Answer:
[tex]\frac{5x-3}{4}[/tex]
Step-by-step explanation:
[tex]x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y[/tex]
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party to choose which type of movie they would like best she decides to survey every other child entering a matinee for a cartoon called three pretty princess the total number of children survey was 40 what is wrong with the way she selected her sample check all that apply
The mistake Sofia did will doing survey is mentioned in option A, B, and D.
Survey:
In human research, a survey is a list of questions designed to extract specific data from a specific group of people. Surveys can be conducted by phone, email, internet, street corner or shopping mall. Surveys are used to gather or generate insights in areas such as social surveys and demographics.
Research studies are commonly used to assess thoughts, opinions, and feelings. Research can be specific and narrow, or it can set more global and broad goals. Psychologists and sociologists often use surveys to analyze behavior, but they also serve the more practical needs of the media, such as evaluating political candidates, public health officials, professional organizations, and advertising and marketers. It is also used to meet Research studies are also used in various medical and surgical fields to gather information about the practice patterns of health care workers and their attitudes towards various clinical problems and diseases. Health professionals who may participate in research studies include, but are not limited to, physician nurses and physical therapists. A questionnaire consists of a series of pre-determined questions for a sample. A representative sample, that is, a sample representative of the larger population of interest, can be used to describe the attitudes of the population from which the sample was drawn. Additionally, you can compare the attitudes of different population groups and look for changes in attitudes over time. Proper sample selection is very important as it allows the sample results to be generalized to the population. This is the overall purpose of the research study. Additionally, it is important to ensure that the survey questions are not biased. B. Use of Obscene Language. This prevents survey results from being inaccurate.
According to the Question:
The survey included 40 children.
The movie Sofia chose was " Three Little Princesses"
The mistake in the way she selected her sample was:
Option A: The sample of 40 children is too small to represent all kindergartners.
Option B: The sample was taken at a specific movie, which will skew data towards that type of movie.
Option D: The sample should include the adults with the children instead of only children.
Therefore, the mistake Sofia did will doing survey is mentioned in option A, B, and D.
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1.A prime number is a number which has exactly two factors - 1 and itself. Suhani says, “The only even prime number is 2". Is she right?
Answer:
yes, because there aren't other even prime numbers.
Step-by-step explanation:
2 Is the only even prime number
3 is odd
5 is odd
7 is odd
11 is odd
13 is odd
And so on
work out the circumference of a circle with a diameter 1.8cm . take pi to be 3.142 and give your answer to 1 decimal place ?
circles with centers at o and p have radii 2 and 4, respectively, and are externally tangent. points a and b on the circle with center o and points c and d on the circle with center p are such that ad and bc are common external tangents to the circles. what is the area of the concave hexagon aobcpd?
Area of concave hexagon = 24
To find the area of the concave hexagon, we can divide it into two triangles and a rectangle. The side lengths of the rectangle are the difference of the radii of the two circles (4-2=2) and the distance between the centers of the circles, which can be found using the Pythagorean theorem. Using that we can find the area of the rectangle and the two triangles. The area of the hexagon is the sum of the areas of these three shapes.
In the given case, let the distance between the centers of the circles be 'd'.
d^2 = (4+2)^2
d = √((4+2)^2) = √(36) = 6
Area of rectangle = 26 = 12
Area of each triangle = (1/2)(2d) = (1/2)(2*6) = 6
Area of hexagon = 12 + 2*6 = 24
Area of concave hexagon = 24
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Math work………………………………………………………………………………………………………..
The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The points are given below.
(3, 19) and (9, 25)
The equation of the line that passes through (3, 19) and (9, 25) will be given as,
(y - 25) = [(25 - 19) / (9 - 3)](x - 9)
y - 25 = (6/6)(x - 9)
y - 25 = x - 9
y = x - 9 + 25
y = x + 16
The equation of the line that passes through (3, 19) and (9, 25) will be y = x + 16.
