Answer:
5 marbles
Step-by-step explanation:
A bag contains
8 white marbles
6 red marbles
4 blue marbles.
Total number of marbles is :
8 + 6 + 4
= 18 marbles
Based on this current proportion
The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles
In order for the Probability of choosing a blue marble to be 1/2
The number of blue marbles has to be:
= 18 marbles × 1/2
= 9 blue marbles
From the question we have 4 blue marbles, hence:
9 blue marbles - 4 blue marbles
= 5 blue marbles
Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.
ANSWER: 40 deg.
EXPLANATION:
To find the measure of AC you multiply the corresponding central angle by 2 so (20*2).
BD is equivalent to AC; therefore, BD is 40.
to find the number divide 17+7i by 3+2i
17+7i / 3+2i = 5-i
the complex number is 5-i
Answer:
Expected value =0.9
Standard deviation = 0.4359
Step-by-step explanation:
Let's use the formula to find expected value or mean.
Expected value =Σ x *P(x)
x 0 1 2
P(x) ) .15 .8 .05
So, expected value = (0)(0.15) +1(0.8)+2(0.05)
= 0 +0.8 +0.1
=0.9
Expected value =0.9
Now, let's find standard deviation
x
0 =0.1215
1 =0.008
2 =0.0605
Now, add the last column together and then take square root to find standard deviation.
Standard deviation of the distribution =
Simplify it, so standard deviation =0.4358898...
Round the answer to nearest four decimal places
Standard deviation = 0.4359