100 members of a Gym are surveyed. The results are shown below. Given the gym member chosen at random is a female, what is the probability that they were aged 20+?
Answers
Answer:
\( \frac{17}{28}\)
Step-by-step explanation:
There are 56 females
There is 56 females
34 are 20+
34/56 simplfies to 17/28
Related Questions
The temperature rose 5 degrees from 6:00am to 12:00pm.
Answers
The average rate of change per hour in the temperature is 0.83 degrees.
What is the average rate of change per hourTo find the average rate of change per hour, we need to divide the total change in temperature by the number of hours over which the temperature changed.
The temperature rose by 5 degrees from 6:00 am to 12:00 pm, which is a period of 6 hours.
Therefore, the average rate of change per hour can be calculated as follows:
average rate of change per hour = total change in temperature / number of hours
So, we have
average rate of change per hour = 5 degrees / 6 hours
average rate of change per hour = 0.83 degrees/hour (rounded to two decimal places)
So, the average rate of change per hour is 0.83 degrees.
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The following are rules for repeating patterns. For which rule will the 12th shape be a circle?
Answers
O No; there are y-values that have more than one x-value.
• No; the graph fails the vertical line test.
• Yes; the graph passes the vertical line test.
Yes; there are no y-values that have more than one x-value.
Answers
The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
How do functions work?According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.
Please refer to the image instead of the graph, which is related to it.
The graphic displays a graph.
A parabola is seen on the graph.
The vertical line test determines if a graph can be a function, as is common knowledge.
The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.
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Simplify the exponential expression.
Answers
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)
After using the properties of integer exponent:
\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)
\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
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19. Demonstrate that the points (-8, 0) and (6,0) do
not determine a unique parabola by writing the
equations of two different parabolas that pass
through these two points.
Answers
Step-by-step explanation:
equation: y-y1=m(x-x1)
Slope: Y2-Y1
------------
X1- X2
0-(-8). 8
-------- = ------
0-6. -6
when putting a point in a equation it needs to have an opposite signs. ex: point: (-8,0( point in equation (8,0)
y+8= 8/-6(x-0)
y-6= 8/-6(x-0)
The number of times 100 groups took a
selfie is as follows.
Takes
1 2 3
4
Frequency 27 29 18 14
5
12
Find the probability a group will take their
selfie exactly 3 times.
P(3) = [?]
Answers
The probability a group will take their selfie exactly 3 times is 0.18.
We have,
The total groups = 100
The number of groups that took selfies 3 times = 18
Now,
The probability a group will take their selfie exactly 3 times.
= 18/100
= 0.18
Thus,
The probability a group will take their selfie exactly 3 times is 0.18.
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calculate the flux of f(x, y) = ⟨x − y, y − x⟩ along the square bounded by x = 0, x = 1, y = 0, and y = 1.
Answers
The flux of the vector field f(x, y) = ⟨x - y, y - x⟩ along the square bounded by x = 0, x = 1, y = 0, and y = 1 is given by the double integral ∫[0,1]∫[0,1] (x - y) dx dy. Evaluating this integral will provide the final answer for the flux.
To calculate the flux, we need to evaluate the surface integral of the dot product between the vector field f(x, y) and the outward-pointing unit normal vector on the surface. In this case, the surface is the square bounded by x = 0, x = 1, y = 0, and y = 1.
We can parameterize the surface as r(x, y) = ⟨x, y⟩, where 0 ≤ x ≤ 1 and 0 ≤ y ≤ 1. The outward-pointing unit normal vector is given by n = ⟨0, 0, 1⟩.
The dot product between f(x, y) and n is (x - y) × 0 + (y - x) × 0 + (x - y) × 1 = x - y.
Next, we compute the surface integral over the square by integrating x - y with respect to x and y. The limits of integration are 0 to 1 for both x and y.
∫∫(x - y) dA = ∫[0,1]∫[0,1] (x - y) dx dy.
