By applying the relative frequency concept, we make this table to represent the relative frequency of the problem:
Lunch order
Sandwich Pasta Total
Volleyball 27% 21% 49%
Swimming 37% 14% 51%
Total 64% 36% 100%
Relative frequency is a percentage number that states the amount of data in a certain group.
Relative frequency is given by the number of desired outcomes, also called frequency, divided by the number of total outcomes.
We already have the following information:
Lunch order
Sandwich Pasta Total
Volleyball 19 15 34
Swimming 26 10 36
Total 45 25 70
Now we want to find the relative frequency and put it into the following table:
Lunch order
Sandwich Pasta Total
Volleyball 19/70*100% = 27% 15/70*100% = 21% 34/70*100% = 49%
Swimming 26/70*100% = 37% 10/70*100% = 14% 36/70*100% = 51%
Total 45/70*100% = 64% 25/70*100% = 36% 70/70*100% = 100%
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If the margin of error decreases and the sample size remains the same, the level of confidence.
Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down
What is level of confidence?A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. The 95% confidence level is the most popular, but other levels, like 90% or 99%, are occasionally used when computing confidence intervals.
We are given asked when the sample size is kept the same,
What will happen to the level of confidence if the margin of error decreases?we know that the margin of error is nothing but a statistic which tells us how many percentage points our results will differ from the real population value.we know that when a greater error is allowed, the more will be the confidence(fundamental concept of confidence intervals)
Let Margin of Error be represented by E and the confidence level by C hence the relationship goes like this,
E↑⇔C↑and E↓⇔C↓
Here we are asked when the sample size is kept the same, what will happen to the level of confidence if the margin of error decreases .
The answer is that Level of confidence decreases if the margin of error decreases(when the sample size is kept the same) Goes Down.
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John runs 18 miles in 6 hours. At that rate,
how many miles can John run per hour?
Answer:
3 miles per hour
If the new minimum wage of $8.75 per hour is 102.9412% of the old minimum wage, what was the old minimum wage?
Using proportions, it is found that the old minimum wage was of $8.50.
The new minimum wage is of $8.75 per hour.The old minimum wage was of x.The new minimum wage is 102.9412% of the old minimum wage, hence it can be represented as 1.029412x.The equation for the relationship between these wages is:
\(1.029412x = 8.75\)
\(x = \frac{8.75}{1.029412}\)
\(x = 8.50\)
The old minimum wage was of $8.50.
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How many real solutions does the equation have? u² = -34 no real solution one real solution two real solutions
The number real solutions the equation have u² = -34 is no real solution, the correct option is A.
We are given that;
Function u² = -34
Now,
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation u^2 = -34 has no real solutions. This is because there is no real number u that satisfies u^2 = -34. To see this, we can try to solve for u by taking the square root of both sides:
u = ±sqrt(-34)
However, the square root of a negative number is not a real number. It is an imaginary number that involves the imaginary unit i, defined by i^2 = -1. Therefore, u = ±sqrt(-34) is not a real solution. The equation u^2 = -34 has only imaginary solutions.
Therefore, by equations the answer will be no real solution.
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What is the sum of
-2/9 + 5/9
Answer:
3/9 i think
Step-by-step explanation:
Use Scenario 10-1. Which of the following best explains why it was important to know that the university had
6000 or more entering freshman before using z-procedures in this situation?
A. If the size of the freshman classes were much smaller, we could not be confident that the
Normality condition for these procedures had been met.
B. The central limit theorem would not apply if the population size was below 500.
C. To meet the independence condition for this procedure, we needed to know that the
samples were less than 10% of the population size.
D. To meet the random condition for this procedure, we needed to know that the samples
were less than 10% of the population size.
E. The information about the size of the Freshman classes was not important, it was added to
the problem simply to provide extraneous numbers.
important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C
In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.
The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.
By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.
