Answer:
Always is the answer I believe.
A sample of adults was asked to choose their favorite sport to watch from a list of four sports. Age Range 18-30 31-50 51 Total Sport Football 15 19 17 51 Baseball 7 12 18 37 Basketball 15 8 11 34 Soccer 12 9 6 27 Total 49 48 52 149 What proportion of those surveyed chose basketball as their favorite sport? StartFraction 34 Over 149 EndFraction StartFraction 15 Over 49 EndFraction StartFraction 18 Over 52 EndFraction StartFraction 37 Over 149 EndFraction
The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)
Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
To calculate the number of adults who chose basketball, we sum up the values from the age range categories:
Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball
Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:
Number of adults who chose basketball = 15 + 8 + 11 = 34
Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:
Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)
From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:
Total number of surveyed adults = 49 + 48 + 52 = 149
Now, we have the values we need to calculate the proportion:
P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)
= 34 / 149
Hence the correct option is (a).
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900 takeway 300 divided bye 30
Answer:
20
Step-by-step explanation:
900-300=600
600 divided by 30 is 20
4 A radio mast of height
5 m is anchored to the ground by a
6.25 m long cable. The cable is anchored to a point
3.75 m from the base of the mast.
Is the mast vertical? Explain your answer.
On the base of given lengths of the mast, cable, and base distance, the mast is not vertical. The discrepancy in the Pythagorean equation suggests an inconsistency in the dimensions of the system.
To determine if the mast is vertical, we need to consider the geometry of the situation and the lengths of the mast and the cable.
Given that the height of the mast is 5 m and the cable is 6.25 m long, we can visualize the scenario as a right triangle.
The mast represents the vertical side (opposite side) of the triangle, the cable represents the hypotenuse, and the distance from the base of the mast to the point where the cable is anchored represents the base (adjacent side) of the triangle.
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, as per the Pythagorean theorem.
Applying the theorem to this situation, we have:
(base)^2 + (height)^2 = (cable)^2.
Substituting the given values:
(3.75)^2 + (5)^2 = (6.25)^2.
Simplifying:
14.0625 + 25 = 39.0625.
39.0625 ≠ 39.0625.
The equation does not hold true, indicating that the mast is not vertical. The discrepancy suggests that the length of the cable is not appropriate for the given height and base distance.
To have a vertical mast, the length of the cable should be equal to the distance between the base and the point where the cable is anchored. In this case, the cable should be 3.75 m long, which is equal to the distance between the base and the anchor point. However, the given cable length is 6.25 m, which does not correspond to a vertical configuration.
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please help quickly !! will give brainliest !!
Will mark Brainlest, if you answer fast!!!
Answer:
-2x
Step-by-step explanation:
would a triangle with the sides of 16 m, 30 m, and 34 m make a right triangle?
Answer:
Yes, it would make a right triangle.
Step-by-step explanation:
A right triangle must follow the equation: a^2 + b^2 = c^2
16^2 + 30^2 = 34^2
256 + 900 = 1156
1156 = 1156
Mathematics shape question. 30 points, must show working out + try your best to be correct!
Answer:
65 cm
Step-by-step explanation:
You want the perimeter of the shape that results from removing a 60° sector from a circle.
Curved edgeThe curved edge of the shape is 5/6 of the circumference of the circle.
5/6C = 5/6(2πr) = 5/6·2·π·(9 cm) = 15π cm ≈ 47 cm
Straight edgesEach straight edge of the shape has a length equal to the radius. Then the straight edges have a total length of ...
2r = 2(9 cm) = 18 cm
PerimeterThe perimeter of the shape is the sum of the length of its curved edge and the lengths of the straight edges:
P = 47 cm + 18 cm = 65 cm
The perimeter is about 65 cm.
__
Additional comment
A total circle is 360°, so 1/6 of the circle is 60°. The size of a sector of a circle can be described by the angle measure of its central angle. Here, that means the removed portion is a 60° sector.
1. Triangle L'M'N' is a dilation of triangle LMN. What is the measure of x?
A. 5
B. 6
C. 7
D. 8
In 2014, the population of the world was about 7,125,000,000 people.
Choose the best approximation of the world population in 2014.
