The missing rectangle has a relative frequency of 0.15, and this is the same as the height.
Let us define what a frequency and relative frequency are
The frequency of a datum is the number of times a given item (datum) appears in the data set.
While the relative frequency is the fraction or proportion of times taken from the whole in which an item/datum occurs.
So, from the image I uploaded, the relative frequency column represents the height of the histogram. Let the height of the missing rectangle be x.
Therefore the heights of the rectangles written from left to right are 0.05, 0.1, 0.15, x, 0.25, 0.2, and 0.1.
From the definition of relative frequency, the total sum of relative frequency is 1, if represented as decimals or fractions it can either be expressed in percentage, or decimal (fractions). In this question, it is represented in decimal, and the sum of all the relative frequency is 1.
0.05 + 0.1 + 0.15 + x + 0.25 + 0.2 + 0.1 = 1 ;
0.85+ x =1
Therefore, x = 1 - 0.85= 0.15
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Selfie death article COLLABORATIVE DISCUSSION
Before you began reading this article, what was your opinion of
selfies? Did your opinion change based on the information the
author included? Discuss your thoughts with a partner.
Before reading this article, my opinion of selfies is that they were easy and not very dangerous photographs to capture. When I read the article my perspective changed to be more careful when taking a selfie.
What is a selfie?A selfie is a term that refers to a photograph that is taken autonomously of oneself. Now most devices include a front camera to take photos of yourself, the famous selfies.
My perspective before reading the article was that selfies were ordinary photos like any other. However, after reading the article I see that they have a high risk of accidents, so it is necessary to be careful not to be in a risky situation because of a photo.
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there are 1700 bottles of water arranged into 4 groups. the second group has 20 more bottles than the first group. the third group has twice as many bottles as the second group. the fourth group has 10 more bottles than the third group. how many bottles are in each group? solve this problem in two ways: with the aid of a diagram and with algebraic equations. explain both solu-tion methods, and discuss how they are related.
There are 265 bottles in the first group, 285 in the second group, 505 in the third group, and 515 in the fourth group in both the ways.
Solution Method 1: With the aid of a diagram
We can make an outline to monitor the quantity of jugs in each gathering. We should dole out a variable to address the quantity of containers in the principal bunch, x.
Bunch 1: x containers
Bunch 2: x + 20 containers
Bunch 3: 2(x + 20) = 2x + 40 containers
Bunch 4: 2x + 50 containers
The complete number of containers is x + (x + 20) + (2x + 40) + (2x + 50) = 1700
Along these lines, 6x + 110 = 1700
Taking away 110 from the two sides: 6x = 1590
Separating the two sides by 6: x = 265
In this way, there are 265 jugs in the principal bunch, 285 in the subsequent gathering, 505 in the third gathering, and 515 in the fourth gathering.
Solution Method 2: With Algebraic Equations
We can address the quantity of containers in each gathering with factors:
Bunch 1: x containers
Bunch 2: y bottles
Bunch 3: z bottles
Bunch 4: w bottles
Considering that:
y = x + 20
z = 2y = 2(x + 20) = 2x + 40
w = z + 10 = 2x + 50
Also, the all out number of jugs is x + y + z + w = 1700
Subbing the upsides of y, z, and w:
x + (x + 20) + (2x + 40) + (2x + 50) = 1700
Working on the articulation:
6x + 110 = 1700
Taking away 110 from the two sides:
6x = 1590
Separating the two sides by 6:
x = 265
Thus, there are 265 containers in the principal bunch, 285 in the subsequent gathering, 505 in the third gathering, and 515 in the fourth gathering.
Connection between the two techniques:
The two techniques utilize similar conditions to address the quantity of jugs in each gathering, and they show up at a similar arrangement. The thing that matters is that the principal technique presents the arrangement in a diagram, which can be simpler for certain individuals to comprehend, while the subsequent strategy utilizes mathematical conditions, which can be more proficient for taking care of the issue. Notwithstanding, the two strategies depend on similar ideas and standards of polynomial math.
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a jar contains 4 white, 10 blue, and 16 red marbles. if one marble is drawn at random from the jar, find the probability that:
The probability of drawing a white marble is 2/15
How to determine the probability that a white marble is selectedFrom the question, we have the following parameters that can be used in our computation:
4 white, 10 blue, and 16 red marbles
This means that
Total = 4 + 10 + 16
Total = 30
So, the probability of drawing a white marble is
P = White/Total
Substitute the known values in the above equation, so, we have the following representation
P = 4 / 30 = 2/15.
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Complete question
a jar contains 4 white, 10 blue, and 16 red marbles. if one marble is drawn at random from the jar, find the probability that a white marble is selected
pls help plssssss
it would really help
The length of side AC rounded to 1 decimal place is 17.3 cm.
What is the length of side AC?The figure on the image is a right triangle.
From the image;
Angle B = 68 degreesOpposite to angle B = AC = ?Adjacent to angle B = AB = 7cmusing the trigonometric ratio, we determine the length of side AC.
Tangent = Opposite / Adjacent
tan( 68 ) = AC / 7
AC = tan( 68 ) × 7
AC = 17.3 cm
Therefore, side AC has a length of 17.3 cm.
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ians car can go 224 miles on 7 gallons of gas. During a drive last weekend, ian used 4 gallons of gas. How far did drive? Use pencil and paper. Explain how the problem changes if you were given the distance drove last weekend instead of how much gas used.
Answer:
see below
Step-by-step explanation:
4/7*224 = 128
224 miles / 7 gallons = 32 miles per gallon
so given either factors, you'll be able to solve the other.
the problem will become how many gallons used to drive xxx miles.
Which expression is equivalent to x2 + 10x + 24?
Question 4 options:
(x + 8)(x + 3)
(x + 8)(x + 2)
(x + 12)(x - 2)
(x + 6)(x + 4)
Answer: (x+6)(x+4)
Step-by-step explanation: Search math w ay on the internet :)
5(6-3)=6+13 simplified
Answer:
15=19
Step-by-step explanation:
5×3=6+13
15=19
so 15=19
Determine whether each ordered pair is a solution or not a solution to this system of inequalities.
y< −x
2x+y>2
The ordered pair that is the solution of the given system of inequalities is (2, -2)
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given is a system of inequalities, y < -x and 2x+y > 2, we need to determine solution set of the given system of inequalities,
The inequalities are,
y < -x....(i)
2x+y > 2
y < 2-2x...(ii)
To find the ordered pair, put y = -x in equation Eq(ii) and replace < by =
-x = 2 - 2x
x = 2
y = -2
Therefore, the ordered pair, is (2, -2) {look at the graph attached}
Hence, the ordered pair that is the solution of the given system of inequalities is (2, -2)
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in a group of five friends, the sums of the ages of each group of four of them is 58, 59, 61, 62 and 64. what is the age of the oldest of the five friends?
The age of the oldest of the five friends is 19 years and the youngest is 12 years.
The given information is in a group there are five friends, the sums of the ages of each group of four of them are 58, 59, 61, 62 and 64.
The range of a data set is the difference between smaller values and a larger value in the set.
To find the age of the oldest person
Range=oldest age -the youngest age
[tex]oldest=\frac{Range-youngest age}{4}[/tex]
R=(64-58/4)+(64-59/4)+(64-61/4)+64-62/4)
R=1.5+1.241+0.75+0.5
R=3.991.
64/4=16.
O=16+3.991
Oldest=19 years.
Youngest=16-3.9=12 years.
Hence, the age of the oldest of the five friends is 19 years.
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3. During arugby Contest; 54 342 People watched the first game while 49990 people watched the Second game. If 156 330 people watched all three games, How many watched the third game ?
Answer:
51998
Step-by-step explanation:
To solve the problem, we need to subtract the number of people who watched the first two games from the total number of people who watched all three games:
156330 - (54342 + 49990) = 156330 - 104332 = 51998 people watched the third game.
Therefore, 51998 people watched the third game.
Thirty five divided by three
Answer: Thirty-five divided by three equals 11.67.
Step-by-step explanation:
Division is the mathematical operation that finds the number of times one quantity is contained within another. In this case, 35 is being divided by 3 to find the result.