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If x = false and y = false, is the statement: not x or not y
a) true
b) false
Answer:
false
Step-by-step explanation:
X is equal to Y
therefore,
X = Y
X= false
Y = false
so,
false = false
Please help me I will mark you with a crown!! :))))
Using the net below, find the surface area
of the triangular prism.
3 in.
6 in.
6 in.
16 in
3 in
7 in.
Surface Area =
[?] in.2
Answer:
114 in²
Step-by-step explanation:
Area Triangles:
2 · 1/2(3 · 6)3 · 618Area left rectangle:
6 · 3 = 18Area square:
6 · 6 = 36Area right rectangle:
6 · 7 = 42Area Total :
18 + 18 + 36 + 4236 + 36 + 4272 + 42114The area is \(\boxed{\text{114 square inches}}\)
-Chetan K
Write the equation of the line that passes through the points (−3,9) and (1,−6).
Answer:
y=-3.75x-2.25
Step-by-step explanation:
Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1
(-6)-(9)/(1)-(-3) = -15/4 = -3.75
Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b
9=-3.75*(-3)+b
9=11.25+b
b=9-11.25
b=-2.25
Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b
y=-3.75x-2.25
Step 4: Plug your X values into the formula, you should get your Y values after solving
y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)
y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)
I will mark you brainiest if you can answer this
Answer:
3
Step-by-step explanation:
since all the values are the same.
factorize as shown
5+n=8
n=8-5
n=3.
A circle with a radius of 2 cm sits inside a 7cm x 11cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.
add the following polynomial of x3+3xy-2×y2+y3,2×3-5x2y-3xy2-2y3
The addition of the polynomial \(x^{3}+3xy-2xy^{2} +y^{3}\) with \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
What is a polynomial?
⇒ A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
⇒ In the addition of polynomials, the like terms are added while in subtraction, the like terms are subtracted.
Calculation;
We have been given two polynomial which we have to add \(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\)
The sign after addition or subtraction will always be of the variable having more value.
\((x^{3}+3xy-2xy^{2} +y^{3} )+(2x^{3}-5x^{2} y-3xy^{2}-2y^{3})\)
On adding like terms with each other
⇒ \((x^{3} +2x^{3})+ 3xy-5x^{2} y-(2xy^{2}+3xy^{2})+(y^{3}-2x^{3})\)
⇒ \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\)
Hence the addition of the polynomial\(x^{3}+3xy-2xy^{2} +y^{3}\) and \(2x^{3}-5x^{2} y-3xy^{2}-2y^{3}\) is \(3x^{3}+3xy-5x^{2} y-5xy^{2}-y^{3}\).
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I don’t know how to answer this ?
Answer:
36 + 72 + 36 = ?
Step-by-step explanation:
Answer:
AB and AC are equal because the triangle is an isosceles triangle
Step-by-step explanation:
all three sides of triangle x'y'z' must be to the corresponding sides in triangle xyz and the corresponding angles are .
The required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
It is required to find the corresponding angles.
What is angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given :
Corresponding angles are
∠X'≅∠X,
∠Y'≅∠Y
∠Z'≅∠Z
Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and ∠Z'≅∠Z.
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HELP ME WITH LINEAR RELATIONSHIPS MATH PLEASE, THANK YOUUU !!
Answer:
find the area
Step-by-step explanation:
25+10=35 so the answer to the other side is i think you devide 35 by 5 which is 7 i think the answer is 7
Answer:
2
Step-by-step explanation:
just set it up like a fraction and equal them to each other with 5 over x and 25 over 10. then solve for x
At the Medal Factory, the assembly line produces 98 screwdrivers in a batch. The screwdrivers are
packaged in boxes with 12 each. If 5 batches are made in one day, how many screwdrivers will be leftover
at the end of it?
Answer:
10
Step-by-step explanation:
68 screwdrivers will be leftover at the end of day.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that At the Medal Factory, the assembly line produces 98 screwdrivers in a batch.
The screwdrivers are packaged in boxes with 12 each.
