the sum of the relative frequencies for all classes will always equal group of answer choices the sample size. the number of classes. one. any value l
The sum of the relative frequencies for all classes will always equal option (C) 1 i.e. when all relative frequencies on a set of values are added it is always equal to one.
A relative frequency tells us the number of times a particular value for a data item has been perceived to occur in relation as compared to the total number of values for that set of data items.
It is calculated by dividing the absolute frequency by the total number of values for the set of data items. It is used to express proportions, ratios, percentages, etc.
Absolute frequency is a mathematical term used in statistics to calculate the number of times a value occurs in a trial set of values. It is used to calculate relative frequency, and display a graph to give a visual representation.
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they charge $3.89 per square foot for materials and $122.42 per day of labor. chance spent $2882.48 on the renovation. if the number of square feet is 189 more than the number of days it took for the renovation, how long did the renovation take
Let's call the number of days of labor x, and the number of square feet y.
From the information provided, we can set up the following equation:
What does a math equation mean?
A mathematical statement that shows the equality of two mathematical expressions is the definition of an equation in algebra. As an illustration, the two equations 3x + 5 and 14 are joined by the equal sign to get the equation 3x + 5 = 14.
3.89y + 122.42x = 2882.48
We also know that y = x + 189
We can substitute the second equation into the first equation:
3.89(x + 189) + 122.42x = 2882.48
Expanding and simplifying:
3.89x + 730.91 + 122.42x = 2882.48
x = (2882.48 - 730.91) / (3.89 + 122.42) = 22.98 days
So the renovation took 22.98 days.
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two runners on an east-west highway are 421.2 feet apart heading east. a hot air balloon is flying ahead of them. the angle of elevation to the balloon of the runner closet to the balloon is 24.5o. if the hot air balloon is 1500 feet directly above a point on the highway east of both runners, what is the angle of elevation to the balloon of the runner the greatest distance from the balloon?
The angle of elevation to the balloon of the runner the greatest distance from the balloon is 83.13 degrees.
The concept used in this problem is Trigonometry. Specifically, the problem uses the tangent function, which is one of the three main trigonometric ratios (sine, cosine, and tangent) used to relate the angles and sides of a right triangle.
To solve this problem, we can use the tangent function of trigonometry, which relates the opposite side (the distance from the runner to the balloon) to the adjacent side (the distance from the runner to the point on the highway) and the hypotenuse (the distance from the point on the highway to the balloon).
Let's call the angle of elevation of the runner closest to the balloon as angle A and the angle of elevation of the runner farthest from the balloon as angle B.
tan(A) = opposite / adjacent = (1500 - 421.2) / 421.2 = 878.8 / 421.2
tan(B) = opposite / adjacent = (1500 + 421.2) / 421.2 = 1921.2 / 421.2
We can use the inverse tangent function (arctan) to find the angle of elevation of the runner the greatest distance from the balloon.
B = arctan(1921.2 / 421.2)
The result is in radians, to convert the angle from radians to degrees, we can use the conversion factor of 180/pi.
B = arctan(1921.2 / 421.2) = arctan(4.5536) = 83.13 degrees (approx)
so, the angle of elevation to the balloon of the runner the greatest distance from the balloon is 83.13 degrees.
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HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!
UR AMAZING
Answer:
1/
Step-by-step explanation:
1/3+1/2=5/6
1-5/6=1/6
1/
11. Angel made 1 1/3pounds of trail mix for a
hike. Is there a way Angel can break up
the trail mix into four bags? Explain.
let's firstly convert the mixed fraction to an improper fraction.
[tex]\stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{trail mix}}{\cfrac{4}{3}}\div \stackrel{bags}{4}\implies \cfrac{4}{3}\div \cfrac{4}{1}\implies \cfrac{4}{3}\cdot \cfrac{1}{4}\implies \cfrac{4}{4}\cdot \cfrac{1}{3}\implies \stackrel{per~bag}{\cfrac{1}{3}}[/tex]
(a) Draw the graph of y=x²+x-5 for values of x ranging from -4 to +3. Use a scale of 1cm to 1 unit on both axes. (b) On the same graph draw the line y = 2(x-1). From your graph: (c) find the roots of the equation x²+x-5=0 (d) deduce the roots of the equation x²+x-7=0 (e) deduce the roots of the equation x²+x-5=2(x-1) (f) state the minimum value of x2+x-5.
