Answer:
25%
Step-by-step explanation:
75 divided by 300 multiply quotient by 100
Answer:
25%
Step-by-step explanation:
Imagine you had a 300 question quiz and got 75 answers correct. (Not very optimistic, but that's how I think of these problems lol) In other words, 75 out of 300 or 75/300 as a fraction. So: 75÷300=.25, or 25%
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41
The inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
What is the procedure to find inverse of function ?Inverse of a function can be calculated by following the steps mentioned below -
Step 1 - Replace {y} with {x} and vice - versa.Step 2 - Rewrite the equation by solving for {y}.Step 3 - Replace {y} with f⁻¹(x).According to the question, the equation given is as follows
y = f(x) = 2x + 5
y = 2x + 5
Replace 'y' with 'x', we get -
x = 2y + 5
Now, solve for y -
2y = x - 5
y = (x/2) - (5/2)
Replace 'y' with f⁻¹(x) -
f⁻¹(x) = (x/2) - (5/2)
Hence, the inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
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This simple question does not require any statistical calculations, only statistical knowledge. The showerhead heights at a men’s athletic locker room were designed to be 72 inches which is well above the mean height of 69.5”. The heights of the athletes are normally distributed. From the choices listed below, which is more likely to be true: a, b or c?
a.The mean height for a randomly selected sample of 20 players is more than 72 inches.
b.The height of one randomly selected player is more than 72 inches.
c.Both a and b are equally likely.
Why? (Justify your answer with a short answer.)
That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.
Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.
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Find the volumes of the solids whose bases are bounded by the circle x^2 + y^2 = 16, with the indicated cross sections taken perpendicular to the x-axis.
a. squares
b. equilateral triangle
c. semicircle
d. Isosceles right triangle
(a) Volume of Square is 1024/3.
(b) Volume of equilateral triangle is 256√3/3.
(c) Volume of semicircle is 128π/3.
(d) Volume of isosceles right triangle is 512/3.
What is volume?
A three-dimensional space's occupied volume is measured. It is frequently expressed as a numerical value using SI-derived units, different imperial units, or US customary units. Volume definition and length definition are related.
Given:
The bases of the solids are bounded by the circle x^2 + y^2 = 16.
(a) First to find the volume of square.
a. Volume
v = \(\int\limits^4_-_4\) 4(16 - x2)dx
= 8(16x - x3/3)(0 to4 )
= 8(64 - 64/3)
= 1024/3.
b. Volume
v = \(\int\limits^4_-_4\)√3(16 - x2)dx
= 2√3(16x - x3/3(0 to 4)
= 2√3(64 - 64/3)
V = 256√3/3.
c. Volume
v = \(\int\limits^4_-_4\)π/2(16 - x2)dx
= π(16x - x3/3)(0 to 4)
= 128π/3
d. Volume
v = \(\int\limits^4_-_4\)2(16 - x2)dx
= 4(16x - x3/3)(0 to 4)
V = 512/3
Hence,
(a) Volume of Square is 1024/3.
(b) Volume of equilateral triangle is 256√3/3.
(c) Volume of semicircle is 128π/3.
(d) Volume of isosceles right triangle is 512/3.
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Find the length of the portion of the line y = 4 that lies inside a circle of radius 7
centered at the origin
Answer: 2sqrt(33)
Step-by-step explanation:
We want to find the length of the line y = 4 in the circle x^2+y^2=49.
Substitute y = 4 to get x^2 = 33, so x = sqrt(33) or -sqrt(33).
That means the total length is sqrt(33) * 2 = 2sqrt(33).
Hope that helped,
-sirswagger21
The approximate length of the portion of the line is 11.49.
Circle centered at (h,k) with radius r is \((x-h)^{2} + (y-k)^{2}=r^{2}\)
A circle of a radius 7 centered at the origin:
\(x^{2} +y^{2}=49\) ......... (i)
\(y=4\) ..........(ii)
We have a circle and a line. We need to find the points of
intersection and find the distance between those two points.
Replace y with 4 in the 1st equation and solve for x.
\(x^{2} +4^{2} =49\\x^{2} =49-16\\x^{2} =33\\\)
\(x=\) ±\(\sqrt{33}\)
We have the 2 values of x where the line intersects the circle.
Plug those into one of the original equations to find the associated
y values.
\(\sqrt{33} ^{2} +y^{2} =49\\y^{2}=49-33\\y=4\)
Two points on the circle are \((\sqrt{33} , 4)\) and \((-\sqrt{33} , 4)\)
Using the distance formula:-
\(=\sqrt{(4-4)^{2}+(-\sqrt{33}-\sqrt{33)} ^{2} } \\=\sqrt{(2\sqrt{33}) ^{2} } \\=2\sqrt{33}\\\)
≈ 11.49
Therefore, the length of the portion of the line is approximately 11.49.
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Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Ninety children signed up
for a field trip to a museum
On the field trip, the ratio of
adults to children must be 1:6.
So far, 11 adults are going on
the field trip. How many
More adults are needed?
4 more adults are needed
90 ÷ 6 = 15
15 - 11 = 4
woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?
