(a)Which athlete went on the shortest training ride?

'Choose one'
Athlete A
Athlete B

Answer:

The formula for the volume of a sphere is V = 4/3 πr³.  

Step-by-step explanation:

Surface area of sphere = 4πr2

Volume of a sphere = 4/3 πr3

You only need to know the radius to figure both the volume and surface area of a sphere.

Answers for surface area problems should always be in square units.

Answers for volume problems should always be in cubic units.

Answer:

The sum of 5 angles of a regular nonagon is 700

Step-by-step explanation:

A regular nonagon has 9 congruent sides.

Find the sum of the interior angles:

180⋅(9−2)=180·7

=1260

Find the measure of each interior angle:

1260/9=140 then multiply by 5 because we have to find the sum of 5 angles

140x5=700

A regular nonagon has 9 congruent sides. The sum of 5 angles of a regular nonagon is 700

The sum of all the interior angles is always equal to 180°

A regular nonagon has 9 congruent sides.

We need to find the sum of the interior angles:

180 x (9−2) = 180 x 7

= 1260

To find the measure of each interior angle:

1260/9 = 140

then multiply by 5

140 x 5 = 700

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Answer:

The answer is "266.5".

Step-by-step explanation:

Given value:

[tex]115, 370, 250, 93, 540, 225, 177, 425, 318, 182, 275, and\ 228.[/tex]

find:

Sample mean=?

[tex]=\frac{\text{total dental expenses}}{number \ of \ employees}[/tex]

[tex]=\frac{115+370+250+93+540+ 225+ 177+ 425+ 318+ 182+ 275+228}{12}\\\\=\frac{3,198}{12}\\\\=266.5\\\\[/tex]

Answer:

80 different points.

Step-by-step explanation:

right, left, up, or down = 4 possibilities x 2 since there is a coordinate with 2 numbers so,

8 possibilities.

8 x 10 = 80 possibilities.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. After $10 steps, the number of different points that could Franklin ends up at 1048576.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that Franklin can move in 4 direction after each step, therefore, the number of choices that Franklin have is,

Number of points = 4×4×4×4×4×4×4×4×4×4 = 4¹⁰ = 1048576

Hence, After $10 steps, the number of different points that could Franklin ends up at 1048576.

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Answer:

Step-by-step explanation:

Answer:

3.35 = (3 * 100) + (3 * 1/101) + (5 * 1/102)

3.35 = (3 * 1) + (3 * 1/10) + (5 * 1/100)

3.35 = 3 + 3/10 + 5/100

3.35 = 3 + 0.3 + 0.05

Answer:

hi

Step-by-step explanation:

i think so

3,14 × 20=62,8

have a nice day

Answer:

H.

Step-by-step explanation:

I believe this is the answer because when you look at the problem and see the rate of change pattern months go +2 , +3, +2, and +3. Then when you look at the cards rate of change 80-44=36, so +36 then 104-80=24, so +24. as you can see when you subtract the rates if change between the cards (36-24), you get 12. Therefore y=12x. next you go along with the pattern and find the y-intercept by doing 44-24=20. Sorry it is kinda hard to explain, but hope this helps!

Allen was given 20 cards , and he buys 12 cards each month

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Let the number of cards be y

Let the number of months be x

Let the first point be P ( 5 , 80 )

Let the second point be Q ( 7 , 104 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 104 - 80 ) / ( 7 - 5 )

m = 24 / 2

m = 12 cards per month

So , the equation of line is y - y₁ = m ( x - x₁ )

y - 80 = 12 ( x - 5 )

Adding 80 on both sides , we get

y = 12x + 20

So , when x = 0

y = 20 cards in the initial month

Hence , the equation of line is y = 12x + 20 and Allen has 20 cards in his initial month

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Answer:

b. Mean = 18.5 pounds, standard deviation = 4.48 pounds, shape non-Normal

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of samples:

When two samples are subtracted, we have that the mean is the difference between the means and the standard deviation is the square root of the sum of the variances.

