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3 years ago

We assume that the outcomes of successive trials in a binomial experiment are

Mathematics

1 answer:

NeTakaya3 years ago

6 0

The correct answer is:

Independent.

Explanation:

The criteria for binomial experiments are:

A fixed number of trials.;

Each trial is independent of the others.;

There are only two outcomes; and

The probability of each outcome remains constant from trial to trial.

This means the outcomes are constant and independent.

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One number exceeds another by 26. the sum of the numbers is 58. what are the numbers

Gnom [1K]

First number = X

second number = x +26 ( exceeds means higher so add 26)

x + x+26 = 58

combine like terms:

2x + 26 = 58
subtract 26 from each side:

2x = 58-26

2x = 32

divide both sides by 2:
x = 32/2
x = 16

first number is 16
second number = 16+26 = 42

5 0

3 years ago

Factor the trinomial: 2x^2+15x+25 PLEASE HELP MEH

Savatey [412]

Answer:

(2x + 5) ( x + 5)

Step-by-step explanation:

2x² + 15 + 25

2x² + 10x + 5x + 25

2x( x + 5) + 5( x + 5)

(2x + 5) (x + 5)

3 0

4 years ago

Read 2 more answers

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of

professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

The first car consumes 20 gallons of fuel.

The second car consumes 30 gallons of fuel.

Reasons:

Fuel efficiency of the first car = 15 miles per gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let x represent the number of gallons consumed by the first car, and let y

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

15·x + 35·y = 1,350...(1)

x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

The number of gallons consumed by the first car, x = 20 gallons

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

The number of gallons consumed by the second car, y = 30 gallons

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0

2 years ago

Sarah needs 30 liters of a 25% acid solution how many liters of the 10% and the 30% acid solutions should she mix to get what sh

sweet-ann [11.9K]

Answer:

7.5 L of 10% solution and 22.5 L of 30% solution

Step-by-step explanation:

Volume of 10% solution plus volume of 30% solution = total volume of 25% volume.

x + y = 30

Acid in 10% solution plus acid in 30% solution = total acid in 25% solution.

0.10 x + 0.30 y = 30 × 0.25

0.10 x + 0.30 y = 7.5

Solve the system of equations, using either substitution or elimination. I'll use substitution:

x = 30 − y

0.10 (30 − y) + 0.30 y = 7.5

3 − 0.10 y + 0.30 y = 7.5

0.20 y = 4.5

y = 22.5

x = 30 − y

x = 7.5

Sarah needs 7.5 L of 10% solution and 22.5 L of 30% solution.

8 0

3 years ago

Read 2 more answers

Arrange these numbers in increasing order: 216,000,000, 2.2 × 10 to the 3rd power, 3.1 × 10 to the 7th power, 310,000

ziro4ka [17]

216,000,000
2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
310,000

Increasing order:
2,200 , 310,000 , 216,000,000 , 31,000,000

So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, 216,000,000, 3.1 × 10 to the 7th power

7 0

3 years ago