Answer:
24
Step-by-step explanation:
Here's how we construct the LCD:
Factor the denominators 6 and 8: 6 = 2*3 and 8 = 2*2*2
The LCD involves 2*2*2 as well as 3:
LCD: 2*2*2*3 = 24. Note that 24 is divisible by both 6 and 8. There is no smaller LCD that is divisible by 6 and 8 both.
Answer:
x = -59/4
Step-by-step explanation:
3 x+ 2 = -x-57
Add x to each side
3 x+x+ 2 = -x+x-57
4x+2 = -57
Subtract 2 from each side
4x +2-2 = -57-2
4x = -59
Divide each side by 4
4x/4 = -59/4
x = -59/4
Answer:
Check the explanation
Step-by-step explanation:
Let
and
be sample means of white and Jesse denotes are two random variables.
Given that both samples are having normally distributed.
Assume
having with mean
and
having mean 
Also we have given the variance is constant
A)
We can test hypothesis as

For this problem
Test statistic is

Where

We have given all information for samples
By calculations we get
s=2.41
T=2.52
Here test statistic is having t-distribution with df=(10+7-2)=15
So p-value is P(t15>2.52)=0.012
Here significance level is 0.05
Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.
We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.
Answer:
Measure of ∠5 is 142°
Step-by-step explanation:
We are given that, Lines L and M are parallel.
As, the third line is intersecting both line L and M.
<em>We know that, 'The opposite angles formed by the intersecting lines are equal'.</em>
Since, the sum of the four angles formed by the third line and M is 360°.
So, we get,
∠1 + ∠6 + ∠7 + 38 = 360°
i.e. 2∠1 + 2×38° = 360°
i.e. 2∠1 = 360° - 76°
i.e. 2∠1 = 284°
i.e. ∠1 = 142°
Thus, ∠1 = ∠7 = 142°
Since, L and M are parallel.
So, ∠3 = ∠5 = 142°
Hence, we get that measure of ∠5 is 142°.
The answer to your question is 1 7/12