If 5 batches are made in one day
We need to find how many screwdrivers will be leftover at the end of it.
12 screwdrivers in each batch.
So for 5 batches there are 5×12=60 screwdrivers.
The left screwdrivers are 98-60=38
Hence, 68 screwdrivers will be leftover at the end of day.
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How do you subtract mixed numbers step by step?
In order to subtract mixed numbers, you need to make sure the fractions have the same denominator, subtract the numerators, subtract the whole numbers, and then combine the results.
When you subtract mixed numbers, you need to remember to subtract both the whole numbers and the fractions separately. The first step is to make sure that the fractions have the same denominator. Once the fractions have the same denominator, you can subtract the numerators and keep the denominator the same. After that, you can subtract the whole numbers.
Step 1: Make sure the fractions have the same denominator.
Step 2: Subtract the fractions.
Now that the fractions have the same denominator, we can subtract the numerators and keep the denominator the same:
Step 3: Subtract the whole numbers.
Now we can subtract the whole numbers:
Step 4: Combine the result.
Finally, we'll combine the result of the fraction and whole number:
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A student turned in an 18-page paper which is
75% of the number of pages in her first draft.
How many pages did the student have in her
first draft?
pages
me back)
Answer:
i believe its around like a 4.1% or 4.2%
HOPE IT HELPS!!
Between which two integers does square root of /500 lie?
Answer:
22 and 23
Step-by-step explanation:
Step 1: Solve the square root
\( \sqrt{100 \times 5} \)
\( \sqrt{ {10}^{2} \times 5 } \)
We can move the 10² out because it matches the index of the root
\(10 \sqrt{5} \)
Step 2: Input into calculator to find decimals
\(10 \sqrt{5} = 22.36\)
Therefore the square root of 500 lies between 22 and 23
22 and 23
Because 5000 is between 222
(484) and 232 (529), the square root of 500 is in between 22 and 23..
A company orders 18 boxed lunches from a deli for $223.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
the list shows 8 of talishas maths quiz scores.
70, 81, 82, 82, 82, 89, 94, 100
what is the mean absolute deviation of her quiz scores?
Answer: 85
Yupyupyupypu
if the diameter of a circle double, the circumference of the larger circle is how many times the circumference of the original circle?
The circumference of the larger circle is 2 times the circumference of the original circle.
What is the circumference and area of a circle?Let r be the radius of the circle.
Then the area of the circle will be
A = πr² square units
The circumference of the circle will be
C = 2πr units
If the diameter of a circle doubles, the circumference of the larger circle.
Let d be the diameter of the circle.
Then the diameter of the small circle is d and the diameter of the other circle is 2d.
Then the ratio of the circumference of the circles will be
⇒ 2πr₂ / 2πr₁
⇒ 2r₂ / 2r₁
⇒ 2d / d
⇒ 2
The circumference of the larger circle is 2 times the circumference of the original circle.
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Work out the circumference of this circle. take 3.142 and give your answer to 1 decimal place
The circumference of the circle can be calculated using the formula C = 2πr, where π is approximately 3.142 and r is the radius of the circle.
To find the circumference of a circle, we use the formula C = 2πr, where C represents the circumference, π is a mathematical constant approximately equal to 3.142, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on its boundary.
In this case, the given information doesn't provide the value of the radius. Therefore, we need the radius to calculate the circumference accurately. Once we have the radius, we can substitute it into the formula to find the circumference.
To find the radius, we may need additional information such as the diameter of the circle. The diameter is a straight line that passes through the center of the circle and has endpoints on the circle's boundary. If we have the diameter, we can divide it by 2 to obtain the radius.
Once we have the radius, we can calculate the circumference using the formula C = 2πr. By substituting the value of π as approximately 3.142, we can find the circumference to 1 decimal place.
