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3 years ago

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Mathematics

1 answer:

3241004551 [841]3 years ago

3 0

Answer:

first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.

Explanation:

1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.

2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4

3) sin (π/4) = sin (3π/4) = (√2) / 2

4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.

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Currently, each student in our school system is assigned a 6-digit (each

N76 [4]

Answer:

26,000,000 codes

Step-by-step explanation:

To find how many unique codes can be created, we just need to check how many possibilities there are for each letter or digit in the code.

Each letter has 26 possible values, and each digit has 10 possible values, so as we have 1 letter and 6 digits, the total number of unique codes are:

26 * 10 * 10 * 10 * 10 * 10 * 10 = 26,000,000 codes.

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3 years ago

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A biologist reports a confidence i

Pavlova-9 [17]

Answer:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

Step-by-step explanation:

Assuming that the parameter of interest is the sample mean $\mu$ . And we can estimate this parameter with a confidence interval given by this formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (1.9, 3.3)

Since the confidence interval is symmetrical we can estimate the sample mean with this formula:

$\bar X = \frac{Lower +Upper}{2}$

$\bar X= \frac{1.9+3.3}{2}= 2.6$

And the margin of error with this one:

$\bar X = \frac{Upper-Lower}{2}$

$ME = \frac{3.3-1.9}{2}= 0.7$

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3 years ago

Solve system if equations

Alexandra [31]

Answer:

(2, 9)

x = 2

y = 9

Step-by-step explanation:

To solve this system, we can either use substitution or graph it. I will be showing how to graph it.

To solve by graphing, we graph both of the equations and find the point at which the lines intersect.

[Graph]

-> See attached

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

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2 years ago

Plane tickets to Chicago usually cost $120. On a travel deal website, you scored a coupon for 35% off. Your budget for the trip

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Answer: yes it’s 78$

Step-by-step explanation: The difference is 42.00

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2 years ago

a contractor is looking at plans for building a storage shed. the side of the building on the plans is .75 inches long. if the s

Svetllana [295]

Answer:

108 in.

Step-by-step explanation:

12 he converted into inches would be 144 inches. 144×.75 is 108.

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3 years ago