Answers
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer
Related Questions
Find the length of, x, of the third side of the triangle.
Answers
Answer:
i do not know either so please help me because this is not my level
Answer:
8=x
Step-by-step explanation:
can u give me a 5 star plz ty :)
97 students choose to attend one of three after school activities: football, tennis or running. There are 45 boys. 36 students choose football, of which 11 are girls. 41 students choose tennis. 15 girls choose running. A student is selected at random. What is the probability this student chose running? Give your answer in its simplest form.
Answers
Answer:
20/97
Step-by-step explanation:
Since we are only looking at students in general that choose running, the question is more simple than it seems. We can ignore every phrase that is gender specific because it doesn't apply to our question. All we need to know is that there are:
97 students
36 who chose football
41 who chose tennis
And we just need to find the number that chose running
97-(36+41)=20
20 students chose running
20/97
abby owns a square plot of land. she knows that the area of the plot is between 2200 and 2400 square meters. which of the following answers is a possible value for the side length of the plot of land?
Answers
Answer:
48
Step-by-step explanation:
The formula for the area of a square is A = s². Plug in each value and see if is in between 2200 and 2400.
A = s²
A = (46)²
A = 2116
A = s²
A = (48)²
A = 2304
A = s²
A = (50)²
A = 2500
A = s²
A = (44)²
A = 1936
The only value that fits in between 220 and 2400 is 48.
Forty-nine is subtracted from a number. The difference is divided by 11. The quotient is 3. What is the number?
Answers
Answer:
N = 82
Step-by-step explanation:
(N - 49)/11 = 3
N - 49 = 33
N = 82
N-49=33
so n = 82
Determine the number of terms, n, given the geometric series -1 - 2 - 4 - 8 - ... and Sn=−31.
Answers
Answer:
5
Step-by-step explanation:
We are given the geometric series:
-1, - 2, - 4, - 8.......
In the geometric series above, the common ratio = second term/first term = -2/-1
= 2
Where common ratio is greater than 1(r >1)
The sum of a geometric progression =
Sn = a(rⁿ -1)/r - 1
In the question we are asked to find the number of term = n
Sn = -31
a = -1
r = 2
Hence,
-31 = -1(2ⁿ - 1)/2 - 1
-31 = -1(2ⁿ - 1)
-31 = -2ⁿ + 1
2ⁿ = 1 + 31
2ⁿ = 32
2ⁿ = 2^5
n = 5
Therefore, the number of terms(n) = 5
If anyone doesn't mind helping may you plz help me
Answers
Answer:
SAS
Step-by-step explanation:
Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.
we know that the triangles (as a whole) as vertical angles meaning they are congruent. We also know FD and BD are congruent to themselves by the reflexive property. And the last side is already congruent (it’s given) :))
Given the sequence -3, 9, -27, 81, -243, ..., find the recursive formula.
Answers
Answer:
a(1)= -3
a(n)=a(n-1) (-3)
Step-by-step explanation:
hope this helps
Recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...
What is recursive formula?A recursive formula defines any term of sequence with its preceding term.
The given sequence is -3, 9, -27, 81, -243, ... ,
First term = -3
Second term = (-3)^2 = 9
Third term = (-3)^3 = -27
Fourth term = (-3)^4 = 81
Fifth term = (-3)^5 = -243
Hence, the recursive formula of the given sequence -3, 9, -27, 81, -243, ... , is (-3)^n ; where n = 1,2,3, ...
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03.07A LC)Which of the following describes a situation in which a basketball player ends up 0 m from his starting point? The player runs 9 meters forward, and then runs 0 meters in the opposite direction. The player runs 5 meters forward, and then runs 6 meters in the opposite direction. The player runs 6 meters forward, and then runs 5 meters in the opposite direction. The player runs 4 meters forward, and then runs 4 meters in the opposite direction.
Answers
Answer:
The correct option is;
The player runs 4 meters forward, and then runs 4 meters in the opposite direction
Step-by-step explanation:
From the question relates to the displacement of a body, compared to the distance covered by the body
In the question instance, the situation in which the player displacement will be zero is one where both the players forward and backward displacement are equal such that they cancel each other
We have the instance where the forward and opposite displacement are equal is given by the situation where the player runs 4 meters forward, and then runs 4 meters in the opposite direction.
Answer:
d would be the answer if your so needy
Step-by-step explanation:
A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answers
Answer:
The numerical limits for a B-grade is between 81 and 92
Step-by-step explanation:
Here in this question, our task is to find the numerical limits for B grade. This means the range between a test taker would be scored a B grade
Please check attachment for complete solution and explanation
Give me correct answer and fast
Answers
Answer:
r=8.8
Step-by-step explanation:
sin 36=opp/ hyp
sin36=r/15
r= 15 sin36
r=8.8
HELP FAST PLEASE
Polygon ABCDE is congruent to polygon TVSRK. VSR corresponds to
a,)
b,)
c,)
d,)
Answers
We are given that ABCDE is congruent to TVSRK and want to find what corresponds to VSR.
