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kaheart [24]
3 years ago
7

Use the identities for the cosine of a sum or a difference to write the expression as a single function of x.

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer:

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Step-by-step explanation:


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In your own words, explain the Normal Distribution and provide a real world example.
elena-14-01-66 [18.8K]

Answer:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

X \sim N(\mu , \sigma)

The two parameters are:

\mu who represent the mean and is on the center of the distribution

\sigma who represent the standard deviation  

One particular case is the normal standard distribution denoted by:

Z \sim N(0,1)

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

Step-by-step explanation:

The Normal distribution is a continuous probability distribution with possible values all the reals. Some properties of this distribution are:

Is symmetrical and bell shaped no matter the parameters used. Usually if X is a random variable normally distributed we write this like that:

X \sim N(\mu , \sigma)

The two parameters are:

\mu who represent the mean and is on the center of the distribution

\sigma who represent the standard deviation  

One particular case is the normal standard distribution denoted by:

Z \sim N(0,1)

Example: Usually this distribution is used to model almost all the practical things in the life one of the examples is when we can model the scores of a test. Usually the distribution for this variable is normally distributed and we can find quantiles and probabilities associated

4 0
3 years ago
The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se
tatuchka [14]
Answer: 294√3

Explanation:


1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a


2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3  / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3
8 0
3 years ago
What distance is shorter 3/4 or 2/4
dolphi86 [110]
2/4 is shorter distance. I think. Hope its helps !!!!!!!
8 0
4 years ago
Read 2 more answers
Solve 3/5=8/y. Round to the nearest tenth. 15.2 9.8 13.3 18.8
Sidana [21]
3/5 = 3/y
40 = 3y
Divide both by 3
Answer= 13.3
4 0
4 years ago
Ivan and Kate live 40 miles apart. Ivan leaves his house at 8:00 a.m.
Triss [41]

Answer: Time at which the meet = 10:17:24 am

Step-by-step explanation: Speed of Ivan = 12 mph

Speed of Kate = 16 mph

Total distance traveled = Initial separation = 40 miles

Ivan leaves his house at 8:00  a.m and Kate leaves her house at 9:30  a.m

If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,

We have

            Distance = Speed x Time

         Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan

       40 = t x 12 + (t-1.5) x 16

        40 = 28t - 24

         28t = 64

             t = 2.29 hours

So after 2.29 hours of Ivan's starting they meet,

Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am

Time at which the meet = 10:17:24 am

6 0
2 years ago
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