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alexira [117]
3 years ago
10

Which equation can be used to prove 1 + tan2(x) = sec2(x)?

Mathematics
1 answer:
notsponge [240]3 years ago
6 0

Answer:

fourth option

Step-by-step explanation:

Using the trigonometric identity

cos²x + sin²x = 1

Divide all terms by cos²x

\frac{cos^2x}{cos^2x} + \frac{sin^2x}{cos^2x} = \frac{1}{cos^2x} which gives

1 + tan²x = sec²x

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If an experimenter sets equal to .01, then she is defining a "statistically rare" event as an event occurring more than one time
Fynjy0 [20]

Answer:

The correct answer is an event occurring one or fewer times in 100 times if the null hypothesis is true.

Step-by-step explanation:

For a statistically rare event, its probability is relatively small and the event is very unlikely to occur.  Therefore, if an experimental sets equal to 0.01 which is statistically rare, then we can interpret this mathematically as:

p(event) = 0.01 = 1/100

where p(event) is the probability of the event.

In addition, statistically, null hypothesis signifies no major difference between the specified parameters, and any obvious difference that might occur as a result of experimental error. Thus, it can be concluded that the event is occurring one or fewer times in 100 times if the null hypothesis is true.

3 0
4 years ago
The sum of two numbers is -149. One number is 5 less than the other. Find the numbers
PSYCHO15rus [73]

Answer:

-72 and -77

Step-by-step explanation:

-149 divided by 2 is 74.5 and sense we want a 5 difference we divide 5 by 2 to get 2.5 the we take 74.5 and add 2.5 to get - 72 and take 74.5 and subtract 2.5 to get -77.

6 0
3 years ago
Read 2 more answers
QUCIK!!!!!
aleksklad [387]

Answer:

Random month probability: 1 in 12

Random month that starts with J probability: 3 in 12

Step-by-step explanation:

you can also use 1/12 and 3/12

6 0
3 years ago
Read 2 more answers
Which point is collinear with points a and d
Art [367]
B. (6, -8)

First, you need to figure out the slope of the line

(y1 - y2) / (x1 - x2)

After substituting points D(-3, 4) A(3, -4)

[4 - (-4)] / (-3 - 3)
(8) / (-6)

The slope of the line is -8/6 or -4/3 simplified

Then you can put it in point slope form:

(y - y1) = m(x - x1)

(y - y1) = -4/3(x - x1)

The point that I am using for point slope form is A(3, -4)

[y - (-4)] = -4/3(x - 3)
y + 4 = -4/3(x - 3)

Next you have to simplify the equation so that y is isolated

y + 4 = -4/3(x - 3)

First distribute the -4/3

y + 4 = -4/3(x) + (-4/3)(-3)
y + 4 = -4/3x + 4

Subtract 4 on both sides
y + 4 - 4 = -4/3x + 4 - 4
y = -4/3x

Now that you have y = -4/3x, you can substitute the values until one of them makes the equation equal

For example) (6, -8)
-8 = -4/3(6)
-8 = -8

So since (6, -8) fits in the slope intercept equation, it must me collinear with points A and D

~~hope this helps~~

6 0
4 years ago
What is the positive square root of 9 over 16?
nalin [4]
So 'the square root of 9/16' is '3/4'
3 0
2 years ago
Read 2 more answers
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