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ipn [44]
3 years ago
10

If m<6=85° what is the measure of <3

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

I am not sure , but my answer would be 42.5° .

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What is orthogonal in linear algebra
o-na [289]
This is a square matrix whose entries are real and rows and columns are orthogonal unit vectors.
8 0
3 years ago
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A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
Find the slope of the line contains (-2, -2) and (-10, -9)
oksian1 [2.3K]

Answer:

The slope is m = 7/8 or 0.975

Step-by-step explanation:

5 0
3 years ago
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Please help me! 7 points!! I don’t understand
SVETLANKA909090 [29]

This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.

For the resulting sum we can use the Law of Cosines or just add up the components.  Let's try it both ways.

Components first.   In the east direction we have

300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour

In the north direction we have

0 + 100 sin 30° = 100 (1/2) =  50 miles per hour

So a total speed of

sqrt{386.6^2 + 50^2} = 389.82 miles per hour

Answer: 389.82

--------

OK let's try the Law of Cosines.   We have sides 300 and 100 and included angle 150°.

c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ

c=\sqrt{151961.52422} = 389.82 \quad\checkmark

5 0
3 years ago
Please could someone help me?
Sonja [21]

Answer:

∠ XZY ≈ 23.6°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin Z = \frac{opposite}{hypotenuse} = \frac{XY}{YZ} = \frac{6}{15}, thus

Z = sin^{-1}(\frac{6}{15}) ≈ 23.6° ( to 1 dec. place )

3 0
3 years ago
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