Emily wants to know the volume of a beach ball. She deduces that the beach ball has diameter of 12 inches, and then uses the following formula to find the volume: (3.14) (12) V = (3.14) (1728) (5425.92) V=7234.56 cubic inches Emily's answer is incorrect. What did she do wrong? She used the formula for a cylinder instead of the formula for a sphere She used the formula for a sphere instead of the formula for a cone. Multiplying (314)(1728) does not equal 5425.92. She used the beach ball's diameter when she should have used the radius​

Emily Wants To Know The Volume Of A Beach Ball. She Deduces That The Beach Ball Has Diameter Of 12 Inches,

Answers

Answer 1

Answer:

D. She used the beach's ball's diameter when she should have used the radius

Step-by-step explanation:

To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.

The formula she used is correct.

Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.

Radius (r) = ½(diameter) = ½(12) = 6 in.

This is where Emily made a mistake.

She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.

She should have gotten,

V = ⁴/3(3.14)(6)² = 904.32 cubic inches


Related Questions

A bag contains 5 blue marbles, 8 green marbles, and 11 red marbles. What is the probabilty of choosing a green marble?

Answers

Answer:

1/3

Step-by-step explanation:

You add the marbles up and you get 24, now divide by 8 and you get 3. Which is equal to a 1/3 chance of getting the green marble.

(31 points) Wilson County School District consists of 2,548 students. The district decided to conduct a survey regarding their new dress code policy. Wilson County School District surveyed 479 of their students and found that 42% of those surveyed disliked the new dress code policy. What is the margin of error, assuming a 95% confidence level?

Answers

Answer:

+ or - 0.044

Step-by-step explanation:

The margin of error is 0.044.

What is a Margin of Error?

A Margin of Error is defined as the results will vary from the actual population value by how many percentage points, as indicated by the margin of error.

The margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

To determine a margin of error for a sample proportion,

Where n is the sample size and is the sample proportion, these assumptions must be true.

n t ≥ 10

n(1 - t) ≥ 10

Write the proportion of lead to significant as a decimal number first,

42%

= 0.42

Now substitute the sample proportion and the sample size, 479, the assumptions are inserted into the equations to see if they are satisfied.

⇒(479X0.42) 201.18

⇒ (479)(1 − 0.42)

⇒  277.82

Both values are greater than 10, so the assumptions are satisfied, and the margin of error can be calculated.

Determine the margin of error using this formula, where z is the critical value.

[tex]ME = z\sqrt{\dfrac{T(1 - t)}{n} }[/tex]

For a 95% confidence level, z = 1.96.

Substitute the values of z, n, and T into the formula for margin of error and evaluate.

[tex]ME = 1.96\sqrt{\dfrac{0.42(1 - (10.42)}{479} }[/tex]

ME ≈ 0.044

Hence, the margin of error is 0.044.

Learn more about margin of error here:

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Does the orientation change in quadrilateral
ABCD to A'B'C'D'? when reflected?
A.)Yes, and it is reflected over the x-axis
B.) yes , and it is reflected over the y-axis

Answers

Answer:

b

Step-by-step explanation:

i have had this before

how many triangles are there

*image insert here*

Answers

There are 69 triangles

Help!!!!!!!!!! I need it asap

Answers

Answer:

(-4,3)

Step-by-step explanation:

I used photo math


Help!!!

Shawn has a piece of cardboard as shown in the diagram.
He wants to cut out as many squares as possible from the cardboard.
How many squares can he cut if each side of a square is....

Answers

Answer:

A. 2 cm long

Step-by-step explanation:

The there would be more squares cut out, the squares are smaller and its all even

Answer:

Step-by-step explanation:

A)  4+15=19 total 2cm squares

B) 4 + 3 = 7 total 3cm squares

C) 1 + 2 = 3 total 4cm squares

Find the area of the kite below.

Answers

Answer:

160 unit^2.

Step-by-step explanation:

Area = xy/2 where x and y are the length of the diagonals, so here:

Area = (16*20)/2

= 320/2

= 160.

Write the following expression using a single exponent. 4^6 ÷ 4^-2

Answers

Answer:

4^8.

Step-by-step explanation:

4^6 ÷ 4^-2     when dividing we subtract exponents , so we have:

4^(6- (-2))

= 4^8.

The side lengths of a 45-45-90 triangle are in the ratio 1 : 1 : SR2 what is tan 45?
SR= square root

Answers

Answer:

Step-by-step explanation:

tan 45=1/1=1

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle, the value of tan45 is 1.

