Answer:
(a). 2.251 cm
, 2.349 cm, 2.295 cm
(b). 0.023 meters.
Step-by-step explanation:
(a). We are asked to to choose the options that shows the actual measurement of the rainfall.
Since the rounded figure is 2.3 cm, this means that either the tenths digit is 3 with hundredths digit less than 5, or tenths digit is 2 with hundredths digit greater than or equal to 5.
Let us check our given choices one by one.
Therefore, the correct choices are 2.251 cm
, 2.349 cm and 2.295 cm.
(b) We know that 1 cm equals 0.01 meters.
To convert 2.3 cm to meters, we will multiply 2.3 by 0.01.
Therefore, the rounded measurement of rain would be 0.023 meters.
1. The cost is proportional to the number of tickets because the difference is constant. (Don't have a graph sorry) but all you have to plot is (1, 12) (2, 24)
2. The book palace because the difference stayed the same.
And I'm just wondering who is your math teacher?
For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand, we have that if two lines are parallel then their slopes are equal.
We have the following equation of the line:
Rewriting we have:
Thus, the slope of the lines is
Then, a parallel line will have slope
Thus, the equation of the new line will be given by:
To find the cut-off point "b", we substitute the point through which the line passes:
Finally the equation is:
ANswer:
This is a hypergeometric distribution problem.
Population (N=50=W+B) is divided into two classes, W (W=20) and B (B=30).
We calculate the probability of choosing w (w=2) white and b (b=5) black marbles.
Hypergeometric probability gives
P(W,B,w,b)=C(W,w)C(B,b)/(C(W+B,w+b)
where
C(n,r)=n!/(r!(n-r)!) the number of combinations of choosing r out of n objects.
Here
P(20,30,2,5)
=C(20,2)C(30,5)/(20+30, 2+5)
=190*142506/99884400
=0.2710
Alternatively, doing the combinatorics way:
#of ways to choose 2 from 20 =C(20,2)
#of ways to choose 5 from 30=C(30,5)
total #of ways = C(50,7)
P(20,30,2,5)=C(20,2)*C(30,5)/C(50,7)
=0.2710
as before.
Answer:
<em>m∠EBC = 34° </em>
Step-by-step explanation:
m∠DBC = m∠DBE + m∠ EBC
m∠DBC - m∠DBE = m∠EBC
(12x - 3)° - (5x + 12)° = (3x + 13)°
12x - 5x - 3 - 12 = 3x + 13
4x = 28
x = 7
<em>m∠EBC </em>= (3(7) + 13)° <em>= 34° </em>