Find the probability that a randomly
selected point within the square falls in the
red-shaded circle.
6
18
18
P =
The probability of landing on the red shaded circle is 6/18
Concept of probabilityProbability simply measures the chances at which an event could occur in a sample or population.
Mathematically, Probability is calculated thus:
P(X) = required outcome/ Total possible outcomesHere ,
Required = red circle = 6Entire circle = 18P(red circle ) = 6/18
Therefore, the probability is 6/18
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Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
(a) Select the correct choice below and, if necessary, fill in the answer to complete your choice. A. The function is increasing over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never increasing. 2)A. The function is decreasing over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never decreasing. 3)A. The function is constant over the open interval(s) ____.(Type your answer in interval notation. Use a comma to separate answers as needed.)B. The function is never constant
Given:
1)
Required:
We need to find the interval where the function increases.
Explanation:
Recall that the function increases if the value of y is increasing on increasing the value of x.
From the graph, the give function is increasing from the point (-1,-3) to the point (3,6).
Consider the x values of the points.
\(\text{ The function is increasing over the open interval\lparen s\rparen =\lparen-1,3\rparen}\)Answer:
\((-1,3)\)2)
Required:
We need to find the interval where the function decreases.
Explanation:
Recall that the function decreases if the value of y is decreasing by increasing the value of x.
The end of the line is moving the left side to the negative infinity of x.
From the graph, the give function is decreasing from the negative infinity of x to the point (-1,-3).
Consider the values of x from the points.
\(\text{ The function is decreasing over the open interval\lparen s\rparen=\lparen-}\infty\text{,-1\rparen}\)Answer:
\((-\infty,-1)\)3)
Required:
We need to find the interval where the function is constant.
Explanation:
Recall that the function is constant when the line of the function is a horizontal line.
The end of the line is moving right to the infinity of x.
The given function is constant from the point (3,6) to positive infinity.
Consider the values of x from the points.
\(\text{ The function is constant over the open interval\lparen s\rparen=\lparen3,}\infty\text{\rparen}\)Answer:
\((3,\infty)\)Someone please help thank you
Answer:
7:12
Step-by-step explanation:
21 and 36 are both multiples of 3.
3 times 7 is 21, and 3 times 12 is 36.
Now, this ratio becomes: 3 x 7 : 3 x 12
Dividing by 3 on both sides,, we have: 7:12. The ratio 7:12 can't be simplified further, so that's the answer.
Let me know if this helps!
the answer above is correct
Suppose It takes 6.4 pounds of seed to completely plant one acre of land. Joe has 18.5 acres of land. Find the amount of seed he needs.
\(\begin{array}{ccll} lbs&acre\\ \cline{1-2} 6.4&1\\ x&18.5 \end{array}\implies \cfrac{6.4}{x}=\cfrac{1}{18.5}\implies (6.4)(18.5)=x\implies 118.4=x\)
A 12 cm by 12 cm square piece of paper has 5 holes punched out of it. 4 of the holes are circles of radius 3 cm and 1 of the holes is a circle of radius 1 cm. The paper and punched holes can be visually interpreted as below. Determine the area of paper remaining after the holes have been punched out.
5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².
Firstly, we will calculate the area of the square of paper in which the holes are punched.
Side of square = 12 cm
Area of square = side²
= (12) ²
= 144 cm²
Now, we will calculate the area of the bigger punch holes
Radius of big punch hole = 3 cm
Area of 1 big punch = π (radius) ²
= 22/7 × (3)²
22 / 7 × 9
= 198 / 7 cm²
Area of 4 punches = 4 × 198/7
= 792/7 cm²
Now, we will calculate the area of smaller punch whose radius is 1cm
Area = 22/7 × 1²
= 22/7 cm²
Now, we will calculate the total area covered by circles
Total area covered by circles = area of small punch + area of 4 big punch
= 22/7 + 792/7
= 814 /7 cm²
Remaining area = area of square - area of circles
= 144 - 814/7
= (1008 - 814) / 7
= 194 / 7
= 27.714 cm²
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Draw a picture to represent the situations below. Then write an inequality for each situation.
