1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yuliya22 [10]
3 years ago
14

Evaluate: (sec²37° -cot²53°)tan21°tan69°-sin51°cos49°-cos51°sin49°

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
= 1 * 1 - (sin (51 + 49)

= 1 - 0.9848 
= 0.0152  answer
You might be interested in
The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b
ANEK [815]

Answer:

P(\bar X

And we can solve this using the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(63.6,2.5)  

Where \mu=63.6 and \sigma=2.5

We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We want this probability:

P(\bar X

And we can solve this using the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we use this formula we got:

z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4

So we can find this probability equivalently like this:

P( Z

4 0
3 years ago
Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma
scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

315+213-123 =405

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither = 500-405 =95

Exactly one course is either math or economics - both

= 405-123 = 282

3 0
3 years ago
The Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is la
kkurt [141]

8*40 = 320 * 2 = $640 for the 2 workers

640/2000 = 0.32

labor cost is 32% of the revenue

8 0
3 years ago
A group of rectangular prisms is shown.
scoray [572]

Answer:

D, E and F

calculating the volume of regular bodies like prims works by multiplication alone.

you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step

8 0
2 years ago
What is the measure of the vertex angle of an isosceles
pshichka [43]

Answer:

A) 96

Step-by-step explanation:

The 2 base angles are both 42* thus adding up to 84*. 180-84=96

You are welcome.

3 0
3 years ago
Other questions:
  • 9. What length of material do you need for the jacket sleeves?
    8·2 answers
  • Find a 2 × 2 matrix b ≠ o and b ≠ i2 such that ab = ba, where a = 1 7 0 1 . b =
    8·1 answer
  • What is the LCD of 10 and 15?​
    7·1 answer
  • What is the GCF of the two numbers in the expression (24 + 30)?
    10·2 answers
  • How many integers between 1 and 40 are multiples of 3 and 7
    14·1 answer
  • How do you Evaluate 6!
    10·1 answer
  • Determine whether the following event is mutually exclusive or not mutually exclusive.
    15·1 answer
  • Which of the following is the lowest common denominator for the fractions 5/6 and 3/4? A)4 B)12 C)15 D)24
    7·1 answer
  • Type the correct answer in the box. The area of the figure is _______ square units. 2 units 8 units. 6 units​
    8·2 answers
  • Find the valué of x.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!