Answer:
50%
Step-by-step explanation:
In the bag there are left 6 marbles: 3 red marbles + 3 blue marbles
Chances to get a blue marble = 3/6 = 0.5 = 50%
3(5 + 6)
15 + 18 is your answer
Distribute the 3 to both 5 and 6
3 x 5 = 15
6 x 3 = 18
15 + 18 is your expression
hope this helps
Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
Answer:
AC = 14.0
Step-by-step explanation:
We know that this is a non-right triangle, so we must use either the law of sines or law of cosines to find AC.
We can find the measure of <C using 180 - (118 + 22) = 40
Since we only know one side and all the angles, we can use the law of sines:
Solving for AC gives us AC = 13.986826, which we can round to 14.0
The probability of a normally distributed data with mean, μ and standard deviation, σ, exceeds a value, a, is given by
<span>Given that the
average yearly snowfall in chillyville is normally distributed with a
mean of 55 inches. If the snowfall in chillyville exceeds 60 inches in
15% of the years, thus we have:
Therefore, the standard deviation is approximately 5.
</span>