Evaluating this double integral will give us the flux of the vector field along the square bounded by x = 0, x = 1, y = 0, and y = 1.
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If you go twice as fast, will your stopping distance increase by: A. Two times. B. Three times. C. Four times. D. Five times
Answers
If you go twice as fast, your stopping distance will increase by four times (option C).
This relationship is based on the laws of physics and the principles of motion.
When an object is in motion, its stopping distance is influenced by its initial speed, reaction time, and braking capabilities. The stopping distance consists of two components: the thinking distance (the distance traveled during the reaction time) and the braking distance (the distance needed to bring the object to a complete stop).
According to the laws of physics, the braking distance is directly proportional to the square of the initial speed. This means that if you double your speed, the braking distance will increase by a factor of four. In other words, going twice as fast will require four times the distance to come to a stop.
It is important to note that this relationship assumes other factors, such as road conditions and braking efficiency, remain constant. However, in real-world scenarios, these factors may vary and can affect the stopping distance to some extent.
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You are thinking about purchasing a cell phone. Before making a decision, you contact the major service providers in your area to obtain some
information. For each service provider, you record the cost of the phone itself, the required length of the service contract, whether the plan
includes access to the internet, and the average cost per month.
a. Identify the individuals.
b. Which variables are categorical?
c. Which variables are quantitative?
Answers
a)The individual in this scenario is the person thinking about purchasing a cell phone.
b. The variables that are categorical are whether the plan includes access to the internet and the required length of the service contract.
c. The variables that are quantitative are the cost of the phone itself and the average cost per month.
a. The individuals are the major service providers in the area that the person contacted to obtain information about the cost of the phone, length of the service contract, internet access, and average monthly cost.
b. The categorical variables are whether the plan includes access to the internet and the length of the service contract. These variables are not numerical in nature and cannot be measured in terms of quantity.
c. The quantitative variables are the cost of the phone itself and the average cost per month. These variables are numerical in nature and can be measured in terms of quantity, such as dollars or euros.
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Find the volume of this cone.
Answers
To start calculating the volume of the cone, we obtain the following data:
r = 4 cmh = 9 cmπ = 3To calculate the volume of a cone, we apply the following formula:
\(\boldsymbol{\sf{V=\dfrac{\pi r^{2}h }{3} }}\), where
V = volumeh = heightr = radiusπ = piWe solve, substituting our data in the formula:
\(\boldsymbol{\sf{V=\dfrac{3*(4 \ cm)^{2}*9 \ cm }{3} }}\)taking the square root
\(\boldsymbol{\sf{V=\dfrac{3 *16 \ cm^{2}*9 \ cm }{3} }}\)Multiplying
\(\boldsymbol{\sf{V=\dfrac{432 \ cm^{3} }{3} }}\)Dividing
\(\boxed{\boldsymbol{\sf{V=144 \ cm^{3} }}}\)Therefore the volume of the cone is 144 cm³.
