Answer: 20 hours
Step-by-step explanation: We want to round our answer to the nearest hour, we know that the rocket can travel 200 miles per 1 minute, but we want to know first how many miles the rocket can travel per 60 minutes or 1 hour.
To find how many miles the rocket can travel at 60 minutes or 1 hour, simply multiply 200 x 60. 200 x 60 = 12,000 miles per hour.
Now, we want to find how many hours it would take for the rocket to travel from the earth to the moon.
Simply divide 239,000 by 12,000 to get the amount of hours it would take to reach the moon. 239,000/12,000 = about 20 hours.
So, it would take the rocket ship 20 hours to reach the moon from the earth.
Answer:
1) 36
b) 5
c) 3.0
Step-by-step explanation:
1) The recursive formula that defines the given sequence is

That means we keep adding 4 to the subsequent terms:
The sequence will be:
12,16,20,24,28,32,36,...
Therefore the seventh term is 36.
2) The sequence is recursively defined by;

This means, we have to keep subtracting 5 from the subsequent terms.
The sequence will be;
20,15,10,5,...
Therefore the fourth term is 5
3) The sequence is recursively defined by:
f(n+1)=f(n)+0.5
where f(1)=-1.5
This means that, the subsequent terms can be found by adding 0.5 to the previous terms.
The sequence will be:
-1.5,-1.0,-0.5,0,0.5,1,1.5,2.0,2.5,3.0,....
Therefore f(10)=3.0
<span>Triangles exist:
</span>3 acute angles<span>
2 acute angles, 1 right angle
</span><span>2 acute angles, 1 obtuse angle
</span>
Triangles DON'T exist for:
<span>1 acute angle, 1 right angle, 1 obtuse angle
</span><span>1 acute angle, 2 obtuse angles</span>
Answer:
Reject the null hypothesis.
Step-by-step explanation:
n1 = 16
n2 = 21
S.V1 = 5.8
S.V2 = 2.4
= 0.05
= Population Variance 1 ≤ Population Variance 2
= Population Variance 1 > Population Variance 2
Test statistic value = 5.8 / 2.4 = 2.417
Degrees of freedom is n - 1
15 and 20
Critical value is
= 2.2
2.417 > 2.2
we reject the null hypothesis as the critical value is greater than the test statistic.
Since 5x is equal to y.we can write 5x instead of y in the equation.and then solve the equation