Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
what is probability ?Probability is a mathematical concept that expresses the possibility or chance of an event happening. It is stated as a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the entire number of possible possibilities, the probability of an event is determined.
given
The odds of selecting a male adolescent at random are x/n, while the odds of selecting a teen whose preferred pastime is playing video games are y/n.
As these two occurrences are separate, the likelihood that both will occur is the product of the probabilities:
The odds of selecting a male teen who enjoys video games are (x/n) * (y/n) = xy/n2.
By dividing the numerator and denominator by the greatest common factor (GCF) of x and y, if one exists, this can be made simpler.
For instance, the probability is simplified as follows if x=4 and y=6, where the GCF is 2:
Picking a male youngster who enjoys playing video games is more likely if you get a score of (4/10) * (6/10) = 24/100 = 6/25.
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2/3 of a class are girls. What is the ratio girls to boys in the class? What is the ratio boys to girls in the class?
Answer:
If a class has 2/3 girls.
Lets ask ourselves, what does this mean?
It means that 2/3 of the class are girls and therefore 1/3 of the class are boys. I.e. for every 2 girls in the class there is 1 boy in the class.
Therefore the ratio of girls to boys is
2 : 1
PLEASE HELP I NEED HELP DUE IN 5 MINS
represented by the rectangle in the figure, how many square inches is the label? Answer in terms of π.
image of a net drawing of a cylinder is shown as two circles each with a radius labeled 4 inches and a rectangle with a height labeled 7.8 inches
94.4π square inches
32π square inches
30.1π square inches
62.4π square inches
Therefore, the label represented by the rectangle in the figure is 62.4π square inches that is option D.
What is lateral surface area?The lateral surface area of a three-dimensional object is the area of all its faces except for the top and bottom faces (i.e., the base(s) and the top(s)). In other words, it is the surface area of the object's lateral or side faces. The lateral surface area is typically used to describe the surface area of certain geometric solids such as cylinders, cones, and prisms. In the case of a cylinder, for example, the lateral surface area is the area of the curved side of the cylinder, excluding the top and bottom circular faces. For a cone, the lateral surface area is the area of the curved side of the cone, excluding the circular base.
Here,
From the given figure, we can see that the rectangle represents the lateral surface area of the cylinder, which can be calculated using the formula:
Lateral surface area = height x circumference
The circumference of the circle can be calculated as 2πr, where r is the radius. In this case, the radius is given as 4 inches. Therefore, the circumference is 2π(4) = 8π inches.
Substituting the given values, we get:
Lateral surface area = 7.8 x 8π
= 62.4π square inches
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Four integers have a mean of 9, a median of 9, a mode of 9 and a range of 12.
The fοur integers are all equal tο 9, and the range is 12.
What is the statistics?The cοllectiοn, analysis, interpretatiοn, presentatiοn, and οrganisatiοn οf data are all tοpics that fall under the umbrella οf statistics, a subfield οf mathematics.
Let's call the fοur integers a, b, c, and d.
Since the median is 9, we knοw that either b οr c must be 9. Let's assume b = 9.
Since the mοde is 9, we knοw that either a, c, οr d must be 9. Let's assume a = 9.
Nοw we have twο cases:
Case 1: c = 9
In this case, we have a, b, c, and d all equal tο 9, which gives us a mean οf 9.
Case 2: d = 21
In this case, we have a = 9, b = 9, c = 12, and d = 21, which gives us a mean οf 12.
Hοwever, we were tοld that the mean is 9, sο we can cοnclude that the first case is the cοrrect οne.
Hence, the fοur integers are all equal tο 9, and the range is 12.
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Complete Question:
Four integers have a mean of 9, a median of 9, a mode of 9 and a range of 12.
Find the four integers
Assuming all parabolas are of the form y = ax² + bx + c, drag and drop the graphs to match the appropriate a-value (if necessary).
A -4
a = 4
a = -1
Answer:a=4
Step-by-step explanation:
Kate walks at an average speed of (x + 2) km/h for (x-3) hours and cycles at an average speed of (3x + 5) km/h for x hours. She covers a total of 74 km. Find the time taken for her entire journey
Therefore , the solution of the given problem of equation comes out to be Kate's complete journey took her about 5.22 hours.
What is equation?Variable words are commonly used in complex algorithms to show consistency between two contradictory claims. Academic expressions called equations are used to show the equality of various academic numbers. Instead of another algorithm that can analyze data given by y + 7, split 12 to two parts, and produce y + 7, leveling produces b + 7 in this instance.