\(\huge\text{Hey there!}\)
\(\huge\textbf{What is the formula for finding the}\\\\\huge\textbf{the volume of a cone?}\)
\(\large\boxed{\mathsf{\dfrac{\pi \times r^2\times h}{3} = volume}}\)
\(\bullet\large\textsf{ Whereas, \boxed{r} is your \underline{radius}, \boxed{h} is your \underline{height}, \& \boxed{\pi} is your pi.}\)
\(\bullet\large\textsf{The pi }\boxed{(\pi)}\large\textsf{ is approximately equal to 3.14.}\)
\(\huge\textbf{What are the labels in your equation?}\)
\(\star\ \large\boxed{{Radius}}\rightarrow \textsf{\underline{4\ centimeters}}}}}\)
\(\star\ \large\boxed{{Height}}\rightarrow \textsf{\underline{9\ centimeters}}}}}\)
\(\star\ \large\boxed{{\pi}}\rightarrow \textsf{\underline{3}}}}}\)
\(\huge\textbf{What does should the equation look}\\\\\huge\textbf{like?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\huge\textbf{What are the steps to solve for the}\\\\\huge\textbf{question to get the result?}\)
\(\large\boxed{\mathsf{\dfrac{3 \times 4^2 \times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{3\times4\times4\times9}{3}}}\)
\(\large\boxed{= \mathsf{\dfrac{3\times16\times9}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{48\times9}{9}}}\)
\(\large\boxed{\mathsf{= \dfrac{432}{3}}}\)
\(\large\boxed{\mathsf{= \dfrac{432 \div 3}{3\div3}}}\)
\(\large\boxed{= \mathsf{\dfrac{144}{1}}}\)
\(\large\boxed{\mathsf{= 144\div1}}\)
\(\large\boxed{= \textsf{144}}\)
\(\huge\textbf{What is the result to this question?}\)
\(\huge\boxed{\frak{144\ cm^3}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)11/2 as a whole number
Answers
Step-by-step explanation:
5½ = 11/2
hope this helps you.
Answer:
5 1/2
Step-by-step explanation:
Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded.
What is the response variable in this experiment?
a. the age of each golfer
b. the 200 volunteers
c. the length of shots played by the golfers
d. whether the golfers wear or do not wear the bracelet
Answers
Answer:
I believe it is (C), the length of the golfers.
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and theyre trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
Which is why I believe, the length of the shots is the response variable.
ED2021
Goodluck :)
it is (C), the length of the golfers.
What is response variable?A response variable is a type of dependent variable. It is the one that changes the results. Furthermore, a response variable is the expected effect, and it responds to explanatory variables.
Here, we have,
The things measured in the experiment are the bracelet and the length of the shots based off of it. The response variable is basically the dependent variable, and they are trying to figure out if the lengths of shots are dependent on the bracelet.
Because of this, we know A and B are already wrong.
Now we're left with C and D.
If you think of graphing D as the y variable, it just doesn't make sense. Because how would you do that? But, if you made C the y variable, you can make a bar graph, which I think would make sense in this scenario.
This is why, the length of the shots is the response variable.
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The entrance to a mine is 6 feet long by 5 feet wide by 8 feet high. It is being enlarged. If the length increases at 3 feet per hour, the width at 2 feet per hour, and the height at 0.5 feet per hour, how fast is the entrance increasing in ft^3/hour?
a. 135 ft^3/hour
b. 216 ft^3/hour
c. 231 ft^3/hour
d. 1320 ft^3/hour
Answers
The rate of increase of the volume of the entrance in ft³/h is 231 ft³/h
What is rate of increase of volume?Rate is the volume change per unit time.
How to find how fast is the entrance increasing in ft³/hour?Since the entrance to a mine is 6 feet long by 5 feet wide by 8 feet high. It is being enlarged. If the length increases at 3 feet per hour, the width at 2 feet per hour, and the height at 0.5 feet per hour, to know the rate at which the entrace is increasing, we need to know its volume.
What is the volume of the entrance?The volume of the entrance which is a cuboid is givben by V = lwh where
l = length of entrance , w = width of entrance and h = height of entranceNow to find the rate of change of the volume of the entrance, we differentiate with respect to time, t.
So, dV/dt = dlwh/dt
= whdl/dt + lhdw/dt + lwdh/dt
where
dl/dt = rate of increase of length, dw/dt = rate of increase of width and dh/dt = rate of increase of lengthl = 6 ftw = 5 ft,h = 8 ftdl/dt = 3 ft/hdw/dt = 2 ft/h and dh/dt = 0.5 ft/hSubstituting the value of the variables into the equation, we have that
dV/dt = whdl/dt + lhdw/dt + lwdh/dt
= 5 ft × 8ft × 3ft/h + 6 ft × 8ft × 2 ft/h + 6 ft × 5 ft × 0.5 ft/h
= 120 ft³/h + 96 ft³/h + 15 ft³/h
= 231 ft³/h
So, the rate of increase of the entrance is 231 ft³/h
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If there are 12 cats and 15 dogs in the shelter, what is the simplified ratio of cats
to the animals in the shelter?
