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nordsb [41]
3 years ago
6

Express as a product:

sin^2\alpha" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Basile [38]3 years ago
3 0

Answer:

(1 - 2sinα)(1 + 2sinα)

Step-by-step explanation:

1 - 4sin²α ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

1 - 4sin²α

= 1² - (2sinα )²

= (1 - 2sinα)(1 + 2sinα)

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Evan typed 72 pages of notes one day. He typed 1 2 of the pages in the morning and 1 3 of the pages in the afternoon. He typed t
Korolek [52]

Answer:

60 pages

Step-by-step explanation:

Evan types a total of 72 pages a day.

In the morning he typed 1/2 pages or 72/2 = 36 pages.

In the afternoon he typed 1/3 pages or 72/3 = 24 pages.

Together, he typed 36 + 24 = 60 pages in the morning and afternoon.

7 0
3 years ago
The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi
dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 16.3, \sigma = 4.2

What is the probability that a randomly selected exam will require more than 15 minutes to grade

This is 1 subtracted by the pvalue of Z when X = 15. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{15 - 16.3}{4.2}

Z = -0.31

Z = -0.31 has a pvalue of 0.3783.

1 - 0.3783 = 0.6217

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

8 0
3 years ago
HELP ME PLEASE QUICK
UNO [17]

Answer:

D

Step-by-step explanation

6 0
3 years ago
The ratio between diameter and dircumference of circle is ......................​
marysya [2.9K]

Answer:

The ratio of the circumference of a circle to its diameter and is called π (Pi).

Step-by-step explanation:

7 0
2 years ago
How do you find the area of a right triangle without the height?
ch4aika [34]
If you know the measurements of 2 sides not the height , you can apply Pythagorean theorem to find the height. Square root of the sum of the squared sides 
7 0
3 years ago
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