Answers
Answer:
d. 0.771.
Step-by-step explanation:
This probability is equal to the area other than the green triangle divided by the total area of backyard.
Total area = 120^2 = 14400
Area of green triangle = 1/2 * 120 * 55 = 3300
So area of the part of yard not covered by the triangle = 14400 - 3300
and the required probability = (14400 - 3300) / 14400
= 0.771.
Answer:
d. 0.771
Step-by-step explanation:
What is probability?
Probability is the likelihood of the occurrence of something.
In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.
Understanding the question
Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.
So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle
Finding the areas
Area of square
Area of square = (side length)²
the square shown has a given side length of 120ft
So area = 120² = 120 × 120 = 14400
Area of triangle
Area of a triangle = (base length × height) / 2
Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet
So area would = ( 120 × 55 ) / 2 = 3300
Finding the probability
Again we want to find the probability that a ball thrown in the square will not land in the triangle
This can be calculated using the probability formula we created earlier
probability = ( area of square - area of triangle ) / area of square
we have area of square = 14400 and area of triangle = 3300
so probability = (14400 - 3300) / 14400
==> subtract 3300 from 14400
probability = 11100 / 14400 = 0.771 ( rounded )
And we are done!
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Related Questions
what is the solution of y = 2/3x + 23/3?
Answers
PLEASE HELP FAST I'LL MARK YOU AS BRAINLIST
The volume of a cube-shaped container is 8000cm³. What is the AREA of the base?
Answers
Answer: 400
Step-by-step explanation: cube root 8000 then that times itself
Please help me with this math problem!! I will give brainliest!! :)
Answers
Wrong answer sorry. Hope you find it!
You need new shoes for work which cost $70. You earn $400 net income each week, but have expenses totaling $380 each week. If you set aside the difference between your weekly income and expenses, how many weeks will it take you to save enough to buy the shoes?
Answers
Amount earned per week=400-380=$20
Price of one shoe=70$
Total weeks
70/203.5Minimum 4 weeks
Answer:
4 weeks
Step-by-step explanation:
Given:
$400 = weekly net income$380 = weekly expensesTherefore,
Weekly surplus = weekly net income - weekly expenses
= $400 - $380
= $20
Given:
Cost of new shoes = $70Weekly surplus = $20Number of weeks = cost of new shoes ÷ weekly surplus
= $70 ÷ $20
= 3.5
= 4 weeks (rounded to nearest week)
Therefore, it will take 4 weeks to save enough to buy the shoes.
1. SSS
2. SAS
4. ASA
7. HL
8. Not Enough Information X
Answers
b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle.
Answers
Answer: Please see the analysis
Samuel helps his brother paint wails during his summer vacation. He charges $10 for the first room and $5 for each additional room (x) he paints. Which equation could Samuel use the find out many additional rooms he would have to paint to make $50 at one house?
Answers
“will give brainliest”
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company:
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 8, 0. The vertex is at 4, 270.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 1 to x = 4, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
Answers
Answer:
Part A: The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B: From the interval [1,4], the average rate of change is 50.625, which means that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
Step-by-step explanation:
The equation of this parabola is [tex]f(x) = -16.875(x-4)^2 + 270[/tex].
Part A:
The x-intercepts represent the prices of the erasers at which the profit will be $0. The function is increasing from [-∞, 4] and decreasing from [4,+∞]. This means that when the price of the eraser is less than 4, the profit will increase until it gets to 4 and decrease for any value greater than 4, where $4 is the price at which the company has the maximum profit.
Part B:
To find the average rate, we can use the slope formula, but first, we must find the y-values at each given x-value. We can plug in 1 and 4. [tex]f(1) = -16.875(1-4)^2 + 270 = 118.125[/tex]. We know that at x = 4, the y-value is 270 because the vertex is at (4,270). Now we can apply the slope formula [tex]\frac{270 - 118.125}{4 - 1} = 50.625[/tex]. This means that from the interval [1,4], the average rate of change is 50.625, which represents that for every $1 increase in the price of erasers, the profit goes up by $50.625.
