1. In the morning, the temperature

If the cotangent and tangent are reciprocals of each other, then what is the cotangent of an angle if the tangent of the same an

Ad libitum [116K]

Answer:

The cotangent of the angle will be b/a

Step-by-step explanation:

Since the cotangent and tangent are reciprocals of each other and the tangent of the same angle is a/b where a and b are not zero,

then the cotangent will be the reciprocal of the value of the tangent

= 1 / (a/b)

= 1 x (b/a)

= b/a

6 0

3 years ago

The University of Washington claims that it graduates 85% of its basketball players. An NCAA investigation about the graduation

Nonamiya [84]

Probabilities are used to determine the chances of events

The given parameters are:

Sample size: n = 20
Proportion: p = 85%

<h3>(a) What is the probability that 11 out of the 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 11) = ^{20}C_{11} \times (85\%)^{11} \times (1 - 85\%)^{20 -11}$

This gives

$P(x = 11) = 167960 \times (0.85)^{11} \times 0.15^{9}$

$P(x = 11) = 0.0011$

Express as percentage

$P(x = 11) = 0.11\%$

Hence, the probability that 11 out of the 20 would graduate is 0.11%

<h3>(b) To what extent do you think the university’s claim is true?</h3>

The probability 0.11% is less than 50%.

Hence, the extent that the university’s claim is true is very low

<h3>(c) What is the probability that all 20 would graduate? </h3>

Using the binomial probability formula, we have:

$P(X = x) = ^nC_x p^x(1 - p)^{n -x}$

So, the equation becomes

$P(x = 20) = ^{20}C_{20} \times (85\%)^{20} \times (1 - 85\%)^{20 -20}$

This gives

$P(x = 20) = 1 \times (0.85)^{20} \times (0.15\%)^0$

$P(x = 20) = 0.0388$

Express as percentage

$P(x = 20) = 3.88\%$

Hence, the probability that all 20 would graduate is 3.88%

<h3>(d) The mean and the standard deviation</h3>

The mean is calculated as:

$\mu = np$

So, we have:

$\mu = 20 \times 85\%$

$\mu = 17$

The standard deviation is calculated as:

$\sigma = np(1 - p)$

So, we have:

$\sigma = 20 \times 85\% \times (1 - 85\%)$

$\sigma = 20 \times 0.85 \times 0.15$

$\sigma = 2.55$

Hence, the mean and the standard deviation are 17 and 2.55, respectively.

Read more about probabilities at:

brainly.com/question/15246027

8 0

3 years ago

Which rectangle could be created from a parallelogram with a base of 6 and a height of 2?

nalin [4]

Answer:

A rectangle with a length of 6 and width of 2.

The corners added up make a rectangle so it is the same as a rectangle. You can just multiply 6 x 2 = 12 to find the area. If you have any more questions you are welcome to ask

Step-by-step explanation:

5 0

3 years ago

I don’t understand any of the below. Can you please help?

ehidna [41]

-25+(-12)=-37
14-(-20)=34
-4+(-10)=-14

6 0

3 years ago

Read 2 more answers

For the basic function f(x)=x, what conclusions can you make about f(x) and f(x)-5? Select all that apply.

babunello [35]

Answer:The ansewers are c and d.

Step-by-step explanation:

The function f(x)=x is really y=x.

7 0

3 years ago