In a school, the ratio of musicians to athletes is 3 : 1. The number of musicians is how many times the number of athletes?
Answer:
3 times as many as the athletes
Hope that helps and good luck
~May
Answer:
94°
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is 180°. To do it the easier (but longer) way, simply do the following. Add all the interior angles up, and subtract it from 180 to get the angle you do not know, and then solve for angle 1:
180 = (29 + 65 + m∠2)
= 180 - 94 = m∠2
= m∠2 = 86°
Next, note that ∠1 & ∠2 are directly next to each other. When this occurs, solve for their supplementary angle. We know that m∠2 = 86°. Supplementary Angle = 180°:
180 - 86 = 94°
m∠1 = 94°.
The simpler way to solve this, is to first note that it is a triangle. To solve for the outlier angle, simply add the two opposite angles together to get your answer:
m∠1 = 29 + 65
m∠1 = 94°.
~
Count the units between the points
Answer:
Step-by-step explanation:
Given that:
X(t) = be the number of customers that have arrived up to time t.
... = the successive arrival times of the customers.
(a)
Then; we can Determine the conditional mean E[W1|X(t)=2] as follows;
Now 
(b) We can Determine the conditional mean E[W3|X(t)=5] as follows;
Now; 
(c) Determine the conditional probability density function for W2, given that X(t)=5.
So ; the conditional probability density function of 
given that X(t)=5 is:
Answer:
y= 1/2x-3
Step-by-step explanation:
2y - x = 8
First find the slope
2y = x+8
Divide by 2
2y/2 = x/2 +8/2
y = 1/2 x +4
The slope is 1/2 ( y=mx+b where m is the slope and b is the y intercept)
When lines are parallel they have the same slope)
Using y = mx+b
y =1/2x+b
Substituting the point (4,-1) into the equation
-1 =1/2(4)+b
-1 = 2+b
-3 =b
The equation of the line is
y= 1/2x-3
