Answer:
5/14Step-by-step explanation:
There are 5 red marbles out of 8.
The probability of the first red:
P(r1) = 5/8Now we have 7 total marbles and 4 of them are red.
The probability of the second red:
P(r2) = 4/7The probability of two red is:
P(rr) = 5/8*4/7 = 5/14What is 15.23 rounded to the nearest hundredth
Answer:
15.20
Step-by-step explanation:
Write a counter example for each statement
33. All athletes go to the Olympics.
no athletes go to the Olympics?
The area of a picture projected on a wall varies directly at the square of the distance from the projector to the wall if a 10ft distance produces a 16 feet squared (^2) picture, what is the area of the picture produced when the projection unit is moved to a distance 20 ft from the wall?
The new picture is 64 ft squared. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
What is area?The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.
We are given the relation: Area of pic = constant * d^2, where d is distance from projector to wall.
For d = 10, we have A = 16 ft sqrd
Now given d = 20
what is A?
constant = 16/10*10
new A = [16/100] * 20*20 = 16 * 4 = 64 ft sqrd.
The new picture is 64 ft squared.
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Fill in the table using this function rule.
y=-3x-3
X
-2
-1
0
1
y
0
0
0
X
Ś
Answer:
X | y
---------------
-2 | 3
-1 | 0
0 | -3
1 | -6
Angel spends $29 to order binders online.
They buy 8 binders and pay a flat fee of $5 for shipping.
What is x, the cost of each binder?
The cost of each binder is $3.
Given,
In the question:
Angel spends $29 to order binders online.
They buy 8 binders and pay a flat fee of $5 for shipping.
To find the what is x, the cost of each binder?
Now, According to the question;
Based on the given conditions:
Formulate:
Angel spends = $29 to order binders online.
Buy the = 8 binders
Paying = $5 for shipping .
5 + 8 × x = 29
Solve the equation:
5 + 8x = 29
Rearrange the terms;
8x = 29 - 5
8x = 24
x = 24/8
x = 3
Hence, The cost of each binder is $3.
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If TT $6.00 is equivalent to US $1.00 then TT $15.00 in US dollars is
Answer:
2.5 us dollars
Step-by-step explanation:
what is 4million 2hunderd thousand 6 hundred 52 in digitss
Answer:
one thousand, seven hundred twenty-eight
.A number is divided into two parts in the ratio 5:3. If the smaller part is 180, find the number and the
larger part
Answer:
300
Step-by-step explanation:
3x=180
x= 60
=5x60 = 300
Part A
If the train went 390 miles in 3 hours, what was the speed of the train in miles per hour?
Answer: 130 mph
Step-by-step explanation:
PLEASE WHAT IS THIS?!!? WHATS THE ANSWER?
Answer: bottom right
who is the best fnf mod character mine is sarvenette and ruv
Answer:
same my fav
Step-by-step explanation:
have a good day!!
Answer:Kapil or Matt
Step-by-step explanation: I would say Kapil better because of the DDR pad and his last Song Beathoven replicates beethoven virus. Matt Wiik 2 is great but can't beat
A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find the side length of the square base
Answer:
40ft
Step-by-step explanation:
The volume of a square pyramid is given by:
\(V=\frac{l^2h}{3}\)
where V is the volume, l is the length of the square base, and h is the height.
Since we need to find the length, we solve for \(l\) in the last equation:
\(l^2h=3V\\\\l^2=\frac{3V}{h} \\\\l=\sqrt{\frac{3V}{h} }\)
and now, we substitute the known values:
\(V=19,200ft^3\\h=36ft\)
and we get the following:
\(l=\sqrt{\frac{3(19,200ft^3)}{36ft} }\\ \\l=40ft\)
the length of the square base is 40ft
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
How to get the equation
The equation of the line passing through the points (-4, -3) and (2, -1) is y = (1/3)x - (5/3).
What is the point-slope form of a line?To find the equation of a line given two points, we can use the point-slope form of the equation.
y - y₁₁ = m(x - x₁)
where m is the slope of the line, and (x₁, y₁) is one of the given points.
First, we need to find the slope of the line. We can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are the two given points.
m = (-1 - (-3)) / (2 - (-4))
m = 2/6
m = 1/3
Now we can choose one of the given points and substitute its coordinates into the point-slope form, along with the slope we just found:
y - (-3) = (1/3)(x - (-4))
Simplifying this equation, we get:
y + 3 = (1/3)(x + 4)
y = (1/3)x - (5/3)
Therefore, the equation of the line passing through the points (-4, -3) and (2, -1) is y = (1/3)x - (5/3).
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Please help it’s URGENT!
The least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
How to obtain the least common denominator?The equation in this problem is given as follows:
1/x + 2/(x - 3) = 5.
The denominators of each expression are given as follows:
x.x - 3.x and x - 3 are not factors of each other, hence we multiply them and the least common denominator needed to solve the equation is given as follows:
D. x(x - 3).
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A passenger train leaves depot 2 hours after a freight train leaves the same depot. The freight train is traveling 18 mph slower than the freight train find the rate of each train if the passenger train over, takes the freight train in 3 hours
Answer:
The passenger train is traveling at 45 mph, and the freight train is traveling at 27 mph.
Step-by-step explanation:
Let's assume the speed of the passenger train is represented by x mph.
According to the given information, the freight train leaves the depot 2 hours before the passenger train. Therefore, when the passenger train starts, the freight train has already been traveling for 2 hours.
