All categories

3 years ago

Need help please on Pre Calculus!!! Directions: verify each identity

Mathematics

1 answer:

Juliette [100K]3 years ago

3 0

You first simplify

tan(x) = cos(x)/sin(x) and cot(x) = sin(x)/cos(x)

Then you plug that in and then you simplify even more

You might be interested in

Question 12 (2 points)

Leviafan [203]

Solving is :
X=2
Y=1

Step by step
(2x-3) + 5 = 3x
2x+2=3x
X=2

Substitute x by 2
Y=1

5 0

2 years ago

Refer to the Trowbridge Manufacturing example in Problem 2-35. The quality control inspection proce- dure is to select 6 items,

Ivanshal [37]

Answer:

77.64% probability that there will be 0 or 1 defects in a sample of 6.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The true proportion of defects is 0.15

This means that $p = 0.15$

Sample of 6:

This means that $n = 6$

What is the probability that there will be 0 or 1 defects in a sample of 6?

$P(X \leq 1) = P(X = 0) + P(X = 1)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{6,0}.(0.15)^{0}.(0.85)^{6} = 0.3771$

$P(X = 1) = C_{6,1}.(0.15)^{1}.(0.85)^{5} = 0.3993$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3771 + 0.3993 = 0.7764$

77.64% probability that there will be 0 or 1 defects in a sample of 6.

5 0

3 years ago

Since there are 5,280 feet in one mile and 3.3 feet in one meter, how many meters per second are equivalent to 60 miles per hour

svlad2 [7]

Given:
1 mile = 5280 feet
1 meter = 3.3 feet

convert 60 miles per hour to meters per second

60 miles to meters

60 miles x 5280ft x 1meter = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters

1 hour to seconds

1 hour x 60 minutes x 60 seconds = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute

unit rate: meters per second

96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second

2400 ÷ 1200 = 2
3600 ÷ 1200 = 3

5 0

3 years ago

Which phrase describes an unknown or changeable quantity/

Helen [10]

Answer:
C. 2 times the number of pages in the book

Explanation:
The number of pages of the book may vary or can change depending on the book

6 0

3 years ago

The product of two inductive odd integers

vaieri [72.5K]

Let m and n be any integers so that 2m and 2k are two even numbers.

The product is 2m(2k) = 2(2mk), which is even.

4 0

3 years ago