No, the cone and the cylinder can't have congruent heights and bases.
is it possible that the two cones have congruent bases and congruent heights?
The volume of a cylinder of radius R and height H is:
V = pi*R^2*H
And for a cone of radius R and height H is:
V = pi*R^2*H/3
So, for the same dimensions R and H, the cone has 1/3 of the volume of the cylinder.
Here, the cylinder has a volume of 120cm³ and the cone a volume of 360cm³, so the cone has 3 times the volume of the cylinder.
This means that the measures must be different, so the cone and the cylinder can't have congruent heights and bases.
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The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 6, 4, 6, 8, 7, 7, 6, 3, 3, 8, 10, 4, 8 7, 8, 7, 5, 9, 5, 8, 4, 3, 8, 5, 5, 4 4, 4, 8, 4, 5, 6, 2, 5, 9, 9, 8, 4, 8 9, 9, 5, 9, 7, 8, 3, 10, 8, 9, 6 Develop, a, 95%, confidence, interval, estimate, of, the, population, mean, rating, for, Miami.
Using the t-distribution, it is found that the 95% confidence interval for the population mean rating for Miami is (5.73, 6.95).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 50 - 1 = 49 df, is t = 2.0096.
Considering the given sample, the other parameters are given as follows:
[tex]\overline{x} = 6.34, s = 2.16, n = 50[/tex]
Hence, the bounds of the interval are:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 6.34 - 2.0096\frac{2.16}{\sqrt{50}} = 5.73[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 6.34 + 2.0096\frac{2.16}{\sqrt{50}} = 6.95[/tex]
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53 POINTS. Which expression gives the distance between the points (7, -2) and (3, -1)?
A.√4² +3²
B.√4² +1²
C. 10² +3²
D.√10² + 1²
the formula for distance between points is:
Distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Using the points given:
Sqrt((3-7)^2 + (-1 - -2)^2)
Sqrt(-4^2 + 1^2)
None of the answer have a -4 but I think it should be B. Since it is the closest. Did you forget a negative sign when typing??
answer B.
The grade 10 class is going to bake muffins. The recipe that they are going to use requires the following ingredients: RECIPE ✓2 Egga ✔125ml Cooking oll ✓375ml brown sugar (300g) ✓800ml Milk ✓300g Whole wheat flour ✓ 375ml cake flour (210g) ✓5ml Salt ✓ 5ml Vanilla Essence ✓ 10ml Bicarbonate of soda ✓ 250ml Raisins (150g) 2.1 The volume of 150g of Whole wheat is 250ml. Calculate the volume of the Whole wheat flour in the recipe 2.2 When they are all mixed together, all the above ingredients make up 2 litres of mixture (because some parts dissolve into other parts). 2.2.1 Convert 2 litres into ml 2.2.2 How many muffins can the above recipe make if 60ml is required for each muffin? 2.2.3 Using your answer to question 2.2.2, how many eggs will the girls need to buy to make 500 muffins? 2.3 The students need to make 500 muffins, using muffin trays that hold 6 muffins par tray. They plan to put 4 trays at a time into the ovens. Each oven takes 30 minutes to bake. How long will they take to make 500 muffins if they will be using 4 ovens?
The conversion of 2 liters into millimeters from the information regarding the muffins is 2000ml.
How to convert?From the information, we are told to convert 2 litres into ml. This will be:
= 1000 × 2
= 2000ml
The number of eggs that will be bought to make 500 muffins will be:
= 500 × 2
= 1000 eggs.
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Of the following fractions: 1/4, 7/9, 7/12, and 9/16, which is the largest?
Answer:
1/4, 7/8, 7/12, 9/16
LCM of 4,8,12,16 = 48
1/4= 1×12/4×12= 12/48
7/8= 7×6/8×6= 42/48
7/12= 7×4/12×4= 28/48
9/16= 9×3/16×3= 27/48
hence, 7/8 is the largest fraction. I hope it helps ya!!
The largest fraction is 7/8.
What is Least Common Multiple?Least Common Multiple is defined as the smallest number that is a multiple of two or more numbers.
Given fractions,
1/4, 7/8, 7/12, 9/16
LCM of 4,8,12,16 = 48
1/4= 1×12/4×12= 12/48
7/8= 7×6/8×6= 42/48
7/12= 7×4/12×4= 28/48
9/16= 9×3/16×3= 27/48
Since the largest will be the fraction
NUMERATOR > DENOMINATOR
Hence, the largest fraction is 7/8.
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Please help me! Thanks.