What is the 45-45-90 triangle?

The 45-45-90 triangle is also an isosceles triangle, which means its two legs are equal in length.

Tan Theta is one of the trigonometric ratios which is equal to opposite / Adjacent in a triangle.

The side lengths of a 45-45-90 triangle are in the ratio 1: 1: [tex]\sqrt{2}[/tex].

The value of tan45 is given by the following formula;

[tex]\rm Tan 45 = \dfrac{Perpendicular}{Base}\\\\Tan45=\dfrac{1}{1}\\\\Tan45=1[/tex]

Hence, the value of tan45 is 1.

Learn more about trigonometry here;

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Ryan goes for a run for 29 minutes. He knows that each mile he runs
takes 6 minutes. To the nearest tenth, how many miles did Ryan run?
(turn your answer into a mixed number...simplify it...then type it as a decimal)

Answers

Answer:

4 and 5/29

Step-by-step explanation:

3x+2y=12 2x-3y=21 elimination please solve with answer and steps

Answers

Answer:

(6,-3)

or

x=6 y= -3

Step-by-step explanation:

Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable

What we can do is mulitply an equation to make the above true

let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)

So our new first equation is

1.5(3x+2y)=12*1.5

which simplifies to

4.5x+3y=18

We then add the two equatiosn

(4.5x+3y)+(2x-3y)=18+21

6.5x=39

x=6

Now that we know x we can plug that in and solve for y

3(6)+2y=12

18+2y=12

-6=2y

y= -3

Zari folds the net shown into a model of a solid figure. How many​ edges, faces, and vertices does the model​ have?

Answers

Answer:

-5 Faces

-10 Edges

-6 Vertices

Step-by-step explanation:

Folded out there are 3 rectangles and 2 triangles, 5 faces

Count the straight lines, no dotted, it's 10 edges

Count the corners only and the top of the triangles 6 vertices

If the surface area of a sphere is 484π, what is the radius?

Answers

Answer:

6.21 is the radius I believe

Step-by-step explanation:

Answer:

It would be 11.

Step-by-step explanation:

The equation for the surface area of a sphere is 4πr^2, so lets reduce the answer to get the value of r, the radius.

484π = 4πr^2

Divide by π

484 = 4r^2

Divide by 4

121 = r^2

Lastly, square root each side

11 = r

r is 11.

Calculate the value of this

Answers

Answer: here’s your answer

Step-by-step explanation:

8 in.
8 in.
8 in.
Find the area of the figure above.
[?] in2

Answers

Answer:

96

Step-by-step explanation:

Total area = area of cube + area of triangle

A = 8² +  = 64 + 32 = 96 in

No links! If ∆DEF~∆GHF, find the value of x.

Answers

Answer:

i couldn't atatch it onto here but you can down load it here

Step-by-step explanation:  

URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?

Answers

Answer:

f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]

Step-by-step explanation:

You just have to add the like terms separately,

5-7 in [tex]x^{4}[/tex]

only 6 in [tex]x^{3}[/tex]

10-2 in[tex]x^{2}[/tex]

-8 in x

and 3 as the constant

Find the area please

Answers

Answer:

th answer would be 20.8 :)

Step-by-step explanation:

lmk if this helps <33

about 20.8 would be the answer

Briana and her brother, Dimitri, each inherit $8,000 that they use to open new savings accounts.
Briana's account earns 4.3% annual compound interest. Dimitri's account earns 5.4% simple
interest. Assuming neither makes any additional deposits or withdrawals, how much more will
Briana's account be worth than Dimitri's account after 18 years? Round all final answers to the
nearest whole number.

Answers

Answer:

Dimitri's will have 3547.8 more than Briana

Step-by-step explanation:

but If your asking how much more she will have she won't but if you have to put something out -3547.8 hope this helps

The map shows the locations of 11 shelters along the Appalachian Trail. The distances (in miles) between these
shelters are 0.1, 14.3,5.3, 1.8, 14, 8.8, 8.8, 16.7, 6.3, and 3.3.
a. Find the mean, median, and mode of the distances.
b. A hiker starts at Shelter 2 and hikes to Shelter 11. How
does this affect the mean, median, and mode? Explain.

Answers

yesssssss yesssssss broooii yesssssss yesssssss broooiiou290
explain segssyy1100

Find the diagonal of a television screen 30 inches wide by 35 inches tall.
Round answer to the nearest tenth (if necessary).

Answers

Answer:

46.1 in

Step-by-step explanation:

Given data

Width= 30in

Height= 35in

To find the diagonal, we have to use the Pythagoras theorem

z^2= x^2+y^2

z^2= 30^2+ 35^2

z^2= 900+1225

z^2= 2125

z= √2125

z= 46.09

Hence the diagonal of the TV is 46.1 in

what is the value of x
A.6
B. 10
C.4
D.8

Answers

2x+19 = x+23
x=4

So the answer is C
The answer is going to be C

I=$26.24, P=$500, T=18 months the annual interest rate is

Answers

A = $2,861.60

I = A - P = $2,361.60

Equation:
A = P(1 + rt)

Calculation:
First, converting R percent to r a decimal
r = R/100 = 26.24%/100 = 0.2624 per year.

Solving our equation:
A = 500(1 + (0.2624 × 18)) = 2861.6
A = $2,861.60

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 26.24% per year for 18 years is $2,861.60.

please do this <33333

Answers

We know that,

In a right-angled triangle,

Hypotenuse ² = Base ² + Height ²

1 – 10 ² = 6 ² + X ²

Or, X ² = 10 ² – 6 ²

Or, X ² = 100 – 36

Or, X ² = 64

Or, X = √ 64

Or, X = 8 Units

2– X² = 7² + 3²

Or, X² = 49 + 9

Or, X² = 58

Or, X = √58

Or, X = 7.61 Units ( Approx )

3 – 15 ² = EF ² + 9

Or, EF² = 15 ² – 9 ²

Or, EF ² = 225 – 91

Or, EF ² = 134

Or, EF = √ 134

Or, EF = 11.6 Inches ( Approx)

.II} 1 – Here the length of the ladder will be the hypotenuse.

Hence, Hypotenuse = 13 Metre

.Now, The vertical wall will be the height.

Hence, Height = 12 Metre

Distance of the foot of the ladder to the wall will be the base.

Let base be B.

Now, Hypotenuse ² = Base ² + Height ²

Or, 13² = B² + 12²

Or, B² = 13² – 12²

Or, B² = 169 – 144

Or, B² = 25

Or, B = √25

Or, B = 5 Metre

Hence, the distance of the foot of the ladder from the wall is 5 metre apart.

The coordinates of the vertices of a polygon are (1, 2), (1,-1).(-6, -1), and (-6, 2).
What is the perimeter of the polygon?
A. 10 units
B. 14 units
C. 18 units
D. 20 units

Answers

The answer is D. 20 units

Answer:

20 units

Step-by-step explanation:

Help me solve this problem for a hug





Answers

Answer:

4

4in

Step-by-step explanation:

what grade lvl is this???

Have a nice day! :-)

Fill in the blank.
2. The volume of a cone is _____ the volume of a cylinder with the same base and height.

Answers

The volume of a cone is three times the volume of a cylinder with the same base and height.

Step-by-step explanation:

the volume of a cone is equal toone-third of the volume of a cylinderhaving the same base radius and height

You pick a card at random. Without putting the first card back, you pick a second card at
random.
123
What is the probability of picking a 2 and then picking a 1?
Write your answer as a fraction or whole number.

Answers

Answer:

1/6

Step-by-step explanation:

Firstly, Pr(e) = n(e)/Total outcome

Pr(2) = 1/3

Pr(1) = 1/2

Pr(1 and 2) = 1/3 * 1/2 = 1/6

16. The hood of Olivia's car is the shape of a trapezoid. The base bordering the

windshield measures 30 inches and the base at the front of the car measures

24 inches. What is the width of the median of the hood?

F. 25 in.

G. 27 in.

H. 28 in.

J. 29 in.

Answers

Answer:

Option G: 27 inches.

Step-by-step explanation:

When we have a trapezoid with bases:

B₁ and B₂, the median of the trapezoid can be calculated as:

M = (B₁ + B₂)/2

In this case, we know that the bases are:

B₁ = 30 in

B₂ = 24 in

Then the median is:

M = (30in + 24in)/2 = 54in/2 = 27in

The correct option is G.

There are 65 chairs set up for a movie. They are arranged into 5 rows. How many chairs are in each row?, don’t answer if u don’t know it

Answers

Answer:

13 chairs in each row

Step-by-step explanation:

divide 65 by 5 to get 13

Answer: 13

Step-by-step explanation: 65 divided by 5

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