[tex]\begin{array}{|c|c|} \cline{1-2}\text{Class} & \text{Frequency}\\\cline{1-2}20-29 & 5\\\cline{1-2}30-39 & 12\\\cline{1-2}40-49 & 9\\\cline{1-2}50-59 & 6\\\cline{1-2}60-69 & 3\\\cline{1-2}\end{array}[/tex]
=====================================================
Explanation:
The given data set is
{37, 60, 35, 38, 59, 34, 56, 42, 55, 48, 39, 33, 36, 35, 43, 52, 39, 64, 41, 35, 20, 31, 29, 45, 32, 54, 66, 44, 47, 45, 27, 24, 48, 28, 55}
It sorts to
{20, 24, 27, 28, 29, 31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39, 41, 42, 43, 44, 45, 45, 47, 48, 48, 52, 54, 55, 55, 56, 59, 60, 64, 66}
The five values 20,24,27,28,29 are between 20 and 29. This means the first class or bin will have a frequency of 5.
The next interval spans from 30 to 39. There are 12 items in this interval, and those 12 items are this subset {31, 32, 33, 34, 35, 35, 35, 36, 37, 38, 39, 39}. This means we have a frequency of 12 for the interval from 30 to 39.
Keep this process going until you get to the end of the data set.
Eginning at 15,000 feet, a commercial jetliner begins climbing at a rate (in feet per minute) given by f(t)=e0.4t+8 f ( t ) = e 0.4 t + 8 with 0≤t≤20 0 ≤ t ≤ 20 where t t is the time in minutes since the aircraft began climbing. Use the Net Change Theorem to determine the aircraft's elevation after climbing for 15 15 minutes. Round the answer to the nearest foot.
Answer:
16,126 ft
Step-by-step explanation:
Using the net change theorem and letting s(t) represent the aircraft's position, and s(0) be the aircraft's position at time t = 0, s(0) = 15000 ft and s(15 be the aircraft's position at time, t = 15 minutes respectively, then,
s(15) - s(0) = ∫₀¹⁵f(t)dt
s(15) - s(0) = ∫₀¹⁵[[tex]e^{0.4t} + 8[/tex]]dt
s(15) - 15000 = [[tex]\frac{e^{0.4t}}{0.4} + 8t[/tex]]₀¹⁵
s(15) - 15,000 ft = [tex]\frac{e^{0.4X15}}{0.4} + 8X15 - \frac{e^{0.4 X 0}}{0.4} + 8(0)\\\frac{e^{6}}{0.4} + 120 - \frac{e^{0}}{0.4} + 0\\\frac{403.43}{0.4} + 120 - \frac{1}{0.4} + 0\\1008.57 + 120 - 2.5\\1126.07[/tex]
s(15) = 15,000 ft + 1126.07 ft
s(15) = 16,126.07 ft
s(15) ≅ 16,126 ft to the nearest foot
what is 28=-k+16-2k-9
Answer:
k = -7
Step-by-step explanation:
Let's put the side with the variables on the left.
-k+16-2k-9=28
Now we need to isolate the variable, which is k in this case.
>> Isolating the variable <<Step 1: Simplify as much as you can.-k+16-2k-9=28
-k-2k+16-9=28
-3k+7=28
Step 2: Subtract 6 from both sides(-3k+5) -7 = 28 -7
-3k = 21
Step 3: divide both sides by -3k = -21/3
That's your answer:
k = -7
Which expression is equivalent to (-3) × (-3)²?
Answer:
[tex] \sf \: (-3) × {( - 3)}^{2} = - 27[/tex]
Step-by-step explanation:
Given expression,
→ (-3) × (-3)²
Let's simplify the expression,
→ (-3) × (-3)²
→ (-3) × ((-3) × (-3))
→ (-3) × 9
→ (-3 × 9) = -27
Hence, the answer is -27.
Ben Nevis has a height of approximately 1300 metres above sea level.
Assuming that temperature decreases by 1°C for every 100 metres above
sea level, work out the temperature at the summit of Ben Nevis when the
sea level temperature is 5°C.
The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.
To work out the temperature at the summit of Ben Nevis, we can use the formula:
Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres
We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.
So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C
Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C
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How can you differentiate best time worst time and average time of an algorithm?
You can differentiate best time, worst time and average time of an algorithm like this:
Best time = fastest completion time with optimal inputs.