Answer: Answer:
The perimeter of the polygon are
PQ = 5
RS = 5
PR = √74 = 8.60
QS = √74 = 8.60
QR = 7
Step-by-step explanation:
To calculate the perimeter of a polygon, polygon is like a coordinate with points, to find the length, we use this formula
d = √(x _2 - x_1)^2 + (y_2 - y_1)^2
Let's start from the first two vertices P ( 0 , 4) and Q(5 , 4)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = 4
PQ = √ ( 5 - 0)^2 + ( 4 - 4)^2
= √ 5^2 + 0^2
= √ 25
= 5
Between R( 5 , -3) and S ( 0 , -3)
x_1 = 5
y_1 = -3
x_2 = 0
y_2 = -3
RS = √ ( 0 - 5)^2 + ( -3 - (-3))^2
= √( -5)^2 + ( -3 + 3)^2
= √ 25 + 0
= √ 25
= 5
Between P( 0 , 4) and R (5 , -3)
x_1 = 0
y_1 = 4
x_2 = 5
y_2 = -3
PR = √( 5 - 0)^2 + ( -3 - 4)^2
= √ 5^2 + (-7)^2
= √ 25 + 49
= √ 74
= 8.60
Between Q ( 5 , 4) and S(0 ,-3)
x_1 = 5
y_1 = 4
x_2 = 0
y_2 = -3
QS = √ ( 0 - 5)^2 + ( -3 - 4)^2
= √ -5^2 + -7^2
= √ 25 + 49
= √ 74
= 8.60
Between Q( 5,4) and R(5 , -3)
x_1 = 5
y_1 = 4
x_2 = 5
y_2 = -3
QR = √ (5 - 5)^2 + ( -3 - 4)^2
= √ 0^2 + (-7)^2
= √ 0 + 49
= √ 49
= 7
Step-by-step explanation:
2x-y=3, x=-2y-2 solve for substitution
Answer:
-1.25
Step-by-step explanation:
2x - 7 = 3
x = -2y - 2
3 + 7 = 2x
x = 5
5 = -2y - 2
5 = -4y
5 = -4 times y
-
Mary's total bill for a used car is $2,700.00. If she pays an equal amount each month for an entire year, how much will she have to pay each month?
Answer:
$225
Step-by-step explanation:
When Mary pays the cost in 12 equal payments, each is 1/12 of the total amount.
__
1/12 × $2700 = $225
Mary will have to pay $225 each month.
Which number is the largest 1.2 x 10^4, 4.5 x 10^-3,3.8x10^3,7.5^3
1.2x10^4
Step-by-step explanation:
2.
negative exponent means it's a fraction so
4.5x10^-3 is 1/4500 or 0.0045 so
it's a very small number
1.
^4 means means move the decimal 4 spots
12×10^4 = 12,000
3.
^3 means move the decimal 3 spots
3.8 x 10^3 =
3800
4.
7.5x10^3 =
7500
Select the correct answer from each drop-down menu.
Alice is playing checkers against a computer and has won 8 games out of the 12 she's played so far.
Alice must win the next ✓consecutive games to reach a winning percentage of 80%. After that, losing
will bring her winning percentage down to 50%.
consecutive games
She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.
How to find the probability of winning?
She has won 8 out of 12 days. Thus, percentage of winning is;
P(winning) = 8/12 * 100%
P(Winning) = 75%
To arrive at 80% winning, it means that the number of extra consecutive games she must win is;
(8 + x)/(12 + x) = 80/100
10(8 + x) = 8(12 + x)
80 + 10x = 96 + 8x
2x = 16
x = 8
Thus, she must win the next 8 consecutive games to get 80%.
For her to get to 50% after that, it means that;
(16 - x)/(20 - x) = 50/100
(16 - x)/(20 - x) = 1/2
2(16 - x) = 20 - x
32 - 2x = 20 - x
x = 12
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The equation of this circle is (x +
)2 + (y +
)2 =
.
Answer:
x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.
I think this is the answer.
which expresstion is equivalent to 22 - 3
Answer:
48-29
Step-by-step explanation:
22-3=19, so put on that makes 19.
Answer:
19 + 3(19 + 22) - 22(3 * 7) + 1What the equation of the line that passes through the points (-4, 3) and is parallel to y = ½ x - 7?
The equation of the parallel line is: y = 1/2x + 5.
What is the Equation of Parallel Lines?The slope (m) of parallel lines are the same.
Given the equation, y = 1/2x - 7, the slope (m) is 1/2. Therefore, the slope of the line that passes through (-4, 3) would be m = 1/2.
To find the y-intercept (b), substitute m = 1/2 and (x, y) = (-4, 3) into y = mx + b.
3 = 1/2(-4) + b
3 = -2 + b
3 + 2 = b
5 = b
b = 5
Substitute m = 1/2 and b = 5 into y = mx + b:
y = 1/2x + 5
The equation is: y = 1/2x + 5.
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a. The velocity, v, of an object is moving in a medium at time t is given by
t = √ 30² +50+2 du. Evaluate t.
+
The value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
Velocity of the object moving in the medium
The velocity of the object moving in the medium is given as;
t = ∫(3u² + 5u + 2)du
the value of t is obtained by integrating the function as follows;
t = (3u³)/3 + (5u²)/2 + 2u
t = u³ + 2.5u² + 2u
Thus, the value of "t" in the given expression for the velocity of the object moving in the medium is t = u³ + 2.5u² + 2u.
