Answers:
- angle1 = 156 degrees
- angle2 = 24 degrees
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Explanation:
The two angles form a straight line, which is 180 degrees
Add up the angle expressions and set the sum equal to 180.
(angle1) + (angle2) = 180
(4x) + (x-15) = 180
(4x+x)-15 = 180
5x-15 = 180
5x = 180+15
5x = 195
x = 195/5
x = 39
We use that x value to find each missing angle
- angle1 = 4x = 4*39 = 156 degrees
- angle2 = x-15 = 39-15 = 24 degrees
Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.
Side note: Angles that add to 180 are considered supplementary.
Using a t-distribution calculator and finding the p-value, the correct option regarding the conclusion is given by:
a) the p-value is 0.02. We reject h0 at the 5% significance level because the p-value 0.02 is less than 0.05.
<h3>What is the relation between the p-value and the conclusion?</h3>
It also involves the significance level, as follows.
- If the p-value is less than the significance level, we reject the null hypothesis
.
- If it is more, we do not reject.
In this problem, a t-distribution calculator for a right-tailed with <em>t = 2.15 and 25 - 1 = 24 df</em> is used to find a p-value of 0.02.
It is less than 0.05, hence option a is correct.
More can be learned about p-values at brainly.com/question/26454209
Answer:
120
Step-by-step explanation:
to find the volume of rectangular prisms, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units. After doing that, you get 120
The council tax bill before the increase is £1240
The equation that represents the percentage increase in council tax bill is :
percentage increase x t = £62
Where t represents the initial council tax bill - council tax bill before the 5% increase
5% x t = £62
0.05 x t = £62
Divide both sides of the equation by 0.05
t = £62 / 0.05 = £1240
To check if the answer derived is correct : 5% x 1240 = 62.
A similar question was answered here: brainly.com/question/12066598?referrer=searchResults