Worst time = slowest completion time, with pessimistic inputs.
Average time = arithmetic mean
What is Average case?The average-case complexity of an algorithm is the amount of a computational resource (typically time) used by the algorithm, averaged over all potential inputs, according to computational complexity theory. The worst-case complexity, which takes into account the algorithm's maximum complexity given all potential inputs, is frequently contrasted with it.
There are three main reasons to investigate average-case complexity. First off, while some problems may be insurmountable in the worst case, the inputs that cause this behaviour may only occasionally occur in practise, so the average-case complexity may be a better indicator of an algorithm's performance.
Second, tools and techniques to create challenging problems are provided by average-case complexity analysis. These tools and techniques can be used in fields like derandomization and cryptography.
Third, average-case complexity enables the most effective algorithm in practise to be distinguished from algorithms with equivalent best case complexity.
What is average case complexity
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Steve wants to open a savings account. Bank A will increase the interest rate on the savings account by
1/5% after the first year he is a customer. Bank B offers an interest rate increase of 0.25% after the first year he is a customer. Which bank has the higher interest rate increase? Explain how you were able to compare the rates. i need help asap please help
Answer:
Bank A
Step-by-step explanation:
Get them wrong then push try agian and remember it hope it helps?
thats my trick sometimes!
What did Tumnus want to know about Lucy right away? What did we later find out was his motivation?
[tex]{x}^{2} + x - 2[/tex]
solve this with first X last method
Answer:
[tex]x=-2,1[/tex]
Step-by-step explanation:
[tex]x^2+x-2=0\\(x+2)(x-1)=0\\x_1=-2,x_2=1[/tex]
Find the value of the expression below for r= 4 and t = 2.
2-r+20=r
09
072
06
040
Answer: 8-4+5
Step-by-step explanation: Best I could do
(Ignore the kitty) plz help
Answer:
subtraction because 10 - 2 = 8
Step-by-step explanation:
oml i used to have that cat btw and then my school blocked it </3
Use the Distributive Property to simplify the expression 9(2n+1)
Answer:
18n+9
Step-by-step explanation:
9 times 2n is 18n.
9 times 1 is 9.
There's your answer.
Answer:
[tex]\huge\boxed{\bold{18n+9}}[/tex]
Step-by-step explanation:
Hi there!
Let's simplify this expression!
All we should do is "distribute" 9:
[tex]\bold{9(2n+1)}[/tex]
[tex]\bold{18n+9}[/tex]
Hope it helps!
[tex]\rm{Have~A~nice~day![/tex]
~Just a teenage girl willing to help
[tex]\bold{Besties4Ever}[/tex]
HELPPPPPP PLEASEeeeeeeeeeeeeee
Answer:
-1, 0, 4
Step-by-step explanation:
2f - 8 ≤ 6f + 4
-4f ≤ 12
f ≥ 12/-4 **flip the inequality when you divide by a negative number
f≥ -3
Check all the answers that are ≥ -3
after a party there are parts of three pizzas remaining. there is 3/4 of a pepperoni pizza remaining 5/8 of a cheese pizza remaining and 11/12 of a sausage pizza remaining. the 5 friends who organized the party split the remaining pizza equally. What fraction of a whole pizza does each person get?
Adding all of the remaining pizzas, and dividing the total pizza into 5 equal fractions, the fraction of pizza that each person gets would be 11/24
What is a mixed number and how is it different from an improper fraction?A mixed number is a combination of a whole number and a fraction. For example, 3 1/2 is a mixed number. It is different from an improper fraction, which is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.
How do you convert a mixed number to an improper fraction?To convert a mixed number to an improper fraction, you must first multiply the whole number by the denominator of the fraction. Then add the result to the numerator. Finally, place the sum over the denominator. For example, to convert 3 1/2 to an improper fraction, you would first multiply 3 by 2 (the denominator of the fraction 1/2) to get 6, then add 1 (the numerator of the fraction 1/2) to get 7. So 3 1/2 is equivalent to 7/2 as an improper fraction.
So to find out the fraction of a whole pizza that each person gets out of the different remaining pizzas, first we need to all the remaining pizzas as shown below,
3/4 of pepperoni + 5/8 of cheese + 11/12 of sausage = 55/24
Now to equally divide this into 5 person, we need to divide this fraction by 5,
i.e 55/(24*5) = 11/24
Therefore, each person gets 11/24 of the whole pizza.
