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Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Solution :

Volume of ball = Volume of outer ball - Volume of inner ball

[tex]V = \dfrac{4\pi R^3}{3} - \dfrac{4 \pi r^3}{3}\\\\V = \dfrac{4\pi}{3}( R^3 - r^3 )\\\\V = \dfrac{4\pi}{3}( 200^3 - 100^3 )\\\\V = \dfrac{4\pi}{3}(2^3 - 1^3) \times 10^6\\\\V = 2.93 \times 10^7 \ m^3[/tex]

Now, density of iron is, d = 7300 kg/m³.

So, mass of iron ball is :

[tex]m = d\times V\\\\m = 7300\times 2.93 \times 10^7 \ kg\\\\m = 2.14 \times 10^{11}\ kg[/tex]

Hence, this is the required solution.

Answer:

don't

Step-by-step explanation:

they suck, wait until you're older and they are more mature

guys under the age of 18 tend to be immature and annoying

Answer:

5. D

6. B

7. B

Step-by-step explanation:

Answer:

sad to be honest

Step-by-step explanation:

Answer:

yo lemme stand in that dark door way

there

Step-by-step explanation:

Answer:

This inscribed angle is half of the intercepted arc JL, so 2(83)= 9x +40.

166 -40 = 9x, x=14.

Step-by-step explanation:

The value of x in the given figure is 14 which we obtain by  inscribed angle is half of the intercepted arc.

The inscribed angle is half of the intercepted arc.

83 = 1/2(9x+40)
Now let us find the value for x

83= 9/2x + 20

Subtract 20 from both sides to isolate the x variable

83-20=9/2x

63=9/2x

126=9x

Divide both sides by 9

14 is value of x

x=14

To learn more on Angles click:

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Answer:

y= - 1/6x + 2

Step-by-step explanation:

I know you need it quick

Statistics

Vocabulary

-------------------------

Mean is the average of a data set.

Find the Mean by adding all numbers and dividing by how many numbers there are in the data set.

19+4+12+4+x/5

Combine Like Terms.

39+x/5=11

Use random x values to determine x.

39+16=55

55/5=11

x=16

Insert x into the equation to make sure you're correct.

19+16+4+4+12=55

55/5=11

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

Answer:

option 2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

There are 10 data points in the graph, so the second one represents all 10 data points whereas the first one only shows the values and not how many of each value there are

Answer:

1. 1

2. -3

3. yes

4. no, it is not, because the function stop at point (-6, -2)

5. -2

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the required data to calculate the mean and the median are missing.

To solve this, I will assume the following values:

[tex]13, 18, 13, 14, 13, 16, 14, 21, 13[/tex]

[tex]n = 9[/tex]

The mean is calculated as:

[tex]Mean = \frac{\sum x}{n}[/tex]

[tex]Mean = \frac{13+ 18+ 13+ 14+ 13+ 16+ 14+ 21+ 13}{9}[/tex]

[tex]Mean = \frac{135}{9}[/tex]

[tex]Mean = 15[/tex]

To calculate the median;

Start by sorting the data

[tex]Sorted: 13, 13, 13, 13, 14, 14, 16, 18, 21[/tex]

[tex]n = 9[/tex]

The median is:

[tex]Median = \frac{n + 1}{2}[/tex]

[tex]Median = \frac{9 + 1}{2}[/tex]

[tex]Median = \frac{10}{2}[/tex]

[tex]Median = 5th[/tex]

The median is the 5th item on the list; i.e. 14

So:

[tex]Median = 14[/tex]

The difference (d) between the mean and the median is:

[tex]d = |Mean - Median|[/tex]

[tex]d = |15 -14|[/tex]

[tex]d = |1|[/tex]

Remove absolute bracket

[tex]d=1[/tex]

The difference in the mean and the median of the assumed dataset is 1

Answer:

here hereh ehreh ehe

Step-by-step explanation:

Answer:

i think its b) 7 feet

Step-by-step explanation:

Answer:

Yes, the boys caught the same ratio of catfish to trout.

Step-by-step explanation:

First, find the ratios of catfish to trout for both Darnel and Lester.

Darnel's ratio is 4:8, since he caught 4 catfish and 8 trout.

This can be simplified to 1:2 by dividing each number by 4.

Lester's ratio is 3:6, since he caught 3 catfish and 6 trout.

This can be simplified to 1:2 by dividing each number by 3.

So, both of their ratios are 1:2.

Yes, the boys caught the same ratio of catfish to trout.

Answer:

72/107

Step-by-step explanation:

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = (-1 -71)/(-100-7)

    = -72/-107

    = 72/107

Answer:

y - 2 = - 4(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 4 and (a, b) = (- 2, 2 ) , then

y - 2 = - 4(x - (- 2) ) , that is

y - 2 = - 4(x + 2)

Answer:

4

Step-by-step explanation:

B.) (-1, 3) , (3, 2)

Step-by-step explanation:

Not sure how to explan...

Answer: B: 3,2 A: -1,3

Step-by-step explanation:

Answer:

1st Question: 15   2nd Question: 52

Step-by-step explanation:

Each shape is a right triangle, that means it's 90 degrees. If you subtract the number shown by 90, you will have your missing value.

Answer:

angle 1=127 degree

angle 3=127 degree

angle 2=53 degree

angle 4=53 degree

angle 5=37 degree

angle 6=90 degree

angle 7=53 degree

angle 8=37 degree

angle 9=37 degree

angle 10=143 degree

angle 11=37 degree

angle 12=143 degree

Step-by-step explanation:

Answer:

32

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the correct answer is 32

Answer:

40 + 3n

Step-by-step explanation:

40 is starting number

3n is 3 times the number in the sequence because it goes up by 3 each term

Answer:

1/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

A ∩ B = {4, 6}

Step-by-step explanation:

A die had 6 faces

S = {1, 2, 3, 4, 5, 6}

If A  be the event of rolling an even number, then;

A = {2, 4, 6}

If B be the event of rolling a number greater than 3, then;

B = {4, 5, 6}

A ∩ B are the values that are common to both sets

A ∩ B = {4, 6}

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Answer:

Brownies made the most money

Step-by-step explanation:

Let c = cookies

b = brownies

We sold 51 items  so c+b = 51

Cookies are .75  and brownies are 1.25

.75c + 1.25 b = 53.25

We have 2 equations and 2 unknowns

c = 51-b

Substituting into the second equation

.75(51-b) + 1.25b = 53.25

Distribute

38.25-.75b +1.25b = 53.25

Combine like terms

38.25+.5b = 53.25

Subtract 38.25 from each side

38.25 +.5b -38.25 = 53.25 -38.25

.5b =15

Divide each side by .5

.5b/.5 = 15/.5

b = 30

Now find c

c =51-b

c = 51-30

c = 21

They sold 30 brownies and 21 cookies

30 brownies * 1.25 =37.50

21 cookies *.75 = 15.75

Brownies made the most money

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²