Which point could be the point representing the graph of the diameter of the ball

Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

or

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

or

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

or

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

or

E[X²] = $\frac{91}{\textup{6}}$

or

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

or

variance = 15.167 - 3.5²

or

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

3 years ago

The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the me

RUDIKE [14]

Answer:

The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.

Step-by-step explanation:

First, we can find the measures of center for each group.

<u>Group A</u>

Mode: 1

Median: (1 + 2) / 2 = 3 / 2 = 1.5

Mean: (1 * 5 + 2 * 4 + 3) / 10 = (5 + 8 + 3) / 10 = 16 / 10 = 1.6

<u>Group B</u>

Mode: 3

Median: 92 + 3) / 2 = 5 / 2 = 2.5

Mean: (1 * 3 + 2 * 2 + 3 * 4 + 5) / 10 = (3 + 4 + 12 + 5) / 10 = 24 / 10 = 2.4

From here, we can see that...

The mean for Group A is less than the mean for Group B.
The median for Group A is less than the median for Group B.
The mode for Group A is less than the mode for Group B.

Hope this helps!

8 0

4 years ago

Usain Bolt of Jamaica set a world record in 2009 for the 200- meter dash with a time of 19.19 seconds. What was his average spee

kirill [66]

Answer:

His average speed was of 10.42 m/s

Step-by-step explanation:

We use the following relation to solve this question:

$v = \frac{d}{t}$

In which v is the velocity(in m/s), d is the distance(in meters), and t is the time, in seconds.

Usain Bolt of Jamaica set a world record in 2009 for the 200- meter dash with a time of 19.19 seconds.

This means that $d = 200, t = 19.19$

So his average speed was of:

$v = \frac{d}{t} = \frac{200}{19.19} = 10.42$

His average speed was of 10.42 m/s

6 0

3 years ago

How can we calculate the shaded area? Choose 2 answers: 1 A 4 1 1 1. + 4 4 4. 1 ) 4x

yulyashka [42]

Answer:

Sorry But there is no shape for me to look at to give you the answer :( Edit the question or just send me a screen shot of it in discord, mine is Mousycritter#2842

Step-by-step explanation:

3 0

3 years ago

Expand and Simplify (x-2)^2

Soloha48 [4]

Answer:

$\boxed{\ x^2-4x+4 \ }$

Step-by-step explanation:

$(x-2)^2 = (x-2)(x-2)=x(x-2)*-2(x-2)=x^2-2x-2x+4=x^2-4x+4$

3 0

3 years ago