Answer:
The distance travelled by Rubina is 600 m.
Hope you could get an idea from here.
Doubt clarification - use comment section.
A bowl contains only red marbles, blue marbles and green marbles. The probability of selecting a red marble from the bowl is 3/13. The probability of selecting a blue marble from the bowl is 2/5. There are fewer than 100 marbles in the bowl. What is the probability of selecting a green marble and then a red marble from the bowl on the first two selections, assuming marbles are not returned to the bowl after being pulled
====================================================
Explanation:
3/13 = 15/65 after multiplying top and bottom by 5
2/5 = 26/65 after multiplying top and bottom by 13
Let's say there are 65 marbles in the bowl. That would mean 15 of them are red (since 15/65 reduces to 3/13) and 26 are blue. That gives 15+26 = 41 so far. Leaving 65-41 = 24 marbles that must be green.
The probability of selecting a green marble is 24/65. Once that first green marble is taken out, it is not replaced. We have 65-1 = 64 marbles left, 15 of which are red. The probability of picking red on the second selection is 15/64.
Multiply the fractions mentioned:
(24/65)*(15/64)
(24*15)/(65*64)
360/4160
9/104
How many real solutions are there to the equation: x + y = 10
don't forget the explanation?
Answer:
An infinite amount
Step-by-step explanation:
The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.
Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].
4. Which of the following is an example of an expression?
1. 3y - 4x -12
2. 4x + 3y
3. y > -2x - 1
4.9x < -27
Answer:
i believe its 2 but i might be wrong sorry if i am
Step-by-step explanation:
I think it could be number 1 or number 2
is this correct????????
Answer:
its half way correct. get rid of the dot on the 2.
Step-by-step explanation:
the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located
give answer to 1 d.p
Answer:
AB ≈ 5.6 cm
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )
12 × cos62° = AB , then
AB ≈ 5.6 cm ( to 1 dec. place )
2x^2=3x+10 completing the square
Answer:
[tex] x_{1} = \frac{ - \sqrt{89 + 3} }{4} [/tex]
[tex] x_{2} = \frac{ \sqrt{89 + 3} }{4} [/tex]
Step-by-step explanation:
1) Move the variable to the left
2) Divide both sides
3) Add the same value to both sides
4) Add 9/16 to the expression
5) Add 9/16 to the right-hand side
6) Recalculate then solve
(44+6x) / (16+x) ………
Write an equation in slope-intercept form of the line that passes through the given points
Х
у
- 2
4
0
1
2
- 2
4
-5
[tex]y= -\frac{3x}{2} +1[/tex]
Y varies directly as x if x=15 when y=20, find x when y=30
Answer:
X=22.5
Step-by-step explanation:
Y=kX
20=15k
k=4/3
For X when Y=30
30=4/3×X
Cross multiply
4X=90
X=22.5
Which set of numerical values represents the minimum, lower quartile, median, upper quartile, and maximum, in that order, of the box plot of this data set?
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
Answer:
51, 53, 55, 58, 60
Step-by-step explanation:
The minimum is the lowest value in the data set, that is 51
The maximum is the largest value in the data set, that is 60
The median is the middle value of the data, arranged in ascending order. If there is no exact middle then it is the average of the 2 values either side of the middle.
51, 51, 53, 53, 54, 55, 55, 56, 58, 58, 58, 59, 60
↑ middle
median = 55
The lower quartile is the middle value to the left of the median
51, 51, 53, 53, 54, 55
↑
Q₁ = [tex]\frac{53+53}{2}[/tex] = [tex]\frac{106}{2}[/tex] = 53
The upper quartile is the middle value of the data to the right of the median
56, 58, 58, 58, 59, 60
↑
Q₃ = [tex]\frac{58+58}{2}[/tex] = [tex]\frac{116}{2}[/tex] = 58
HELP PLEASE!!
(It’s slope)
Answer:
Rate of change is correct; it's -3. And when the x-value is 8, the y-value is just a value, not a coordinate point. It's one number. -3 would not be the answer, and i dont know what the answer would be, but it's between greater than -14 and less than -23. Hope this helps!!
Step-by-step explanation:
Im not good at explaining things without it sounding very confusing... sorry.
Im just confused, pls help
Answer: where’s the question
53:24
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is
shown below.
The function is positive for all real values of x
where
x 1.1
6
27
O The function is negative for all real values of x
where
x <-3 and where x > 1
The function is positive for all real values of x
where
x > 0
The function is negative for all real values of x
where
X<-3 or x>-1
-6
4
2.
4
6
х
-2
-2
4
Mark this and return
Save and Exit
Next
Submit
Answer:
25
Step-by-step explanation:
A certain tiger shark is 55 cm long at birth and grows 2.5 cm / year. A certain hammerhead shark is 25 cm long at birth and grows 5 cm/year. When will the sharks be equal in length?
Let x = time in years
Let y = length of the sea creatures
The equation for the length of the tiger shark is
[ Select ]
. The equation for the length of the spiny dogfish hammerhead shark is
[ Select ]
. Solving with elimination, the sharks will be equal in length when
[ Select ]
years have passed.