The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
What is the unit price?The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service
Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,
We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,
To find the same, we will first find the unit price of each,
Unit price = total price / total quantity
Since, 1.8 kg of chicken costs $5.40,
Therefore, 1 kg will cost = 5.40 / 1.8 = $3
Similarly,
If 1.6 kg of meat costs $6.40,
Therefore, 1 kg will cost = 6.40 / 1.6 = $4
Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,
Therefore,
2.4 kg of chicken will cost = 2.4 x 3 = $7.2
2 kg of meat will cost = 2 x 4 = $8
In total, she had to pay = 8+7.2 = $15.2
Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2
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35. A house that is selling for $150,000 requires a down payment of $12,000. What percent of the cost of the house is the down payment?
Answer:
8% down payment
Step-by-step explanation:
find lcf which is 3 and then it is 4/50 which is 8/100
(Divide the two numbers by 3 once you find it and then go from there to find 4/50)
Answer:
I dont know expalin more
Area of composite shapes, There is a pair of parallel sides in the following shape.
What is the area of the shape?
The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².
What does mathematicians mean by area?Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.
The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.
So, 1/2 * ( 9+5) * 3
= 1/2 * 14 * 3
= 1/2 * 42
= 21 cm²
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874×1 =
874×10 =
874×100 =
874×1,000 =
Answer:
874×1 = 874
874×10 = 8,740
874×100 = 87,400
874×1,000 = 874,000
Step-by-step explanation:
Answer:
874
8,740
87,400
874,000
Step-by-step explanation:
Find the value of x in the figure.
Answer: x= 18
Step-by-step explanation:
90+25+3x+11= 180
126+3x=180
3x= 54
x= 18
3(18)+11
65
i need help with this
Answer:
do ie your self
Step-by-step explanation:
the 10th term of an arithmetic sequence is 57 and the seventh term is 447 find the common difference and the first term
Answer:
232
Step-by-step explanation:
which doesn't belong
Todd rolled a 12-sided die marked with the numbers 1 to 12. These are his experimental probabilities.
P(odd number) = 18/48
P(greater than 8) = 16/48
P(9) = 12/48
1. Which experimental probability matches the theoretical probability exactly?
2. Which experimental probability is farthest from the theoretical probability?
The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.
Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.
Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.
The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.
The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.
Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.
The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.
The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.
However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.
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An unsharpened, round pencil is in the shape of a right circular cylinder. For one such pencil, the radius is 4.6 mm and the length is 167.7 mm. Find the volume of the pencil. Round your answer to the nearest whole number. Do not type the units in the space below. (Be sure to use the pi button on your calculator to do the calculation.)
The volume of the cylindrical pencil to the nearest whole number is 11149cubic millimeters
What is a cylinder?A cylinder is a 3-D shape consisting of two circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
The volume of a cylinder is πr^2h
r is the radius, h is the height or length of the cylinder
putting the values of r and h in the formula and π=3.142
V= 3.142×4.6×4.6×167.7
there the volume of the cylindrical pencil is 11149cubic millimeters ( nearest whole number)
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The graph represents data from an experiment.
Complete the sentence by selecting the correct distribution type from the drop-down menu.
The distribution of the experiment data is
Choose a: normal b: uniform c: skewed right d: skewed left
.
Answer:
b
Step-by-step explanation:
01:41:3
What value of x is in the solution set of 8x - 6 > 12 + 2x?
Answer:
x > 3
Step-by-step explanation:
Answer:
x > 3
Step-by-step explanation:
Step 1:
8x - 6 > 12 + 2x Equation
Step 2:
6x - 6 > 12 Subtract 2x on both sides
Step 3:
6x > 18 Add 6 on both sides
Step 4:
x > 18 ÷ 6 Divide 6 on both sides
Answer:
x > 3
Hope This Helps :)
a cup holds d ml of tea. a student drinks on fifth of the tea. how much tea is left
The amount of tea that is left after the student has drank is; ⁴/₅d mL
How to solve fraction word problems?In word problems on fractions, what we do is that we will solve different types of problems on multiplication of fractional numbers and division of fractional numbers.
For example;
4/7 of a number is 84. Find the number.
Since 4/7 of a number = 84
The, the Number = 84 × 7/4
Number = 147
Now, in this question, we are given;
Quantity of tea in cup = d ml
Amount of tea a student takes out to drink = ¹/₅ of the quantity in the cup.
Thus;
Amount of tea left = d - ¹/₅d
Amount of tea left = ⁴/₅d
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Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return
Answer: C D B
Step-by-step explanation:
JUST TOOK THE TEST ON ENDEGENUITYYYYY
The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.What are ratios?Ratios are fractional values representing relations between two quantities.
What are proportions?When two ratios are equal, they are said to be in proportion.
What is a scale factor?The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.∴ The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.Learn more about Proportions at
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How do i convert the follwing Powers Of Ten into standard numbers?