Here,
First, let's construct the solution utilizing the distance formula:
Walking distance plus cycling distance equals total distance.
Distance equals speed times time.
=> [(x+2)(x-3)] + [(3x+5)(x)] = 74
Simplifying and finding x's value:
=> x² - 4x - 9 + 3x² + 5x = 74
=> 4x² + x - 83 = 0
Making use of the quadratic formula:
=> x = [-1 + √(1 - 4(4)(-83))] / 8
=> x = [-1 ± √(1337)] / 8
=> x ≈ 4.11 or x ≈ -5.11
We can disregard the bad outcome because time cannot be negative.
Consequently,
=> x = 4.11.
Now that we know how long the full journey took, we can:
=> Time taken = x + (x-3)
=> Time spent = 2x - 3
=> Using x instead of 4.11:
=> Duration: 5.22 hours
As a result, Kate's complete journey took her about 5.22 hours.
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what is 70= 7 ( g + 1)
Answer:
g=9
Step-by-step explanation:
Step-by-step explanation:
70=7(g+1)
70=7g+7
63=7g
9=g
Are the terms 2x and -5x like or unlike terms?
Answer:
The terms 2x and -5x are like terms.
Step-by-step explanation:
Like terms are terms that have the same variable(s) raised to the same power(s). In this case, both 2x and -5x have the same variable "x" raised to the same power "1". The only difference between them is the coefficient, which is 2 for 2x and -5 for -5x. However, the coefficients do not affect whether two terms are like or unlike terms.
So, because 2x and -5x have the same variable raised to the same power, they are like terms.
A bike has a maximum height of 25 inches which inequality correctly represents this height?
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer relish on a hot dog?
4,479
3,380
2,028
2,016
Answer: Out of the 150 people surveyed, 36 preferred relish on a hot dog.
To estimate how many people in attendance would prefer relish on a hot dog, we can use the proportion of people in the sample who preferred relish:
36/150 = x/8,450
Solving for x, we get:
x = (36/150) * 8,450 = 2,028
Therefore, an estimated 2,028 people in attendance would prefer relish on a hot dog.
The answer is option C: 2,028.
Step-by-step explanation:
How can plot and character development help you predict a novel’s theme?
by leading you to believe that the story is about one thing when it’s about something else
by creating empathy for the characters and the situations they are facing
by hinting at ideas about what the conflict is and how the main characters are likely to deal with it
by helping you understand where the story is set and why the characters behave the way they do
Plot and character development can help you predict a novel’s theme by hinting at ideas about what the conflict is and how the main characters are likely to deal with it.
What is plot?
The sequence of events in a book, movie, or other narrative where each event has an influence on the subsequent one in accordance with the law of cause and effect is known as the plot. The causal events of a narrative can be conceived of as a collection of occurrences linked together by the connector "and so." Plots can be simple—like in a traditional ballad—or complicated and intertwined, with each element occasionally referred to as a subplot or imbroglio.
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How many modes are in the data set?
1.50, 1.70, 2.30, 2.30, 1.70, 2.00, 1.50, 1.50, 1.70, 2.00, 2.00
0
1
2
3
A ballet class has 40 dancers. If I collect all of the dancer's heights, is it a census or sample?
Answer:
Census
Step-by-step explanation:
It's a census because it provides meaningful information to the person who is collecting it. The meaningful information being the height
Answer:
Census
Step-by-step explanation:
The other guy already said it.
1.2.5 Quiz: Solving Problems by Dividing Fractions
Question 2 of 5
It takes Saraday to make a birdhouse. How much of the
birdhouse will be built after day?
As It takes Sara 1/2 day to make a birdhouse, the number of birdhouse which will be built after 2/5 day is 4/5 of a birdhouse.
How many birdhouse will be built after 2/5 day?Since it takes Sara 1/2 day to make a birdhouse, we can say that she can make 2 birdhouses in one day.
So, after 1/2 day, Sara will complete 1 birdhouse.
Now, let's see how much of the birdhouse Sara can build after 2/5 day:
2/5 day is equivalent to (2/5) x (1/2) = 1/5 day.
Since Sara can build 1 birdhouse in 1/2 day, she can build 1/2 of a birdhouse in 1/4 day (half of 1/2 day).
Therefore, in 1/5 day, she can build:
= (1/5) / (1/4)
= (1/5) x (4/1)
= 4/5 of a birdhouse.
Full question "It takes Sara 1/2 day to make a birdhouse. How much of the birdhouse will be built after 2/5 day"
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Francine inherited $5,000 and plans to deposit the money in an account that compounds the interest monthly. If she can get 6% interest, the formula to calculate the amount of money in her account after t years is given by: t A 12 5000(1.005) How long will it take for her money to grow to $7,500?
To find how long it will take for Francine's money to grow to $7,500, we can set up the equation:
7500 = 5000(1.005)^(12t)
where t is the number of years. We want to solve for t.
First, divide both sides by 5000:
1.5 = (1.005)^(12t)
Next, take the natural logarithm of both sides:
ln(1.5) = ln(1.005)^(12t)
Using the rule of logarithms that ln(a^b) = b ln(a), we can simplify the right side:
ln(1.5) = 12t ln(1.005)
Finally, divide both sides by 12 ln(1.005):
t = ln(1.5)/(12 ln(1.005))
Using a calculator, we get:
t ≈ 14.6 years
Therefore, it will take about 14.6 years for Francine's money to grow to $7,500.
Which expression is equivalent to 6(4w+7)?
50 points HELP me please
Answer:
4-2(16x+8)^1/3=-8
-2(16x+8)^1/3=-12
(16x+8)^1/3=6
16x+8=216
16x=208
x=13
Checking if x=13 is an extraneous solution:
4-2[16(13)+8]^1/3=-8
4-2(208+8]^1/3=-8
4-2(216)^1/3=-8
4-2(6)=-8
4-12=-8
-8=-8
Not an extraneous solution.
Alan found the distance between point A(-8, -4) and point B(3, -4). His worn is shown below. -8 to the y-axis=8 units. 3 to the y-axis=3 units. |-8| - |3| = 5 units from A to B. What error did Alan make? What is the actual distance from point A to point B?
Answer:
Step-by-step explanation:
Alan made an error in assuming that the distance between -8 and 3 on the x-axis is the same as the distance between -8 and the y-axis, and between 3 and the y-axis. This is not necessarily true, as the distance between two points on a coordinate plane is given by the Pythagorean theorem:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can find the actual distance between points A and B:
distance = sqrt((3 - (-8))^2 + (-4 - (-4))^2)
distance = sqrt(11^2 + 0^2)
distance = sqrt(121)
distance = 11
So the actual distance between points A and B is 11 units.
Therefore, Alan's error was assuming that the distance between A and B is simply the difference in the x-coordinates, which is not the case.
Multiply write your answer in SIMPLEST form PLS FAST
Answer : 3 [tex]\frac{17}{21}[/tex]
:)
At Sunshine Bookstore, the total cost of a carton of 16 dictionaries is $468. At Barker’s Books, the same dictionaries cost $28.75 each. How much money will you save on each dictionary if you buy them at Barker’s Books?
Answer:$41.24
Step-by-step explanation:
when you do mathmatics with $468 and $28.75 you get $41.24! have a good day! <3
Identify the function family to which g belongs.
G(x)=-x3
The cubic function family includes the function G(x).
A collection of functions known as the cubic function family may be written as [tex]f(x) = ax3 + bx2 + cx + d,[/tex] where a, b, c, and d are constants. Cubic functions can have one, two, or three real roots because of their odd degree (3). Real-world phenomena like population growth and decline are frequently modelled using these functions. The coefficient of x3 in the following function [tex]G(x) = -x3 is -1,[/tex] which is a constant. This function belongs to the family of cubic functions since it may be written in the typical form of a cubic function. As a result, G(x) has a single real root and is a cubic function.
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Which is considered an asset? Student loans, Savings, Car loan Credit card debt
Answer:
normally I think credit card
3. Denise and Walter both drive their cars to work. Denise uses 3/4
of a gallon of gas, and Walte
uses 5/6 of a gallon of gas. How much more gas does Walter use than Denise?
The difference between Walter and Denise's gas usage is 0.83 - 0.75 = 0.08 gallons. Therefore, Walter uses 0.08 gallons more gas than Denise.
What is number?Number is a mathematical object used to count, measure, and label. It is an abstract concept that describes a quantity or amount. Numbers can be represented in various forms, including words, symbols, and numerals. Numbers are also used to measure distance, time, and weight, as well as to express amounts of money. Numbers play a vital role in many areas of life, from science and engineering to economics and finance.
To calculate how much more gas Walter uses than Denise, we need to find the difference between the amount of gas each person uses.
Denise uses 3/4 of a gallon of gas, so 3/4 of a gallon is equal to 0.75 gallons. Walter uses 5/6 of a gallon of gas, so 5/6 of a gallon is equal to 0.83 gallons.
