Tom surveyed a random sample of the junior of his school to determine whether the Fall Festival should be held in October or November. Of the 80 students surveyed, 24.8% said they preferred November. Based on this information, about how many students in the entire 230-person class would be expected to prefer having the Fall Festival in November. SHOW YOUR WORK PLEASE!!!
a. 50
b. 60
c. 75
d. 80
Answers
9514 1404 393
Answer:
b. 60
Step-by-step explanation:
We assume the percentage for the sample holds for the whole class, so the estimated number preferring November is ...
0.248 × 230 = 57.04 ≈ 60
About 60 students prefer November.
Related Questions
Tanner brings donuts to school and for his friends. He brings six chocolates frosted donuts, eight glazed donuts, and four sprinkles donuts, In home room, his friends eat 1/3 of the donuts, How many donuts, did his friends eat
Answers
Answer:
6 donuts
Step-by-step explanation:
total donut = 6 + 8 + 4
= 18
\( \frac{1}{3} \times 18 = 6\)
GEOMETRY PROOF REASONING 15 POINTS
Answers
Answer:
SAS
Step-by-step explanation:
Side: AB ≅ BC
Angle: ∠ABD ≅ ∠CBD
Side: ΔABD and ΔCBD share BD, which is a side length
Set up and evaluate the integral needed to find the exact volume V of the solid
â
whose base is in the first quadrant bounded by the curve y =
the line x = 2, and the x-axis using cross-sections perpendicular to the x-axis that are semi-circles.
Set up and evaluate the integral needed to find the exact volume V of the solid
whose base is in the first quadrant bounded by the curve y = root of 8-4x
the line x = 2, and the x-axis using cross-sections perpendicular to the x-axis that are semi-circles.
Answers
The exact volume of the solid is 16,7552 units of volume.
We shall encounter several solids and their corresponding volumes when discussing the idea of the volume of a combination of solids. As is well knowledge, the surface areas and volumes of all three-dimensional forms depend on their dimensions. As we can see in reality, several forms are created by fusing a variety of shapes. For instance, the combination of cone and cylinder shapes creates a tent. Similar to how a cone and a hemisphere combine to form an ice cream cone. As a result, the volume of the solids combined will equal the total volume of the individual solids.
A cuboid is solid with six rectangular faces on all sides; if the cuboid's length, width, and height are equal, it is a cube. 8 vertices, 6 faces, and 12 edges are shared by the cube and the cuboid. Cuboids have square-shaped faces, while cubes have rectangular-shaped faces.
Given,
As our solid has half of the volume of the cone: V = ( 32π /3) /2 = 167552 units of volume.
The base of the solid is a region in the first quadrant bounded by the x-axis, the y- axis, and the line x+2y=8.
Expressing the line x+2y=8 as a f(x): 2y = 8-x => y = 8-x/2
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Monster Multiplication Masters
Solve each word problem by mutriplying using the stonderd algorithm. Show your work.
1. Kenneth bought 315 packages of cookies. Each package had 64 cookies. How many cookies
did Kenneth buy?
79)
2. At a local school. 940 students each wrote 40 letters to students in another country. How
many letters were written in allP 240
3. There are 36 squares on each red and white checkered tablecloth How many squares are
there on 7.01 tablecloths?
Answers
Answer:
1.) 20,160 cookies, 2.) 37,600 Letters to students in a different country 3.) 252.36 Exact form, Approximate form: 252
Step-by-step explanation:
The first question is written in standard form like this:
Standard Form: 315 x 64 = 20,160
Algebraically/Logical: 315 Packages x 64 Cookies = 20,160 Cookies in All
Therefore, Kenneth bought 20,160 Cookies
The second question is written like this:
Standard Form: 940 x 40 = 37,600
Algebraically/Logical Reasoning: 940 students x 40 letters = 37,600 letters written to students in a different country.