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Given the functions f and g, explain why you cannot find f * g.
f = { (-1,7), (1,3), (3,4), (6,8), (7,0) }
g = { (0,1), (2, -6), (4,7), (5,1), (8, -1) }
Answer:
g={(0,1), (2,-6),(4,7),(5,1), (8,1) } its korrect now
Which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
Answer:
A via the test I just took
find the value of x in here
Answer:
x=30
Step-by-step explanation:
(3x-10)+(2x-20)=180// 5x-30=180//5x=150//x=30
the base of a triangle is 4 meters shorts than its height. what are the height and base of the triangle if its area is 48 square meters?
Height and base of a triangle with given area 48 square meters is 12meters and 8 meters respectively.
As given ,
Area of the triangle = 48 square meters
Let 'y' meters represents the height of the triangle
Then 'y - 4' meters represents the base of a triangle.
Area of a triangle = ( 1/2 ) × base × height
Substitute the values we get
48 = ( 1 / 2) × ( y - 4 ) × y
⇒ 96 = y² - 4y
⇒ y² - 4y - 96 = 0
⇒ y² - 12y + 8y - 96 = 0
⇒ ( y - 12 ) ( y + 8 ) =0
⇒ y = 12 or y = -8
Height cannot be negative.
⇒y = 12meters
Base = 12 -4
= 8 meters
Therefore, height and base of a triangle with given area is 12 meters and 8 meters respectively.
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The following parametric equations trace out a loop.
x=9-(4/2)t^2
y=(-4/6) t^3+4t+1
Find the t values at which the curve intersects itself: t=± _____
What is the total area inside the loop? Area ______
Answer: Therefore, the total area inside the loop is (32/15)\(\sqrt{3}\) square units.
Step-by-step explanation:
To find the t values at which the curve intersects itself, we need to solve the equation x(t1) = x(t2) and y(t1) = y(t2) simultaneously, where t1 and t2 are different values of t.
x(t1) = x(t2) gives us:
9 - (4/2)t1^2 = 9 - (4/2)t2^2
Simplifying this equation, we get:
t1^2 = t2^2
t1 = ±t2
Substituting t1 = -t2 in the equation y(t1) = y(t2), we get:
(-4/6) t1^3 + 4t1 + 1 = (-4/6) t2^3 + 4t2 + 1
Simplifying this equation, we get:
t1^3 - t2^3 = 6(t1 - t2)
Using t1 = -t2, we can rewrite this equation as:
-2t1^3 = 6(-2t1)
Simplifying this equation, we get:
t1 = ±sqrt(3)
Therefore, the curve intersects itself at t = +\(\sqrt{3}\) and t = -\(\sqrt{3}\)
To find the total area inside the loop, we can use the formula for the area enclosed by a parametric curve:
A = ∫[a,b] (y(t) x'(t)) dt
where x'(t) is the derivative of x(t) with respect to t.
x'(t) = -4t
y(t) = (-4/6) t^3 + 4t + 1
Therefore, we have:
A = ∫[-\(\sqrt{3}\),\(\sqrt{3}\)] ((-4/6) t^3 + 4t + 1)(-4t) dt
A = ∫[-\(\sqrt{3}\)),\(\sqrt{3}\)] (8t^2 - (4/6)t^4 - 4t^2 - 4t) dt
A = ∫[-\(\sqrt{3}\),\(\sqrt{3}\)] (-4/6)t^4 + 4t^2 - 4t dt
A = [-(4/30)t^5 + (4/3)t^3 - 2t^2] [-\(\sqrt{3}\),\(\sqrt{3}\)]
A = (32/15)\(\sqrt{3}\)
Therefore, the total area inside the loop is (32/15)\(\sqrt{3}\) square units.
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Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
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can some one explain how this would be congruent will mark brainly
Answer:
Add the area of each object.
Step-by-step explanation:
a=4 (add up the two squares in the middle. Then, add up the triangles.)
b=4 (add up the two squares in the middle. Then, add up the triangles.)
In conclution, they are both congruent but just rotated differently.