Part C:
The domain of this function is [0,+∞] because this is the only part of the function that is positive. The function cannot have -x-values because it does not make sense to make the price of an eraser 'negative'.
hope this helped! :)
see picture 40 points
Answers
Answer:
volume = 216cm
Step-by-step explanation:
V = (1/2) × b × h × l
V = 1/2 × 6 × 8 × 9
v=216
Answer:
216 cubic centimeters
Step-by-step explanation:
To calculate the volume of a triangular prism, we can use the formula:
V = (length x width x height) / 2
To solve this problem, in particular, all we have to do is substitute the values:
V = (8 x 6 x 9) / 2
V = 216 cubic centimeters
Hope this helps!!
(3 squared)to the power of 6
Answers
Answer:
531,441
Step-by-step explanation:
3^2=9
9^6=531,441
Answer:
[tex] \sqrt{ {2}^{6 } } = 27 if thats what you meant here is another answer{ {2}^{6} = 64[/tex]
You have $320 to buy 24 tickets for a football game. You need to buy some of each kind of seat. You want to spend most of the money. How many of each type of ticket can you buy? Find two different solutions to the problem. Use an equation to show each solution.
Answers
Answer:
250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
easy :)
Assuming the pizzeria is located at the
origin, write an equation of the circle in
which the pizzeria will deliver in standard
form where x and y represent the distance
from the pizzeria in miles.
Answers
The equation of the circle represented by the pizza is x^2 + y^2 = 4
How to determine the equation of the circle?The given parameters are:
Radius, r = 2
Center, (a,b)= (0,0) i.e. origin
The equation of the circle is calculated as:
(x - a)^2 + (y - b)^2 = r^2
This gives
(x - 0)^2 + (y - 0)^2 = 2^2
Evaluate the exponents
x^2 + y^2 = 4
Hence, the equation of the circle is x^2 + y^2 = 4
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PLS HELP!! I THIS IS WORTH 200 PTS!! I WILL MARK BRAINIEST WHEN SOMEONE ANSWERS FIRST
Answers
Expression: 5z² - 2z + 1 = 0
Discriminant formula: b²- 4ac
Identify: a = 5, b = -2, c = 1
Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16
15)1st equation: 1m - 1p = 2p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1
Build Augment Matrices by taking coefficient's:
[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]
Solve:
Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back
[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]
[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]
Solution = (m, p) = (3, 1)
Answer:
14. -16
15. m = 3 and p = 1
Step-by-step explanation:
Question 14Discriminant
[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]
Given equation: [tex]5z^2-2z+1=0[/tex]
Therefore:
a = 5b = -2c = 1Substituting the values into the discriminant:
[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]
As the discriminant is negative, this implies there are no real roots.
Question 15Augmented Matrices
[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]
Use elementary row operations to convert into:
[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]
Given:
[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]
[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]
Therefore:
[tex]m=3[/tex]
[tex]p=1[/tex]
Joe bought 3 tacos and 1 asada fry for $12.50.
Sam bought 1 taco and 2 asada fries for $13.75.
Write a system of equations that could help you
find the cost of each item.
Answers
Answer:
I am not too sure so I deeply apologize for any wrongs, but this is my thinking.
Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.
On the other hand-
Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.