Choose 1 answer:
7x10^8 people
7x10^9 people
Answer:
7x10^9 people
Step-by-step explanation:
7x10^8 people is equivalent to 700,000,000 people. That is not right. The answer should be the second option.
Answer:
the answer is 7x10^9
Step-by-step explanation:
PLZ HELP!!! Due today!!
Picture is there!
Answer:
a. Perimeter of the figure = 80 units
b. Area of the figure = 480 square units
Step-by-step explanation:
Length of side of octagon
\( =2\sqrt {13^2 - 12^2} \)
\( =2\sqrt {169 - 144} \)
\( =2\sqrt {169 - 144} \)
\( =2\sqrt {25} \)
\( =2\times 5\)
\( =10\: units\)
a. Perimeter of the figure = 8*10 = 80 units
b. Area of the figure
\( = 8 \times \frac{1}{2} \times 10 \times 12 \\ \\ = 4 \times 120 \\ \\ = 480 \: {units}^{2} \)
on the 1st of January a student puts N10 in a box. on the 2nd she puts N20 in the box. putting the same number of 10 naira notes as the day of the month. how much money will be in the box if she keeps doing this for the first 10 days of January and the whole of January
Answer:
N550
N4960
Step-by-step explanation:
10 days
First day: N10
Second day: N20
Third day: N30
...
Tenth day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 80 + 90 + 100
sum = (n/2)[2a+(n−1)d]
a = 10; n = 10; d = 10
sum = (10/2) × [2(10) + (10 - 1)(10)]
sum = 5[20 + 9(10)]
sum = 5[110]
sum = 550
Answer: N550
31 days
First day: N10
Second day: N20
Third day: N30
...
Thirty-first day: N100
Sum of sequence: 10 + 20 + 30 + 40 + ... + 290 + 300 + 310
sum = (n/2)[2a+(n−1)d]
a = 10; n = 31; d = 10
sum = (31/2) × [2(10) + (31 - 1)(10)]
sum = 15.5[20 + 30(10)]
sum = 15.5[320]
sum = 4960
Answer: N4960
If a driver brings a car traveling at 22 m/s to a full stop in 2.0 s with an acceleration of -8 m/s?, then how far did the car travel while braking?
The car traveled a distance of 30.25 meters while braking.
When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.
The relevant equation to use in this case is:
\(v^2 = u^2 + 2as\)
where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.
Substituting the given values into the equation, we get:
\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)
Simplifying this equation, we get:
\(0 = 484 m^2/s^2 - 16s\)
\(16s = 484 m^2/s^2\)
\(s = (484 m^2/s^2) / 16s = 30.25 m\)
Therefore, the car traveled a distance of 30.25 meters while braking.
This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.
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Determine which equations below have x = 15 as a solution Circle all that apply. Explain the method you used to derive your answers
A 315
B
1.5
C2 - 12=27
D. 4 + 19
O E = 10
Answer:
3 x = 15
Step-by-step explanation:
you need to divide the 15 by 10, 3 times and the you will get five
and it says Determine which equations below have x = 15 as a solution.
I have to find the value of X in -3.8 - 13.4x = 460.606
Calculate the mean, median, and mode for the set 7, 9, 8, 8, 10, 9, 8, 7, 8, 6, 9, 5, 6, 8, 9, 7, 7, 8, 10, 8 please answer asap
Step-by-step explanation:
Mean (Average):7.89474. Median (Middle):8. Mode (Most Common):8
Answer:
Mean= 7+9+8+8+10+9+8+7+8+6+9+5+6+8+9+7+7+8+10+8/20= 7.85
Mode= 8(the most repeated number)
Median= 7+8/2=7.5 (the two numbers in the middle divided 2)
Triangle RAD is reflected over the x-axis to form triangleR'A'D' (not shown). Then triangle R'A'D'is
translated to form triangle R" A"D"(not shown). Point A" is shown plotted on the xy-plane after the second
transformation. Determine the coordinates of D"?
OD" (7,2)
O D" (9,-10)
OD" (4,-2)
OD" (7-10).
Answer:
(7,-10)
Very educated guess
melanie is cutting a 6 1/2 inch piece of yarn from a string that is 15 3/4 inches long how much yarn will be left
Answer:
9 1/4 inches would be left
Step-by-step explanation:
Find numbers x and y satisfying the equation 3x + y = 12 such that the product of x and y is as large as possible.
