What is this shape which is 75 mm in diameter and 112 mm in height. This shape has to be a prism

Consider the experiment of rolling two standard (six-sided) dice and taking their sum. Assume that each die lands on each of its

Strike441 [17]

Answer:

36

Step-by-step explanation:

Given that:

2 standard six sided dice are rolled :

Die 1 = 1, 2, 3, 4, 5, 6

Die 2 = 1, 2, 3, 4, 5, 6

Outcome = ordered pair of Number on the two dice

Event = different sum of the ordered pair of numbers.

The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies

= 6^2

= 36 different outcomes

7 0

2 years ago

Solve the following system of equations. -3x + 5y = 80 x + 5y = 40 A. x = -10, y = 10 B. x = 2, y = 17.2 C. x = 8, y = 6.4 D. x

hammer [34]

-3x+5y=80 if the x = -10 and y = 10
x+5y=40 if the x= -10 and y= 10

5 0

3 years ago

Use the regression line for the data in the scatterplot to answer the question. On average, how many more goals will a player sc

kari74 [83]

Answer:

A. 1/2 of a goal

Step-by-step explanation:

Hello!

Given the options:

A. 1/2 of a goal

B. 3/4of a goal

C. 1 goal

D. 4/3 goals

In a linear regression analysis the interpretation of the slope is:

> The modification of the average of Y when X increases one unit.

Given the variables

Y: Goals scored in the tournament.

X: Hours of training.

To calculate the slope, you have to use the y-intercept and choose two pairs of (Y;X) values that correspond to a value on the line, for example (1;1.5) and (2;1.5).

You can calculate the slope as b= ΔY/ΔX

$b= \frac{Y_2-Y_1}{X_2-X_1}= \frac{1.5-1}{1-0} = \frac{0.5}{1}= \frac{1}{2}$

1st value (X₁;Y₁)= (0;1)

2nd value (X₂Y₂)= (1;1.5)

So the average goals a player scores for every additional hour of practice is 1/2.

I hope this helps!

4 0

2 years ago

Read 2 more answers

On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:

$\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5$

Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

$\dfrac{1116.5+r}{12}=98.04$

We can now solve for r algebraically, first by multiplying both sides by 12:

$1116.5+r=98.04(12)\\1116.5+r=1176.48$

And then subtracting 1116.5 from both sides:

$r=1176.48-1116.5\\r=59.98$

6 0

2 years ago

Consider the following dot plots.

motikmotik

The correct answer is:

A) The medians are both between 10 and 14 emails.

Explanation:

The mode is the easiest measure to find of a data set.
The mode of a data set is the data value that appears the most often. In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.

In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.

They do not have the same modes.

The median of a data set is the middle value. There are 10 dots in each dot plot; this means the medians will each be between two data points.

For plot A, we can see that the middle value is between 10 and 15.
For plot B, we can see that the middle value is between 10 and 15.

This means that choice A is correct, the medians of both are between 10 and 14.

8 0

3 years ago