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WILL GIVE BRAINLY 50 PTS
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A.
It is the graph of f(x) translated 11 units to the left.
B.
It is the graph of f(x) where the slope is increased by 11.
C.
It is the graph of f(x) translated 11 units to the right.
D.
It is the graph of f(x) translated 11 units up.
Answer:
It's A 100% I got it right!!
Step-by-step explanation:
Which graph represents the solution to the inequality 3 < 2- x/3 <7/2
Answer:
C
Step-by-step explanation:
work out the size of angle x
Answer:
[tex]13^{\circ}[/tex]
Step-by-step explanation:
Consider the smaller of the two triangles with angle [tex]x[/tex].
Using vertically opposite angles, one of the angles of this triangle is [tex]85^{\circ}[/tex].
Using corresponding angles combined with angles on a straight line, one of the angles is [tex]82^{\circ}[/tex].
Angles in a triangle add to [tex]180^{\circ}[/tex], so [tex]x=13[/tex].
The diameters of the top and bottom of a frustum of a cone are 6cm and
15cm respectively. If the height of the frustum is 30cm, calculate (i) the
curved surface area (ii) the volume of the frustum.
Curved surface area of frustum is 1000.82 cm² and
Volume of frustum is 2756.754 cm³.
What is a conical frustum?Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum.
Frustum is a Latin word which means ‘piece cut off’. When a solid (generally a cone or a pyramid) is cut in such a manner that base of the solid and the plane cutting the solid are parallel to each other, part of solid which remains between the parallel cutting plane and the base is known as frustum of that solid.
Height of frustum = h = 30 cm
Diameter of top of frustum = 6 cm
Radius of top = R = 6/2 = 3cm
Diameter of bottom of frustum = 15 cm
Radius of bottom = r = 15/2 = 7.5 cm
Slant Height = l = √h²+ (r - R)²
⇒ l = √30² + (7.5 - 3)²
⇒ l = √900 + 20.25 = √920.25 = 30.34 cm
A) Curved surface area of frustum = π(r + R)l
= 3.1416 × (7.5+3) × 30.34
= 3.1416 × (10.5) × 30.34
Curved surface area of frustum = 1000.82 cm²
B) Volume of frustum = (πh/3)(r²+R²+r.R)
= (3.1416 × 30/3)(7.5² + 3² + 7.5×3)
= (31.416) × (56.25 + 9 + 22.5)
= 31.416 × 87.75
Volume of frustum = 2756.754 cm³
Hence, the curved surface area and volume of given conical frustum are 1000.82 cm² and 2756.754 cm³ respectively.
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HELP DUE IN 15 MINS!
Assume that any lines that appear to be tangent are tangent.
x=??
Answer:
x = 156
Step-by-step explanation:
Yes. The comment was correct.
The central angle and the Arc measurement are the same amount (in degrees)
So The entire circle is 360 degrees.
Answer = 360 - the two central angles.
Answer = 360 - 65 - 139
Answer = 360 - 204
Answer = 156
Need help with school
Answer:
x=6°
Step-by-step explanation:
The value of x is 6°.
What are 3 completed examples for functions?
HEEEEELLLLPPPPPPPPPP!!!!!!!!!
Answer:
The answer is A
Step-by-step explanation:
A rectangular patio has a volume of 360 cubic feet. If the width is 8 feet and the length is 15 feet, what is the height of the patio stones?
Answer:
3 feet
Step-by-step explanation:
Volume of a rectangular object = length x width x height
360 = 8 x 15 x height
360 = 120 x height
height = 360 / 120
height = 3ft
I don't know how to do these
Answer:
1. Below 2. B. d = 8h
Step-by-step explanation:
The graph is a bit confusing. But basically, substitute x for the numbers they give you.
5x
5 · 1 = 5 = y
5 · 2 = 10 = y
5 · 3 = 15 = y
5 · 4 = 20 = y
7x
7 · 1 = 7 = y
7 · 2 = 14 = y
7 · 3 = 21 = y
7 · 4 = 28 = y
Answer:
okay just follow everything under here!
Step-by-step explanation:
so y = 5x right? so on the chart, it goes from 1-4. x is those numbers. so in the second column, you see 5x. so you would multiply 5 x __ whatever the number is. so this would be column 2.
