Total number of plays executed = 60 plays
Total number of successful plays = 42
Percent of Christopher's plays were successful =
\(undefined\)pls I'm in need of urgent helpppppppp.
question (ii) is my main problem. pls help immediately you get this question. thanks in advance.
A committee of 4 people is to be chosen from 5 married couples. Find in how many ways the committee can be chosen if :
i) everyone is equally eligible
ii) the committee should include at least one woman.
Answer:
So your best bet is everyone is equally eligible although I dont really know wait for other answers
Step-by-step explanation:
Find the area of a circle and use 3.14 for pi
The area of the shaded region of a circle with a 100 degree angle and a radius of 3cm, using pi=3.14, is approximately 25.64 square centimeters.
To find the area of the shaded region of a circle, we need to subtract the area of the sector formed by the shaded region from the area of the whole circle.
The area of the whole circle is given by
A = πr²
where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14 (as given in the question).
Substituting the given values, we get
A = π(3cm)²
A = 28.26 cm² (rounded to two decimal places)
Now, let's find the area of the sector formed by the shaded region.
The angle of the sector is given as 100 degrees. To find the area of the sector, we need to use the formula:
A = (θ/360)πr²
where θ is the angle in degrees, r is the radius of the circle, and π is again approximately equal to 3.14.
Substituting the given values, we get
A = (100/360)π(3cm)²
A = 2.62 cm² (rounded to two decimal places)
Finally, we can find the area of the shaded region by subtracting the area of the sector from the area of the whole circle
Shaded area = Area of circle - Area of sector
Shaded area = 28.26 cm² - 2.62 cm²
Shaded area = 25.64 cm² (rounded to two decimal places)
Therefore, the area of the shaded region of the circle is approximately 25.64 square centimeters.
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--The given question is incomplete, the complete question is given
" Find the area of a shaded region of circle and use 3.14 for pi "--
2
Let g(x) = x + 4x-7.
What is g(x) in graphing form?
(x + 2) - 7 = 4
O g(x) = (x + 2)²-7
Onone of the answer choices
x² + 4x-7=0
O g(x) = (x + 2)² - 11
The graphing form of the function g(x) is: C) none of the answer choices.
The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.
Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:
a = 1 (coefficient of x^2)
b = 4 (coefficient of x)
c = -7 (constant term)
Therefore, the graphing form of the function g(x) is:
C) none of the answer choices
None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.
In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.
The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C
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is it true that two pairs of adjacent sides of a kite are equal
Yes , it is true that two pairs of adjacent sides of a kite are equal .
A kite is a quadrilateral with two pairs of equal adjacent sides. The angles between adjacent pairs of sides are equal. The kite shape is a rectangle with two pairs of adjacent sides of equal length. The side pairs of the kite are not parallel, but the diagonal pairs are equal.If two sides share a common angle, then they are called adjacent sides.A quadrilateral with two pairs of adjacent sides equal in length is called a kite. Kites also have one pair of opposite angle equal as shown in the figure below.
Hence , the given statement is true .
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If log, 7 -3 what is the value of x?
A. 21
B. 3V7
C. 37
D. 343
Answer:
B
Step-by-step explanation:
logₓ 7 = 3
x³ = 7
Take cube root both sides
\(x= \sqrt[3]{7}\)
(5-3i)+(4+2i) what is the solution ?
Answer:
−14+22i
Step-by-step explanation
yourwelcome
Answer:
-i + 9 should be the right answer
Phil wants to enlarge a photo that is 6 inches wide and 8 inches tall. The enlarged photo keeps the same ratio. How tall is he enlarged photo if it is 12 inches wide
Answer:
The file contains the solution to the question
Marcus had a debt of $120 on his credit card. He made a payment to the account, leaving $47 of debt remaining. What integer best represents the change in Marcus’s credit card balance?
Answer:
73
Step-by-step explanation:
120-47=73 simple math
120 was divided by a particular number, then 7 was taken from the quotient. afterwards, this difference was multiplied by 5. giving a product of 25. find the particular number.
The particular number from the given equation is 10.
Given that, 120 was divided by a particular number.
Let the particular number be x.
Here, 120/x
7 was taken from the quotient
120/x -7
The difference was multiplied by 5.
5(120/x -7)
Giving a product of 25
5(120/x -7)=25
120/x -7=5
120/x=12
120=12x
x=120/12
x=10
Therefore, the particular number from the given equation is 10.
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Solve for the missing side length. Round to the nearest tenth.
5.8
5.2
5.4
5.6
Answer:
C) 5.4-------------------------
Given two legs of a right triangle and we need to find the hypotenuse.
Use Pythagorean theorem:
\(PQ = \sqrt{QR^2+PR^2}\)\(PQ = \sqrt{2^2+5^2} =\sqrt{29} =5.385 = 5.4\ (rounded)\)The matching choice is C.