Note: This question has a random P 240, That will be erased so that is why the equation is 940 x 40
The third question is written like this:
Standard Form: 36 x 7.01 = 252.36
Approximate form: 36 x 7 = 252
Algebraically/Logical Reasoning: The standard form would explain it all but if I was answering this question I would round 7.01 to the one's place because there is no way you would get a decimal when trying to solve an even amount of cloths. So there are 36 squares in one table cloth, times that by 7 which is equal to 252 approximently.
The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown?
A) No, the residuals would tend to be one-sided.
B) No, the residuals would be randomly distributed.
C) Yes, the residuals would be randomly distributed.
D) Yes, the residuals would tend to be one-sided.
I will not accept links, and if you use a link, I will report you.
Answers
Answer:
D) Yes, the residuals would tend to be one-sided.
Step-by-step explanation:
hii :) have a gr8 day
The points L(0, 5), M (-7, 1), N(-9, -5), and O(-2, -1) form quadrilateral
LMNO. Plot the points then click the "Graph Quadrilateral" button
Answers
Point d is at (5, -5), which is five units to the right of the origin on the x-axis and five units below the origin on the y-axis. Similarly, point e is at (7, 3), point f is at (-1, 5), and point G is at (-3, -3).
The given points, d (5, -5), e (7, 3), f (-1, 5), and G (-3, -3) form quadrilateral DEFG. To plot these points, we can first draw the x and y axes on a graph paper.
Then, we can plot each point by locating its x-coordinate on the x-axis and its y-coordinate on the y-axis.
After plotting the points, we can click on the "Graph Quadrilateral" button to see the quadrilateral DEFG. It should be a closed shape with four sides, connecting the four points in the given order.
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Find volume of a 6mi sphere
Answers
How to answer matrix question 1.
A=
5 -3
-9 0
-5 1
-7 -4
G=
-1 -9
-3 -10
8 -6
1 0
4[A] + 2[G] =
Answers
Answer:
A=4 -3 5.3748362
Step-by-step explanation:
Bob dio cuatro quintos de sus lapices a barbara, luego dio dos tercios de los lapices restantes a bonnie, si termino con 10 lapices para el... ¿ cuantos lapices tenia bob al principio?
Answers
Bob had 50 pencils in the beginning.
How is a fractional number expressed?A fractional number is expressed in the form -
x/y {where y ≠ 0)
Given is that Bob gave four - fifths of his pencils to Barbara, then he gave two - thirds of the remaining pencils to bonnie.
Assume that he had {x} pencils in the beginning. We can write -
4x/5 + 2/3(x - 4x/5) = 10
4x/5 + 2x/3 - 8x/15 = 10
x(4/5 + 2/3 - 8/15) = 10
x = 10/0.93
x = 50
Therefore, Bob had 50 pencils in the beginning.
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{QUESTION IN ENGLISH -
Bob gave four fifths of his pencils to Barbara, then he gave two thirds of the remaining pencils to bonnie, if he ended up with 10 pencils for himself... how many pencils did bob have at the beginning?}
You borrow $20,000 to purchase a car. The interest rate is 7.5%. The loan is for 10 years. What is the total amount payed? How much would the payment be each month?
Answers
Answer:
$35,000
$291.67
Step-by-step explanation:
Assuming that this loan uses simple interest, the equation for this problem will be A=P(1+rt). In this formula: A is the total amount paid, P is the initial amount, r is the rate in decimal form, and t is the time in years.
First, set up the equation by plugging the known values into the formula.
A = 20,000(1+0.075*10)Next, uses this information to find A
A = 35000This means that the total amount paid was $35,000.
Next, find the monthly payments. Using the time in years, we can figure out that this loan was paid over 120 months. Additionally, the monthly payment was equal for each month. This means that to find the monthly payment, simply divide the total amount by the number of months.
35000/120 ≅ $291.67Each month, approximately $291.67 was paid.
Answer:
$28,488 repaid$237.40 monthlyStep-by-step explanation:
The monthly payment on a loan is given by the amortization formula. The total amount repaid is the product of the monthly payment and the number of payments made.
The amortization formula is ...
A = P(r/12)/(1 -(1 +r/12)^(-12t)) . . . . principal P, interest rate r, t years
For the loan values given here, this is ...
A = 20,000(0.075/12)/(1 -(1 +0.075/12)^(-12·10)) ≈ 237.40
The total repaid over 120 payments is ...
$237.40 × 120 = $28,488
The total amount paid is $28,488. The monthly payment is $237.40.
__
Additional comment
The payment and total paid can be computed using a suitable calculator, spreadsheet, or app. The attached picture is from an Android version of a TI-84 calculator. It comes with a built-in set of financial functions, similar to those found in a spreadsheet.
Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answers
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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Determine the number of solutions of this equation.
2(x-1)=3(x-4)
Infinitely many solutions
One solution
No solutions
Answers
Answer:
One solution.
Step-by-step explanation:
2(x-1)=3(x-4)
2x - 2 = 3x - 12
-2 + 12 = 3x - 2x
10 = x.
21 = 7 + 4f what is f
Answers
Answer:
f= 3.5
Step-by-step explanation:
Look at attachment for further explanation
Hope this helps (:
A cube has a volume of 125 cubic inches. What is the length of each edge?
Enter your answer in the box.
(Needs to be in inches)
Answers
The formula for the volume of a cube is V = a^3.
We know the volume is 125 cubic inches.
125 = a^3
Take the third square root
5 = a
The length of each edge is 5 inches
Answer:
So the length of the edge of a cube with a volume of 125 is 5 inches
Step-by-step explanation:
All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.
So if we take the edge of the cube to be of length x, then:
Volume=x3
125=x3
5=x
4x+5(7x-3)=9(x-5)
x=???
Answers
Answer:
i think its 3 im not sure
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
Given equation,
→ 4x + 5(7x - 3) = 9(x - 5)
Now the value of x will be,
→ 4x + 5(7x - 3) = 9(x - 5)
→ 4x + 35x - 15 = 9x - 45
→ 39x - 15 = 9x - 45
→ 39x - 9x = -45 + 15
→ 30x = -30
→ x = -30/30
→ [ x = -1 ]
Hence, the value of x is -1.
15
25
15
23
15
23
17
21
21
19
15
a.) The standard deviation is(round to two decimal places)
b.) The variance is(round to one decimal place)
c.) The range is
Answers
A reservoir in the shape of a right circular cylinder is to contain 79,200 L of water. If the radius of the cylinder is 3 m, find its height.
Answers
Please find attached herewith the solution of your question.
Answer: 2.8 m
Hope it helps.
If you have any query, feel free to ask.
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answers
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
2. A tractor has a depreciation rate of 19% per year. If the original price of the tractor was $29,000, what was the value of the tractor 5 years later?
Answers
19%; 100% - 19% = 81% = .81
29,000(.81)^5 = $10,111.67
BD bisects ABC if ABC=6x+58 find ABD
Answers
The measure of the angle ABD is (3x + 29)
What is Bisecting angles?Bisecting angles is the process of dividing an angle into two congruent angles. In geometry, an angle bisector is a line or ray that divides an angle into two equal parts.
When an angle is bisected, each of the two angles formed is called a half-angle or bisector angle, and the point where the angle is bisected is called the vertex of the angle.
Here we have
BD bisects ABC and ∠ABC = 6x+58
When a straight bisect an angle then the measure of the resultant 2 angles will be equal in measure
Here BD bisected ABC
The resultant angles will be ∠ABD and ∠DBC
Hence,
=> ∠ABC = ∠ABD + ∠DBC
=> ∠ABC = ∠ABD + ∠ABD [ Since two angles are equal
=> ∠ABC = 2∠ABD
From the given data,
=> 6x + 58 = 2∠ABD
=> 2 ∠ABD = 2(3x + 29)
=> ∠ABD = (3x + 29)
Therefore,
The measure of the angle ABD is (3x + 29)
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18624 to the nearest thousand
Answers
Answer:
18624 to nearest 1000= 19000
hope this helps <3
Answer:
19000
Step-by-step explanation:
624 is more than 499 therefore it is 19000
The odds in favor of a horse winning a race are posted as 5 : 2. Find the probability that the horse will lose the race.
Answers
Answer:
I think the ratio would be 2/7.