We must first plot the given linear equation before we can draw the graph for it. Using the equation x = (-b (b2 - 4ac))/2a, the roots are determined. D = b2 – 4ac serves as the discriminant.
How do you deduce roots?link the points that lie on it to form a straight line.
Y = 2x - 1 is the first equation.
Calculate the corresponding values of y by substituting various values of x into the equation.
X Y = 2x-1 point (x, y)
0 -1 (0, -1)
2 3 (2, 3)
4 7 (4, 7)
-1 -3 (-1, -3)
-3 -7 (-3, -7)
On the graph paper, place these points and draw a straight line connecting them.
Using the equation x = (-b (b2 - 4ac))/2a, the roots are determined. D = b2 – 4ac serves as the discriminant.
In order to determine the critical point, we will set the first derivative of the function to zero and solve for x. We may determine whether this point will be a maximum or minimum by taking the second derivative, or f"(x). It will be a minimal value if the second derivative is positive.
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3. What are the three inequalities which define the in shaded region
The three inequalities that define the shaded region are given as follows:
y < 2.y > 2x.y ≤ -x - 2.How to define the inequalities?The inequality that defines the values below the vertical line y = 2 is given as follows:
y < 2.
(open interval as the line is dashed).
The increasing line has an intercept of 0 and slope of 2, with values to the right being shaded and the line being dashed, hence the inequality is given as follows:
y > 2x.
The decreasing line has an intercept of -2 and a slope of -1, with values to the left being shaded, with a closed interval, as the line is shaded, hence the inequality is given as follows:
y ≤ -x - 2.
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In a multicellular organism such as a dog or cat which structures listed would present the greatest in number?
In a multicellular organism such as a dog or cat have tens of trillions of cells and 60 to 80 million cells respectively. So we can say that dog have greatest number of cells
Organisms with many cell types and specialized cells that are gathered together to perform specific duties are known as multicellular organisms. An example of a multicellular organism with organization is a tree or a cat, which have tissues, organs, and organ systems.
Although we are unsure of the actual number of cells in a typical dog, we can estimate it roughly. We may apply this number to dogs, which have in the tens of trillions of cells, as some sources give a ballpark estimate of about fifty trillion cells within a human body. 60 to 80 million cells make up a cat.
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I really need help on this!
Can anyone explain this please ???
The area of the polygon U is 272 cm².
How to calculate the area of U?The area is the volume contained within the boundary of a 2D shape. It is written as a square and is measured in square metres or centimetres, etc.
The idea of area can be thought of as the area inside a particular shape or space. It refers to the volume of space occupied. As a shape gets bigger, its area and perimeter get bigger as well. Area is distinct from volume and only refers to the area occupied by a flat or 2D object.
As they work with different 2D shapes and calculate each one's area, kids will learn that different shapes require the use of different formulas and methods to find the area.
Step1:
3/12 = s/u =k
s t/s u=f² =(s/u)² =s/16
17/s u=s/16
step2:
s u = 17.16 = 272 cm²
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Can someone help with problem 1 and 2
To find the sum of interior angles of a polygon, multiply the number of triangles formed inside the polygon to 180 degrees.
How to find the sum of interior angles ?
The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.Each interior angle of a regular hexagon has a measure of 120°. Because the sum of these angles will always be 360°, then each exterior angle would be 60° (360° ÷ 6 = 60°). If each exterior angle is 60°, then each interior angle is 120° (180° − 60° = 120°).The angles that lie inside a shape, are said to be interior angles, or the angles that lie in the area bounded between two parallel lines that are intersected by a transversal are also called interior angles.
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What is the length of every median in an equilateral triangle whose side length is 5?
Answer:
√18.75 ≈ 4.33
Step-by-step explanation:
The median joins a vertex and the opposite side's midpoint.
side = 5
half side = 2.5
a² + b² = c²
2.5² + b² = 5²
b² = 18.75
b = √18.75
b = 4.33
The length of every median in an equilateral triangle whose side length is 5 is 4.330127018922193.
