Answer:
The 8th term of the sequence is 255
Step-by-step explanation:
To find the 8th term of the sequence, we have to use the given sequence formula
All we have to do here is to make a substitution
We simply have to substitute the value 8 for n as follows;
a8 = 2^8 - 1
a8 =256-1
a8 = 255
Answer:
<h2>The arc PSQ is 302°.</h2>
Step-by-step explanation:
We know that the total length of the circumference is 360°. In this case, that total is divide in two arcs PQ and PSQ, so
Replacing given values, we have
Therefore, the arc PSQ is 302°.
Answer:
5 mph.
Step-by-step explanation:
Let the runner travel at x miles an hour , then the cyclist travels at 5/ 3 * x
= 5/3 x miles an hour.
So we have the equation
5/3 x - x = 2 ( since the cyclist was travelling at 2 mph faster).,
2/3 x = 2
x = 3/2 * 2 = 3 mph.
So the cyclists speed was 3 * 5/3
= 5 mph.
Answer:
0.52
Step-by-step explanation:
Dependent event is an event that is affected by previous events. If you select the first blue gem from three, then the number of blue gems becomes 1 less and when choosing the second blue gem you have to select it from 2 blue gems. So, according to definition these events are dependent.
You have 7 white gems, 5 green gems and 3 blue gems that is 15 in total. Probability to choose first gem blue from jewel case is 3/15=1/5. Then there left 7 white gems, 5 green gems and 2 blue gems that is 14 in total. Probability to choose second gem blue from jewel case is 2/14=1/7.
Use the product rule to count the whole probability: 1/5·1/7=1/35.