Answers
Answer:
12 to 27! :D
Step-by-step explanation:
A movie producer held a preview screening of her new movie to find out how the film would be received by viewers of different age groups. The table shows the number of viewers of different age groups who rated the movie as excellent, average, or poor. Note: A rating of "excellent" means the audience liked the movie, while a rating of "poor" means the audience disliked the movie.
Age Excellent Average Poor Marginal Total
16-30 78 33 43 154
30-44 33 41 37 111
45+ 38 23 20 81
MT: 149 97 100 346
Out of the total number of respondents, the percentage of respondents in the 30-44 age group who rated the film as excellent rounded to the nearest hundredth of
Answers
Answer:
120%
Step-by-step explanation:
Because the answer is 1 1/5 that converted to a percentage(%) is 120%.
9.53% people between the age 30 to 44 rated the movie as excellent.
What is percentage?A percentage is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction. To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100.
According to the given question.
We have a data of people of different ages who rated the movie as excellent, Average, and poor.
Now,
Total number of people between the age 30 to 44 who rated the movie excellent is 33
And, the total number number of people who watched the movie is 346.
Therefore, the percentage of people who are in between 30 to 44 and rated the movie as excellent is given by
\(percentage = \frac{total\ number\ of\ people\ between\ 30\ to\ 44\ and\ rated\ movie\ as\ excellent\ }{total\ number\ of\ people\ who\ watched\ the\ movie}\)
\(\implies percentage = \frac{33}{346} =9.53\%\)
Hence, 9.53% people between the age 30 to 44 rated the movie as excellent.
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Students in the sophomore class were asked whether they preferred vanilla or chocolate
Ice Cream
Frequency
Vanilla
50
Chocolate
30
6. What is the relative frequency of sophomores chose chocolate?
7. What is a probability distribution for this data?:
Answers
pls ans both the questions im very confused
Answers
Answer:
Step-by-step explanation:
In Δ PQS and ΔPQT
∠QPS = ∠RPT {Common angle}
∠PSQ = ∠PTR = 90° {QS & RT are altitude}
QS = RT {given}
ΔPQS ≅ ΔPRT {A A S congruent}
PQ = PS {CPCT}
So, PQR is an isosceles triangle.
9)
a) Flas card (I) and (iii) are congruent.
b) A S A congruent
c) BC ≅ RP
Simplify the expression below. 2x - 10 + 6x
Answers
Answer:
8x - 10
Step-by-step explanation:
Combine like terms:
2x + 6x - 10
= 8x -10
I hope this helps
To start, which measurement does Tommy need to
know about the soup cans?
O weight
O circumference
O volume
O surface area
Answer FAST
Answers
Answer:
C. volume
Step-by-step explanation:
when youre starting your measurements you want to start the volume first.
Answer:
C
Step-by-step explanation:
got it right
What is the circumference of the following circle?
Answers
What is the midpoint of AB
Answers
A pet store is offering a $5 in-store coupon for every person who buys a flea control product. If the flea control products range from $29.53 to $56.15, which compound inequality represents this situation?
Question 19 options:
29.53 ≤ x + 5 ≤ 56.15
29.53 ≤ x/5x ≤ 56.15
29.53 ≤x5≤ 56.15
29.53 ≤ 5 x – 5 ≤ 56.15
Answers
Answer:
29.53 ≤ x + 5 ≤ 56.15
Step-by-step explanation:
A $5 in-store coupon for every person who buys a flea control product which ranges between $29.53 to $56.15. This means that if you bought a flea control product you would be given an additional $5 that means that for buying a flea product, $5 is given to you. If you have $x, and you bought a flea product you would have x + 5. The inequality that represents this situation is given as:
29.53 ≤ x + 5 ≤ 56.15
Lauren keeps records of the distances she travels in a taxi and what she
pays.