Let's represent the speed of the freight train as (x - 18) mph, which is 18 mph slower than the passenger train.
Now, we know that the passenger train overtakes the freight train in 3 hours. This means that the passenger train traveled for 3 hours, while the freight train traveled for 3 + 2 = 5 hours.
Since speed = distance/time, we can set up the following equation based on the distances covered by each train:
Distance covered by passenger train = Distance covered by freight train
Using the formula, distance = speed × time, we get:
x × 3 = (x - 18) × 5
Simplifying the equation:
3x = 5x - 90
90 = 5x - 3x
90 = 2x
Dividing both sides by 2:
45 = x
So, the speed of the passenger train is 45 mph.
The speed of the freight train is 45 - 18 = 27 mph.
The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
Consider the data set shown. How does the outlier affect the mean, median, and mode? 7,11,10,8,10,23,8
The way the outlier affects the mean, median, and mode is:
It does not affect the mode It will increase the mean. It will not affect the medianWhat are the effects of outliers ?The outlier will increase the mean, as it will significantly increase the sum of the values. The presence of an outlier will not affect the median, as it only changes the position of the middle value.
The mode is the value that occurs most frequently in a data set. In this case, the mode will not be affected because the outlier is not the most frequent in the data set and only appears once.
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100×100×60×2(4) /3(2)×5(3)×32
Answer:
1666.67
Step-by-step explanation:
100×100×60×2×4
=____________________
3×2×5×3×32
=4800000
_________
2880
=1666.67
Point A is located at (5, 6). Find the coordinates of the image A' after the
point is reflected across the x-axis.
(5,-6)
(-5,6)
(-5, -6)
(5,6)
Answer:
Step-by-step explanation:
Point A = (5, 6) is reflected across the x axis which is y =0.
When the point is reflected across the x axis, the x coordinate
remains positive, but the y coordinate becomes negative.
The 6 becomes negative (-6).
So the coordinates of A' are (5, -6) which is the first answer.
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.
In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.
The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:
Σ_{i=1}^{11} (6i + 2)
To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:
The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.
The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.
The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.
Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).
please help thank you!!
Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.
Determine tanθ using the sum formulaThe identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.
Here, we have θ = 11π/12, so we need to express it as the sum of two angles.
In this problem, we are given θ = 11π/12 and we can use the sum of two angles.
11π/12 = π/6 + 5π/6
putting the value of α = π/6 and β = 5π/6.
The sum formula of the tangent becomes;
tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)
Let's put in the values of α and β:
tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))
The tangent of π/6 and 5π/6 will have values as;
tan(π/6) = √3/3
tan(5π/6) = -√3/3
Let's put in these values into the sum formula;
tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))
tan(11π/12) = 0 / (1 - (-3/9))
= 0 / (1 + 1/3)
= 0 / (4/3)
= 0
Therefore, tan(11π/12) = 0.
Part B;
Using difference formula, the value of cosθ can be expressed using the trigonometric identity
cos(α - β) = cosα * cosβ + sinα * sinβ
Since we are given θ = 11π/12;
Let's express this as the difference of two angles
11π/12 = 3π/4 - π/6
Putting the value α = 3π/4 and β = π/6.
Using the difference formula for cosine;
cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ
Let's plug in the values of α and β
cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)
The known values of cosine and sine for 3π/4 and π/6 are;
cos(3π/4) = -√2/2
cos(π/6) = √3/2
sin(3π/4) = √2/2
sin(π/6) = 1/2
Plugging these values into the difference formula;
cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)
cos(11π/12) = -√6/4 + √2/4
Combining like terms:
cos(11π/12) = (-√6 + √2) / 4
Therefore, cos(11π/12) = (-√6 + √2) / 4.
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3. Which of the following is an example of overdraft protection?
A. Bank pays you interest on money in your savings account
B. Bank collects additional fees when you bounce a check
OC. ATM machine provides you with cash
D. Bank charges a large fee for bouncing a check
PLEASE HELP 4 $
Answer:
D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.
Step-by-step explanation:
Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.
Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.
Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.
Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.
what is 11/2 times 1/3 as a fraction
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
What is the equivalent to the product below when x>_0?
√5x² •√15x²
Number of Computers
72
60
48
36
24
12
V
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days
The graph shows a proportional relationship between
the number of computers produced at a factory per day.
In three days, 36 computers are produced; 48
computers are produced in 4 days; and 60 computers
are produced in 5 days.
Find the unit rate of computers per day using the graph.
Unit rate:
computers per day
The unit rate of computers per day using the graph is that 12 computers are made per day.
What is a unit rate?The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.
How to find the unit rate of computers per dayTo obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x
So, it is given by:
\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)
\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)
\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)
\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)
\(\bold{Slope = 12}\)
Unit rate = 12 computers per day.
The attachment of the graph is given below.
Therefore, the unit rate of computers per day is 12.
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Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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Jocelyn has read 160 pages in a book. This is of the entire book. How many pages
does the book have?
you need more information to finish this question. You can't get an answer for a math question like this one with that little information.
Answer:
Step-by-step explanation:
lol it means 4/5,
your in rsm i aleready know
The large rectangle below represents one whole.
What percent is represented by the shaded area?
Answer: 44%
Step-by-step explanation:
There are 25 squares in the rectangle. This means that the percentage of each square is:
= 1/25 * 100
= 4%
There are 11 shaded squares so the percentage represented is:
= 11 * 4%
= 44%