5. Jessica has more than $80 in her bank.
share 240 in the ratio of 3:5
Answer:
90 to 150
Step-by-step explanation:
5+3=8
240÷8=30
30×3=90
30×5=150
Answer:
90 to 50
hi I hope this is helped you
Step-by-step explanation:
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In a gambling game, you roll 2 die and if you toss 2 sixes, you win $100, otherwise you lose $5.
a. What is the chance you win?
b. What is the expected value of the game?
Answer:
a. \(\frac{1}{36}\) chance you win.
b. The expected value of the game is -$2.08.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
You roll 2 die and if you toss 2 sixes
For each roll, 6 possible values, 1 of which is 6. So the probability of rolling two sixes is:
\(p = (\frac{1}{6})^2 = \frac{1}{36}\)
a. What is the chance you win?
\(\frac{1}{36}\) chance you win.
b. What is the expected value of the game?
1/36 probability of winning 100.
35/36 probability of losing 5. So
\(E = \frac{1}{36}*100 - \frac{35}{36}*5 = \frac{100 - 175}{36} = -\frac{75}{36} = -2.08\)
The expected value of the game is -$2.08.
What times what gives you 5700?
Answer:
57 × 10 will give you 5700, as well as 285 × 20.
Evaluate.
0^2=
I do not get this way toooooooo hard
Answer:
zero
Step-by-step explanation:
Answer:The answer is 0
Step-by-step explanation: Sorry i didn't explain it.
4. The perimeter of a row of tiles is 41 inches. How many tiles are there in the row?
Answer: 10.25
Step-by-step explanation: add 10.25 4 times and see what you get
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Polygons QRST and Q′R′S′T′ are shown on the following coordinate grid:
A coordinate plane with two polygons is shown. Polygon QRST has vertices Q at 3 comma negative 5, R at 2 comma negative 1, S at 5 comma 0, and T at 5 comma negative 4. Polygon Q prime R prime S prime T prime has vertices at Q prime negative 5 comma negative 4, R prime at negative 1 comma negative 3, S prime at 0 comma negative 6, and T prime at negative 4 comma negative 6.
What set of transformations is performed on QRST to form Q′R′S′T′?
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the right
A 180-degree clockwise rotation about the origin followed by a translation 1 unit to the left
A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the originStep-by-step explanation:
See the picture for better visual
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
This rotation rule is:
(x, y) → (y, -x)We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
We now can conclude the correct choice is D:
A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the originA boat leaves the entrance to a harbor and travels 100 miles on a bearing of N 58° E . How many miles north and how many miles east from the harbor has the boat traveled?
Answer:
Miles traveled east: 99.29
Miles traveled north: 55.14
Step-by-step explanation:
You can see the attached image if you want a visual.
To find miles traveled east:
sin(58°)=x/100
100*sin(58°)=x
x=99.29 miles
To find miles traveled north:
58°+90°=148°
180°-148°=32°, angle y=32°
sin(32°)=y/100
100*sin(32°)=y
y=55.14 miles
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
Answer:
A and B
Step-by-step explanation:
Vertical angles are angles that are opposite of each other on two crossing lines.
They have equal angle measure.
When we look at the image, we can tell that, from the given options:
A. <LRA and <FRA and
B. <TRF and <NRL are vertical angles.
Five times the product of negative four and a number
Answer:
-20x
Step-by-step explanation:
Let the number be x.
The product of -4 and this number is -4x.
5 times this is 5(-4x), which simplfiies to -20x.
how did cotton production affect the Texas economy? We have to write it in our own words. You don't have to write the whole answer just give some ideas.
Answer:
it made Texas thrive because they were one of the leading cotton producers and made a lot of money off of it
ten minutes later airplane 2 lands with a rate of descent of -97/8 feet per second. which airplane had the fastest rate during its landing?
Airplane 1 had the fastest rate of descent during its landing.
To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.
Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:
-130 ft/s × 60 s/min = -7800 ft/min
Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:
(-97/8) ft/s × 60 s/min = -729.375 ft/min
Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:
-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)
Therefore, Airplane 1 had the fastest rate of descent during its landing.
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At the candy store you can buy 20 ounces of Jolly Ranchers for $1. You could also buy 30 ounces of Skittles
for $1.50. Which cost more per ounce? Explain.
