Answers
Answer:
12.86 cm³ of water is saved
Step-by-step explanation:
✔️Since width of new ice ball must be the same as the length of original cube, therefore, diameter of the ice ball = 3 cm
Radius of ice ball = ½(3) = 1.5 cm
Volume of the new sphere ice ball = ⁴/3πr³
Substitute
Volume of new sphere ice ball = ⁴/3 × π × 1.5³ = 14.14 cm³
✔️To find out how much water would be saved using the new sphere ice ball, let's find the volume of the cube then find the difference of both.
Volume of original ice cube with length 3 cm:
Volume of cube = s³
s = 3 cm
Volume of cube = 3³ = 27 cm³
Volume of water saved = 27 cm³ - 14.14 cm³
= 12.86 cm³
Related Questions
You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a blank cell, and selecting Paste from the Edit menu. Give your answers to at least 3 decimal places accuracy. Keep the data in Excel and keep the answers below handy, as you will need this information again in later questions. 2. Compute the following summary statistics a) The mean for the low income group is: b) The median for the low income group is: c) The standard deviation for the low income group is: d) The mean for the high income group is: e) The median for the high income group is: f) The standard deviation for the high income group is:
Answers
Answer:
Low income group :
Mean = 22.100
Median = 22.000
Standard deviation = 4.717
High Income group :
Mean = 19.771
Median = 20.000
Standard deviation = 3.255
Step-by-step explanation:
Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22
High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20
Using Excel :
Mean of low income, Σx / n = 884/40 = 22.100
Median of low income group : 1/2(n+1)th term = Median of low income = 22.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 4.717
High Income group :
Mean of high income, Σx / n = 692/35 = 19.771
Median of high income group : 1/2(n+1)th term = Median of high income = 20.000
Standard deviation of low income group :
√(Σ(x - mean)²/n) = 3.255
what does this function show at x=1?
A. removable discontinuity
B. Jump discontinuity
C. Infinite discontinuity
D. Continuity
Answers
Answer:
c
Step-by-step explanation:
yeah tha answer is c I can't explain it rn but for now put c
Question 21
Find the volume.
Answers
Answer:
C
4712 cm³ exactly
Step-by-step explanation:
10² * pi is the area of the circle
then just multiply with the height
Answer:
C. 1500π ≈ 4710 cm³
Step-by-step explanation:
Volume = πr²h
Volume = π * 100 * 15
Volume = 1500π ≈ 4710 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Answers
Answer:
the answer would be B: 2.125lb.
Answer: B; 2.125lb
Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb
If a normal distribution has a mean of 104 and a standard deviation of 6, what is the z-score for a value of 110?
A. 1.5
B. 2
C. 1
D. 0.5
Answers
Answer: 1.5
mean: 104
S.D: 6
110-104/6=1.5
For the point P(2,-14) and Q(9,-9) find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ
Answers
Answer:
Step-by-step explanation:
Distance : [tex]\sqrt{(x2-x1)^2 + (y2 - y1)^2} = \sqrt{(9-2)^2 + (-9+14)^2}= \sqrt{49 + 25} = \sqrt{74}[/tex]
Midpoint :
x (m) = (2+9)/2 = 11/2
y (m) = (-14-9)/2 = -23/2
M (11/2, -23/2)
Find the domain and range of the function y = √x-3 + 6
Answers
Answer:
Domain: [tex][3,\infty)[/tex]
Range: [tex][6,\infty)[/tex]
Step-by-step explanation:
I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?
Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.
Therefore, the domain of the function is [tex][3,\infty)[/tex]
As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.
Therefore, the range of the function is [tex][6,\infty)[/tex]
See attached graph below for a visual.
What’s the ara of each figure?
Answers
Answer:
433 in.²
Step-by-step explanation:
Divide the figure into 2 rectangles
Area of the figure = area of the bigger rectangle + area of smaller rectangle
✔️Area of bigger rectangle = L*W
L = 29 in.
W = 13 in.
Area of the bigger rectangle = 29*13
= 377 in.²
✔️Area of the smaller rectangle = L*W
L = 7 in.