Identify the axis of symmetry, vertex, and y intercept of y=-6x^2+12x-8
Answers
Answer:
See below for answers and explanations (with attached graph)
Step-by-step explanation:
It helps to transform the equation into vertex form by completing the square because it tells us a lot about the characteristics of the parabola:
[tex]\displaystyle y=-6x^2+12x-8\\\\y=-6\biggr(x^2-2x+\frac{4}{3}\biggr)\\\\y-6\biggr(-\frac{1}{3}\biggr) =-6\biggr(x^2-2x+\frac{4}{3}-\frac{1}{3}\biggr)\\\\y+2=-6(x^2-2x+1)\\\\y+2=-6(x-1)^2\\\\y=-6(x-1)^2-2[/tex]
Since vertex form is [tex]y=a(x-h)^2+k[/tex], we identify the vertex to be [tex](h,k)\rightarrow(1,-2)[/tex] and the axis of symmetry to be [tex]x=h\rightarrow x=1[/tex]. The y-intercept can be found by setting [tex]x=0[/tex] and evaluating:
[tex]y=-6(x-1)^2-2\\\\y=-6(0-1)^2-2\\\\y=-6(-1)^2-2\\\\y=-6(1)-2\\\\y=-6-2\\\\y=-8[/tex]
Hence, the y-intercept of the parabola is [tex]y=-8[/tex], or [tex](0,-8)[/tex] as an ordered pair.
A__ is the amount you pay for the purchase of a house that decreases the amount of the loan.
O A closing payment
B. closing cost
O C. origination payment
D. down payment
Answers
Answer:
Down payment
Step-by-step explanation:
Down payment is the amount you pay for the purchase of a house that decreases the amount of the loan. It decreases the amount of interest paid over the lifetime of the loan
Draw polygon abcdef in this coordinate plane, given its vertices a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
Answers
The polygon abcdef in the coordinate plane shown with area of 18 square units.
What is a regular polygon?A polygon is a geometric figure with a finite number of sides in two dimensions. On the sides or edges of a polygon, straight-line segments are joined end to end to form a closed shape. The vertices, also known as corners, are the points where two line segments meet and form an angle.
We have vertices for the polygon:
a=(-2,-3), b=(0,-3), c=(0,1), d=(3,1), e=(3,3), f=(-2,3)
After marking the coordinates on the coordinate plane and connecting the lines, we will get a polygon.
We can find the area of the shape:
Area of the shape = 18 square units
Thus, the polygon abcdef in the coordinate plane shown with area of 18 square units.
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Kyra is finding the area of the circle. She cuts the circle into equal sectors and arranges them into the shape of a parallelogram.
A circle is cut into 8 equal sections. The sections are arranged into the shape of a parallelogram with a base of 9.42 inches and height of 3 inches.
Which expression represents the approximate area of the circle in square inches?
can i pls get help :(
Answers
A circle is a curve sketched out by a point moving in a plane. The area of the circle will be equal to 28.26 in².
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the circle will be approximately equal to the area of the parallelogram. Therefore, the area of the parallelogram can be written as,
[tex]\text{Area of parallelogram} = 9.42 \times 3 = 28.26\rm\ in^2[/tex]
Hence, the area of the circle will be equal to 28.26 in².
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MARKING BRAINLIEST!
This is Poe’s most well-known poem, published in 1845, which quickly became famous. What words, lines, or features of the poem stand out to you? List three.
This is about “The raven”
Answers
Step-by-step explanation:
where is the figure and question
Ms. Wink bought a helmet for $97.95, a loek for $12.39, and a pump for $8.50. The tax was $3.82. How much change did she receive from 2 fifty-dollar bills?
Answers
Answer:
I dont think 2 50 doallr bills is gonna work
Step-by-step explanation:
all of this added togather is 122.66 and 2 50 is a 100 so yah
Question 8(Multiple Choice Worth 3 points)
(07.06 LC)
Given a polynomial f(x), if (x - 4) is a factor, what else must be true?
Of(0) = 4
F(0)=4
F(0)= -4
F(4)=0
F(-4)=0
Answers
Detailed Explanation:
A zero/root of a polynomial is a value of the variable which makes the value of the polynomial to 0.
Therefore, when (x - 4) is a Factor :-
=> x - 4 = 0
=> x = 4
=> x = 4 is the Zero of the Polynomial.
A right rectangular pyramid is sliced vertically (down) by a plane passing
through the vertex of the pyramid. what is the shape of the cross-section?
Answers
A right rectangular pyramid when sliced vertically, the shape of the cross-section is known as Triangle.
What is A triangle?This is known to be a kind of shape that is said to be in a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.
Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid, the new shape of the cross-section is a triangle.
See full question below
A right rectangular pyramid is sliced vertically (down) by a plane passing through the of the pyramid. What is the shape of the cross-section?
A. Rectangle
B. Pyramid
C. Triangle
D. Trapezoid
See full question below
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Last week a pizza restaurant sold 36 cheese pizzas, 64 pepperoni pizzas, and 20 veggie pizzas. based on this data, which number is closest to the probability that
the next customer will buy a cheese pizza?
a) 0.84
b) 0.64
c 0.36
d 0.30
Answers
36+ 64 + 20 = 120
For cheese: 36/120 = 0.3
The diameter of a ceiling fan, blade tip to blade tip, is 120 centimeters.
a) about how many whole revolutions does it take for the fan to move 1000 meters?
_______
b) if the fan rotates at 40 revolutions per minute, about how long does it take to move 1000 meters? round to the nearest minute.
_______
Answers
The number of whole revolutions for 1000 meters is 265, while the time taken to move 1000 meters with a speed of 40rev/min is 7minutes.
What is a revolution?This is the number of times a body moves round a circular path.
A revolution is equal to the circumference of a circle.
Analysis:
r = 120/2 = 60cm
1 revolution of a circle = 2πr
Let n be the number of revolutions
so that 2πr x n = 1000 x 100 since 100 cm = 1 m
n = 100000/2πr = 265 revolutions
If the Fan turns 40 rev / minute
Then it 265 revolutions = 1000 meters, 265/40 = 7 minutes
In conclusion, the number of revolutions for 1000 meters is 265 and the time taken for 265 revolutions is 7 minutes.
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What is the area of the polygon in square units?
A four-quadrant graph with an irregular polygon with vertices at negative four comma eight, five comma eight, five comma two, nine comma two, twelve comma negative six, and negative four comma negative six.
Answers
The area of the Area of the polygon is known to be 9 units². Find more about polygon below
What is the Area of a Polygon?The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.
Note that to calculate the area, it will be
Area = 1/2 (5 + 1) x 3 = 9 units²
Thus the answer of 9 units is correct.
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Samantha bought a purse for $72.25. It normally sells for $91.89. How much money did she save?
Answers
Answer:
19.64$
Step-by-step explanation:
91.89-72.25
Answer:
$19.64
Step-by-step explanation:
Candle a and candle b were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length. what was the ratio of the length of candle a to the length of candle b at first.
Answers
The ratio of the length of candle A to the length of candle B at first will be 3 / 5.
What are ratios and proportions?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
Candle A and candle B were lit at the same time. candle a could last 3 hours and candle b could last 5 hours. after 1 hour, both candles were equal in length.
Then the ratio of the length of the candle A to the length of candle B at first will be
Let the length of candle A is x and the length of candle B be y.
The common speed will be S.
Then we have
Time = length / speed
For candle A, we have
Candle A = x / S = 3 ...1
For candle B, we have
Candle B = y / S = 5 ...2
From equations 1 and 2, we have
x / 3 = y / 5
x / y = 3 / 5
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What is this? Sin? Cos? Inverse Sin? Inverse Cos?
Answers
Answer:
sin
Step-by-step explanation:
sin=O opposite/hypotenuse
If $300 is invested at a rate of 5% per year and is compounded quarterly how much will the investment be worth in 15 years?
Answers
Answer:
In 15 years the final balance will be $632.15
Step-by-step explanation:
The final balance would be $632.15 and the total compound interest would be $332.15. If you have trouble with these kind of questions in the future I suggest using a compound interest calculator that can be found online :)
Which of the following is a radical equation?
Ox√3=13
O x+√3=13
O√x+3=13
O x+3=√13
Answers
Answer:
The answer is c because of how the equation is set and made
The radical equation is √x+3=13. Therefore, option C is the correct answer.
What is radical equation?A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.
In option C, x is under radical, so it is radical equation.
Here, √x+3=13
√x=13-3
√x=10
Therefore, option C is the correct answer.
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