Look at the ordering of the letters. VSR is the second, third, and fourth letters of TVSRK, respectively.
Thus, we just have to select the second, third, and fourth letters of ABCDE and we get BCD.
Thus, VSR corresponds to BCD. Let me know if you need any clarifications, thanks!
Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees. What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155
Answers
Answer:
C, 105 Degrees
Step-by-step explanation:
So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.
The measure of angle O in this parallelogram is 105°.
The properties of a parallelogramThe opposite angles of a parallelogram are equal.The Opposite sides of the parallelogram are equal and parallel.The diagonals of the parallelogram bisect each other.The Sum of the angles = 360°
Solution
Because the properties says that opposite angles are equal.
Angle L = (x + 40)
angle O = (3 x)
Applying the first property
x+40+x+40+3x+3x = 360
collect the like termsx+x+3x+3x+40+40 = 360
8x+80 = 360
8x = 360-80
8x = 280
Divide through the equation by 8
x = 280/8
x = 35
The question wants us to find the value of angle O
O = 3x
O = 3*35
= 105
The value of angle O is equal to 105°
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Answers
TV = VX.
3x-24 = 2x + 1
Add 24 to both sides:
3x = 2x + 25
Subtract 2x from both sides:
X = 24
VX = 2(25) + 1 = 50 + 1 = 51
The answer is 51
Answer:
51
Step-by-step explanation:
Since it is an isosceles triangle the two sides are equal
3x - 24 = 2x + 1
x = 25
2(25) + 1 = 51
On a coordinate plane, a piecewise function has 3 lines. The graph shows cleaning time in hours on the x-axis and total cost in dollars on the y-axis. The first line has an open circle at (0, 50) and continues horizontally to a closed circle at (2, 50). The second line has an open circle at (2, 100) and continues horizontally to a closed circle at (6, 100). The third line has an open circle at (6, 200) and continues horizontally to a closed circle at (8, 200). The graph represents the cleaning costs charged by a housekeeping service. Which statement is true of the cost function? A cleaning time of 2 hours will cost $100. A cleaning time of 6 hours will cost $150. Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. Cost is a fixed rate of $200 for jobs that require at least 6 hours.
Answers
Answer:
C. (2, 6] hour jobs cost $100
Step-by-step explanation:
Let's consider each of these statements in view of the graph:
A cleaning time of 2 hours will cost $100. -- The closed circle at (2, 50) tells you the cost of a 2-hour job is $50, not $100.A cleaning time of 6 hours will cost $150. -- The closed circle at (6, 100) tells you the cost of a 6-hour job is $100, not $150.Cost is a fixed rate of $100 for jobs requiring more than 2 hours, up to a maximum of 6 hours. -- The line between the open circle at (2, 100) and the closed circle at (6, 100) tells you this is TRUE.Cost is a fixed rate of $200 for jobs that require at least 6 hours. -- "At least 6 hours" means "greater than or equal to 6 hours." The closed circle at (6, 100) means a 6-hour job is $100, not $200.Answer:
(0,8) first option and 50,100 or 200 in the second option
Step-by-step explanation:
Instructions: Find the measure of the indicated angle to the
nearest degree
Answers
Answer:
x = 60°
Step-by-step explanation:
let the missing angle be = x
Cos x = 8/16
x = Cos-¹ 0.5
x = 60°
The municipal swimming pool in Charlotte, North Carolina has three different ways of paying for individual open swimming. Nick is trying to decide which way to pay. • Early Pay: Pay $38.00 before Memorial Day; swim any number of days • Deposit Plus: $13.00 deposit plus $3.00 per day • Daily Pay: $5.00 per day
Answers
Answer:
$13.00 deposit plus $3 per day.
Step-by-step explanation:
Nick is deciding to acquire membership in municipal swimming pool in Charlotte, North Carolina. There are three different ways for the payment. The lump sum initial is $38 which is difficult for Nick to finance. Also if Nick is unable to go for swim he will lose $38. The per day deposit is suitable option for Nick as he will only have to pay when he goes for swim.
Answer:
Table of swimming costs using the three different payment methods
Payment Method Number of days
0 days 5 days 10 days 15 days 20 days
Early Pay $38.00 $38.00 $38.00 $38.00 $38.00
Deposit Plus $13.00 $28.00 $43.00 $58.00 $73.00
Daily Pay $00.00 $25.00 $50.00 $75.00 $100.00
find the slope and y intercept of the line y=7/5x-3 5/7; 3 3; 7/5 7/5;-3 -3; 7/5
Answers
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
y = 7/5x - 3
Comparing with the above formula
Slope / m = 7/5c/ y intercept = - 3Hope this helps you
The value of the slope of the line is 7/5 and the y-intercept is -3
Given the line equation :
y = 7/5x - 3The general form of the equation is :
y = bx + cslope = b ; intercept = cComparing the equations :
b = 7/5 c = -3Hence, the slope and y-intercept are 7/5 and -3
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ANSWER FAST A 10 ft long ladder has one end that leans against a wall and another that rests on the ground 6 feet from the wall. How high on the wall does the ladder rest?