5x1
5x2
5x3
5x4
and then the second column is 5, 10, 15, 20
then you do the same thing with the second one.
7x1
7x2
7x3
7x4
then Y would be 7, 14, 21, 28
then number 3, it would be B. 8h = d
8 x h (hours) = 8h which would = d (amount made)
i hope this helped! good luck!
In order to visit the Museum of Mathematics, Ascend requires `2` chaperons for every `5` students. If the school has `210` people going in total, how many students are going to the Museum?
Answer:
150
Step-by-step explanation
How do you find the sides of a 45 45 90 triangle when given the hypotenuse?
The value of the legs of the triangle would be hypotenuse/√2 and trignometric angle are 45 degree
You can use basic trigonometry to solve this problem. We know that the sine of the angle made by the hypotenuse and the base is equal to the ratio of perpendicular height and the hypotenuse, given that the angle is 45° the perpendicular will be equal to ⇒ hypotenuse × sin(45°).
That is perpendicular=hypotenuse/√2
Similarly, the cosine of the angle made by the hypotenuse and the base is equal to the ratio of base length and the hypotenuse, given that the angle is 45° the base will be equal to ⇒ hypotenuse × cos(45°)
That is base=hypotenuse/√2
Therefore, the value of the legs of the 45°-45°-90° triangle would be hypotenuse/√2.
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SOMEBODY PLEASE GIVE ME THE ANSWERS! I AM GIVING AWAY A LOT OF POINTS!
Answer:
nice to see you again
Step-by-step explanation:
14.) 20
15) 16
16) true
Answer:
20, 16, true
Step-by-step explanation:
The input is the number of rides, or the x-coordinate. The output is the dollars remaining on card, or the y-coordinate. We know this because the number of rides dictates how much money is on the card.
14. The question is asking for the output when the input is ten. Thus, we need to find the y-coordinate on the line when the x-coordinate is 10. We see that (10,20) is on the line, so then our output (or y-coordinate) is 20.
15. The question is asking for the input when the output is five. Thus, we need to find the x-coordinate on the line when the y-coordinate is 5. We see that (16,5) is on the line, so then our input (or x-coordinate) is 16.
16. 7 rides is the x-coordinate, and 27.50 is the cost, or the y-coordinate. However, this is true because even though the y-coordinate is NOT the cost of the rides, but the amount of money remaining on the card AFTER the rides are cashed in, 27.50 is half of 45 dollars, so then if 27.50 is spent on the rides, there will still be 27.50 left over on the card. Thus, it is true.
Need help with math triangle question in image. Thank you
Please Help!
I need this for an important Test
You will be deeply appreciated
Find the area of the polygon.
6 cm
20 cm
30 cm
5 cm
40 cm
The area of the polygon is
Y
Answer:
820 [tex]m^{2}[/tex]
Step-by-step explanation:
A passenger elevator in the Sears Tower in Chicago can lift people 960 feet in 1 minute and 30 seconds. How fast must the freight elevator be traveling if it lifts cargo the same height but in 2 minutes and 30 seconds? [
D=rt
D=rt
]
Pilihan jawaban
6.4 feet per second
10.7 feet per second
19.2 feet per second
38.4 feet per second
If the freight elevator lifts goods the same height in 2 minutes and 30 seconds, it will travel at a pace of 6.4 feet per second.
What is speed?Speed is the pace at which an item moves along a route in time, whereas velocity is the rate and direction of movement. In other words, velocity is a vector, whereas speed is a scalar number. The sign for speed is v (italic), whereas the symbol for velocity is v. (boldface). A bar is placed over the symbol to represent average values. Speed is defined as the rate at which distance changes over time. It has a distance by time dimension. Thus, the SI unit of speed is defined as a combination of the fundamental units of distance and time. As a result, the SI unit of speed is the metre per second.
Here,
Given that a passenger elevator in the sears tower in Chicago can lift people 960 feet in 1 minute and 30 seconds (1.5 minutes). This means that the lift is travelling with a speed of:
=960/1.5
=640 ft/min
If the elevator lifts cargo through the same height in 2 minutes and 30 seconds (2.5 minutes), then the speed is given by:
=640/2.5
=384 ft/min
=384/60
=6.4 ft/second
The freight elevator be traveling at the speed of 6.4 ft/second if it lifts cargo the same height but in 2 minutes and 30 seconds.
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