All categories

3 years ago

1. Prove that 2 tan x / 2- sec^2 x = tan 2x.

Mathematics

1 answer:

Vikentia [17]3 years ago

8 0

Answer:

Step-by-step explanation:

Use trig identities:

tan

cos

sec

(

−

tan

)

tan

−

tan

sec

−

tan

You might be interested in

A matatu carries 14 passengers per trip. In

PilotLPTM [1.2K]

Answer:

"23,520"

Step-by-step explanation:

one trip: 14 passengers

one day: 3 trips

passengers: 80

80x14= 1,120

1,120x3= 3,360

3,360x7= 23,520

6 0

3 years ago

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per

ICE Princess25 [194]

Answer:

1.76% probability that in one hour more than 5 clients arrive

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The arrivals of clients at a service firm in Santa Clara is a random variable from Poisson distribution with rate 2 arrivals per hour.

This means that $\mu = 2$

What is the probability that in one hour more than 5 clients arrive

Either 5 or less clients arrive, or more than 5 do. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

We want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*2^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*2^{2}}{(2)!} = 0.2707$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

$P(X = 4) = \frac{e^{-2}*2^{4}}{(4)!} = 0.0902$

$P(X = 5) = \frac{e^{-2}*2^{5}}{(5)!} = 0.0361$

$P(X \leq 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.1353 + 0.2702 + 0.2702 + 0.1804 + 0.0902 + 0.0361 = 0.9824$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9824 = 0.0176$

1.76% probability that in one hour more than 5 clients arrive

8 0

3 years ago

Read 2 more answers

Help me find the area please

Katena32 [7]

Answer:

I'm not a hundred percent sure how to answer this one, because you need the height to solve but the other two tick marks would also be twenty because all of the sides are equal to one another.

3 0

2 years ago

The library is to be given 5 books as a gift. The books will be selected from a list of 23 titles. If each book selected must ha

Illusion [34]

Answer:

Concept: Statistics

They will receive 5 books
There are 23 titles
There must be a different title each time.
Hence there are 23 total selections

6 0

3 years ago

Read 2 more answers

Martha Alison and Scott buy 3.8 pounds of clay Martha used 1 /4 of the clay for a sculpture Scott used 2/5 of the remaining amou

Sever21 [200]

They are left with 0.51 pounds of clay.

Step-by-step explanation:

Given,

Amount of clay bought = 3.8 pounds

Amount used by Martha = $\frac{1}{4}\ of\ clay$

Amount used by Martha = $\frac{1}{4}*3.8=0.95\ pounds$

Amount left after Martha's use= Total amount - amount used by Martha

Amount left = 3.8 - 0.95 = 2.85 pounds

Amount used by Scott = $\frac{2}{5}\ of\ amount\ left$

Amount used by Scott = $\frac{2}{5}*2.85=\frac{5.70}{5}$

Amount used by Scott = 1.14 pounds

Amount left after Scott's use = Amount left after Martha's - Amount used by Scott

Amount left after Scott's use = 2.85 - 1.14 = 1.71 pounds

Amount used by Alison = 1.2 pounds

Amount left = Amount left after Scott's use - Amount used by Alison

Amount left = 1.71 - 1.2 = 0.51 pounds

They are left with 0.51 pounds of clay.

Keywords: subtraction, fraction

Learn more about subtraction at:

#LearnwithBrainly

3 0

3 years ago