\(10^{7}\)
\(10^{5}\)
\(10^{8}\)
\(10^{12}\)
\(10^{6}\)
The standard numbers are obtained from the given numbers as follows;
10⁷ → 1000000010⁵ → 10000010⁸ → 10000000010¹² → 100000000000010⁶ → 1000000Which method can be used to express the numbers in standard form?The standard form of numbers is obtained by expressing the number completely and not using powers of 10
The given numbers in powers of 10 can be expressed in standard form by writing the specified number of zeros next to 1 given by the power of 10 as follows;
Number → Standard form
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Use the given conditions to write an equation for the line in the indicated form.
Passing through (2, 2) and perpendicular to the line whose equation is y = 4x + 7;
point-slope form
A)y=-4x-10
B)y-2=-1/4(x-2)
C)y-2=1/4(x+2)
D)y-2=1/4(x-2)
Answer:
B) y - 2 = (-1/4)(x - 2)
Step-by-step explanation:
Start with the equation of the given line: y = 4x + 7.
Determine the slope of the given line, which is 4.
Since the perpendicular line has a negative reciprocal slope, the perpendicular line's slope is -1/4.
Use the point-slope form of a linear equation: y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.
Substitute the values x₁ = 2 and y₁ = 2 into the point-slope equation: y - 2 = (-1/4)(x - 2).
Simplify by distributing -1/4 to (x - 2): y - 2 = (-1/4)x + 1/2.
Add 2 to both sides to isolate y: y = (-1/4)x + 1/2 + 2.
Simplify further: y = (-1/4)x + 5/2.
The equation in point-slope form for the line passing through (2, 2) and perpendicular to y = 4x + 7 is y - 2 = (-1/4)(x - 2), which matches option B.
Mark invests $150 at the beginning of each quarter in stock ABC. According
to the table below, how many shares of ABC will Mark own at the end of the
year?
ABC
Stock Price
Q1
$15
Q2
$16
Q3
$13
Q4
$18
D
A. 36 shares
B. 44 shares
C. 40 shares
D. 38 shares
A quarter is when something is divided into 4 equal parts. The correct option is D.
What is a Quarter ?A quarter is when something is divided into 4 equal parts , A year has a quarter of 3 months.
It is given that Mark Invests $150 at the beginning of each quarter in stock ABC.
According to the data given
In Q1, the price of the share is $15
150/15 = 10 shares
In Q2, the price of the share is $16
150/16 = 9 shares approx
In Q3, the price of the share is $13
150/13 = 11 approx
In Q4, the price of the share is $18
15/18 = 8
Therefore, the total shares = 10+9+11+8 = 38 shares approx.
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11. The area of a circle is πr2 where r is the length of the radius. Thus, one could take the measure of the central angle in degrees and ____________ _________. Then, multiply that result by πr2.
The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²
What is the area of the sector?We will use the following points to find the area of the sector;
First of all, the angle that is formed in a full rotation is 2π.
The area of a circle is given by the formula; A = πr²
The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π
Thus, the area of a sector is given by the formula;
A = (θ/2π) * πr²
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The functions f(x)=x²-1 and g(x) = -x² + 4 are shown on the graph.
Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
The solution to the given graph is (-√5/2, √5/2)
Quadratic graphGiven the following quadratic graph f(x)=x²-1 and g(x) = -x² + 4
The solution will be the point of intersection of the two curves.
Equate the functions
x²-1 = -x² + 4
Equate to zero
x²+x² - 1- 4 = 0
2x² -5 = 0
2x² = 5
x² = 5/2
x = ±√5/2
Hence the solution to the given graph is (-√5/2, √5/2)
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If a storage tank is holding 450 litres when it is three quarters full, how much will it contain when it is two thirds?
Answer:
400 litres
Step-by-step explanation:
Which factor of 24 can help you solve 24 divided by 4?
Answer:
im an expert
Step-by-step explanation:
A newspaper article reported the results of a study comparing the proportions experiencing pain
relief using a new medication compared to using a placebo. The study showed that the proportion
experiencing pain relief was higher for the new medication (p1) when compared to the placebo
(p2). The researcher is quoted as saying that there was less than a 1 in 100 probability that the
observed differences in proportions was due to chance. The null hypothesis for this study is:
Answer:
there is no question here so how can i give you an answer?
Step-by-step explanation:
.In a different biology lab, a population of single-cell parasites also reproduces hourly. An equation which gives the number of parasites, , after hours is Explain what the numbers 100 and 3 mean in this situation.
Answer: p=50 h=2
Step-by-step explanation:
so its 50 x 2=100 is the answer then u add 3
Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it
Since the y-intercept of the line is (0,1) and the line passes through the point (2,4) which is also satisfied by the equation of the line, the given equation represents the graph of the line.
What is the slope-intercept form of a line?The slope-intercept form of a line is y = mx +c where m is the slope of the line and c is the y-intercept.
The given equation of the line is y = (3/2)x + 1.
To find the y-intercept of the line, substitute x = 0 into the given equation,
y = (3/2)(0) + 1
y = 1
Note that the y-intercept of the graph of the line is also 1.
The graph of the line passes through points (2,4).
To verify whether the equation satisfies the coordinates of (2,4) or not, substitute the coordinates of the point into the given equation:
4 = (3/2)(2) + 1
4 =4
The equation is true.
Hence, it can be said that the given equation represents the graph of the line.
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