Answers
Answer:
8 feet
Step-by-step explanation:
[tex]h = \sqrt{10^{2} - 6^{2} } = \sqrt{100 - 36} = \sqrt{64} = 8[/tex]
An athlete runs 100 m each minute.
If she starts running at 10:00 am, how
many kilometres will she have run
by 10:20 am?
Answers
From 10:00 - 10:20 is 20 minutes and she’s runs 100 meters a min which is 0.1 km so then 20 times 0.1 equals 2
Helppppppppppppppppp
Answers
Answer/Step-by-step explanation:
Surface area of cylinder = 2πrh + 2πr²
Surface area of the cylinder with,
height (h) = 4 ft
radius (r) = 5 ft
Surface area = 2*3.14*5*4 + 2*3.14*5²
= 125.6 + 157
= 282.6 ft²
Surface area of the cylinder with,
height (h) = 12 yd
radius (r) = 3 yd
Surface area = 2*3.14*3*12 + 2*3.14*3²
= 282.74 yd²
if a student is selected at random find the probability the student is a male given that it's a senior. Round to the nearest whole percent.
Answers
Answer: 40%.
Step-by-step explanation:
From the table : Total Seniors = 2+3= 5
Number of male seniors = 2
If a student is selected at random find the probability the student is a male given that it's a senior:
P(Male | senior)[tex]=\dfrac{\text{Number of male seniors}}{\text{Total seniors}}[/tex]
[tex]=\dfrac{2}{5}[/tex]
In percent, [tex]\dfrac{2}{5}\times100=40\%[/tex]
Hence, the probability the student is a male given that it's a senior. =40%.
The probability of the student is a male senior is 7%.
Given, here from the 2- way table the total no. students will be 30.
We have to find out the probability of the student select at random, student is a senior male .
We know that, the probability of an event E, will be
[tex]P(E)=\dfrac{No.\ of \ favaurable\ outcomes}{Total\ outcomes}[/tex]
Now,
[tex]P( Senior\ male)= \dfrac{2}{30} \\\\P( Senior\ male)=0.06\\[/tex]
Representing it in percentage as,
[tex]P( Senior\ male)=0.06666\times100\%\\P( Senior\ male=6.66\%[/tex]
Hence the nearest whole percent will be 7%.
Thus probability of the student is a male senior is 7%.
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Please answer it now in two minutes
Answers
Answer:
8.4 in
Step-by-step explanation:
Solution:-
- We consider the large right angle triangle namely, " XVW "
- We will recall all the trigonometric ratios that are applicable to all right angled triangles.
- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:
Hypotenuse ( H ): Side opposite to 90 degrees angle
Base (B): The side adjacent to the available angle ( θ )
Perpendicular (P): The side opposite to the available angle ( θ )
- We will go ahead and mark our respective sides as follows:
Angle ( θ ) : 34°
Hypotenuse ( H ) : XW = 15 in
Base ( B ) : VW
Perpendicular ( P ) : VX
- Now recall all the trigonometric ratios studied:
sin ( θ ) = P / H = VX / XW
cos ( θ ) = B / H = VW / XW
tan ( θ ) = P / B = VX / VW
- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:
sin ( θ ) = P / H = VX / XW
sin ( 34° ) = VX / 15
VX = 15*sin ( 34° )
VX = 8.387 .. ( 8.4 ) in
How much will Bob need to save each month if he wants to buy a $30,000 car with cash in 5 years? He can earn a nominal interest rate of 10% compounded monthly.
a) $2.50
b) $250.00
c) $25.00
d) $1,862.76
Answers
Answer:
B
Step-by-step explanation:
C is too little and D is too much
Fareeda is researching a paper for her astronomy class and has identified a book of star charts that she feels would be a useful resource. Unfortunately, neither the school nor the local city library has it in their collections, and it would be expensive to purchase. However, there is a copy of the book at another school's library, about 150 miles away. What would be the BEST way for Fareeda to obtain the book for her research
Answers
Step-by-step explanation:
I would suggest that she studies or do a cost analysis of what it will cost her to transport to the library to request for the book and return it, if it is not expensive as compared to the cost of the book she should travel down to request for it. else she should purchase the book
Or
Fareeda can simply check if the second library has a distant library services so that the book can be either
1. Sent to her home or placement address, or
2.Scans of book chapters and articles be emailed to her.
