Answer:
2010 cu ft to the nearest whole number.
Step-by-step explanation:
Volume = π r^2 h
= 3.14 * 4^3 * 10
= 2009.6
The volume of the water tank is approximately 502 cubic feet.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
The volume V of a cylinder can be calculated using the formula V = πr²h, where r is the radius of the base and h is the height.
Substituting the given values, we get:
V = π (4 ft)² (10 ft)
V = 3.14 (16 ft²) (10 ft)
V = 502.4 ft³
Rounding this answer to the nearest whole number gives a final answer of V = 502 ft^3.
Therefore,
The volume of the water tank is approximately 502 cubic feet.
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Ms. Lang lives in Lansing, Michigan. Last year, she made 4 round trips to Chicago, Illinois (a distance of 218 miles each way) and 6 round trips to Louisville, Kentucky (a distance of 364 miles each way). How many more miles did she travel in her trips to Louisville than in her trips to Chicago?
Answer:
1312 miles
Step-by-step explanation:
To solve this, we simply need to subtract the distance she traveled in her trips to Chicago from the distance she traveled in her trips to Louisville.
She made 4 round trips to Chicago, Illinois. Each of the trips is a distance of 218 miles. This means that the total distance she traveled is:
4 * 218 = 872 miles
She made 6 round trips to Louisville, Kentucky/ Each of the trips is a distance of 364 miles. This means that the total distance she traveled is:
6 * 364 = 2184 miles
Therefore, the difference between the distances she traveled is:
2184 - 872 = 1312 miles
She traveled 1312 miles more in her trips to Louisville than in her trips to Chicago.
Dan and Stephen are playing basketball. The ratio of points scored by Dan to Stephen is 4 to 3. Which of the following could NOT be the total number of points scored between the two?
My sister baked me a cake. We bought a litre of milk and went to town - we almost ate the whole cake! In the end my sister and I ate 5/7 of the cake. If the remainder of the cake was divided among three other friends (not including me and my sister) how much would each friend receive?
Answer:
2/21
Step-by-step explanation:
2/7 ÷3
sorry if wrong
2/7 * 1/3
2/21
Answer:
2/21 per friend
Step-by-step explanation:
A whole cake is 1 or as a fraction 7/7
5/7 of the cake was eaten
7/7 - 5/7 = 2/7
This was divided by 3 friends
2/7 ÷3
Copy dot flip
2/7 * 1/3
2/21
Can somebody help me?
Answer:
35/98
Step-by-step explanation:
Can you please help me with this question please and i will give you a Brainiest
Answer:
They all end in 0 or 5
Step-by-step explanation:
Answer:
They all end in 0 or 5.
Step-by-step explanation:
15, 20, 25, and 30 all end in either 0 or 5.
You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of spinning an odd number, flipping heads, then spinning a 3 is .
Image of spinner is attached.
Answer:
Probability of the compound event is [tex] \frac{1}{9} [/tex]
Step-by-step explanation:
Given that the spinner contains 3 numbers: 1, 2, & 3.
A coin has 2 outcomes, a head & a tail.
Lets take,
P(A) = event of spining an odd number
P(B) = event of flipping heads
P(C) = event of spinning a 3
We now have:
P(A) = [tex] \frac{2}{3} [/tex]
P(B) = [tex] \frac{1}{2} [/tex]
P(C) = [tex] \frac{1}{3} [/tex]
They are all independent events
Probability of the compound event would be derived by multiplying all the events.
P= P(A) * P(B) * P(C)
[tex] = \frac{2}{3} * \frac{1}{2} * \frac{1}{3} = \frac{1}{9} [/tex]
Probability of the compound event is [tex] \frac{1}{9} [/tex]
what is the surface area for this cylinder
Answer:
≈ 3 619 in²Step-by-step explanation:
Surface area = 2×(base’s area) + lateral area
= 2×(base’s area) + (Perimeter of the base)×height
= 2×(π×12^2)+((2×π×12)×36)
=3 619,11473693544
What is it then??? IDK WHAT I DID WRONG
Answer:
P= 300000/60
= 5000watt
single letter means watt
you go shopping and your bill comes to $54 the sales tax added equals 7% what is the amount of sales tax added to your bill
Answer:
$3.78
Step-by-step explanation:
find 107%(100%=$54+7%=107%)
54*107/100= $57.78
find the amount of sale tax
57.78-54=$3.78
Pedro is playing a game where he has to roll a fair number cube with faces labeled from 1 to 6. What is the probability that he will roll either a 2, 3, or a 4 on his next roll?
Answer:
50%
Step-by-step explanation:
Hope it helps
Uma pessoa com audição normal pode ouvir sons de frequências entre 20 Hz e 20000 Hz. As frequências das ondas de rádio ficam entre 3000 Hz a 300 GHz. (1 GHz = 1000000000 Hz). Se 10000 Hz, por exemplo, é uma frequência audível, por que as pessoas não ouvem as ondas de rádio que estão viajando no espaço que rodeia?
Answer:
........,..................y.....bhjkkbub
what is 100,00 times 1/100,000, using the standard method of multiplication?
Answer:
0.1
Step-by-step explanation:
10,000 * (1/100,000) = 0.1
Find the value of p if Cos 49 = Sin(p+10)
Answer:Do you mean find p? If so then p+10 = 90 - 49, so p = 31°. Another possibility is in the second quadrant where p + 10 = 180 - 41 so p = 129° (The 41 comes from the first p+10, i.e. 31+10 = 41),
Check:
Step-by-step explanation:
How to find area of the base for a cube
Answer: length*width
Step-by-step explanation:
The base of a cube is a square. As long as you can find the area of a square, you can find the base of a cube. A=Area. A=length*width or A=lw. This works the same for rectangular prisms, but with rectangles AND squares.
QUICK HELP PLS!
A large city has 6 libraries.
Each library has at least 1 computer.
The median number of computers is 12.
The difference between the maximum number of computers and the minimum number of computers is 35.
Which statement are true about the number of computers in these libraries?
Select each correct answer.
A
There must be 3 libraries with 12 computers.
B
A library could have less than 12 computers.
C
A library could have more than 50 computers.
D
All libraries must have less than 35 computers.
E
At least 1 library does bot have 12 computers.
Answer:
A C E
Step-by-step explanation:
what is the probability of not drawing a green marble? If there are 6 blue, 9 red, 5 green
Answer:xxxxxxxxx
ggggggggxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Step-by-step explanation:
what is the solution to this expression[tex]\frac{4}{x^{2} \cdot t} \frac{x}{t^{2} }[/tex]
Answer:
4/xt 3 sqaured
Step-by-step explanation:
Circle O is shown. T O, Q O, P O, K O, and J O are radii. The measure of arc Q T is 0.14 r, the measure of arcs Q P, P K, and K J are r. The length of O J is 4. There are exactly π radians in a semicircle. There are exactly π radians in a full circle. There are approximately radians in a full circle. 2π radians is equivalent to degrees.
Answer:
There are exactly 2 π radians in a full circle.
There are approximately 6.28 radians in a full circle.
2π radians is equivalent to 360 degrees.
Answer:
1 4 4
Step-by-step explanation:
Blake walked 7/8 Ora a mile in 1/5
of an hour. If Blake continued walking at the same rate, what is the distance he would travel in one hour?
Answer:
4.375 miles
Step-by-step explanation:
7/8/12=x/60
12x=60(7/8)
12x=52.5
x=4.375
Can someone help me? I had the notes in my notebook but I threw it away when it got full, not thinking that I was ever gonna need these notes again.. ;,)
Liam is a tyre fitter.
It takes him 124 minutes to fit 4 tyres to a lorry.
a) How long would it take him to fit 6 tyres to a lorry?
b)
If he works for 93 minutes, how many tyres can he fit?
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Liam is a tire fitter.
It takes him 124 minutes to fit 4 tires to a truck.
The number of minute for the loading of one tire will be
⇒ 124 / 4
⇒ 31 minutes per tire
a) Then the number of the minutes for loading 6 tires to a truck will be
⇒ 31 × 6
⇒ 186 minutes
b) If he works for 93 minutes. Then the number of tires can he fit will be
⇒ 93 / 31
⇒ 3 tires
The number of the minutes for loading 6 tires to a truck will be 186. If he works for 93 minutes. Then the number of tires can he fit will be 3.
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2. What is the width of this ornament if the volume is 2,226.09 cm^3?
A. 16.2 cm
B. 10.5 cm
C. 20.10 cm
D. 8.1 cm
Answer:
A. 16.2 cm
Step-by-step explanation:
I took the test
The width of ornament is 16.2 cm.
What is Volume of sphere?The formula for the volume of a sphere is V = 4/3 πr³.
As, the ornament is in shape of sphere.
Volume of sphere= 4/3 * π * r³
2226.09 = 4/3* 3.14 * r³
r³= 2226.09 * 3 / 4*3.14
r³= 6,678.27 / 12.56
r³ = 531.7093949044586
r= 8.101
Hence, width = 2* 8.101= 16.2 cm
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Wendy earned $14 per hour for x hours, plus a bonus of $50. Write an expression that represents how much Wendy earned. plz answer fast.
Answer:
W(x) = $50 + ($14/hr)x
Step-by-step explanation:
hope this helped
helpp pt.4 plzzzzzz
Answer:a and c
Step-by-step explanation:
Find the volume of the prism.