The mean weight of dogs in a certain city is 28 pounds with a standard deviation of 14 pounds. Sample of 10

This means that [tex]\mu_{D} = 28, s_D = \frac{14}{\sqrt{10}} = 4.4272[/tex]

Mean weights of cats is 9.5 pounds with a standard deviation of 2 pounds. Sample of 8.

This means that [tex]\mu_{C} = 9.5, s_{C} = \frac{2}{\sqrt{8}} = 0.7071[/tex]

Which of the following is an accurate description of the center, spread, and shape of the sampling distribution of the difference in the mean weight dogs and the mean weight of cats?

The mean is:

[tex]\mu = \mu_{D} - \mu_{C} = 28 - 9.5 = 18.5[/tex]

The standard deviation(spread) is:

[tex]s = \sqrt{s_{D}^2+s_{C}^2} = \sqrt{4.4272^2+0.7071^2} = 4.48[/tex]

Normal distribution subtracted by non-normal(sample of cats is less than 30, so wont be normal), will be non-normal.

The correct answer is given by option b.

Answer is below n attachment

9514 1404 393

Answer:

  $44,935

Step-by-step explanation:

The amount due will be ...

  A = P(1 +rt) . . . . principal P at annual rate r for t years

__

3 months is 3/12 = 1/4 years, so the amount is ...

  A = $44,000(1 +0.085×1/4) = $44,935 . . . amount paid back

Answer:

42

Step-by-step explanation:

Answer: 42

Step-by-step explanation: 7 x 6 = 42

Answer:

Ratio tables show equivalent ratios between two quantities. They can help you find equivalent ratios in order to solve problems.

hope this helps:) emoji slammm

Step-by-step explanation:

11.True

12.False

13.False

14.False

15.True

16.False

17.False

18.True

19.True

20.False

Answer:

here

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer: Its the tens place, do you not pay attention in school?

Answer: I think it’s A the cylinder

Step-by-step explanation:

For PLATO users, the answers are the cylinder and the cone, NOT EITHER OF THE PYRAMIDS!!! Your welcome....

Answer:

B 7x+1

Step-by-step explanation:

(5x+2)+(4x-3)

(5x+4x) = 7x

(2-3) = 1

7x+1

A) divide actual inches by scale:

28/7 =4 cm

B) multiply actual cm by scale:

9 x 7 = 63 inches

Answer:

What are these types of numbers; 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100?

What are these types of numbers; 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100?

They are consecutive perfect squares. They are also consecutive sums of numbers with odd parity.

Firstly, consecutive perfect squares.

1²=1

2²=4

3²=9

4²=16

5²=25

6²=36

the answer is A

Answer:

X > -4

Step-by-step explanation:

Collect the like terms which literally leaves you with -x<4

Then just changes the signs, hence the answer.

Please mark brainliest!

Answer:

Hypotenuse: 6

Step-by-step explanation:

Sin45°=(BC/AC)

Sin45°=(3√2/AC

1/√2=3√2/AC

AC=3×2=6

so hypotenuse = 6

hope it helps

have a great day!!

Answer:

6

Step-by-step explanation:

here's your solution

=> sin 45° = perpendicular/hypotenuse

=> sin 45° = 1/√2

=> perpendicular = 3√2

=> 1/√2 = 3√2/hypotenuse

=> Hypotenuse = 3*√2*√2

=> Hypotenuse = 3*2

=>. Hypotenuse = 6

hope it helps

Answer:

BC = 16

EF = 23

AD = 30

Step-by-step explanation:

Answer:

i dont know if this is right but im pretty sure its 5

Step-by-step explanation:

Answer:

4.) 27

Step-by-step explanation:

Just take 30 and - 10% = 27

Because you are looking for the wrong one so you always have to see how many it was before and how many it was after. Sometimes you can minus the number and then that's the answer you get from minusing

Answer:

variable

this corect answer for this question

Answer:

x= -2

Step-by-step explanation:

2(x+3)=5x+10-x (we need to distribute first)

2x+6=4x+10   (then add like terms)

-2x=4    (now divide)

x= -2

Answer:

this is a horizontal line which crosses the y-axis at -4

Step-by-step explanation: