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3 years ago

Since the die is rolled 20 times, the simulation must provide

Mathematics

1 answer:

OLga [1]3 years ago

5 0

Answer:

Step-by-step explanation:

Each of these outcomes will be a number from 1 to 6.

A die has 6 faces each containing the one number between 1 and 6 inclusive. When a die is rolled, each roll represents an independent trial. In a single roll, we can obtain one of the following outcomes;

1, 2, 3, 4, 5, or 6

This is referred to as a sample space of the experiment.

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A public health researcher examines the medical records of a group of 937 men who died in 1999 and discovers that 210 of the men

Julli [10]

Answer:

The correct option is (B) 0.173.

Step-by-step explanation:

The law of total probability states that:

$P(A)=P(A\cap B)+P(A\cap B^{c})$

The conditional probability of an event A given that another event B has already occurred is:

$P(A|B)=\frac{P(A\cap B)}{P(B)}$

Then the probability of intersection of A and B is:

$P(A\cap B)=P(A|B)\cdot P(B)$

Denote the events as follows:

H = a man died from causes related to heart disease.

X = a man had at least one parent who suffered from heart disease

The information provided is:

$P(H)=\frac{210}{937}\\\\P(X)=\frac{312}{937}\\\\P(H|X)=\frac{102}{312}$

The probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is, $P(H|X^{c})$ .

Compute the value of $P(H|X^{c})$ as follows:

$P(H)=P(H|X)\cdot P(X)+P(H|X^{c})\cdot P(X^{c})$

$\frac{210}{937}=[\frac{102}{312}\cdot \frac{312}{937}]+[P(H|X^{c})\cdot (1-\frac{312}{937})]\\\\\frac{210}{937}-\frac{102}{937}=[P(H|X^{c})\cdot \frac{625}{937}]\\\\\frac{108}{937}=P(H|X^{c})\cdot \frac{625}{937}\\\\P(H|X^{c})=\frac{108}{937}\times \frac{937}{625}\\\\P(H|X^{c})=0.1728\\\\P(H|X^{c})\approx 0.173$

Thus, the probability that a man randomly selected from this group died of causes related to heart disease, given that neither of his parents suffered from heart disease is 0.173.

The correct option is (B).

4 0

3 years ago

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0). Which conc

vodka [1.7K]

Answer:

They are similar by the definition of similarity in terms of a dilation.

Step-by-step explanation:

Given:

The vertices of ΔMNO are M (1, 3), N (4, 9), and O (7, 3). The vertices of ΔPQR are P (3, 0), Q (4, 2), and R (5, 0).

To choose: the correct option

Solution:

According to distance formula distance between points $(x_1,y_1),(x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For ΔMNO,

$MN=\sqrt{(4-1)^2+(9-3)^2}=\sqrt{(3)^2+(6)^2}=\sqrt{45}\\NO=\sqrt{(7-4)^2+(3-9)^2}=\sqrt{(3)^2+(-6)^2}=\sqrt{45}\\\\MO=\sqrt{(7-1)^2+(3-3)^2}=\sqrt{(6)^2+(0)^2}=\sqrt{36}=6\\$

For ΔPQR,

$PQ=\sqrt{(4-3)^2+(2-0)^2}=\sqrt{(1)^2+(2)^2}=\sqrt{5}\\QR=\sqrt{(5-4)^2+(0-2)^2}=\sqrt{(1)^2+(-2)^2}=\sqrt{5}\\\\PR=\sqrt{(5-3)^2+(0-0)^2}=\sqrt{(2)^2+(0)^2}=2\\$

So,

$\frac{MN}{PQ}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\ \frac{NO}{QR}=\frac{\sqrt{45} }{\sqrt{5} }=\sqrt{9}=3\\\frac{MO}{PR}=\frac{6 }{2 }=3\\$

Therefore, They are similar by the definition of similarity in terms of a dilation.

Two triangles are said to be similar if their sides are proportional.

8 0

3 years ago

What is 48,100,000,000,000 in scientific notation?

Kaylis [27]

Answer:

4. 4.81×10^13

Step-by-step explanation:

There are 13 digits after the 4 so it is

4.81 * 10^13.

5 0

3 years ago

Read 2 more answers

Point F is on line CD. Find the measure of angle CFE. Show your work.

wel

Answer:

CFD = 180

EFD= 152

180-152= 28

CFE= 28

Step-by-step explanation:

5 0

3 years ago

Somebody help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz im not smarttttttttttttttttttttttttttttttttt

LiRa [457]

Answer:

140

Step-by-step explanation:

multiply 5x4x7 and u will get ur answer

7 0

3 years ago