The second box is less expensive to make since it has a smaller surface area and hence requires less wood to construct the sides.
What is a cuboid?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Here some data is not given, so we are assuming the volume of the box is 24 cubic feet.
If the volume is 24 cubic feet, the box's three dimensions must multiply to equal 24.
We can make two designs:
2 × 2 × 6 and 2 × 3 × 4.
Now, finding the surface area for each design.
First box
SA = 2wl + 2wh + 2hl
SA = 2×2×2 + 2×2×6 + 2×2×6
SA = 56 square feet
Second box
SA = 2×2×3 + 2×2×4 + 2×3×4
SA = 52 square feet
At $4 per square foot
For 56 ft², the price is $224
For 52 ft², the price is $208
Thus, the second box is less expensive to make since it has a smaller surface area and hence requires less wood to construct the sides.
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Suppose you are a lawyer representing a Hispanic individual in a criminal trial. Twelve jurors are randomly selected by the state from a population that you know to be 40% Hispanic.
a. How many jurors would you expect to be Hispanic?
b. The select process produces a jury with 3 Hispanic individuals What proportion of the jury is Hispanic? (Enter your answer as a decimal, rounded to four decimal places)
c. Use the binomial distribution and find the probability that 3 or fewer jurors would be Hispanic.
Using the binomial distribution, it is found that the desired values are given as follows:
a) 4.8 jurors.
b) The proportion is of 0.25.
c) 0.2254 = 22.54% probability.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem, we have that:
Twelve jurors are randomly selected by the state, hence n = 12.The state is known to be 40% Hispanic, hence p = 0.4.Item a:
The expected value of the binomial distribution is given by:
E(X) = np
Hence:
E(X) = 12 x 0.4 = 4.8 jurors.
Item b:
The proportion of 3 out of 12 is 3/12 = 1/4 = 0.25.
Item c:
The probability is given by:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{12,0}.(0.4)^{0}.(0.6)^{12} = 0.0022[/tex]
[tex]P(X = 1) = C_{12,1}.(0.4)^{1}.(0.6)^{11} = 0.0174[/tex]
[tex]P(X = 2) = C_{12,2}.(0.4)^{2}.(0.6)^{10} = 0.0639[/tex]
[tex]P(X = 3) = C_{12,3}.(0.4)^{3}.(0.6)^{9} = 0.1419[/tex]
Then:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0022 + 0.0174 + 0.0639 + 0.1419 = 0.2254[/tex]
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What is the end behavior of the graph?
Answer:
As [tex]x[/tex] approaches infinity [tex]f(x)[/tex] approaches negative infinity.
Step-by-step explanation:
As you can see in the graph as [tex]x[/tex] grows larger in the negative direction, the [tex]y[/tex] increases in the negative direction too.
Thus:
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
is -5 < 3 ? plsss and tyyyyyy
Answer:
-5 is in the negatives, and 3 is positive, therefore greater than -5 three is greater than -5
Find the distance points
Answer:
8/5x
Step-by-step explanation:
it's (-4,-4) and (1,4) so you subtract the y's getting 8. then you subtract the x's getting 5. y/x is the rule so you would get 8/5 or 8/5x as the slope/distance between points.
Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
12 ? (7-4) + 5 ? 3 = 19
you can choose + − × ÷
Answer: 12 ÷ (7-4) + 5 × 3 = 19
Step-by-step explanation:
Answer:
12 ÷ (7-4) + 5 × 3 = 19
Step-by-step explanation:
A 2-yard piece of twine costs $20.94. What is the price per foot?
Answer:
$3.49
Step-by-step explanation:
If 1 yard = 3 foot
then A 2-yard piece of twine = 6-foot piece of twine.
20.94 per foot is 3.49
as 20.94/3.49.
thus the price per foot is $3.49
drag each tile to the type of interest rate it describes
nominal interest rate
Real Interest Rate
the stated interest rate on an
considers Inflation
does not consider Inflation
reveals purchasing power
account
reflects the actual monetary
can be negative
Answer:
Nominal Interest Rate: Does not consider inflation provides a sense of purchasing power
Real Interest Rate: It describes the stated interest rate on an account and also considers inflation
Step-by-step explanation:
Real interest rate can be defined as the Nominal interest rate minus the inflation rate.
Nominal Interest Rate is the interest rate without taking into account the inflation
Answer:
NOMINAL INTEREST RATE:
1. The stated interest rate on an account.
2. Does not consider inflation.
3. Reflects the actual monetary amount earned
amount earned
REAL INTEREST RATE :
1. Considers inflation.
2. Reveals purchasing power.
3. Can be negative
Step-by-step explanation:
I literally just took this quiz and got them all correct.
what are the solutions of the equation f(x)=g(x)
0
1
2
3
4
Answer:
(1, 0 ) and (3, 6 )
Step-by-step explanation:
we are looking in the table for values of x that give both f(x) and g(x) the same value.
x = 1 → f(x) = g(x) = 0
x = 3 → f(x) = g(x) = 6
then the solutions to f(x) = g(x) are
(1, 0 ) and (3, 6 )
Answer:
1
3
Step-by-step explanation:
According to the table :
f(1) = 0 = g(1) ⇒ 1 is a solution to the equation f(x) = g(x)
f(3) = 6 = g(3) ⇒ 3 is a solution to the equation f(x) = g(x)
What is the approximate volume of the cylinder? Use 3.14 for T.
