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MrRa [10]
1 year ago
6

Which expression is equivalent to sin (pi/12)cos(7pi/12) -cos(pi/12)sin(7pi/12) ?

Mathematics
1 answer:
DerKrebs [107]1 year ago
3 0

Answer:

-1

Step-by-step explanation:

We see the given expression is equal to sin(pi/12 - 7pi/12), which is equal to sin(-pi/2), or just -1.

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Select the correct answer from each drop-down menu.
kompoz [17]

Answer: B has greater spread than A.

Step-by-step explanation:

Since we have given that

Set A: {38, 12, 23, 48, 55, 16, 18}

Range of A = Highest - Lowest

Range of A =  55  -  12

Range of A = 43

Set B:{44, 13, 24, 12, 56}

Range of B = Highest - Lowest

Range of B =    56      -     12

Range of B =       44

Since Range of B is more than range of A.

Hence, B has greater spread than A.

6 0
3 years ago
A survey of 2,000 doctor showed that an average of 3 out of 5 doctor use brand x aspirin. How many doctor use brand x asprin
choli [55]
3:5...added = 8

3/8(2000) = 6000/8 = 750 use brand x aspirin <===
5/8(2000) = 10000/8 = 1250 do not use brand x aspirin
4 0
3 years ago
Read 2 more answers
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
drek231 [11]

Answer:

The probability that <em>X</em> is less than 42 is 0.1271.

Step-by-step explanation:

The random variable <em>X </em>follows a Normal distribution.

The mean and standard deviation are:

E (X) = <em>μ</em> = 50.

SD (X) = <em>σ</em> = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

z=\frac{x-\mu}{\sigma}

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that <em>X</em> is less than 42 is 0.1271.

The normal curve is shown below.

6 0
3 years ago
What’s the value of X in the triangle
elixir [45]

Answer:

58

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Anyone understand this?
ohaa [14]

Answer:

yes you just have to solve for both x and y in the top system and then solve the other systems to find out which one has the same solutions

Step-by-step explanation:

hope this helps!

8 0
3 years ago
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