Step-by-step explanation:
Starting from an airport, an airplane flies 210 miles southeast and then 210 miles south. How far, in miles, from the airport is the plane? (Round your answer to the nearest mile.)
Answers
Answer:
The plane is 388 miles far from the airport.
Step-by-step explanation:
We know that, the angle between southeast and south directions is \(135^\circ\).
The plane travels as per the triangle as shown in the attached image.
A is the location of airport.
First it travels for 210 miles southeast from A to B and then 210 miles south from B to C.
\(\angle ABC = 135^\circ\)
To find:
Side AC = ?
Solution:
As we can see, the \(\triangle ABC\) is an isosceles triangle with sides AB = BC = 210 miles.
So, we can say that the angles opposite to the equal angles in a triangle are also equal. \(\angle A = \angle C\)
And sum of all three angles of a triangle is equal to \(180^\circ\).
\(\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow \angle A+135^\circ+\angle A = 180^\circ\\\Rightarrow \angle A = \dfrac{1}{2} \times 45^\circ\\\Rightarrow \angle A =22.5^\circ\)
Now, we can use Sine Rule:
\(\dfrac{a}{sinA} = \dfrac{b}{sinB}\)
a, b are the sides opposite to the angles \(\angle A and \angle B\) respectively.
\(\dfrac{210}{sin22.5^\circ} = \dfrac{b}{sin135^\circ}\\\Rightarrow \dfrac{210}{sin22.5^\circ} = \dfrac{b}{cos45^\circ}\\\Rightarrow b = 210\times \dfrac{1}{\sqrt2 \times 0.3826}\\\Rightarrow b = 210\times \dfrac{1}{0.54}\\\Rightarrow b \approx 388\ miles\)
So, the answer is:
The plane is 388 miles far from the airport.
Cara salary was increased from £28 250 to £29 832 work out the percentage increase in car salary
Answers
U do a Proportion
29832/28250=x/100
Then u just solve for x :D
8 in.
4 in.
10 in.
1
The area of the trapezoid is
square inches
Answers
Answer:
71
Step-by-step explanation:
i just want to ask a question sorry for not being helpful
During a snowstorm, Gabriel tracked the amount of snow on the ground. When the storm began, there were 2 inches of snow on the ground. For the first 2 hours of the storm, snow fell at a constant rate of 1 inch per hour. The storm then stopped for 4 hours and then started again at a constant rate of 2 inches per hour for the next 3 hours. Make a graph showing the inches of snow on the ground over time using the data that Gabriel collected
Answers
2+2=4
4+3=5
So A for the graphs
Poster is 3 inches long , it is four times wide as it is long
Answers
Step-by-step explanation:
if it is three inches long do 4x3 which is 12 inches
Jackson is given the expression below to simplify.
9x - 4 + 4x + 5x + 19
Which expression is equivalent to Jackson's expression?
0 3(6x + 5)
0 18x + 23
05(x + 2)
0 14x + 19
Answers
Answer:
it should be 3(6x+5)
Step-by-step explanation:
3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19 so option (A) will be correct.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
9x - 4 + 4x + 5x + 19
By adding variables and constants individually
(9x + 4x + 5x) + (-4 + 19)
⇒ 18x + 15
Taking common 3
⇒ 3(6x + 5)
Hence "3(6x + 5) will be equivalent expression of 9x - 4 + 4x + 5x + 19".
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Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
a.
The interest rate should be ignored, because there’s nothing a consumer can do to change it.
b.
The interest rate is essentially how long you have to pay off your loan, and the shorter the better.
c.
The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.
d.
The interest rate does not change, even between banks, so choosing the right time to borrow is essential.
Answers
Answer:
C
Step-by-step explanation:
trust me c is the correct answer
what is the period of the sinusoidal function
Answers
Answer:
The period of the sine curve is the length of one cycle of the curve. The natural period of the sine curve is 2π. So, a coefficient of b=1 is equivalent to a period of 2π. To get the period of the sine curve for any coefficient b, just divide 2π by the coefficient b to get the new period of the curve.
Step-by-step explanation: