Answer:
a) 8/19 chance
b) 7/19 chance (I'm not 100% sure)
Step-by-step explanation:
A) since there are 8 prime numbers from 1-19 we can say that the probability is 8 over 19 or 8/19
Answer:
x = 10
Step-by-step explanation:
Since the triangle is right use the sine ratio to find x
sin30° =
=
cross- multiply
x × sin30° = 5 ( sin30° = 0.5 )
0.5x = 5 ( divide both sides by 0.5 )
x = 10
Hey there :)
To find the slope with <em>two points</em> we will need to use the equation 

( 3 , -20 ) ( 5 , 8 )
Here is what the equation should look like when replaced with the numbers (<em>it will be a fraction</em>) :

We know that <em>two negatives</em> cancel out and make a positive, so the numerator would actually be 8 + 20.
Solve the fraction and we get 
28 <em>divided</em> by 2 is 14. The slope is 14.
Answer:
<em>24 children</em>
Step-by-step explanation:
If the length of time, y hours, it takes to put a jigsaw puzzle together is inversely proportional to the number of children, x, this is represented as;

k is the constant of proportionality
If it takes 16 children 6 hours to put the jigsaw puzzle together, this means at x = 16, y = 6
Substitute:
6 = k/16
k = 6*16
k = 96
W are to find number of children needed to put the same jigsaw puzzle together in 4 hours, this is done by substituting k = 96 and y = 4 into the expression y = k/x
y = 96/4
y = 24
<em>Hence it will take 24 children to put the same jigsaw puzzle together in 4 hours</em>
<em></em>
Answer:
72.5mph
Step-by-step explanation:
There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.
29/2= 14.5miles driven in 1/5 hours
Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).
14.5*5= 72.5miles