To perform the division, we divide 35 by 3, which gives us a quotient of 11 with a remainder of 2. If we want to express this result as a decimal, we can add the remainder divided by the divisor, so the answer would be 11 + 2/3 = 11.67.
In summary, 35 divided by 3 equals 11.67, meaning that 3 goes into 35 a total of 11 times with a remainder of 2.
what is separate the population into non overlapping groups and then obtain a simple random sample from each group is called?
"Stratified Sampling" is the process of dividing the population into non-overlapping groups and taking a simple random sample out of each category.
Explain about the Stratified Sampling?Differentiated stratified sampling. By employing a characteristic to divide the population, we can then obtain a proportional randomized sample of each group.
The population is divided into non-overlapping groups, or strata, and a proportional simple randomized sample is taken from each stratum to create a stratified sample. Each group's members ought to have some things in common. Once the strata have been established, we must decide how many people will be chosen from each stratum. Here, proportionality of the chosen number is crucial.Thus, "Stratified Sampling" is the process of dividing the population into non-overlapping groups and taking a simple random sample out of each category.
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Two Functions are given
f (x) = -x^2 + 3x - 2
g (x) = -x + 1
What is one value for x such that f (x) g (x)
the value of x will be either 1 or 3 for the condition f (x) = g (x).
What are Systems of equations?Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equations: f (x) = -x^2 + 3x - 2 and g (x) = -x + 1
To find the value of x for the f (x) = g (x)
So,
-x^2 + 3x - 2 = -x + 1
-x² + 4x -3 = 0
multiply by -1 in the equation
x² - 4x +3 = 0
x² - 3x - x +3 = 0
take (x-3 ) common
x(x -3)-1(x- 3) = 0
Thus,
x = 1 or 3
Therefore, the value of x will be either 1 or 3 for the condition f (x) = g (x).
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A certain bacteria has a half-life of every 1.5 hours. If you start with 600 bacteria cells, how many will you have left after 6 hours?
Please include an explanation if you can!!!
The number of bacteria that is left is 38
How to determine the bacteria's leftThe half-life is the time it takes for half of the bacteria to reduce
The time is given as 1.5 hours
After 1.5 hours:
The number will have gone through 6 / 1.5 = 4 half-lives.
So, the number of bacteria cells after 6 hours will be 600 * (1/2)^4
Evaluate
600 * (1/2)^4 = 600 / 16 = 37.5
Approximate
600 * (1/2)^4 = 600 / 16 = 378
Since the number of bacteria cells is 37.
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what is 4/5x12 i need help please its so hard to do it
The simplification of the given fraction above would be = 9⅘
What is a fraction?A fraction is defined as the part of a whole value which is represented in the form of a numerator and a denominator.
The given fraction that requires simplification is as follows:
= 4/5 × 12
= 48/5
= 9⅘
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Pls help its for a grade and I really need it bc I have a d
Answer:
232 and 58
Step-by-step explanation:
bro just use a calc
Answer:
Part A: C, 129 & Part B: A, 58
Step-by-step explanation:
Part A:
36+ 51 + 42= 129
Part B:
152- 49 - 45= 58
To double check part B:
58 + 49 + 45 = 152
white die and two red dice are rolled. what is the probability that the value of the white die is greater than each of the values found on the red dice?
The probability that the number on the red die is smaller than the number on the white die is, 5/12
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
There are 36 possible ways of throwing a dice twice. If the first throw is 1, then there are five possibilities for a greater throw in the second; if the first throw is 2, then there are four, and so on.
Thus the total number where the second throw is greater than the first is 5 + 4 + 3 + 2 + 1 + 0 = 15, so the probability is 15 / 36 = 5 / 12
There is a 5/6 chance that the dice are different.
There is a 1/2 chance that the first will be bigger for two different dice.
Hence, The probability is 5/6 x 1/2 = 5/12
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An angle measures 4.2° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
If 2 angles are complementary, they are equal to 90 degrees. So, lets say that the measure of the first angle is x, and the measure of the second angle is y.
Since x measures 4.2 degrees more than its complementary angle (y), we can say that x - 4.2 = y
And, since they are complementary angles, x+y = 90.