The difference between Walter and Denise's gas usage is 0.83 - 0.75 = 0.08 gallons. Therefore, Walter uses 0.08 gallons more gas than Denise.
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A company produces and sells solar panels for $520. The company's daily profit, P(x), can be modeled by the function P(x) = −6x2 + 180x + 1,000, where x is the number of $5 price increases for each solar panel. Use the graph to answer the questions. Graph of function p of x equals negative 6 x squared plus 180 x plus 1,000. The graph has the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 1000), increases to the vertex at about (15, 2350), and decreases through about (35, 0).
The maximum daily profit the company can earn is $2,350.
What is Graph of function?
In mathematics, a graph of a function is a visual representation of the relationship between the input and output values of the function.
It is a set of points in a coordinate plane that represents the values of the function for different inputs.
The function P(x) = −6x² + 180x + 1,000 models the daily profit of the company, where x is the number of $5 price increases for each solar panel. The graph of the function has a vertex at approximately (15, 2350), which represents the maximum point on the graph.
Therefore, the maximum daily profit the company can earn is $2,350.
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Write the equation of the line in slope-intercept form (y = mx + b).
x-intercept = 8
y-intercept = -12
Answer:
y =
Answer: y = [tex]\frac{3}{2}[/tex]x - 12
Step-by-step explanation:
First, we will find the slope of the equation. The x-intercept means that when x = 8, y = 0 giving us the point (8, 0). The y-intercept means that when y = -12, x = 0, giving us the point (0 -12).
Now, we will find change in y over change in x (the slope).
[tex]\displaystyle \frac{-12-0}{0-8}=\frac{-12}{-8} =\frac{3}{2}[/tex]
Lastly, we can write our equation using the slope and y-intercept.
y = [tex]\frac{3}{2}[/tex]x - 12
Answer:
y = 3/2x - 12
Step-by-step explanation:
X-intercept located at (8,0)
Y-intercept located at (0, -12)
The equation is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
2 points (8,0) (0, -12)
We see the y decrease by 12 and the x decrease by 8, so the slope is
m = -12 / -8 = 3/2
Y-intercept is = -12
So, the equation is y = 3/2x - 12
NEED HELP / ANSWER ASAP
Thus, the probability that either blue or green or purple will appear on the next spin is 63%.
Define about the term probability:The proportion between the number of likely occurrences and the total number of potential occurrences.
A good outcome is an incident that has led to the anticipated outcome or predicted event.A sample space is made up of all possible results of an experiment.Given result for the spinner:
Red - 4Blue - 4Green - 15Yellow - 9Purple - 3Total = 35probability = favourable outcome / total outcome
probability (blue) = 4/35
probability (Purple) = 3/35
probability (Green) = 15/35
So, probability (either blue or green or purple) = 4/35 + 3/35 + 15/35
= 22/35
= 0.6285
= 62.85
= 63%
Thus, the probability that either blue or green or purple will appear on the next spin is 63% (nearest whole number).
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There is a 20% chance that a particular volcano will erupt during any given decade. A random number generator generated 10 sets of random numbers from 1 to 5 as shown. The number 1 represents the volcano erupting. Find the experimental probability that the volcano will erupt in 1 or 2 of the next 5 decades
A rough estimate of the actual probability is [tex]0.43[/tex], or [tex]43[/tex]%.
What is the probability synthesis?When compared to a collection of possible occurrences that do not occur, probability may be thought of as a numerical indicator of how likely it is that an event will occur. All potential outcomes must be known as a set.
What makes probability significant?Information about the possibility that a certain thing will happen is provided by probability. For instance, meteorologists utilise weather patterns to forecast the likelihood of rain. Probability theory is utilised in epidemiology to comprehend the connection between exposures as well as the risk of health outcomes.
In three of the seven experiments, the volcano erupted once or twice throughout the course of the next half century (trial 1, 3, and 7).
Trial 1: 1 eruption
Trial 2: 0 eruptions
Trial 3: 1 eruption
Trial 4: 0 eruptions
Trial 5: 0 eruptions
Trial 6: 0 eruptions
Trial 7: 2 eruptions
Therefore, the experimental probability that the volcano will erupt in [tex]1[/tex] or [tex]2[/tex] of the next [tex]5[/tex] decades is:
experimental probability [tex]=[/tex] number of successful trials / total number of trials
experimental probability [tex]= 3 / 7[/tex]
experimental probability [tex]= 0.4286[/tex]
So the experimental probability is approximately [tex]0.43[/tex] or [tex]43[/tex]%.