An equilateral triangle is one in which the angles and all three sides are equal. An equilateral triangle is also known as an equiangular triangle since each of its angles has a value of 60 degrees. Due to its equal sides and angles, the equilateral triangle is regarded as a regular polygon or triangle.
In an equilateral triangle, all three medians have the same length.
The length of a median in an equilateral triangle can be found using the formula:
median length = (side length * sqrt(3))/2.
Therefore, in an equilateral triangle with a side length of 5, the length of each median would be,
[tex]=5*\sqrt{3}/2 \\=2.5*\sqrt{3}\\= 4.330127018922193[/tex].
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621900 house cost 5.4 mortgage interest rate how  much do you have to pay monthly over 5 years
Over a period of 5 years, the amount that you would have to pay monthly is given as $3,201.37
How to solve for the mortgageTo calculate the monthly mortgage payment for a house that costs $621,900 with an interest rate of 5.4% over 5 years, you can use the following formula:
P = (r(1 + r)^n) / (((1 + r)^n) - 1) * L
Where:
P = monthly payment
r = monthly interest rate (5.4%/12 = 0.0045)
n = total number of payments (5 years x 12 = 60)
L = the loan amount ($621,900)
Plugging in the values, we get:
P = (0.0045(1 + 0.0045)^60) / (((1 + 0.0045)^60) - 1) * 621,900
P = $3,201.37
So you have to pay $3,201.37 monthly over 5 years.
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Fraction A pet store that sells birds has 12 male birds for every day 9 female birds write the ratio of female birds
The ratio of female birds is 3/7.
Explain ratio.One way to express something as a percentage of another is to use a ratio, which is a mathematical concept.
How are ratios determined?By typically dividing two figures, ratios contrast them. If you were comparing one data point (A) to another data point, your formula would be A/B. (B). You are multiplying information A by information B, as indicated by this. For instance, if A is 5 and B is 10, your ratio will be 5/10.
The pet store has 12 male birds for every 9 female birds.
total birds = 12 + 9 = 21 birds.
So, the ratio of female birds = female birds / total birds
= 9/21
= 3/7
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In the last three years, Frederico's basketball team won 50 more games than they lost. If they won 140 games, what was the ratio of wins to losses? Write the ratio in all three forms.
Answer:
Step-by-step explanation:
won 140
lost 140-50=90
Ratio wins to losses: 14:9
please help ! Identify the special angle pair created by angles 1 and 2 in each diagram.
The angle relationship between ∠1 and ∠2 are as follows:
Same side interior anglesalternate interior angles corresponding angles.How to find angle relationships in parallel lines?When parallel lines are cross by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, same interior angles, vertically opposite angles etc.
Therefore. let's find the relationship of the angle 1 and 2 in the parallel lines cut by the transversal.
Hence, the relationship are:
1. Same side interior angles
2. alternate interior angles
3. corresponding angles.
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In 1957 an earthquake in Alaska measured about 9.0 on the Richter scale. An earthquake with magnitude 6.0 occurred in Japan in early 2007.
How many times more intense was the earthquake in Alaska than the one in Japan?
The number of times more intense that the earthquake in Alaska was than the one in Japan was 1, 000 times more intense.
How does the Richter Scale work ?The Richter magnitude is determined by measuring the height of the greatest wave that has ever been seen at a given distance from the seismic source.
Each order of magnitude is 10 times more intense than the previous one since the Richter scale is a base-10 logarithmic scale. To put it another way, a two is ten times as intense as a one, and a three is one hundred times stronger.
This means that the number of times more intense that the earthquake in Alaska was than the one in Japan was:
= 10 x 10 x 10
= 1, 000 times
Note : Alaska and Japan earthquake difference:
= 9 - 6
= 3
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. people are given a blind taste test for bottled water and tap water. they cannot differentiate properly. what are the odds that at least 8 out of 9 people will guess the water type correctly?
The binomial distribution is a discrete probability distribution used in probability theory and statistics to explain the number of successes in a set number of trials, where each trial can only result in success or failure. The probability mass function (PMF) shown below defines the binomial distribution as follows:
P(a) = ⁿСₐ * p^a* (1-p)^(n-a)
Where:
a: the number of successes in n trials
n: the total number of trials
p: the probability of success in one trial
ⁿСₐ : n! / (a! * (n-a)!)
the binomial coefficient, which shows how many different ways there are to select k successes from n trials.
A variety of phenomena, including coin tossing, die rolling, and other tests with a set number of trials and only two possible outcomes, can be usefully modelled using the binomial distribution.
In a blind tasting test, if participants are unable to distinguish between bottled and tap water, we can assume that their guesses are random. The probability of accurately predicting the type of water in this situation is 50%.
The likelihood that 8 out of 9 people will properly predict their water type is
(1/2)^8 * (1/2)^1 = (1/2)^9 = 1/512
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Which inequality is true when the value of x is -3? A: -4 - 6 < -3.5 B: -r - 6 > 3.5 C: -x - 6 > -3.5 D: % - 6 > -3.5
The value x = -3 is a solution for the inequality at option C.
-x - 6 > -3.5
Which inequality is true when x is -3?To check this, we just need to evaluate the given inequalities in x = -3, then we can see if the inequality is true or false.
For example, the first one:
-4 - 6 < -3.5
Does not depend on x, so we can ignore that.
The next one is:
-r - 6 > 3.5
Evaluating it on -3 we get:
3 - 6 > 3.5
-3 > 3.5
this is false.
The next one is:
-x - 6 > -3.5
Evaluating we wll get:
3 -6 > -3.5
-3 > -3.5
This is true, so this one is the correct option.
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√196
What is the square root?
Answer: √196 = 14
Step-by-step explanation: mere guess
Trevor loves riding Ferris wheels and roller coasters. While visiting the Putnam County Fair, he first went on the Ferris wheel 1 time and the roller coaster 5 times, using a total of 27 tickets. Then, after taking a break and having a snack, Trevor went on the Ferris wheel 1 time and the roller coaster 1 time, using a total of 7 tickets. How many tickets does it take to ride each attraction?
To ride the Ferris wheel, you need 2 tickets.
And to ride the roller coaster, you need 5 tickets.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
Trevor loves riding Ferris wheels and roller coasters.
Let x represents the ticket of Ferris wheel.
And y represents the ticket of roller coaster.
While visiting the Putnam County Fair, he first went on the Ferris wheel 1 time and the roller coaster 5 times, using a total of 27 tickets.
x + 5y = 27 {equation 1}
Then, after taking a break and having a snack, Trevor went on the Ferris wheel 1 time and the roller coaster 1 time, using a total of 7 tickets.
x + y = 7 {equation 2}
Subtracting equation 2 to equation 1,
we get,
4y = 20
y = 5
x = 2.
Therefore, it takes 2 and 5 tickets to ride each attraction.
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After making several scale drawings, Joseph
decides on the best placement for a new grill on
his deck. He uses a scale of 2 cm for every 5 in.
What is the actual area of the space for Joseph's
new grill in square inches?
Answer: 50
Step-by-step explanation:
i don't know how i got this but yeah its 50
How do you solve for x?
Step-by-step explanation:
please attached for details
suppose that professor rodgers needs one small group of students from his class to participate in a focus group. there are 12 12 students in the class. how many different combinations of four selected students can professor rodgers create?
Professor Rodgers can select the group of 4 students in 11880 ways.
Here the professor has to select 4 students from a group of 12. hence we see that
to select the first student, the professor can do so in 12 ways.
To select the second student, the professor now has 11 students left. Hence he can do in 11 ways.
To select the third student, he is left with 10 students, hence the thirst student can be selected in 10 ways
The fourth student can be selected in 9 ways.
Hence, Professor can select the group in 12 X 11 X 10 X 9 ways
= 11880 ways.
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Jeff wants to purchase a television for his first apartmentThe television costs 750. He can get a zerointerest loan for the television if he pays $100 per month. At the same time, he puts away $200 per month in savings. To figure out when his savings will equal the remaining amount he owes on the television , he starts writing a system of equations :
The correct equation for Jeff after every cost will be y = 750 -100x
Cost of the television = $750
Loan amount paid per month = $100
Amount put in savings = $200
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
Since the amount of $200 is being saved, this means that it is not going away or is being spent. Now, as per the question, the initial remaining balance with Jeff is 750. The balance decreases by the loan amount of 100 per month.