We can now use a system of equations to solve. Since we know y = x-4.2, we can substitute y with x-4.2, making the equation x + x - 4.2 =90.
Simplify:
x+x-4.2=90
2x -4.2 =90
2x = 94.2
x= 47.1
Since y=x-4.2, we can now find y.
y = x-4.2
y= (47.1)-4.2
y=42.9
So, the measure of the angles is 47.1° and 42.9°.
Hope this helps!
Will Mark Brainlist!
Solve for x on the diagram below
Answer:
x = 20
Step-by-step explanation:
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
how to find the possible values for theta where 0 degrees is greater than theta and 360 degrees is greater than theta
The possible values for theta, where 0 degrees is less than theta and 360 degrees is greater than theta, would correspond to an angle measure in the range 0 < theta < 360 degrees.
This range includes all angles greater than 0 degrees and less than 360 degrees, which correspond to a full revolution around a circle.
It's important to note that angle measures are typically represented in either degrees or radians, with 360 degrees corresponding to 2π radians. So, if you need the values of theta in radians, the range would be 0 < theta < 2π.
In general, the possible values for theta are dependent on the context in which they are used and the specific system of measurement being employed. For example, in some cases, the range of possible values for theta may be restricted to between 0 and 180 degrees, or between -180 and 180 degrees, depending on the application.
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Find the value of X.
The value of x is 10
What are similar figures?Similar figures are enlargements of each other using a scale factor. All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.
This shows that x-3/21 = x-1/27
21(x-1) = 27(x-3)
divide through by 3
= 7(x-1) = 9 ( x-3)
7x -7 = 9x-27
collect like terms
9x -7x = 27-10
2x = 20
divide both sides by 2
x = 20/2
x = 10
therefore the value of x is 10
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please help i eed the answer now thanks and rating will be given please
Find the slope of the line that contains the following points: (17, -12) and (12, 8). Use the slope formula.
PLEASE NEED HELP ASP!
What is a residual? What does it mean when a residual is positive? Choose the correct answer below. A. A residual is the difference between an observed value of the response variable y and the value of the corresponding explanatory variable x. If it is positive, then the response variable is greater than the explanatory variable. B. A residual is the difference between an observed value of the response variable y and the average value of the response variable. If it is positive, then the response variable is greater than the mean. C. A residual is the difference between an observed value of the response variable y and the predicted value of y. If it is positive, then the observed value is greater than the predicted value. D. A residual is a data point that does not fit the pattern of the rest of the data. If it is positive, then the data point should still be included in the data set.
(C) The difference between an actual and expected value for the response variable y is known as a residual. If it is positive, the observed value is greater than the expected value.
What is residual?The discrepancy between a response variable's observed value and its expected value as predicted by the regression line.
A residual is a discrepancy between an observed and expected value for the response variable y.
In the event that it is positive, the observed value exceeds the expected value.
The information that was ignored throughout the (first) cycle of the modeling is contained in the residuals, which serve as a significant source of information.
They must thus divulge something to us.
It is possible to describe the residual plot to the students as a kind of magnifier for the modeling procedure.
Therefore, (C) the difference between an actual and expected value for the response variable y is known as a residual. If it is positive, the observed value is greater than the expected value.
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It takes Jenny 16 minutes to walk her dogs 4 blocks. How many minutes does it take her to walk 1 block? Find the unit rate by using what you know about ratios.
Answer:
16/4 = 4
1 block = 4 minutes
4 blocks = 16 minutes
to put this into a ratio it would be 1:4
Find the length of YB
Answer:
YB = 11.2
Step-by-step explanation:
Δ AYZ and Δ ABCare similar by the AA postulate
then the ratios of corresponding sides are in proportion , that is
[tex]\frac{AY}{AB}[/tex] = [tex]\frac{AZ}{AC}[/tex] ( substitute values )
[tex]\frac{7}{7+YB}[/tex] = [tex]\frac{15}{15+24}[/tex] = [tex]\frac{15}{39}[/tex] ( cross- multiply )
15(7 + YB) = 7 × 39 = 273 ( divide both sides by 15 )
7 + YB = 18.2 ( subtract 7 from both sides )
YB = 11.2
The length of YB would be; 11.2
We know that proportion is a fraction of a total amount, and the measures are related using a rule of three.