5 in.
16 in.
A. 126 in.
B. 153.86 in.
C. 1,256 in.
D. 7,121.52 in.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,
Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³
Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
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Daniel’s spinner is divided into 8 equal sections. A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue. He plans to spin it 80 times. Which equation predicts the number of times that he could spin green? P (green) = StartFraction 1 over 8 EndFraction (80) P (green) = StartFraction 2 over 8 EndFraction (80) P (green) = StartFraction 3 over 8 EndFraction (80) P (green) = one-half (80)
We expect to get the color green 10 times out of the 80.
How many times we expect to get the color green?
The spinner is divided into 8 equal colors, so we can assume that each one of the 8 colors has the same probability of being spun.
This means that if we spin the spinner, the probability of getting the color green is p = 1/8.
So, in 80 tries, we will expect to get the color green a total of:
N = (1/8)*80 = 10
We expect to get the color green 10 times out of the 80.
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Answer:
The correct answer is P(green)=2/8 (80)
Step-by-step explanation:
Daniel’s spinner is divided into 8 equal sections.
A spinner divided into 8 equal sections labeled gray, green, red, purple, gray, green, yellow, blue.
As you can see there are 2 greens so it would be 2/8 since there are 8 pieces and 2 greens out of those 8.
HOPE THIS HELPS!
(I also did this on edge and got it correct)
Question 13 of 25
True or false? The graph represents a function
Answer:
B. False
Step-by-step explanation:
This graph is not a function. The graph fails the Vertical Line Test.
Find the value of x.
Answer:
56
Step-by-step explanation:
We know that every triangle no matter will equal 180 degrees. So we will make an algebreic expression.
2x+8+60=180
When doing algebreic expression we want to simply as much as possible to find our answer. First we will do 60-180. Since the expression is adding 60 we want to do the opposite and subtract is by 60 on both sides. SO now we have 2x+8=120. We do the same thing with 8. Subtract it on both sides since its adding in the expression. Now we have 2x=112. FInally, we will divide by two on both sides since its multiplying on the other side of the equation. So now we are left with x=56.
NO LINKS!!! Please help me with this match
Step-by-step explanation:
Corresponding angles of similar figures are congruent.
Angles with vertex of same order number are corresponding.
m∠U = m∠C = 97°m∠V = m∠D = 124°m∠T =m∠B = 102°Answer:
m∠U =97°
m∠V = 124°
m∠T = 102°
Step-by-step explanation:
As TUVWX ~ BCDEF then the corresponding interior angles are the same.
Therefore:
m∠T = m∠B = 102°
m∠U = m∠C = 97°
m∠V = m∠D = 124°
m∠W = m∠E = 101°
m∠X = m∠F = 116°
-2x - 3y = -7
y = 6x - 11
O (4,3)
• (2,1)
O (1,2)
O (2,3
Answer:
[tex]B.(2,1)[/tex]
Step-by-step explanation:
f(x)=(x−6) 2 −12.25 What are the zeros of the function? What is the vertex of the parabola?
Answer: Zeroes: 2.5 and 9.5 Vertex: (6, 12.25)
Step-by-step explanation:
:) Done on khan
Find the slope pls help
Answer:
1. Slope = 1
2. Slope = 3
3. Slope = -2
4. Slope = 2
Step-by-step explanation:
Okay so when we are finding the slope of two points we use the slope formula
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
1. A home remodeling company charges a $50 consultation fee plus $150 per hour for labor.
[CG 3.0 F.IF-DOK3]
(a) Write an equation to represent the total cost of a job that takes "x" hours. (3points)
(b) How much would it cost if it takes 40 hours to complete a job? (3points)
(©) If you have $5000 to pay for the work, would it be enough for a job that takes 40
hours? Explain or show your reasoning. (2points)
(d) Would you describe this situation as linear or exponential? Explain why you think so.
(2 points)
Can someone please help me
An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the cost of consulting is $50, while the cost of labour is $150 per hour.
A.) An equation to represent the total cost of a job that takes "x" hours.
Total cost = $50 + ($150 × x)
B.) Total cost is the labour works for 40 hours,
Total cost = $50 + ($150 × 40) = $6,050
C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.
D.) The situation can be described as linear.
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What are the zeros of the function defined by the polynomial
x^2+7x+12
solve by inspection
[tex]x^2+7x+12\\\\(x+4)(x+3)[/tex]
[tex]x+4=0\\\\x=-4[/tex]
[tex]x+3=0\\\\x=-3[/tex]
The zeros of the function are -4 and -3.
30
Evaluate the expression for x = 4 and y = 5.
61x² - y) - 7
A. 8
B.
41
C. 47
D.
56
Reset
Answer:
=41
Step-by-step explanation:
X = 4 and y =5
6( [tex]4^{2} - 5[/tex]) - [tex]5^{2}[/tex]
= 6 (16-5) -25
= 6 (11)-25
= 66 -25
=41
PLEASE ANSWER, HELP MEEE
Answer:
your answer is 30 ..
hope this will help you!!
