Answer:

Step-by-step explanation:
Given
6 rolls of a die;
Required
Determine the possible sequence of rolls
From the question, we understand that there were three possible outcomes when the die was rolled;
The outcomes are either of the following faces: 1, 2 and 3
Total Number of rolls = 6
Possible number of outcomes = 3
The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;




Hence, there are 120 possible sequence.
Answer:
Creo que con 15
Step-by-step explanation:
50 -------> 100%
X ---------> 30%
X = (50*30)/100
X= 15 boys
The residual value comes out to be 2.94 cm and height is 157.06 cm
<u>Explanation:</u>
The regression equation is calculated at the first step.
height = 105.08 plus 2.599 multiply foot length
At foot length = 20cm, height = 105.08 plus 2.599 multiply 20
= 157.06 cm
Residual = Actual minus predicted value = 160 minus 157.06
=2.94 cm
B) The residual standard deviation generally gives a sense of the goodness of fit of goodness of regression equation on our data. The magnitude tells us that how much will be predicted values from model will vary from actual values. the linear model is justified.
Answer:
Step-by-step explanation:
Given a triangle has points:
(-5,1),(2,1), (2,-1)
Let us label the points:
A(2,1),
B(-5,1) and
C(2,-1)
To find:
Distance between (−5, 1) and (2, −1) i.e. BC.
Horizontal leg AB and
Vertical leg, AC.
Solution:
Please refer to the attached diagram for the labeling of the points on xy coordinate plane.
We can simply use Distance formula here, to find the distance between two coordinates.
Distance formula
:

For BC:


Horizontal leg, AC:


Vertical Leg, AB:


Answer:
7 cups of flour
reason:
to find how much flour is needed, first you need to combine the two fractions.
to add the fractions, you first have to find a common denominator, which in this case is 15
multiply 1/5 by 3 to get 3/15, and 2/3 by 5 to get 10/15. combined, this is 13/15
since the answer is looking for the best estimate, you take the overall amount of flour, which would be 6 13/15, which is closer to 7 cups than 6
(I may be wrong this is just how I did it)