To find numbers x and y that satisfy the equation 3x + y = 12 such that the product of x and y is as large as possible, we can use the concept of optimization. The maximum product occurs when x and y are equal, resulting in a balanced distribution of values. In this case, x = y = 4 is the solution.
We can solve the given equation 3x + y = 12 for y in terms of x by subtracting 3x from both sides: y = 12 - 3x. Now, we want to maximize the product of x and y, which is given by P = xy.
By substituting y = 12 - 3x into the expression for P, we get P = x(12 - 3x) = 12x - 3x^2. To find the maximum value of P, we can take the derivative with respect to x and set it equal to zero: dP/dx = 12 - 6x = 0.
Solving this equation gives x = 2, and substituting this back into the equation 3x + y = 12 gives y = 6. Thus, the numbers x and y satisfying the equation and maximizing the product xy are x = y = 4.
Therefore, when x and y are both equal to 4, the product of x and y is maximized, resulting in the largest possible value.
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Pls urgent help needed Bcz exam tmrw
The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)
The expression im terms of x for the perimeter of the triangle is 31 = (3x - 5) + (2x - 1) + (x + 1)The value of x is 6How to find the perimeter of a triangle?Simplify 4a + 3b - a + 3b + 6
collect like terms
= 4a - a + 3b + 3b + 6
= 3a + 6b + 6
factorize
= 3(a + 2b + 2)
side a = 3x - 5
side b = 2x - 1
side c = x + 1
Perimeter = 31 cm
The perimeter of a triangle = side a + side b + side c
31 = (3x - 5) + (2x - 1) + (x + 1)
31 = 3x - 5 + 2x - 1 + x + 1
31 = 6x - 5
Add 5 to both sides
31 + 5 = 6x
36 = 6x
divide both sides by 6
x = 36/6
x = 6
Therefore, the value of x from the perimeter of the triangle is 6
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Suppose we have a function f : N → N defined by f(x) = 2x + 1. Describe each of the following sets, where E and O denote the sets of even and odd natural n umbers, respectively.
al range(f) bl f(E) [cl f(0) [d f (E)
The range of f is the set of all odd natural numbers, f(E) is the set of all natural numbers that are multiples of 4 plus 1, f(0) is the set {1}, and f(O) is the set of all natural numbers that are multiples of 4 minus 1.
a) The range of f, denoted range(f), is the set of all possible output values of a function. In this case, the range is {3, 5, 7, 9, ...}, which is the set of all odd natural numbers.
b) f(E) is the set of all f(x) such that x is an even natural number. Thus, f(E) = {5, 9, 13, 17, ...}. This is the set of all natural numbers that are multiples of 4 plus 1.
c) f(0) = 2(0) + 1 = 1. Thus, f(0) = {1}.
d) f(O) is the set of all f(x) such that x is an odd natural number. Thus, f(O) = {3, 7, 11, 15, ...}. This is the set of all natural numbers that are multiples of 4 minus 1.
The range of f is the set of all odd natural numbers, f(E) is the set of all natural numbers that are multiples of 4 plus 1, f(0) is the set {1}, and f(O) is the set of all natural numbers that are multiples of 4 minus 1.
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what is−1/2−(−5/9) as a fraction in simplest form
Answer:
1/18
Step-by-step explanation:
-9/18 + 10/18
Answer:
1/18
Step-by-step explanation:
how many minutes does it take to wash, dry, and fold four loads of laundry using a pipelining approach
It will take 180 minutes to wash, dry, and fold four loads of laundry using a pipelining approach.
Using a pipelining approach for laundry, we can complete the tasks more efficiently by dividing them into stages. Let's break it down step by step:
1. Washing: Let's assume it takes 30 minutes to wash a single load of laundry.
2. Drying: Let's assume it takes 45 minutes to dry a single load of laundry.
3. Folding: Let's assume it takes 15 minutes to fold a single load of laundry.
Now, using the pipelining approach:
1. Load 1: Wash (30 minutes) → Dry (45 minutes) → Fold (15 minutes) = 90 minutes
2. Load 2: Wash (30 minutes) → Dry (45 minutes) → Fold (15 minutes)
3. Load 3: Wash (30 minutes) → Dry (45 minutes) → Fold (15 minutes)
4. Load 4: Wash (30 minutes) → Dry (45 minutes) → Fold (15 minutes)
The total time taken for four loads of laundry using a pipelining approach will be:
- Time to wash, dry, and fold Load 1: 90 minutes
- Time to wash Load 2: 30 minutes (as drying and folding of Load 1 can be done simultaneously)
- Time to wash Load 3: 30 minutes (as drying and folding of Load 2 can be done simultaneously)
- Time to wash Load 4: 30 minutes (as drying and folding of Load 3 can be done simultaneously)
Total time = 90 + 30 + 30 + 30 = 180 minutes
It will take 180 minutes to wash, dry, and fold four loads of laundry using a pipelining approach.
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Select the three ratios that represent the number of blue marbles to red marbles.
Answer:
so if the number was 3 red marbles and 5 blue marbles the ratio would be 3:5
Step-by-step explanation:
pls help..A toy store orders jigsaw puzzles for 3.05 and sells tham for 4.95 what is the percent of markup
a) 19%
b)38.5%
c)61.2%
d)62.3%
Answer:
The answer is 62.3% hope this helps
9. Look at some of the printed letters in a textbook. The small horizontal
and vertical segments attached to the ends of the letters are called
serifs. Most of the letters in a textbook are in a serif typeface. The
letters on this page do not have serifs, so these letters are in a sans-
serif typeface. (Sans means "without" in French.) The figure shows a
capital letter A with serifs. Use the given information to write a
paragraph proof that the serif, segment HI, is parallel to segment JK.
Given: 21 and 23 are supplementary.
Prove: HI || JK
By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.
To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.
First, let's examine the given figure and information.
We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.
To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.
Supplementary angles are defined as two angles whose measures sum up to 180 degrees.
We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.
Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.
Now, let's assume that segments HI and JK are not parallel.
In this case, if we extend lines HA and JA, they will eventually intersect at point P.
Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.
However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.
Therefore, our assumption that segments HI and JK are not parallel must be incorrect.
Consequently, we can conclude that segment HI is indeed parallel to segment JK.
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The content dimension of a message deals with the _____ of a message, while the relational dimension of a message deals with the _____ of a message.
The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.
Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.
"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."
Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.
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true or false? if y(t) solves the ivp y'' = 3y' 5y; y(0) = 8, then the funtion y(t-2) solves the ivp y'' = 3y' 5y; y(2) = 8.
True, if y(t) solves the IVP y'' = 3y' + 5y with y(0) = 8 then the function y(t-2) will solves the same ivp y'' = 3y' 5y; y(2) = 8.
If y(t) is a solution to the initial value problem y'' = 3y' + 5y; y(0) = 8, then y(t-2) solves the ivp y'' = 3y' +5y; y(2) = 8.
To see why this is true, let's substitute t - 2 into the equation and initial condition:
1. Equation:
We have y"(t-2) = 3y'(t-2) + 5y(t-2). This is equivalent to the original equation y'' = 3y' + 5y
2> Initial condition:
We substitute t = 2 into the function y(t-2) which gives us y(2-2) = y(0) = 8
Thus, the initial condition y(2) = 8 is satisfied by y(t-2).
Therefore, if y(t) solves the IVP y'' = 3y' + 5y with y(0) = 8 then the function y(t-2) will solves the same ivp y'' = 3y' 5y; y(2) = 8.
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Solve the linear equation for x.
–4.8(6.3x – 4.18) = –58.56
Answer:
2.6
Step-by-step explanation:
a total of tickets were sold for the school play. they were either adult tickets or student tickets. there were 53 more student tickets sold than adult tickets. how many adult tickets were sold?
Total 250 adult tickets are sold.
Let a = number of adult tickets sold
Let s = number of student tickets sold
a + s = 553
s = a + 53
From above equations;
a + a + 53 = 553
2a = 553 - 53
2a = 500
a = 250
Total 250 adult tickets are sold.
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A salt mixture has 7 parts water and 1 part salt. Suppose another part of salt is added. What is the new ratio of salt to water? O 7 to 1 О 1 to 7 O 2 to 7 O 2 to 8
Answer:
It should be 2:7 because 1/7 + 1/7=2/7
Step-by-step explanation: