Answer:
x = 47, y = 133
Step-by-step explanation:
Since the lines are parallel, then
x = 47 ( alternate angles )
x and y are adjacent angles and supplementary, thus
y = 180 - x = 180 - 47 = 133
Answer:
The null hypothesis will not be rejected.
Step-by-step explanation:
The hypothesis for the test is:
<em>H</em>₀: There is no difference between the two population means, i.e. <em>d</em> = 0.
<em>Hₐ</em>: There is a significant difference between the two population means, i.e. <em>d</em> ≠ 0.
Consider the Excel output attached.
The mean of the differences is,
.
The standard deviation of the differences is,
.
Compute the test statistic as follows:

The degrees of freedom is, n - 1 = 7.
Compute the <em>p</em>-value as follows:

The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
<em>p</em>-value = 0.112 > α = 0.02.
The null hypothesis will not be rejected.
45 seconds. Since there are 60 seconds in a minute and 60/4 is 15. 15*3 is 45. Hope this helped!
Answer:
the is option d cause big number is divided by small ones.
Step-by-step explanation:
hope it's right
Child=x
Adult=y
y=3x
5.2x+9.9y=767.8
5.2x+9.9(3x)=767.8
5.2x+29.7x=767.8
34.9x=767.8
x=22