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antti entered a 10 kilometer race. his goal is to finish in one hour. he starts off sprinting, and completes the first 2 kilometers of the race at an average speed of 12 kilometers per hour. to achieve his goal of a one-hour finish time, what average speed must antti maintain for the last 8 kilometers of the race?
So, Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
To finish the 10 kilometer race in one hour, Antti must maintain an average speed of 10 kilometers per hour for the entire race. Since he has already completed 2 kilometers at an average speed of 12 kilometers per hour, he must make up for that extra speed by running the last 8 kilometers at a slower pace.
To find out what average speed he must maintain for the last 8 kilometers to finish in one hour, we can use the formula:
(distance) / (time) = (speed)
So, 8 / 1 = 8 kilometers per hour
Antti must maintain an average speed of 8 kilometers per hour for the last 8 kilometers of the race in order to finish in one hour.
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What is the midpoint formula in coordinate geometry class 10?
For class 10, the midpoint formula in the coordinate geometry for the endpoints ( x₁ , y₁ ) and ( x₂ , y₂ ) is given by:
( x , y ) = [( x₁ + x₂)/2 , (y₁ + y₂)/2].
As given in the question,
In the coordinate geometry of class 10,
To get the x and y coordinate of the midpoint following points need to follow:
Let us consider the endpoints of any line segment be given by ( x₁ , y₁ ) and ( x₂ , y₂ ).To get the x coordinate add x₁ and x₂ then divide it by 2.To get the y coordinate add y₁ and y₂ then divide it by 2.In standard form midpoint formula is written as ( x , y ) = [( x₁ + x₂)/2 , (y₁ + y₂)/2].Therefore, in the coordinate geometry of class 10 the midpoint formula is given by ( x , y ) = [( x₁ + x₂)/2 , (y₁ + y₂)/2].
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does this approximate a normal distribution? does this confirm the first part of the central limit theorem?
No, this does not approximate a normal distribution.
This does not confirm the first part of the Central Limit Theorem, which states that the sum of a large number of independent random variables will approximate a normal distribution. To calculate the probability of a normal distribution, we need to calculate the mean and standard deviation of the sample. We can then use this information to calculate the z-score of a given value in the sample. The z-score will tell us how many standard deviations away from the mean a certain value is. If the z-score follows a normal distribution then the sample approximates a normal distribution. However, if the z-score does not follow a normal distribution then the sample does not approximate a normal distribution.
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I need help with these 4 questions
Answer:
1st one: y=x+2
2nd one: y=x/4
3rd one: y=3x
4th one: y=x-5
Which point on the number line shows the position of square root 38
The point on the number line is between 6 and 7
How to determine the location of the pointFrom the question, we have the following parameters that can be used in our computation:
Number = square root 38
The square root of 38 is approximately 6.16441400296898.
This number is between 6 and 7 on the number line, closer to 6.
Also, it should be noted that
It's not a rational number so it's not on the number line with integers, but it can be represented as a decimal or as an irrational number.
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Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on), what is the largest value that should appear on the y-axis?
Assuming that the y-axis tick marks will be separated by 50 (50, 100, 150, and so on). The largest value that should appear on the y-axis is 400.
Largest value:
The maximum value of a dataset is often called the maximum value (max for short), and the minimum value is often called the minimum value (or min). The difference between the maximum and minimum values, sometimes called the range, is calculated by subtracting the minimum value from the maximum value.
Dependent and Independent Variables for ChartResearchers varied the time of the experiment to measure the activity of the enzyme on glucose-6-phosphate (substrate). This happened because the enzyme acted on glucose-6-phosphate to produce glucose and a phosphate ion (Pi).
The concentration of phosphate ions was measured in the experiment. Therefore, time is the independent variable plotted on the x-axis and phosphate ion concentration is the dependent variable plotted on the y-axis.
The measured phosphate ion concentration ranges from 0 to 355. The maximum possible value is 355, so the y-axis range must be between 0 and 400. So the maximum value on the y-axis is 400.
50 units should separate the y-axis ticks. All tick marks are evenly spaced.
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8th grade Mathematics
What is the solution to the system of equations below?
Y=2/5x-3 and x = -10
A. (-10, -7)
B. (-10, -1)
C. (-7, -10)
D. (-1, -10)
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Answer:
A) ( -10, -7)
Step-by-step explanation:
x = -10 is a vertical line going through x = -10
No matter what y is, x will be -10
Plug -10 into the first equation to find the y value
y = 2/5(-10) - 3
y = -4 - 3
y = -7
In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice. What is the ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator?
The ratio of bottles of orange juice to bottles of apple juice in the cafeteria's refrigerator is 2 : 1.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, In the cafeteria's refrigerator, there are 11 bottles of orange juice and 22 bottles of apple juice.
Therefore, The ratio of bottles of orange juice to bottles of apple juice is,
orange juice : apple juice = 22 : 11.
orange juice : apple juice = 2 : 1.
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Work out the area of a rectangle with base,
b
= 26mm and perimeter,
P
= 68mm.
Please help me
Answer:
208 mm
Step-by-step explanation:
A = Area. P = Perimeter. B = base.
Let's say H = Height
P = 2B + 2H
Now we already know the perimeter is 68 mm, so P = 68:
68 = 2B + 2H
In addition, we know that the base is 26 mm, so B = 26:
68 = 2(26) + 2H
68 = 52 + 2H
16 = 2H ==> subtract 52 on both sides
H = 8 ==> the height of the rectangle is 8 mm
A = B * H
A = 26 * 8 ==> plugin B=26 and H=8 into the Area formula
A = 208 ==> simplified
Hence, the area is 208 mm.
In an experiment with probability function f(x) is binomially distributed with probability p that an attribute occurs at a single trial. If in four trials of the experiment, the attribute occurs four times with probability 16/81, find the value of p
Answer:
Step-by-step explanation:
A binomial probability function has two parameters: n, the number of trials and p, the probability of success (or occurrence of the attribute) in a single trial.
In this case, we are given that the attribute occurs four times in four trials, with probability 16/81. Using this information, we can use the binomial probability formula to find the value of p:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
Where k is the number of successes in n trials, and (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n items without replacement.
In this case,
k = 4 (the attribute occurs four times)
n = 4 (there are four trials)
P(k) = 16/81
We can use this equation to find the value of p:
(4 choose 4) * p^4 * (1-p)^(4-4) = 16/81
1 * p^4 * (1-p)^0 = 16/81
p^4 = 16/81
p = √(16/81)
p = √(4/81)
p = √(1/81)
p = 1/9
The value of p is 1/9
This means that in a single trial of the experiment, the probability of the attribute occurring is 1/9 or about 0.111
Birr 6,500 were divided equally among a certain number of persons. Had there
been 15 more persons, each would have got Birr 30 less. Find the original number
of persons
So, on solving the question we can say that the equation formed is - 6500 = 15x - 30y x = 433.3333333333
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
the equation formed is -
6500 = 15x - 30y
y = 0
x = 6500/15
x = 433.3333333333
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Find the slope of the line graphed below.
Answer:
Step-by-step explanation:
Uh sorry but there is no picture here
Answer:
no graph is attached
Step-by-step explanation:
how is the size of a sample related to the spread of the sampling distribution
The spread of the sampling distribution is equal to the standard deviation divided by the square root of the sample size.
What is sample size?
The sample size is defined as the number of observations used to estimate a given population. The population was used to determine the size of the sample. The process of selecting a subset of individuals from a population to estimate the characteristics of the entire population is known as sampling. For analysis, the number of entities in a subset of a population is chosen.
The spread of the sampling distribution is proportional to the spread of the sample and its size. We calculate the spread of the sampling distribution as the population standard deviation divided by the square root of the sample size.
