/3)÷16
(1/3)÷16
1/3×1/16
1/48
Hence, 1/48 is the value of (3.5· 2/7 − 2/3 )÷16.
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15 POINTS + BRAINLIEST
true or false box plot question
Answer:
I believe both are true
Step-by-step explanation:
Answer:
a) false
b) true
Step-by-step explanation:
25% people spent between 10 and 35
The box shows that 50% of the people spent 10 - 40
what is the relationship between the base of an exponential function and its rate of growth?
Answer:
growth rate is the number of times the base repeats
Step-by-step explanation:
We have that the general form of the exponential function is of the type:
f (x) = a ^ x
where "a" is the base and "x" is the exponent.
Therefore, the relation they keep to this exponent would be the growth rate since it is the number of times that the base is repeated, which means that the higher "x" is, the more times "a" is repeated.
The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.
Exponential functionThe standard exponential function is expressed as y = ab^x
where:
a is the y-interceptb is the ratex is the time taken.The base of the function "a" is the point where the exponential curve cuts the y-axis while the value of "b" determines the rate of a growth rate pf decline rate.
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Classify the triangle by its sides and then by its angle
Answer:
equilateral right triangle
Step-by-step explanation:
7^2+7^2=c^2
49+49=c^2
c^2=98
c=10
Therefore, equilateral right triangle
Simplify cos[arccsc((2√3)/3)].
Answer:
1/2Step-by-step explanation:
Given the expression cos[arccsc((2√3)/3)]
let y = arccsc((2√3)/3)
Taking cosec of both sides we have;
cosecy = cosec[arccsc((2√3)/3)]
cosecy = (2√3)/3
1/siny = (2√3)/3
sin y = 3/2√3
Rationalizing 3/2√3
= 3/2√3 *√3/√3
= 3√3/2*3
= 3√3/6
= √3/2
siny = √3/2
y = arcsin(√3/2)
y = 60°
Since y = arccsc((2√3)/3) = 60°
cos[ arccsc((2√3)/3)] = cos60°
cos60° = 1/2
Answer:
It is 1/2
Step-by-step explanation:
PLEASE HELP ASAP, EXTRA POINTS, CORRECT ANSWER ONLY!
Mr. Green tells you that a right angle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. Whats is your answer??
Answer:
Length of leg ⇒ 12
Step-by-step explanation:
Knowing this is a right angle triangle, let us apply Pythagorean Theorem to solve for the length of this other leg, which we can assign as x;
x^2 + 5^2 = 13^2 ⇒ square 5 and 13,
x^2 + 25 = 169 ⇒ subtract 25 from either side of equation,
x^2 = 144 ⇒ Take square root on either side,
Solution; Length of leg ⇒ 12
A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh
Answer: 1.6 meters deep
Step-by-step explanation:
LxWxH
10x4.5 = 45
45x1.6 = 72
Answer:
[tex]1.6m[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .
Step 1) Divide the figure into separate shapes
Long rectangle: 27 x 5
Triangle: 3 x 4
Middle rectangle: 15 x 7
Small rectangle: 6 x 3
Step 2) Find the area of each shape
Long rectangle: A = 27 x 5 = 135
Triangle: A = 1/2 x 3 x 4 = 6
Middle rectangle: A = 15 x 7 = 105
Small rectangle: 6 x 3 = 18
Step 3) Add all of the areas together
A = 135 + 6 + 105 + 18 = 264 square feet
Hope this helps! :)
Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168
Answer:
C. 43
Step-by-step explanation:
I have the following question on an assignment. I have no idea how to factor to variables that aren't there.
[tex]x^2 + 7x + 10[/tex]
Answer:
I have attached the work to your problem below.
I hope this helps!
Please help!
You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 3 and then picking a number greater than 1?
Write your answer as a percentage.
__%
Your answer would be 37.5%
For the first card you picked, the probability of picking a number less than 3 is 2/4 = 1/2, because there are 2 cards that are less than 3 and a total of 4 cards.
When picking the second card, it is still out of 4 because you replaced the first one, so the probability of picking a card greater than 1 is 3/4 because there are 3 cards that are greater than 1 out of a total of 4.
Therefore the total probability would be 1/2 × 3/4 = 3/8. To find this as a percentage we just multiply by 100, and this gives us 37.5%.
I hope this helps!
Answer:
You have three card : 1, 2, 3 and 4.
You first pick one card randomly, the probability of picking a number less than 3 is:
P = 2/4
You then pick a second card after putting the first card back, the probability of picking a number greater than 1 is:
P = 3/4
=> The probability of picking a number less than 3 and then picking a number greater than 1:
P = (2/4) x (3/4) = 3/8
Hope this helps!
:)