W = 8 in.
Area of the bigger rectangle = 7*8
= 56 in.²
✅Area of the figure = 377 + 56 = 433 in.²
In Triangle QRS, Angle R is a right angle, m angle Q = 57° and QS = 35. Which of the following expressions correctly
calculates the length of line QR ?
Answers
9514 1404 393
Answer:
(3) 35·cos(57°)
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
For the given triangle, this is ...
cos(57°) = QR/QS
Multiplying by QS gives ...
QS·cos(57°) = QR
Filling in the value of QS, we have ...
QR = 35·cos(57°)
What is the volume of the cone in the diagram?
Answers
Answer:
471.24
Step-by-step explanation:
V=πr2h/3
radius = 5 and length = 18
answer = 471.24
please mark me brainliest!!
Answer:
The answer Plato wants is 150Pi,
Step-by-step explanation:
(2+5i)+(-3-4i) what is the answer to this question?
Answers
Answer:
-1+i
Step-by-step explanation:
(2+5i)+(-3-4i)
=(2-3)+i(5-4)
=-1+i
Answer:
[tex]−1+i[/tex]
Step-by-step explanation:
[tex](2+5i)+(−3−4i)[/tex]
[tex]2+5i−3−4i[/tex]
[tex]−1+5i−4i[/tex]
[tex]−1+i[/tex]
Hope it is helpful.....5th grade math. correct answer will be marked brainliest
Answers
Answer: How are we going to point it?
Step-by-step explanation:
true or false m angle 1 <m angle 7
Answers
Answer:
False
Step-by-step explanation:
There might be a chance I am wrong though sorr for the inconvinience
The following functions give the populations of four towns with time tt in years.
(i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?
Answers
Solution :
Transforming given equations :
[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]
From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .
Hence, this is the required solution.
Answer: (i), 12%
Step-by-step explanation:
Given
The Population of four towns is given
(i) [tex]P=600(1.12)^t[/tex] i.e.
[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]
rate=12%
(ii) [tex]P=1000(1.03)^t[/tex]
[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]
rate=3%
(iii) [tex]P=200(1.08)^t[/tex]
[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]
rate=8%
(iv) [tex]P=900(0.90)^t[/tex]
[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]
rate=10% fall
So, the largest growth rate is for town (i) i.e. 12%
i hat is the slope 6/-10 and 3/-13
Answers
Answer:
1
Step-by-step explanation:
Assuming your mean we have the points
(6, -10) and ( 3, -13)
We can use the slope formula
m = (y2-y1)/(x2-x1)
m = ( -13 - -10)/( 3 - 6)
= (-13+10)/( 3-6)
= -3 / -3
= 1
Mr. Suh puts $1,500.00 into savings bonds that pay a simple interest rate of 2.5%. How much money will the bonds be worth at the end of 10 years?
Answers
Answer:
i have no idea
Step-by-step explanation:
The height of the tank is 11 m and the radius of the tank is 5 m. the height of the water is 6 m and the radius of the water is 3 m. how much more water in cubic meters could you fit in the tank?
Answers
Answer:
221 cubic metre.
Step-by-step explanation:
Volume of water in tank (v) = π × {3}^{2} × 6
= 54π cubic metre
Volume of tank (v') = π × {5}^{2} × 11
= 275π cubic metre
More Water that can be fit in the tank = v' - v
=275π - 54π
= 221π cubic metre.
ANS.
Bowl B1 contains one white and two red chips; bowl B2 contains two white and two red chips; bowl B3 contains one white and four red chips. The probabilities of selecting bowl B1, B2, or B3 are 0.3, 0.2, and 0.5, respectively. A bowl is selected using these probabilities and a chip is then drawn at random. Find:
a. P(W), the probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
Answers
Answer:
a) 0.3 = 30% probability of drawing a white chip.
b) 0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. P(W), the probability of drawing a white chip.
1/3(one white out of 3) of 0.3(from B1).
1/2(two white out of 4) of 0.2(from B2).
