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2 years ago

Two positive numbers have a difference of 8 and a product of 33. What are these numbers?

Mathematics

2 answers:

OleMash [197]2 years ago

7 0

11-3 = 8
11×3 = 33

the two numbers are 11 and 3

posledela2 years ago

5 0

When two positive numbers have a difference of 8 and a product of 33, the numbers are 11 and 3.

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Create an equation to show how to solve this problem: Thomas rented 2 bicycles, which were late for return by 6 days. His fine f

Zinaida [17]

<span>Thomas rented 2 bicycles, which were late for return by 6 days. His fine for being late was 18$. If the fine for being late is count by multiplying the number of bicycles with the duration of the late, the answer would be:

fine = number of bicycle * duration of late
$18 =fine rate* 2 bicyles * 6 days
fine rate= (($18/ 2 bicyles) / 6 days) = $0.66 /bicycle days</span>

6 0

3 years ago

Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean

ExtremeBDS [4]

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that $\mu = 6$

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

$P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606$

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

8 0

2 years ago

The circumference of circle 1 is 16 pi units. The circumference of circle 2 is 6 pi units. Which of the following is true about

Yanka [14]

Answer:

Area of Circle 1=>64(pi) units^2

Area of Circle 2=>9(pi) units^2

Step-by-step explanation:

Circumference=2(pi)r

Circle 1: 2(pi)r=16(pi)

Divide by 2(pi) on both sides

r=8 units

Area=(pi)r^2

Area of circle 1=>(pi)*(8^2)

Area of Circle 1=>64(pi) units^2

Circle 2: 2(pi)r=6(pi)

Divide by 2(pi) on both sides

r=3 units

Area=(pi)r^2

Area of circle 2=>(pi)*(3^2)

Area of Circle 2=>9(pi) units^2

3 0

2 years ago

(05.05)

Natalka [10]

Y greater than or equal to -7

3 0

3 years ago

Read 2 more answers

A particle begins at point (1, 2) and is moving along the line segment joining (1, 2) to (3, 4). Initially, what is the rate of

Bumek [7]

Answer:

Initially, that is, at (1,2), the rate of increase of the function in the direction given = 0

Hence the function is neither increasing nor decreasing initially in the given direction.

Step-by-step explanation:

f(x,y) = 2x² - y²

Rate of Change of the function = ∇f = (fₓ, fᵧ)

And we're told to find the rate of change in a particular direction = ∇f.û

We first obtain the unit vector in that direction, û

Direction = (3,4) - (1,2) = (2,2)

Uni vector = vector/magnitude

Vector = 2î + 2j

magnitude = √(2² + 2²) = √8 = 2 √2

(2î + 2j)/(2√2) = (1/√2)î + (1/√2)j = û

Unit vector in the direction = (1/√2, 1/√2)

f = 2x² - y²

At (1,2)

fₓ = ∂f/∂x = 4x = 4

fᵧ = ∂f/∂y = -2y = -4

∇f = (4,-4)

∇f.û = (4î - 4j).((1/√2)î + (1/√2)j) = (4/√2) - (4/√2) = 0

If it was positive, then the function is increasing, if it was negative, the function is decreasing. Zero means neither of them.

Hence the function is neither increasing nor decreasing initially in the given direction.

7 0

2 years ago