The question is in the picture
Answers
Answer:
angle B=92
Step-by-step explanation:
cos C= adj/hyp
sin C=12/14=6/7 ( in rad.)
angle C is 31 degree
the sum of angles of triangle =180
angles A+B+C=180
angle B=180-(31+57)=92 degrees
what is the value of the angle marked with x
Answers
Answer:
67°Step-by-step explanation:
Given figure is an isosceles trapezoid. Then angles corresponding to equal sides must also be equal. Hence, X = 67°
Theorem: If a quadrilateral ( with one set of parallel sides ) is an isosceles trapezoid, it's legs are congruent.
Hope this helps...
Best regards!!
Which graph represents the function f(x)=−4x−3?
Answers
The graph on the top left.
Step-by-step explanation:f(x) = [tex]-4^x - 3[/tex]
That means that when x = 0...
f(0) = [tex]-4^0 - 3[/tex]
f(0) = -1 - 3
f(0) = -4
So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.
When x = 1...
f(1) = [tex]-4^1 - 3[/tex]
f(1) = -4 - 3
f(1) = -7
So, the function will have a point at (1, -7). That corresponds to the graph on the top left.
Hope this helps!Answer:
the top left
Step-by-step explanation:
just took the test
find the zeros or x-intercepts (values of r and s) of a quadratic relation y=x^2-5x+6 by factoring using the sum and product method
Answers
Answer:
[tex] y = x^2 -5x +6[/tex]
And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:
[tex] y = (x-r) (x-s)[/tex]
The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2
[tex] y=(x -2)) (x-3)[/tex]
Step-by-step explanation:
For this problem we have the following polynomial given:
[tex] y = x^2 -5x +6[/tex]
And for this case we want to find the zeros or x interceps r and s so we want to rewrite the function on this way:
[tex] y = (x-r) (x-s)[/tex]
The reason why we have two zeros is because the degree of the polynomial is 2. If we find two numbers that adding we got -5 and multiplied 6 we solve the problem. For this case the solution is r =3, s =2
[tex] y=(x -2)) (x-3)[/tex]
Find the Probability that a point chosen randomly inside the
rectangle is inside the trapezoid. Enter your answer as a decimal.
10 ft
4 ft
6 ft
4 ft
12 ft
1
2 ft
Answers
Answer: 1/5
Step-by-step explanation:
We need to calculate the area of rectangle and trapezium and the Circumference of the circle.
Area of rectangle :
Length(L) = 10 ; width (W) = 6
Area = L * W = (10 * 6)ft = 60ft^2
Area of trapezium :
Height (h) = 4ft ; length(a) = 2ft ; length(b) = 4ft
Area = 0.5 ( a + b) h
Area = 0.5(2 +4) * 4 = 0.5(6)*4 = 12ft^2
Area of circle :
πr^2 ; r = radius of circle ; r= 2ft
3.142 * 2^2 = 3.142 * 4 = 12.568 ft^2
Probability = required outcome / Total possible outcomes.
P(point chosen inside rectangle is inside trapezium) = Area of trapezium / Area of rectangle
= 12/60
= 1/5
A trapezoid, square, and semicircle are connected to form a composite figure. Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters. Square A B C D has side lengths of 2 millimeters. Line A B is the diameter of the semicircle and has a length of 4 millimeters. What is the area of the composite figure if AB ≅ BC ≅ CD ≅ DA ≅ DN? (2π + 28) mm2 (2π + 32) mm2 (2π + 40) mm2 (2π + 48) mm2
Answers
Answer:
(2π + 28) mm²
Step-by-step explanation:
The Area of the Composite figure =
Area of the Trapezoid + Area of the Square + Area of the semicircle
a) Area of the Trapezoid
Trapezoid M D C K has base lengths of 8 millimeters and 4 millimeters
Diameter of the semicircle= length of 4 millimeters = height of the trapezoid
Area of trapezoid = 1/2 × h × (b + b)
= 1/2 × 4 × (8 + 4)
= 1/2 × 4 × 12
= 1/2× 48
= 24mm²
b) Area of the square
Square A B C D has side lengths of 2 millimeters.
Area of a square = Side length²
=(2mm)² = 4mm²
c) Area of the semicircle
Line A B is the diameter of the semicircle and has a length of 4 millimeters.
Formula for the Area of a semi circle: πr²/2
Radius = Diameter/2 = 4mm/2 = 2mm
= π × 2²/2
= 4π/2
= 2πmm²
The Area of the Composite figure =
Area of the Trapezoid + Area of the Square + Area of the semicircle
= 24mm² + 4mm² + 2πmm²
= 28mm² + 2πmm²
= (28 + 2π)mm²
Therefore, the Area of the Composite figure = (28 + 2π)mm² or (2π + 28) mm²
Answer:
A- (2π + 28) mm²
Step-by-step explanation:
edge