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A gumball machine has 2,120 gumballs. Mike
bought 20 gumballs, which were dispensed
randomly. The results are in the table below.
How many of each color gumball do you predict
are in the machine?
Blue
5
Red
1
Green
8
Pink
4
Yellow
2
Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.
How to calculate the amount of gum of each color that was in the machine?To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:
20 gums = 5 blue gums2,120 gum = ? blue gum2,120 * 5 / 20 = 530 blue gumballs20 gums = 1 red gums2,120 gum = ? red gum2,120 * 1 / 20 = 106 red gumballs20 gums = 8 green gums2,120 gum = ? green gum2,120 * 8 / 20 = 848 green gums20 gums = 4 pink gums2,120 gum = ? pink gum2,120 * 4 / 20 = 424 pink gumballs20 gums = 2 yellow gums2,120 gum = ? yellow gum2,120 * 2 / 20 = 212 yellow gumballsLearn more about gumballs in: https://brainly.com/question/428165
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Grade 7 question, would appreciate help
Answer:
a) The surface area of a cuboid is given by the formula:
SA = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the cuboid, respectively.
In this case, we are given that:
h = xem
w = 2h = 2xem
l = 3h = 3xem
Substituting these values into the formula for the surface area of a cuboid, we get:
SA = 2(3xem)(2xem) + 2(3xem)(xem) + 2(2xem)(xem)
= 12xem^2
Therefore, the formula for the surface area of this cuboid is SA = 12xem^2.
b) Using the formula SA = 12xem^2, we can calculate the surface area of each cuboid and then add them to find the total surface area.
For cuboid A, x = 3, so the surface area is:
SA(A) = 12(3em)^2
= 108em^2
For cuboid B, x = 5, so the surface area is:
SA(B) = 12(5em)^2
= 300em^2
Therefore, the total surface area of the two cuboids is:
SA(A+B) = SA(A) + SA(B)
= 108em^2 + 300em^2
= 408em^2
So the total surface area of the two cuboids is 408em^2.
Anna borrowed N$20 000 at 5% for three and half years. She wants to pay N$8000 on maturity. To achieve
this, she is planning to pay 2000 in 10 months, 5000 in 16 months from now. How much should she pay in two
and half years from now to meet her obligation?
Anna needs to pay N$8,500 + N$1,062.50 = N$9,562.50 in two and a half years from now to meet her obligation.
What is Simple interest?
Simple interest is a type of interest that is calculated based only on the principal amount of a loan or investment. It is a fixed percentage of the principal that is charged for the use of money over a specified period of time.
First, let's calculate the interest on the loan for three and a half years.
Interest = Principal * Rate * Time
where the principal is N$20,000, the rate is 5%, and the time is 3.5 years.
Interest = 20,000 * 0.05 * 3.5 = N$3,500
So Anna owes N$20,000 + N$3,500 = N$23,500 in total at maturity.
Next, let's subtract the payments Anna plans to make from the total amount she owes to find out how much she still needs to pay:
N$23,500 - N$8,000 (planned payment) - N$2,000 (planned payment) - N$5,000 (planned payment) = N$8,500
So Anna still needs to pay N$8,500 to meet her obligation.
Finally, we need to calculate how much she should pay in two and a half years from now. We can use the simple interest formula again, this time with a principal of N$8,500, a rate of 5%, and a time of 2.5 years.
Interest = Principal * Rate * Time
Interest = 8,500 * 0.05 * 2.5 = N$1,062.50
So Anna needs to pay N$8,500 + N$1,062.50 = N$9,562.50 in two and a half years from now to meet her obligation.
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Find the sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ...
The sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ... is 209.
To find the sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ..., we need to use the formula for the sum of an arithmetic sequence:
Sₙ = n/2 (a₁ + aₙ)
where Sₙ is the sum of the first n terms of the sequence, a₁ is the first term of the sequence, aₙ is the nth term of the sequence, and n is the number of terms we want to sum.
In this case, a₁ = 2 (the first term of the sequence), aₙ = 2 + (n - 1) = n + 1 (the nth term of the sequence), and n = 19 (we want to sum the first 19 terms of the sequence).
Therefore, we can plug these values into the formula and get:
S₁₉ = 19/2 ˣ (2 + 19 + 1)
= 19/2 ˣ 22
= 209
So the sum of the first 19 terms of the arithmetic sequence 2, 3, 4, 5, ... is 209.
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