Is the following relation a function? Yes No

A binomial event has n = 60 trials. The probability of success for each trial is 0.20. Let x be the number of successes of the e

OLga [1]

Answer:

12 and 3.0984

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$\mu_{x} = np$

The standard deviation of the binomial distribution is:

$\sigma_{x} = \sqrt{np(1-p)}$

In this problem, we have that:

$n = 60, p = 0.2$

So

$\mu_{x} = np = 60*0.2 = 12$

$\sigma_{x} = \sqrt{np(1-p)} = \sqrt{60*0.8*0.2} = 3.0984$

So the correct answer is:

12 and 3.0984

4 0

3 years ago

On the left, prism A. Prism A is a triangular prism. The base has side lengths of 6 centimeters, 8 centimeters, and 10 centimete

Llana [10]

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

$10^2 = 8^2 + 6^2$

$100 = 64 + 36$

$100 = 100$

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

$Area = 0.5 * 8cm * 6cm$

$Area = 24cm^2$

For Prism B

$Lengths = 5cm\ and\ 5cm$

So, the area is:

$Area = 5cm * 5cm$

$Area = 25cm^2$

By comparison, prism B has a larger base area because $25cm^2 > 24cm^2$

5 0

3 years ago

$15.00 $20.00 $25.00 $30.00

arlik [135]

Answer:

Im guessing its

C

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Factor 18x 6y using the greatest common factor

elena55 [62]

18x and 6y, though i can't see the operation between, can be factored by dividing out a 6. 6 is the greatest common factor, as it's a multiple of 18.

for 18x + 6y: 6(3x + y) is the factored form. if your symbol is subtraction, it's basically the same, you just change the sign.

6 0

4 years ago

Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide b

solniwko [45]

Answer:

If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Step-by-step explanation:

Given the equation

$-\frac{7}{2}n+5=-16$