1/5(one white out of 5) of 0.5(from B3). So
[tex]P(W) = 0.3333*0.3 + 0.5*0.2 + 0.2*0.5 = 0.3[/tex]
0.3 = 30% probability of drawing a white chip.
b. P(B1 Given W), the conditional probability that bowl B1 had been selected, given that a white chip was drawn.
The probability of drawing a white chip from B1 is 1/3 out of 0.3, so:
[tex]P(B1 \cap W) = 0.3\frac{1}{3} = 0.1[/tex]
Then the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.3} = 0.3333[/tex]
0.3333 = 33.33% probability that bowl B1 had been selected, given that a white chip was drawn.
Amy has a bag with 2 pink marbles and 3 purple marbles. She picks two marbles. How much greater is the probability of Amy picking two consecutive pink marbles if she replaces her first marble as opposed to her leaving the first marble she picks out of the bag?
Answers
Answer:
2/5 is the answer bc there are 5 total marbles and you have more purple marbles then pink ones so the answer is 2/5 or 40%
5/6+3/9 in the simplest form
HELP PLSS
Answers
Answer:
1 1/6
Step-by-step explanation:
5/6 + 3/9
Simplify 3/9 by dividing the top and bottom by 3
5/6 + 1/3
Get a common denominator of 6
5/6 + 1/3 *2/2
5/6 + 2/6
7/6
Rewriting
6/6 +1/6
1 1/6
5/6 can’t be simplified but 3/9 can so it’s 1/3 but if you have to add them, use 6 as the common denominator as 3 is a factor then do 1x3 = 3 so it’s simplified to 5/6 + 2/6 = 7/6
pls help I need a good grade
Answers
Answer:
D
Step-by-step explanation:
because in standard form the first number can not be greater than 10 above 10 it should be in points. e.g. D must be 6.12×10^5
Wei has 150.00 to make a garland using 60-cent balloons
Answers
Answer:
The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation:
how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 50 L of a 50% alcohol solution
Answers
Step-by-step explanation:
Question 264138: How many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution? x=8 gallons of 65% solution is used. 20-8=12 gallons of 40% solution is used.
please mark as brainliest
Question in in picture, please help
Answers
Step-by-step explanation:
256 mm3
cause volume of rectangular prism is l*b*h
Because 10x8x3.2= 256
Pls Help I will give brianleist
Answers
Answer:
Solution given:
side1=2units
side2=8units
height[h]=6units.
now
area of trapezoid=½h(side1+side2)=½*6(8+2)=
30units².
Sorry the pic is fuzzy but can you help?
Answers
Step-by-step explanation:
may it be
9.6
may it help u
please answer both questions thanks
Answers
Answer:
1. tan(65) = x/3
x = 3tan(65)
= 6.434
≈ 6.4
(nearest 10th)
2. cos(43) = AB/17
AB = 17cos(43)
= 12.433
≈ 12.43
(nearest 100th)
What is 10 percent in 66
Answers
what is the measure and type of zy
Answers
9514 1404 393
Answer:
angle zoy is 70°, an acute angle
Step-by-step explanation:
Each of the 18 spaces around the 180° semicircle identifies 10° of arc. There are 7 spaces between rays z and y, so the angle zoy is 70°. It is less than 90°, so it is an acute angle.
Find the area of the polygon shown. Enter the number into the box.
m 2
2 mi
10 mi
4 mi
12 mi
1
2
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the image of the polygon is not given.
I will answer this question with the attached image (similar to your question)
The attached polygon is a trapezoid of the following dimensions.
[tex]Height = 4ft[/tex]
Parallel sides
[tex]Side\ 1 = 4ft[/tex]
[tex]Side\ 2 = 4ft+1ft = 5ft[/tex]
So, the area is:
[tex]Area = \frac{1}{2} * (Side\ 1 + Side\ 2) * Height[/tex]
[tex]Area = \frac{1}{2} * (4ft + 5ft) * 4ft[/tex]
[tex]Area = \frac{1}{2} * 9ft * 4ft[/tex]
[tex]Area = 18ft^2[/tex]