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3 years ago

Write the ratio of 42 coins/98 bills as a fraction in the simplest form

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:

3 coins / 7 bills

Step-by-step explanation:

42c/98b --(:2)--> 21c/49b --(:7)--> 3c/7b

42c/98b ---( : 14 = (2*7))--> 3c/7b

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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 <em>A</em> given that another event <em>B</em> 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:

<em>H</em> = a man died from causes related to heart disease.

<em>X</em> = 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

A triangle has a perimeter of 77 cm. One side of the triangle is double the base. The other side is quadruple the base. What are

Step2247 [10]

The three sides of the triangles are 11 cm, 22cm, and 44cm.

<h3>What is the perimeter of a triangle?</h3>

The perimeter of the triangle can be calculated by the sum of all the three sides of the triangle.

A triangle has a perimeter of 77 cm.

Let the side of the triangle be x, y, and the base z.

One side of the triangle is double the base.

x = 2z

The other side is quadruple the base.

y = 4z

The perimeter

X + y + z = 77

2z + 4z + z = 77

7z = 77

z = 11

So, the length of base z is 11 cm.

The other sides as

x = 22

y = 44

Therefore,The three sides of the triangles are 11 cm, 22cm, and 44cm.

Learn more about triangle here;

brainly.com/question/15107373

#SPJ1

7 0

2 years ago

What is the surface area of each triangular prism?

SOVA2 [1]

the surface area of the above triangular prism is 156 square inches.

Step-by-step explanation:

multiply the sum of the triangle sides by the height of the prism and add the values together for the answer, remembering to include the correct unit of measurement.

8 0

3 years ago

Taber invested money in an account where interest is compounded every year. He made no withdrawals or deposits. The function A(t

ioda

Taber invested money in an account where interest is compounded every year. He made no withdrawals or deposits.

The function A(t) = 525(1 + 0.05)t represents the amount of money in the account after t years.

The function is explained as below

Amount = Principal * ( 1 + interest rate ) ^ time

Principal is the amount that is invested in the beginning

Therefore, Taber originally invested $525

3 0

3 years ago

Finley makes one batch of orange paint using 5 years of yellow paint and beavers in red paint if there's 15 L of rep and how man

stira [4]

Given :

Finley makes one batch of orange paint using 5 L of yellow paint.

To Find :

How many batches of orange paint she can make using 15 L of yellow paint.

Solution :

We need to find how many batches of orange paint she can make using 15 L of yellow paint.

Now , 1 batch requires 5 L of yellow paint .

So , 15 L of paint will make 3 batches .

Let , number of batches be N .

$N=1 \times\dfrac{15}{5}\ batches\\\\N=3\ batches$

Therefore, number of batches produced is 3 .

Hence, this is the required solution .

4 0

3 years ago