Answer:
Step-by-step explanation:
equation for tiger shark:
for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.
the equation would be y = 2.5x + 55
equation for hammerhead:
do the same process with the other numbers. this would be
y = 5x + 25
solve with elimination:
subtract the two equations, which would eliminate the y variable
y = 5x + 25
- (y = 2.5x + 55)
you get
0 = 2.5x - 30
solve that for x
2.5x = 30
x = 12 years
so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:
y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85
so they will be 85 cm long each.
Help help help help pls
write a linear function f with given values.
Answer:
given slope of 2 and a y intercept of 0
f(x) = 2x
If you can buy four bulbs of elephant garlic for $8 how many can you buy with $32?
Answer:
16
Step-by-step explanation:
16
Step-by-step explanation:
32 ÷ 8 = 4
4 × 4 = 16
[tex] \\ [/tex]
KemberlyJa:b=2:5 b:d=4:3 c:d=4:5 a:e=1:3 a+b+c+d+e=792 a=? b=? c=? d=? e=?
explain how did u do it please
Answer:
a is 2 b is 5 ď is 3 e is 5 and that is it this is not the correct awns
Which of these four sets of side lengths will form a right triangle?
What are the lengths of the major and minor axes of the ellipse?
(x−3)^2/18 + (y+4)^2/32=1
[tex] \: \: \: \: [/tex]
[tex]elipse \: \: \: with \: \: the \: \: center (3, - 4)[/tex]
refer to the attachmenthope it helpsThe length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
What is an ellipse?
The standard form of the ellipse is defined as;
x² / a² + y² / b² = 1
Where, a < b
Minor axis of the ellipse = 2a
And, Major axis of the ellipse = 2b
Given that;
The equation of the ellipse is,
(x−3)² / 18 + (y+4)² /32 = 1
Now,
We can compare with the standards form of an equation of ellipse, we get;
a² = 18
a = √18
And, b² = 32
b = √32
Clearly, √18 < √32
That is; a < b
So, The minor axis of the ellipse = 2a
= 2√18
And, The major axis of the ellipse = 2b
= 2√32
Therefore,
The length of major axis of the ellipse 2√32.
The length of minor axis of the ellipse 2√18.
Learn more about the ellipse visit:
https://brainly.com/question/14938637
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what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?
Answer:
y+4=-5/6(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-5/6(x-8)
y+4=-5/6(x-8)
Please mark me as Brainliest if you're satisfied with the answer.
4. Evaluate the following expression for y= 8 and z= 3. (1 poin
(y-2)2 +2 N.
O 28
012
O2
0-4
Amy is traveling across the USA by train over the summer. She is keeping track of all of the stops on her trip. She has just completed stop 8 and the map shows she is 20% complete. How many total stops are on her trip?
Answer: 40
Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total
The total number of stops in her trip is 40.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Amy has just completed stop 8 and the map shows she is 20% complete.
let the total number of stops be x
So, 20% of x = 8
20/100x= 8
1/5x = 8
x= 40
Hence, the total number of stops in her trip is 40.
Learn more about algebra here:
https://brainly.com/question/24875240
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The average mass of a group of X people in a class is 60 kg. Albert, Ben and Carl join the group and the new average mass is 20 kg The average mass of Alpert, Ben and Carl is 100 kg.
What is the value of x?
Step-by-step explanation:
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can anyone help with this.pls
i will mark as brainliest answer if it is correct
need explanation
Answer:
He obtained 11.2 points
Step-by-step explanation:
He obtained 20 balls and was penalized 3 points.
If each red ball is 0.5 points off, then 3/0.5=6
6 of his obtained balls were red balls, penalizing 3 points.
So, 20-6=14
The rest of his 14 balls were green balls, each worth 0.8
So, 14 × 0.8 = 11.2
So he obtained a total of 11.2 points
what does x - 9 multiplied by x + 4 equal
Answer:
x^2 - 5x -36
Step-by-step explanation:
multiply x-9 by x to get x^2 -9x. multiply x-9 by 4 to get 4x-36. add these two together to get x^2 - 9x + 4x - 36. simplify to get x^2 - 5x -36
will mark brainliest for 2 possible answers (WITH NO LINKS AND ANSWERS WITHOUT EXPLANATION)
Answer:
Equation in cubed form is x^3+7x^2+7x-15
Step-by-step explanation:
Tell whether the ordered pair (2, 6) is a solution of the system of linear equations. x+y=8 3x-y=0
Answer:
Yes, it is a solution.
Step-by-step explanation:
Plug in 2 into x and 6 into y, because 2 is the x value of the ordered pair and 6 is the y value of the ordered pair.
1st linear equation: 2+6=8, this is true.
2nd linear equation: 3x2-6=0, this is also true.
Therefore, since the ordered pair is a solution to both equations, it is a solution of the linear system.
help please thanks.
Answer:
Answer below
Step-by-step explanation:
a. g(w)=$30+$15w
b. h(w)=$65+$20w
c. g(3)=125 represents that Darnell's account has $125 after 3 weeks
d. w=3.5
pls help i will give brainliest!!!!! :)
Answer: c.50 is the answer