Cost of Jolly Ranchers per ounce
\(\\ \sf\longmapsto 1\div 20=0.05\$\)
Cost of Skittles per ounce
\(\\ \sf\longmapsto 1.5\div 30=0.05\$\)
Same prices
Caleb has 27 gumballs he wants to share among 3 people. How many gumballs will each person get
Each person will get 9 gumballs.
What is Unitary Method?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Caleb has 27 gumballs he wants to share among 3 people.
So, the number of gumballs each person get
= 27/ 3
= 9
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the grasshopper population in Georgia is currently 4,000. It's growing by 2.3% each year. Write an equation that models the situation.
Answer:
\(4000(1.023)^t\\\\\)
Step-by-step explanation:
Using this exponential growth equation we can get an equation that models the situation.
A= Principal Amount
R= Rate of Growth
T= Amount of time
\(A=4000\\R=2.3/100=.023\\T= Non\)
\(A(1+R)^t\\4000(1+0.23)^t\\4000(1.023)^t\\\\\)
A dance company raises $3,256 to buy fruit baskets to send to a city that has experienced a hurricane. Each fruit basket costs $23.
What is the maximum number of fruit baskets the dance company buy?
Enter your answer in the box. Pls help me:(.
if I buy a dozen cupcakes for $16.80, How much will 16 cupcakes cost.
Answer:
i aint gon lie evolution and natural selection?
Step-by-step explanation:
Use this proportion to solve for the value of x. (Look at the pictures provided)
Given: Two triangles with their areas and sides and the proportion
Required: The value of x.
Explanation:
Put the values of areas and sides in the given proprtion:
Area of left triangle is given as 34 inches square
Area of right triangle is given as 96 inches square
Side of left triangle is 10 in
Side of right triangle is x
Putting these values
\(\frac{34}{96}=(\frac{10}{x})^2\)Solve for x
\(\begin{gathered} \frac{34}{96}=\frac{100}{x^2} \\ x^2=\frac{9600}{34} \end{gathered}\)So
\(\begin{gathered} x^2=282.35 \\ x=16.8 \end{gathered}\)So the value of x is 16.8 inches.
Final Answer x is 16.8 inches.
Look at the expression below.
2h+y
40
917-y2
3h+y
Which of the following is the least common denominator for the expression?
O A. (3h + y)
ОВ.
(3h-y)(3h + y)
O C.
(3h+y)(3h + y)(3h - y)
OD. 3(h+y)(n-y
Answer:
B
Step-by-step explanation:
apply difference of two squares
SOMEBODY HELP !!!!!!!
Answer:
i got
\( - \frac{11}{12} \)
I do not know if I'm right please tell me me if I'm wrong
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
ABC is translated right 5 units and down 5 units
Step-by-step explanation:
The vertices of the original and new triangles haven't moved. Only the triangle as a whole moved from one place to another. The other choices involved reflecting the triangle in which the vertices change locations that are different from their original locations. Hope this helps!
what is the answer to 5 + 5
Answer:
10
Step-by-step explanation:
Add: f(x)+g(x)
f(x) = 2x2 – 3x² + 7x+1
g(x) = 4x2 + 5x +12
Submit
Answer:
\(f(x) + g(x) = 2x^3 + x^2 + 12x + 13\)
Step-by-step explanation:
We are given these following functions:
\(f(x) = 2x^3 - 3x^2 + 7x + 1\)
\(g(x) = 4x^2 + 5x + 12\)
Add: f(x)+g(x)
To add them, we combine the like terms. So
\(f(x) + g(x) = 2x^3 - 3x^2 + 7x + 1 + 4x^2 + 5x + 12 = 2x^3 + (-3+4)x^2 + (7+5)x + 1 + 12 = 2x^3 + x^2 + 12x + 13\)
The added function is:
\(f(x) + g(x) = 2x^3 + x^2 + 12x + 13\)
Which transformation results in the function?
The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,
How to describe the transformation from the parent function?From the question, we have the following functions that can be used in our computation:
f(x) = x²
g(x) = (4x)²
Mathematically, these equations can be represented as
g(x) = f(4x)
The above equations implies that, we have the transformation to be:
The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4
Hence, the transformed function is (a)
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