To find the surface area of a rectangular prism, we can use the following formula:
[tex]SA=2(lw+lh+wh)[/tex]
l = lengthw = widthh = heightSolving the QuestionWe're given:
l = 4 yardsw = 1 yardh = 3 yardsPlug the given measurements into the formula for surface area:
[tex]SA=2(lw+lh+wh)\\SA=2[(4)(1)+(4)(3)+(1)(3)]\\SA=2(4+12+3)\\SA=2(19)\\SA=38[/tex]
Therefore, the surface area of the rectangular prism is 38 yd².
Answer38 square yards
HELP PLEASE!! ASAP, Find the surface area of the sphere. Round your answer to the nearest hundredth.
Answer:
201.06
Step-by-step explanation:
A=4πr2 is the equation (r being radius)
4·π·(4)2≈201.06193
ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.
Answer:
NO
Step-by-step explanation:
They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.
what number has an opposite of 18 and an absolute value of 18
Answer:
-18
Step-by-step explanation:
By opposite, I believe this is talking about the sign. Note that taking an absolute value of a number always results in a positive number.
|-18| = 18
Answer:
-18, 18
Step-by-step explanation:
Opposite means negative becomes positive, and positive becomes negative. Absolute value is distance from zero. It is 18 away from zero. Opposite of 18 is -18.
please help please i will give brainliest
Answer:
D. 1/4
since it is a vertical line x is always 1/4
Select the correct answer from the drop-down menu.
What is the surface area for each part of the figure?
The surface area of the pyramid is (96, 60, 48) square feet.
The surface area of the square prism is (480, 552) square feet.
The surface area of the cube is (180, 216) square feet.
The total surface area is (816, 700, 688, 756) square feet.
The surface area of the pyramid is 96 ft²
The surface area of the square base prism is 552 ft²
The surface area of the cube is 216 ft²
The total surface area is 756 ft²
How to find surface area?The surface area of the pyramid = A + 1/2 ps
where
A = base areap = perimeters = slant heightTherefore,
A = 6² = 36 ft²
p = 4(6) = 24 ft
s = √3² + 4² = √9 + 16 = √25 = 5 ft
Hence,
The surface area of the pyramid = 36 + 1 / 2 × 24 × 5 = 96 ft²
The surface area of the square base prism = 2a² + 4ah
where
a = side of the square baseh = heightTherefore,
The surface area of the square base prism = 2(6)² + 4(6)(20) = 72 + 480 = 552 ft²
The surface area of the cube = 6l² = 6 × 6² = 6 × 36 = 216 ft²
Total surface area = 96 + 552 + 216 = 864 - 36 - 36 - 36 = 756 ft²
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Answer: 1 . Is 96 square feet
2 . is 552 square feet
3 . 216 square feet
4 . 756 square feet
Step-by-step explanation:
What is the area of the shaded region of the figure?
Answer:
B, 25.9 pi
Step-by-step explanation:
360 - 170 = 190
r= 7
pi 7^2 = 49 pi
49/2 = 24.5 pi
24.5 + 1.4 = 25.9 pi
the temperature in mayfield at 6pm was 5 degrees fahrenheit. by 11pm the temperature dropped 9 degrees. enter the temp in degrees fahrenheit at 11pm
Answer: the answer is - 4
Step-by-step explanation:
Ok so it decrased by 9 degrees so what you do is 5 - 9 which would be negative four. -4
Answer:
-4°F
Step-by-step explanation:
Starting temp minus amount dropped gives ending temp.
5 - 9 = -4
What is the range of this set of numbers?
8,4,5, 0, 6, 2, 6, 10, 6,3
O A. 6
B. 5
O C. 10
O D. 9
Answer:
B. 5
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.
example, 2,10,21,23,23,38,38
38 - 2 = 36
Answer:
B. 5
Step-by-step explanation:
All you have to do is subtract the highest number by the smallest number so i just had to do:
8-3=5
Which of the following is a polygon?
A shape can only be classified as a polygon if:
(1) There must be no curves in the shape.(2) The shape is not opened. It has to be closed.(3) The sides of the shape must not intersect each other.Option A
We can see that the figure is opened. Therefore, the shape is not a polygon. According to (2), to classify a shape, a polygon, the shape must not be opened.
Therefore, this shape is not a polygon.
Option B
This shape is a polygon because it has no curves, it is not opened, and the sides of the shape are not forming an intersection.
Therefore, this shape is a polygon.
Option C
This figure has a side length intersecting another side length. Therefore, this figure is not a polygon. According to (3), to classify a shape, a polygon, the sides of the shape must not intersect each other.
Therefore, this shape is not a polygon.
Option D
This figure is not a polygon because a side length of the figure is curved. According to (1), To classify a shape, a polygon, there must be no curves in the shape.
Therefore, this shape is not a polygon.
Hence, Option B is correct.
FIND THE EXACT AREA OF THE SHADED
PLEASE HELP ILL GIVE BRAINLIESTTTTTT