This means that the amount is reduced by = 100x.
Therefore, the equation describing the scenario is -
y = 750 -100x
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What is the quotient of 154,504 divided by 28 with long division?
what are p coordinates?
The coordinates of the point P after the rotation is P' ( 5 , -2 )
What is Rotation?The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.
90° clockwise rotation: (x,y) becomes (y,-x)
90° counterclockwise rotation: (x,y) becomes (-y,x)
180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
270° clockwise rotation: (x,y) becomes (-y,x)
270° counterclockwise rotation: (x,y) becomes (y,-x)
Given data ,
Let the point be represented as P
The coordinates of P = P ( 5 , 2 )
Now , when the point P is rotated by an angle of 270° about the origin ,
On 270° clockwise rotation: (x,y) becomes (-y,x)
And , on 270° counterclockwise rotation: (x,y) becomes (y,-x)
So , assume the rotation is counterclockwise ,
The coordinates of P after rotation is P' ( 5 , -2 )
And , assume the rotation is clockwise ,
The coordinates of P after rotation is P' ( -5 , 2 )
Hence , the coordinates of P after rotation is P' ( 5 , -2 )
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WILL MAKE BRAINIEST!!
Identify a 30 year mortgage
O. A mortgage that will be paid off in 15 years?
O. A mortgage that has the same interest rate and same monthly payment for 30 years.
O. A mortgage that fluctuates interest rates
O.None of the above
Because a 30-year mortgage has a longer term, your monthly payments will be lower and your interest rate on the loan will be higher.
What is the term for a 30-year mortgage?A 30-year fixed-rate mortgage is commonly used to refer to conventional loans. Conventional loans are not backed by the government; however, a 30-year fixed FHA, USDA, or VA loan that is insured by the government is available. Rocket Mortgage® does not currently provide USDA loans.
A 30-year fixed-rate mortgage is a house loan with a 30-year repayment period and an interest rate that remains constant during the loan’s duration. When you take for a 30-year fixed-rate home loan, the amount you make each month remains the same until the loan is paid off.
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Any ideas?
In concave equilateral pentagon ABCDE, angle A = angle B = 108 degrees. What is the degree measure of angle E?
Answer:
In an equilateral pentagon, all angles have equal degree measures, so to find the degree measure of one angle, we need to find the sum of the degree measures of the interior angles and then divide by the number of angles.
Step 1: Find the sum of the degree measures of the interior angles of the pentagon:
180 * (5 - 2) = 540 degrees
Step 2: Divide the sum by the number of angles:
540 degrees / 5 angles = 108 degrees
The degree measure of angle E is 108 degrees.
The degree measure of angle E is 108°.
We can use interior angels theorm.
The sum of the interior angles of a pentagon can be calculated using the formula:
Interior angle sum = (n - 2) × 180
where n is the number of sides of the polygon.
In this case, n = 5, so the sum of the interior angles of the pentagon is (5 - 2) × 180 = 540°.
Since angle A and angle B are both equal to 108°, we can say that:
angle A + angle B = 2 × 108 = 216°.
So, the sum of the remaining three interior angles (angles C, D, and E) is:
540 - 216 = 324°
Since each of these three angles is equal, the measure of each angle must be 324° divided by 3, or:
324 ÷ 3 = 108°
So, the degree measure of angle E is also 108°.
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# 1 Use the relationships and patterns in the tabel to identify the missing
value from the ordered pair. Type the missing value in the answer space
provided.
X
y
2
25
(2,25)
(3,__)
(4, 100)
(5, 125)
3
4
100
5
125
The missing value in the space provided is given as follows:
75.
How to model the proportional relationship?A proportional relationship is modeled as follows:
y = kx.
In which k is the constant of proportionality.
The constant for the relationship in this problem is given as follows:
k = 125/5 = 100/4 = 25/1 = 25.
Hence the relationship is given as follows:
y = 25x.
The missing value is the output when x = 3, hence:
y = 25(3)
y = 75.
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