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3 years ago

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Mathematics

1 answer:

egoroff_w [7]3 years ago

8 0

Answer:

i think that looks right

Step-by-step explanation:

what do you have to do??

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Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

igor_vitrenko [27]

The required probability of success is given by 0.98906500

Assume the random variable X has a binomial distribution with the given probability of obtaining a success.
P(X<5), n=6, p=0.3

<h3>What is binomial distribution?</h3>

In binomial distribution for number trials we are investigating the probability of getting a success remain the same.

n = number of trails,
p = probability of success
x = the number of success

p(x<5) = P(x=0)+ p(x=1) + p(x=2)+p(x=3)+p(x=4)

= $\binom{6}{0}(0.3)^0(1-0.3)^6+\binom{6}{1}(0.3)^1(1-0.3)^5+\binom{6}{2}(0.3)^2(1-0.3)^4+\binom{6}{3}(0.3)^3(1-0.3)^3+\binom{6}{4}(0.3)^4(1-0.3)^2$

p(x<5) = 0.98906500

Thus the required probability of success is given by 0.98906500

Learn more about Binomial distribution here:
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3 0

3 years ago

Each square represents 1 whole. Which of the following are represented by the model shown? Select the three correct answers.

gulaghasi [49]

Answer:

(52/10)

5 (2/10)

5.2

Step-by-step explanation:

7 0

3 years ago

Harley-Davidson motorcycles make up 14% of all motorcycles registered in the US. You plan to interview an SRS of 500 motorcycles

Effectus [21]

0.00005 probability or 0.005%

7 0

3 years ago

1. What is the solution to the system of equations?

boyakko [2]

Answer:

$\large\boxed{x=-8\ and\ y=9\to(-8,\ 9)}$

Step-by-step explanation:

$a)\ \text{Elimination method:}\\\\\left\{\begin{array}{ccc}3x+4y=12\\x+2y=10&\text{multiply both sides by (-2)}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}3x+4y=12\\-2x-4y=-20\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad \boxed{x=-8}\\\\\text{Put the value of x to the second equation:}\\-8+2y=10\qquad\text{add 8 to both sides}\\2y=18\qquad\text{divide both sides by 2}\\\boxed{y=9}$

$b)\ \text{Substitution method:}\\\\\left\{\begin{array}{ccc}3x+4y=12\\x+2y=10&\text{subtract 2y from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3x+4y=12&(1)\\x=10-2y&(2)\end{array}\right\qquad\text{subtract (2) to (1)}\\\\3(10-2y)+4y=12\qquad\text{use distributive property}\\(3)(10)+(3)(-2y)+4y=12\\30-6y+4y=12\qquad\text{subtract 30 from both sides}\\-2y=-18\qquad\text{divide both sides by (-2)}\\\boxed{y=9}\\\\\text{Put the value of y to (2):}\\x=10-2(9)\\x=10-18\\\boxed{x=-8}$

5 0

3 years ago

A telephone company charges a $0.25

Marta_Voda [28]

The value of a dependent variable is dependent on the value of an independent variable. The correct option is C.

<h3>What are independent and dependent variables?</h3>

Even though everything can be almost always related to its reason, when we talk about two related things, there might happen that one of those things is dependent on other.

If a variable is taking its values independently of any visible direct cause, then that variable is called independent variable.
The variables who take their values based on some other variables' values are called dependent variables.

The complete question is:

A telephone company charges a $0.25 connection fee, then $0.10 per minute for long distance calls. Which statement is true regarding this situation?

A. The rate of change is $0.25 and minutes are the independent variable.

B. The rate of change is $0.25 and minutes are the dependent variable.

C. The rate of change is $0.10 per minute and minutes are the independent variable

D. The rate of change is $0.10 per minute and minute are the dependent variable.

The cost of making a call is the sum of the cost of connection fee which is one time fee and cost $0.25, and the cost charged for a minute which depends on the number of minute for which the call is been established. Therefore, the total cost can be written for a x minute call is,

Total Cost = $0.25 + $0.10(x)

Since the total cost is dependent on x, therefore, x which is the minute is the independent variable. The rate of change is $0.10 per minute and minutes are the independent variable.

Hence, the correct option is C.

Learn more about Dependent and Independent Variable:

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5 0

2 years ago