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The area of a rectangle is represented by 32X exponent three it’s a length of a rectangle is 4X then the width is 
Answer:We know that the area of a rectangle is represented by the product of its length and width, so the equation for the area of the rectangle is:
A = l * w
We also know that the area of the rectangle is given as 32X^3 and the length of the rectangle is 4X. Therefore, we can substitute these values into the equation:
32X^3 = (4X) * w
To find the width of the rectangle, we can divide both sides of the equation by 4X:
w = 32X^3 / 4X
Simplifying the equation, we can get the value of w:
w = 8X^2
So the width of the rectangle is 8X^2
Step-by-step explanation:
find the difference (12m + 5) - (3m - 2) i nee help asap
Answer:
(12m + 5 ) - (3m - 2)
12m + 5 - 3m + 2
12m - 3m + 5 +2
9m + 7
Answer:
[tex] \sf \: 9m + 7 [/tex]
Step-by-step explanation:
Given expression,
→ (12m + 5) - (3m - 2)
Let's simplify the expression,
→ (12m + 5) - (3m - 2)
→ 12m + 5 - 3m + 2
→ (12m - 3m) + (5 + 2)
→ (9m) + (7)
→ 9m + 7
Hence, the answer is 9m + 7.
Will the triangle formed with side 6 cm 8 cm and 10 cm be a right angle triangle?
Answer:
Step-by-step explanation:
Yes, by side 6cm, 8cm, 10cm be a right angle triangle.
explain, by pythagoras theorem,
(hypotenuse)^2 = (perpendicular)^2 + (base)^2
=> (10)^2 = (6)^2 + (8)^2
=> 100 = 36 + 64
=> 100 = 100
so, it is verifying the phythagoras theorem, hence it will form a right angle triangle with side 6cm, 8cm, and 10cm.
wei buys a lottery ticket. the ticket has several ways to win. the table below shows the different ways to win, the probability of winning each way, and how much money each win results in. every time wei buys a ticket, she can win money each way. ways to win probability winnings way 1 68% $0 way 2 24% $0 way 3 6% $5 way 4 2% $25 given the probabilities and payout values in this table, what is the expected value of wei's ticket?
0.80 is the expected value of wei's ticket. This can be solved by using the concept of probability.
What is probability?The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
As, we know
E(x) = x₁. p(x₁) + x₂ . p(x₂) + ....... + x(n). p(x(n))
From the table it is shown that,
E(x) = (68% × 0) + (24% × 0) + (6% × 5) + (2% × 25)
or, E(x) = 0.80
then the expected value of Wei's ticket is: 0.80
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if f(x)=3x+5 and g(x)=x-2 , what is ( f • g)(x)
Answer:
1/3
Step-by-step explanation:
f(gx)-2
formula use the solve this problem
Please help me solve the variable for these two diagrams (please show work if any)
The measure of the angle x in the isosceles triangles are;
x = 44°
1) x = 80°
What is an isosceles triangle?An isosceles triangle is a triangle that has a pair of congruent sides and a pair of congruent angles.
The measure of the specified angle are found as follows;
The isosceles triangle that has 92° as the exterior angle, indicates that we get;
Base angles of the isosceles triangle = (180° - 92°)/2 = 44°
Vertical angles theorem, indicates that the vertical angle and the base angles of the second isosceles triangle are congruent.
Base angles of the second isosceles triangle = 44°
Angle x is a base angle of the second isosceles triangle, therefore, angle x = 44°1) The angle adjacent to the angle x is a base angle of the isosceles triangle that has a base angle of 70°
The vertex angle of the isosceles triangle = 180° - 2 × 70° = 40°
The measure of the section of the indicated 90° angle that is a part of the isosceles triangle that has angle x as the vertex angle = 90° - 40° = 50°
The measure of angle x found using the relationship between the angles in an isosceles is; x = 180° - 2 × 50° = 80°
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Explain how the sequence 10.6, 11.8, and 13 is a function even though there are multiple rules that can represent it.A)The sequence is a function because the domain is unrestricted.B)The sequence is a function because more than one rule can represent it.C)The sequence is a function because each rule produces one output for each input.D)The sequence is a function because each rule produces multiple outputs for each input.
The sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
What is a sequence?A sequence is a grouping of any items or a collection of numbers in a specific order that adheres to some norm.
Given sequence, 10..6, 11.8, 13 has a common difference between all the consecutive terms, that is, 12.
Hence, the sequence represents a linear function.
Since, the sequence is a linear function, every input will produce an output according to the rule.
Hence, the sequence is a function because each rule produces one output for each input, hence option C is the correct answer.
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A solid box with height 20cm, width 80cm and length 10cm needs to be painted.
The paint costs £0.04 per cm2.
How much will it cost to paint the outside of the box?
The amount it would cost to paint the outside of the box is £208
Calculating the cost to paint a boxFrom the question, we are to determine calculate how much it would cost to paint the outside of the box
To do this, we will calculate the surface area of the box
The surface area of a box is given by
S.A = 2(lw + lh + wh)
Where S.A is the surface area
l is the length
w is the width
and h is the height
From the given information,
l = 10 cm
w = 80 cm
h = 20 cm
Thus,
S.A = 2(10×80 + 10×20 + 80×20)
S.A = 2(800 + 200 + 1600)
S.A = 2(2600)
S.A = 5200 cm²
Also, from the given information
The paint costs £0.04 per cm2
Thus,
The cost is £0.04 × 5200
= £208
Hence, the cost is £208
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Which graph represents a linear function?
The correct answer would be an option (B) which graph represents a linear function.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A linear function is defined as a function in the form of f(x) = mx + c where 'm' and 'c' are real numbers.
It represents the line's slope-intercept form, which is written as y = mx+ c.
As per graph (B),
This is a linear function that represents a line, i.e., its graph is a line. Here,
'm' is the slope of the line
'c' is the y-intercept of the line
'x' is the independent variable
'y' (or f(x)) is the dependent variable
Hence, the correct answer would be an option (B).
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[tex]y= 3x + 13\\y=7x + 17[/tex]
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Let's solve your system by substitution.y=3x+13; y=7x+17
Step: Solve y = 3x + 13 for y:
y=3x+13
Step: Substitute 3x + 13 for y in y = 7x + 17 :
y=7x+17
3x+13= 7x+17
3x+13+-7x=7x+17+-7x (Add -7x to both sides)
-4x+13=17
-4x+13+-13=17+-13 (Add -13 to both sides)
-4x=4
-4x/-4 = 4/-4 (Divide both sides by -4)
x=-1
Step: Substitute -1 for x in y=3x+13:
y=3x+13
y=(3)(-1)+13
y=10(simplify both sides of the equation)
Answer:
x= -1 and y= 10
(Hope this helped!)
if it takes 42 minutes to load 3 1/2 trucks, how many minutes will it take to load 6 1/2 trucks? 36 78 84 96 backnext
The information provided indicates that it will take 78 minutes to load.
How are math and time related?Time may be described in mathematics as a continuing and continuous series of events that take place one after another, from the past through the present, and into the future. The length of events or the gaps between them may be measured, compared, or even ordered using time.
If loading three and a half trucks takes 42 minutes, loading one truck will take 42 / 3.5 minutes, or 12 minutes. The time needed to load is calculated by multiplying the minutes per vehicle by 6.5. In this scenario, it would take 78 minutes to load 6 1/2 trucks (12 x 6.5). The time taken is calculated using the formula t = 12n, where n indicates the number of trucks and t is the time in minutes.
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Diana had a coupon for c dollars off of
each box of crackers. Diana bought 2
boxes of crackers for 4.50 – c dollars
each. She also bought 8 cans of soup
for s dollars each. The total amount, in
dollars, she spent on the cans of soup
and boxes of crackers is represented by
the expression below.
2(4.50 – c)+8s
Which expression also represents the
total amount, in dollars, she spent?
A.6.50 – 2c + 8s B. 6.50 – 2c + 10s
C. 9 – c + 8s D. 9–2c + 8s
Answer:
d. 9 - 2c + 8s
Step-by-step explanation:
we can distribute the two by multiplying it by both 4.50 and -c. our result will be 9 and -2c. simply combine that with the 8s that we already had, and we end up with 9 - 2c + 8s.