Seventy-five 6th- grade students chose to watch a movie on the last day of school. This is 25% of the 6th-grade class. How many total students are in the 6th grade?
Compute the missing x and y values so that each ordered pair will satisfy the given equation y=2x+4
The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.
Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.
For example, let's say one missing value is x = 3. We can substitute this into the equation:
y = 2(3) + 4
y = 6 + 4
y = 10
So, the missing ordered pair is (3, 10).
Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:
8 = 2x + 4
4 = 2x
x = 2
So, the missing ordered pair is (2, 8).
In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).
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1. A. What is the formula for the Pythagorean Theorem? (1 point)
B. Find the missing leg of the triangle using the Pythagorean Theorem. Remember that drawings may not be to scale (Round to the nearest tenth).
Show your work. (4 points)
20 ft
18 ft
x
Answer:
side 1^2 + side 2 ^2 = hypotenuse ^ 2
18^2 + 20^2 = hypotenuse^2
324 + 400 = 724
hypotenuse^2 = 724
hypotenuse = 26.9072480941474
hypotenuse = 26.9
Step-by-step explanation:
Will give brqinlist if correct
Answer:
7 + 8x
Step-by-step explanation:
-11 + 2 (4x -1) + 6
=> -11 + 8x -2 + 6
=> -13 + 8x + 6
=> -7 + 8x
So, the simplified expression is 7 + 8x.
h(x) = x2 + 1 k(x) = x – 2
Evaluate 3h(2) + 2k(3) =
Answer:
17
Step-by-step explanation:
\(h(x) =x^2 +1\\k(x)=x-2\\\\3h(2)+2k(3)\\\\h(2)= ?\\k(3)=?\\\\h(2) = (2)^2 +1\\= 4+1\\h(2)=5\\\\\\k(3)= 3-2\\k(3) = 1\\\\3h(2) +2k(3)\\\\= 3(5)+2(1)\\=15+2\\3h(2)+2k(3) = 17\)
5, 9, and 17
Step-by-step explanation:
Three spherical balls with radius r are contained in a rectangular box. two of the balls are each touching 5 sides of the rectangular box and the middle ball. the middle ball also touches four sides of the rectangular box. What is the volume of the space between the balls and the rectangular box? This is a SAT question and is no calculator. Show all the work Answer is 4r^3(6-pi)
Answer:
The volume of the space between the balls and the rectangular box is \(4r^{3}(6 - \pi)\)
Step-by-step explanation:
The attachment below shows the description of the rectangular bow and the three spherical balls.
From the description,
Two of the balls are each touching 5 sides of the rectangular box, say the 5 sides touched by one of the balls are sides 1,2,3,4, and 5; then the other ball will touch sides 2,3,4,5, and 6). The middle ball also touches four sides of the rectangular box, These four sides touched by the middle ball will be sides 2,3,4, and 5.This means the balls are tightly fitted into the rectangular box.
Each of the balls has a radius r
Hence, The volume of one of the balls is given by the volume of a sphere
\(Volume of a sphere = \frac{4}{3} \pi r^{3} \\\)
The volume occupied by one of the balls is \(\frac{4}{3} \pi r^{3} \\\)
∴ The volume occupied by the three spherical balls will be
3 × \(\frac{4}{3} \pi r^{3} \\\)
= \(4\pi r^{3}\)
The volume occupied by the three spherical balls \(4\pi r^{3}\)
For the rectangular box,
The volume of a rectangular box = \(l w h\)
Where \(l\\\) is the length
\(w\) is the width and
\(h\) is the height
Since the balls are tightly packed,
The width of the rectangular box will be the diameter of the balls
diameter of the balls = 2r
∴ \(w\) = 2r
The height of the rectangular box will also be the diameter of the balls
∴ \(h\) = 2r
The length of the rectangular box will be 3 times the diameter of the balls
∴\(l\) = 3 × 2r = 6r
Hence,
The volume of a rectangular box = 6r × 2r × 2r
= 24r³
The volume of the space between the balls and the rectangular box is given by
Volume of the space between the balls and the rectangular box =
volume of the rectangular box - volume occupied by the three spherical balls
Volume of the space between the balls and the rectangular box= 24r³ - 4πr³
= 24r³ - 4πr³
= 4r³(6 - π)
the equation of line v is y= 9/2x + 5. line w is perpendicular to v. What is the slope of line w? Simplify your answer
Answer:
-9/2x
Step-by-step explanation:
if its perpendicular to it then you just add a negative sign
what is the average acce;eration of the particle over the interval 2
The particle's average acceleration between (1,3) and (3,3) is 0 m/s2.