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GIVEN F(x) = 4/x , FIND THE FOLLOWING VALUES.
1. x= 0
2. x= 2
3. x= 1
4. x = 2x
On the dance decoration committee, there are 6 seniors, 4 juniors, and 5 sophomores. Of these learners, 4 seniors, 3 juniors, and 3 sophomores are male. One learner is picked at random to present the decoration plans to the principal.
What is the probability that the learner is a senior or a male?
Using it's concept, it is found that there is a 0.8 = 80% probability that the learner is a senior or a male.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there is a total of 6 + 4 + 5 = 15 students. Of those, there are 6 seniors, and 6 male non-seniors, hence there are 12 desired outcomes, and the probability is given by:
p = 12/15 = 0.8 = 80%.
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only answer if you know (no guesses) no spams! :)
Answer:
3/4
Step-by-step explanation:
I actually took this quiz a day ago!
4 GET EVE ⠀ Directions:
Answer:
not a solution.. simple not needed to explain too
Find the distance from point C to point B.
Enter as a decimal rounded to the nearest tenth.
A
C
CB = [?] m
56°
390 m
B
Enter
Answer:
578.2
Step-by-step explanation:
tan(56) = 1.48256096
1.48256096 * 390
578.1987744
CB=578.2m
A can of soda can be modeled as a right cylinder. Jin measures its height as 11.8 cm
and volume as 281 cubic centimeters. Find the can's diameter in centimeters. Round
your answer to the nearest tenth if necessary.
Answer: 5.5 cm
Step-by-step explanation:
did it
What fraction is equivalent to 046464646
Answer:
46/99
explanation shown in the picture
Does anyone know the correct answer.
Answer:
The answer is B
If f(x) = x + 1 and g(x) = 2x – 7, which expression is equivalent to [f o g](3)? (3 + 1)(2(3) –7) 2(3)2 – 6 2(3 + 1) – 7 (2(3) – 7) + 1
Answer:
Solution
-1
f
x=
1
-X+
2
Step-by-step explanation:
f(x=2x-7
Solving Steps
y=2x-7
Interchange the variables
x=2y-7
Swap the sides
2y-7=X
Move the constant to the right
2y=X+7
Divide both sides
1
y=
>+*.
7
2
Solution
-1
f
x=
1
-X+
2
x+14/x=-9
Help please and if possible could someone be so kind as to make a step by step please
Answer:
X = 1.4
Step-by-step explanation:
x + 14/x = -9
x + 14 = -9x
x + 9x = -14
10x = -14
X = -14/10
X = -1.4
help please! thank you so much
Answer:
4 units ...................
Find the distance between the points (-20,6) and (-20,-14)
Answer:
20.00 units
Step-by-step explanation:
The distance between two points with coordinates
(-20,6) and (-20,-14) is:
20.00 units
(results are in decimal form, rounded to the nearest 100th)
A cone has a height of 8 yards and a radius of 3 yards. What is its volume?
Use ≈ 3.14 and round your answer to the nearest hundredth.
cubic yards
Submit
The volume of the given cone.
Solution:[tex]\large\boxed{Formula:V= \frac{1}{3}\pi{r}^{2}h}[/tex]
[tex]\large\boxed{\red \pi \red = \red 3 \red . \red 1 \red 4}[/tex]
Let's solve!
Substitute the values according to the formula.
[tex]V= \frac{1}{3}×3.14×{3}^{2}×8[/tex]
[tex]\large\boxed{V= 75.36 \: {yd}^{3}}[/tex]
Therefore, the volume of the given cone is 75.36 cubic yards.
(02.03 MC)
Rewrite the given expression as a product of a binomial and a trinomial.
729x3 + 8y³
O (9x-2y)(81x² - xy + 4y²)
O (9x+2y)(81x2 - 18xy + 4y²)
O (9x+2y)(81x² + xy + 4y²)
O (9x-2y)(81x2 - 18xy + 4y²)
Fabian mixes orange juice with 4 cans of pineapple juice to make punch. Each can of pineapple juice holds 2 liters. He makes a total of 19 liters of punch.
How many liters of orange juice did Fabian use to make the punch?
A.
9 L
B.
11 L
C.
13 L
D.
15 L
Step-by-step explanation:
Total= 19
Each holds 2 litres .
So it means, 19 -4= 15
You need 15 litres of oranges.
pls help it’s the last day of school
Answer:
12.56ftcube
Step-by-step explanation:
if V=(3.14×1^2)×4= 3.14 ×4=12.56
What is i^34
OA. i
B. -1
O C. 1
O D. -i
Answer: -1
Step-by-step explanation:
[tex]i^{34}=(i^{2})^{17}=(-1)^{17}=\boxed{-1}[/tex]