Answer:
there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Step-by-step explanation:
H0 : μw = μm
H1: μw < μm
The test statistic :
(x1 - x2) / sqrt[(sp²/n1 + sp²/n2)]
df1 = 14 - 1 = 13
df2 = 17 - 1 = 16
Pooled variance = Sp² = (df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)
Sp² = ((13*4^2) + (16*4.2^2)) ÷ (13 + 16)
Sp² = 16.90
t = (12.9 - 16.4) ÷ sqrt((16.90/14 + 16.90/17))
t = - 3.5 ÷ 1.4836645
t = - 2.359
Using the Pvalue from Tscore ; at 95% ; df = 29
Pvalue = 0.0126
Pvalue < α
0.0126 < 0.05 ;
Hence, we reject the null and conclude that there is significant evidence to support that the claim that the mean time women spend watching television less than the mean time spent by men.
Answer:
Step-by-step explanation:
Given that lines 
and 
are parallel, that means that we can establish some basic angle relationships here.
Since both lines are cut by a transversal, that means all angles formed by that line will be equivalent.
and 
are going to be equivalent because they are alternate exterior angles. These are formed by two parallel lines being cut by a transversal, and they will always be equal.
Since we know that both angles are equivalent to each other, we can set the expressions equal to each other to find x.
<em>Here's your equation, by the way.</em>
<em />
We can now solve for x.
Add 33 to both sides:
Subtract 2x from both sides:
Therefore, x = 59.
Hope this helped!
Answer:
B
Step-by-step explanation:
The answer is obviously B =-=
Answer:
y = -x +2
Step-by-step explanation:
First let's find the slope.
(-1,3) and (4,-2)
3 - -2/ -1 - 4 = 5/-5 = -1
Slope = -1
Now let's use slope intercept form:
y1-y2=m(x1-x2)
Let's plug in our slope for m.
y1-y2= -1 (x1-x2)
And now let's substitute y2 and x2 for one of our points, I'll use (4,-2)
y1+2 = -1(x1- 4)
y= -x + 4 -2
y = -x +2