10 points
3 in.
11 in.
18 in
Answer: 594 in^3
Step-by-step explanation:
3*11*18=594 in^3
This is the rectangular prism formula.
Someone please help me
Answer:
The slope is 2.2
Step-by-step explanation:
Since the point goes through (0,0) the slope is given by
m =y/x
4.4 / 2
2.2
Fran is putting up a tent. Each triangular end of the tent has sides of length 6 ft. What is the approximate height of the tent, rounded
to the nearest foot? (Hint: A perpendicular from a vertex of an equilateral triangle to its opposite side will intersect the opposite side
at its midpoint.)
Answer:
height = 5 ft
Step-by-step explanation:
The height will divide the base of the triangle in two parts of 3 ft, making two smaller right triangles.
Then, to find the height, we can use the Pythagoras' theorem in one of these triangles:
6^2 = 3^2 + height^2
36 = 9 - height^2
height^2 = 27
height = 5.19 ft
Rounding to the nearest foot, we have height = 5 ft
Answer: 5
Step-by-step explanation:
A park ranger at a large national park wants to estimate the mean diameter of all the aspen trees in the park. The park ranger believes that due to environmental changes, the aspen trees are not growing as large as they were in 1975.
Answer:
(a) 0.15866
(b) Clustered, with two peaks
(c) Point estimate is 6.3 inches
Margin of error is 0.7 inches
(d) Yes
(e) Stratified sampling method
Step-by-step explanation:
(a) The given information are as follows
Mean diameter of Aspen trees, μ = 8 inches
Standard deviation, σ = 2.5 inches
[tex]z = \frac{x - \mu}{\sigma} = \frac{5.5 - 8 }{2.5} = -1[/tex]
Therefore;
p(x < 5.5) = p(z < -1)
From the z score table, we have p = 0.15866
Therefore, the probability that a randomly selected aspen tree in this park in 1975 would have a diameter less than 5.5 inches = 0.15866
(b) The distribution of the Aspen trees can be described as clustered and having two peaks around 9.25 inches and 5.25 inches
(c) The point estimate is 5.6 + (7.0 - 5.6)/2 = 6.3
The margin of error = (7.0 - 5.6)/2 = 0.7 inches
(d) Yes, because the 8 inches is outside the range
(e) Stratified sampling method
Here, the Aspen trees are separated into the highland and lowland samples such that the measurement required will be representative of both highlands park and lowlands park.
AYUDAAA porfavorrrr primera urna 6 bolas verdes y 3 rojas segunda urna 3 verdes, 3 blancas y 3 rojas tercera urna 6 verdes, 1 blanca y 2 rojas a) si sacan una bola de la primera urna que color es más probable de que se obtenga b) calculen las probabilidades de sacar una bola verde, una roja y una blanca de cada urna c) si quieren tomar una bola verde que urna elegirian d) supongan que sacan una bola verde de la tercera urna y no la regresan, lo que se conoce como extraccion sin reemplazo ¿que probabilidad tiene cada bola de salir en la siguiente extraccion?
We have the following information:
first urn: 6 green balls and 3 red ones
total: 6 + 3 = 9
second urn: 3 green, 3 white and 3 red
total: 3 + 3 + 3 = 9
third urn: 6 green, 1 white and 2 red
total: 6 + 1 + 2 = 9
a) A green ball is more likely to be obtained, since there are more green balls than red balls, which makes the probability higher.
b) probability of drawing a green, red and white ball.
first urn:
green = 6/9 = 66.66%
red = 3/9 = 33.33%
white = 0/9 = 0%
second urn:
green = 3/9 = 33.33%
red = 3/9 = 33.33%
white = 3/9 = 33.33%
third urn:
green = 6/9 = 66.66%
red = 2/9 = 22.22%
white = 1/9 = 11.11%
c) it would be chosen where the probability of drawing green would be the highest, which means that it would be possible both in the first and in the third ballot box, the probability is equal 66.66%
d) without a green ball, the third ballot box would look like this:
5 green balls, 2 red balls and 1 white ball, with a total of 8.
The probability of drawing would be:
green = 5/8 = 62.5%
red = 2/8 = 25%
white = 1/8 = 12.5%
Write the ratio in lowest terms:
7-1/2 inches to 3-1/3 inches
Answer:
9:4
Step-by-step explanation:
I believe you meant:
7 1/2 in
-------------
3 1/3 in
Rewriting both mixed numbers as improper fractions, we get:
15
------
2
==========
10
-------
3
Remember: to divide by a fraction (such as 10/3 here), invert the divisor fraction and multiply instead:
15 3 (3)(3)
------- * ------ = --------- = 9/4 or 9:4 (this is a ratio expressed in lowest terms)
2 10 (2)(2)