45°. I’m not sure what the relationship is but I think it’s linear pair ?
Answer:
37.89051724=x
Step-by-step explanation:
We can use similar triangles and proportions to solve. Put the same side of the small triangle over the large triangle.
MA MB
------- = ----------
MN MP
80.5 -35 x
------------- = ----------
70.5 96.6 -x
Simplifying
45.5 x
------------- = ----------
70.5 96.6 -x
Using cross products
45.5 (96.6-x) = 70.5x
Distribute
4395.3 - 45.5 x = 70.5x
Add 45.5x to each side
4395.3 - 45.5 x+45.5x = 70.5x+45.5x
4395.3 = 116x
Divide each side by 116
4395.3/116 = 116x/116
37.89051724=x
Answer:
46
Step-by-step explanation:
We are given that a class's test scores are normally distributed with an average score of 60.
We know that the curve of a normal distribution is symmetric about its mean.
60-14=46
60+14=74
Hence, the point 46 lies to the left of the mean and 74 lies to the right of the mean, and the two points have the same function value.
Answer:
Yes, Sample information does indicate that a 2-liter bottle of Pepsi contains more than 250 calories
Step-by-step explanation:
Null Hypothesis [H0] : u < 250
Alternate Hypothesis [H1] : u > 250 {One Tail}
t = (x' - u) / [ sd / √n ]
= (255 - 250) / (5.6 / √20)
5 / (5.6 /√20)
= 3.99
As t ie 3.99 > t value 1.65 ie for one tail 95% confidence level. So, we reject the null hypothesis & conclude that it contains more than 250 calories.
Step-by-step explanation:
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