What is coordinates?The ordinate is the distance of a point from the x-axis scaled with the y-axis. Coordinates are the abscissa and ordinate combined. The study of algebraic equations on graphs is known as coordinate geometry. Plotting points, lines, and curves on an x and y axis is an example of coordinate geometry. Make corrections. Coordinates are a pair of numbers that are used to locate a point or shape in a two-dimensional plane. A point's position on a 2D plane is defined by two numbers called the x-coordinate and the y-coordinate.
Here,
A= velocity/time
Points: ( 1,3) (3,3)
Velocity: 3-3=0
Time: 3-1=2
0/2= 0 meters/seconds^2
The average acceleration of the particle over the interval (1,3) and (3,3) is 0 m/s^2.
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Complete question:
What is the average acceleration of the particle within the time interval 1 second to 3 seconds? A. -1 meter/second2 B. 0 meters/second2 C. 1 meter/second2 D. 1.5 meters/second2 E. 2 meters/second2
Find two square numbers that total 45
Help please 111119228282
Here we have a dilation of scale factor 2.
How to describe the enlargement?We can see that bot figures we have the same slope, so we just have a dilation of scale factor K to go from figure A to figure B.
To find the value of K, notice that for some side length L in figure A, the correspondent length L' in figure B must be:
L' = K*L
Here if we use the left sides, we will get:
for figure A; L= 2
for figure B: L = 4
4 = K*2
4/2 = K
2 = K
So this is a dilation of scale factor k = 2.
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A coral reef grows 0.14 m every week. How much does it grow in 13 weeks?
Answer: 1.82 m
Step-by-step explanation:
Ratios
0.14 n 0.14 x 13 = 1.82
1. 13 1.82/1 = 1.82
he perimeters of the square and the regular pentagon are equal. A square with side lengths of 3x + 3. A pentagon with side lengths of x + 8. What is the perimeter of each polygon?
Answer:
42
Step-by-step explanation:
Just took this thing
Answer:
The perimeter of both of the objects is 42
Step-by-step explanation:
I took it on Edgenuity 2020. Also, I got it right on the unit test.
You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
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ROADS The city added an extra lane in each direction to the 5 lane road?
FIND THE PERCENT OF CHANGE. ROUND TO THE NEAREST WHOLE PERCENT IF NECESSARY. STATE WEATHER THE PERCENT CHANGE IS increase or decrease.
Answer:
20 percent is added
Step-by-step explanation:
The price of an item has been reduced by 95% the original price was $17
Answer:$0.85
Step-by-step explanation:
.95x17= 16.15 17.00-16.15=0.85
What are the clear steps for solving for x question (5x + 2)
Answer:
x= -2/5
Step-by-step explanation:
(5x+2)=0
-2 -2
5x=-2
------------
5
x= -2/5
Given
, complete Parts A and B.
Part A: Using the table provided, create five points to demonstrate that for the function
, there is exactly one output value for each corresponding input value. In your final answer, include all calculations and the completed table.
Part B: On a separate sheet of paper, use the points created in Part A to graph the function
. Label the values on the
- and
-axes, and all points on the graph.
WRITER
All five points to demonstrate that for the function are,
(1, - 1/3) , (2, 1/3) , (3, 1), (4, 5/3) and (5, 7/3)
And, Graph for points are shown in figure.
We have to given that;
Function is defined as,
⇒ f (x) = 2/3x - 1
Now, We can find five points to demonstrate that for the function as,
Here, Function is defined as,
⇒ f (x) = 2/3x - 1
At x = 1;
⇒ f (1) = 2/3 - 1
⇒ f (1) = - 1/3
At x = 2;
⇒ f (x) = 2/3x - 1
⇒ f (2) = 2/3 × 2 - 1
⇒ f (2) = 4/3 - 1
⇒ f (2) = 1/3
At x = 3;
⇒ f (x) = 2/3x - 1
⇒ f (3) = 2/3 × 3 - 1
⇒ f (3) = 1
At x = 4;
⇒ f (x) = 2/3x - 1
⇒ f (4) = 8/3 - 1
⇒ f (4) = 5/3
At x = 5;
⇒ f (x) = 2/3x - 1
⇒ f (5) = 10/3 - 1
⇒ f (x) = 7/3
Thus, All five points to demonstrate that for the function are,
(1, - 1/3) , (2, 1/3) , (3, 1), (4, 5/3) and (5, 7/3)
And, Graph for points are shown in figure.
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HELP! I need this done now!
John ran 3 miles in 25.5 minutes. The equation y = 8.5x can be used to represent this situation.
What is the constant of proportionality? Express your answer as a decimal.
Answer:
.................................................................................................................................
i need a y=mx+b problem
Answer: y=x^2
Step-by-step explanation: There are first of all squares, so you have to multiply the sides. Well and the figure 2 has a side of two smaller squares. So you know x is the argument, in this case the number of the figure, because it is regularly you know that x as example for figure 7 is seven so you have to multiply 7 by 7. This isn’t linear.
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!