Distance in miles Cost in dollars
(d)
3
8.25
5
12.75
11
26.25
Lauren said a linear function can represent the given data. If Lauren uses
the function f(x) = mx + b, what is the value of parameter m? Explain what
this value stands for in context of the problem.
Answers
Answer:
m = 2.25
Step-by-step explanation:
In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)
Plug in these values:
(26.25 - 8.25) / (11 - 3)
Simplify the parentheses.
= (18) / (8)
Simplify the fraction.
18/8
= 9/4
This is your slope.
In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.
What is the greatest common factor (gcf) of 56 and 98
Answers
Answer: The greatest common denominator is 14
It takes 1.5 litres of sugar soap to wash a square metre of ceiling and 0.5 litres of sugar soap to wash a square metre of wall. Bianca’s room is 4 metres high and each wall is 5 metres wide. There is one window, which is 4m2 and a door, which is 9m2. How much sugar soap will Bianca need, assuming she does not wash the door or window (a room has four walls and a roof)
Answers
Answer:
34.5 meters square.
Step-by-step explanation:
Walls: 4 x 5 meters
20 meters squaredRoof: 5 x 5 meters
25 meters squared20 x 0.5 = 10
25 x 1.5 = 37.5
10 + 37.5 = 47.5
There is a window and a door she doesn't need to wash that takes up some of that space. The window takes up 4 square meters and the door takes up 9 square meters. So, there is 13 square meters she will not wash (4+9=13).
We subtract what she won't wash from our original number of 47.5.
47.5 - 13 = 34.5
16-2t=5t+9
Answer
equation
Answers
Answer:
t=1
Step-by-step explanation:
16-2t=5t+9
step 1 :group like term to the same side
16-9=5t+2t
step 2 : combine
7=7t
step 3: solve for t
t=7/7
t=1
A restaurant has a special deal where you can build your own meal from certain selections in the menu.
The number of selections available in each category is shown in the table.
Item
Drink
Appetizer
Main Entree
Side Dishes
Dessert
Next Question
Number of Choices
12
7
8
14
9
If a person selects one of each item, how many different meals can be ordered?
different meals
Answers
There are 84,672 different meals that can be ordered by selecting one item from each category.
To determine the number of different meals that can be ordered by selecting one item from each category, we need to multiply the number of choices in each category together.
In this case, the number of choices for each category are as follows:
Drinks: 12 choices
Appetizers: 7 choices
Main Entrees: 8 choices
Side Dishes: 14 choices
Desserts: 9 choices
To calculate the total number of different meals, we multiply these numbers together:
Number of different meals = Number of choices in Drink category × Number of choices in Appetizer category × Number of choices in Main Entree category × Number of choices in Side Dishes category × Number of choices in Dessert category
Number of different meals = 12 × 7 × 8 × 14 × 9
Calculating this expression gives us:
Number of different meals = 84,672
Therefore, there are 84,672 different meals that can be ordered by selecting one item from each category.
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Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answers
Answer:
A
Step-by-step explanation:
Note that the dots in both the upper and lower row increase by 1
The 3rd diagram has 4 dots in the upper and 3 in the lower , then
the next diagram should have 5 dots in the upper and 4 in the lower
This is the case in diagram A
Which one?
A. B. C. or D?
Answers
Answer:
the answer is C
Step-by-step explanation:
GLAD TO HELP!!
Answer:
C
Step-by-step explanation:
not 100 % sure but here you go!!
The parking fee at a public garage is $3 for the first hour and 0.75 for every hour after that. how long beyond the first hour can you park if you want to spend less than $6? let x represent the number of additional hours after the first hour.
Answers
Answer:
4
Step-by-step explanation:
3+0.75x≤6
x≤4