Since Δ AYZ and Δ ABC are similar by the AA postulate
Then the ratios of corresponding sides are in proportion , that is
AY/AB = AZ/AC
cross- multiply ;
15(7 + YB) = 7 × 39 = 273
7 + YB = 18.2
Hence, YB = 11.2
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Practice
1.
Three students wrote expressions for this diagram.
Explain or show why they are each correct.
Yolanda: 16 ÷8=2
Riku: 16 ÷ 2=8
Mariana: 8x2 = 16
All three expressions are correct based on the properties of arithmetic operations.
How to explain the expressionYolanda wrote 16 ÷ 8 = 2, which means she is finding how many times 8 fits into 16. The answer is 2, meaning 16 is divided into 8 equal parts and each part has a value of 2.
Riku wrote 16 ÷ 2 = 8, which means he is finding how many times 2 fits into 16. The answer is 8, meaning 16 is divided into 2 equal parts and each part has a value of 8.
Mariana wrote 8 x 2 = 16, which means she is finding the product of 8 and 2. The answer is 16, meaning 8 multiplied by 2 gives a total of 16.
All three expressions are correct.
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The ratio of c:d is 1:3. The ratio of d:e is 2:3. What is the ratio of c:d:e?
The ratio of c:d:e is 1:3:2.
How The answer was obtainedTo find the ratio, you can multiply the first ratio by the second ratio: 1 * 2 = 2 and 3 * 3 = 9, so the ratio becomes 2:9:6, which can be simplified to 1:3:2.
A ratio is a comparison between two values. To calculate a ratio, divide the first value by the second value. For example, if you have three apples and seven bananas, the ratio of apples to bananas would be 3/7.
You can also simplify a ratio by dividing both values by their greatest common divisor. For example, if the ratio of apples to bananas is 6/14, you could simplify it to 3/7.
It's also possible to express a ratio as a fraction, decimal, or percentage. To convert a ratio to a fraction, simply divide the two values. To convert a ratio to a decimal, divide the numerator by the denominator. To convert a ratio to a percentage, multiply the ratio by 100.
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Dylan and mackenzie are 230 feet apart when they start walking toward one another. mackenzie walks twice as fast as dylan so whenever dylan travels x feet, mackenzie travels 2 x feet. let x represent the number of feet dylan has traveled since he started walking toward mackenzie.
The total distance between Dylan and Mackenzie is reduced by x feet each time Dylan travels x feet, since Mackenzie travels 2x feet during that time. Therefore, their combined distance of travel is x + 2x = 3x feet.
Since their starting distance apart was 230 feet, and their combined distance of travel is 3x feet, we can write an equation to represent the situation:
230 = 3x
To find the distance each person travels, we can solve for x by dividing both sides of the equation by 3:
230 / 3 = 3x / 3
x = 230 / 3 = 76.67 feet
So, Dylan travels x = 76.67 feet and Mackenzie travels 2x = 2 * 76.67 = 153.33 feet.
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Gwen's living room is rectangular and measures 6 meters by 5 meters. Beginning in one corner, Gwen walks the length of her living room and then turns and walks the width. Finally, Gwen walks back to the corner she started in. How far has she walked? If necessary, round to the nearest tenth.
how many meters?
Gwen's walked 18.81 meters in her living room.
What is Pythagoras theorem?
The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
We have to given that;
Gwen's living room is rectangular and measures 6 meters by 5 meters.
Now, Beginning in one corner, Gwen walks the length of her living room and then turns and walks the width.
Hence, Distance cover by him = 6 + 5
= 11 meters
And, Finally, Gwen walks back to the corner she started in.
Hence, The distance cover to back to the corner she started in is,
⇒ d² = 6² + 5²
⇒ d² = 36 + 25
⇒ d = 61
⇒ d = 7.81 meters
Thus, The total distance cover by her by walking = 7.81 + 11
= 18.81 meters
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