The slope is 2/1 and tye y intercept is 2
Answer:
That is a lot of questions to answer. But I will try.
5)
a) 6 square units
b) 5/6
Second picture
1. Area = 6
2. Area = 4.5
3. Area = 20
4. Area = 9
5. Area = 17.5
Third picture
a) 8 units because if you move the bottom triangle to the top of the other triangle it makes a rectangle with height of 2 and length of 4.
I'm sorry I have to go I would love to finish this but I hope what I gave helps you!
Answer:
Step-by-step explanation:
Given that:
mean μ = 70
sample size = 25
sample mean = 73
standard deviation = 7
level of significance = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:

The z score for this statistics can be calculated by using the formula:




z = 2.143
At level of significance of 0.10
degree of freedom = n -1
degree of freedom = 25 - 1
degree of freedom = 24
The p - value from the z score at level of significance of 0.10 and degree of freedom of 24 is:
P - value = 1 - (Z < 2.143)
P - value = 1 - 0.9839
P - value = 0.0161
Decision Rule: since P value is lesser than the level of significance, we reject the null hypothesis.
Conclusion: We conclude that energy drink consumption increases heart rate.
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
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We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.