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2 years ago

The expression 6(x − 5) means

Mathematics

1 answer:

nordsb [41]2 years ago

4 0

Answer:

6x - 30

Step-by-step explanation:

you do x-5 6 times

it could also be a word explanation

the value of x minus 5 and the result multiplied by 6

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Question 1. Please help, What is the measure of ∠D?

erastova [34]

Step-by-step explanation:

It is 28°

Because both triangles FED and ABC are right (converse of pythagorean theorem)

Also the lengths of the side of the triangle ABC is double the lengths of the side of the other triangle

You calculate the measure of the angle ∠A in triangle ABC which is 28° (by calculation)

This will also be the measure of angle D

I'm not sure if it is right but hopefully it will help you.

8 0

3 years ago

Renee is creating a rectangular garden in her backyard. The length of the garden is 8 feet. The perimeter of the garden must be

WARRIOR [948]

Answer: One width of the garden can be 3.8 feet.

Step-by-step explanation: To find the perimeter of the garden, multiply the length by the width. Our width is 3.8 feet and our length is 8 feet.

3.8 x 8 = 30.4 feet.

The perimeter could be 30.4 feet because the garden is at least 30 feet and no more than 32 feet.

So, a width of 3.8 feet would work.

7 0

2 years ago

25 more than a number is 32

MAVERICK [17]

That is very true good job learning

6 0

3 years ago

A Geiger counter counts the number of alpha particles from radioactive material. Over a long period of time, an average of 14 pa

UkoKoshka [18]

Answer:

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

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.

Over a long period of time, an average of 14 particles per minute occurs. Assume the arrival of particles at the counter follows a Poisson distribution. Find the probability that at least one particle arrives in a particular one second period.

Each minute has 60 seconds, so $\mu = \frac{14}{60} = 0.2333$

Either no particle arrives, or at least one does. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

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

$P(X = 0) = \frac{e^{-0.2333}*(0.2333)^{0}}{(0)!} = 0.7919$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7919 = 0.2081$

0.2081 = 20.81% probability that at least one particle arrives in a particular one second period.

8 0

3 years ago

How long will it take for the balance of an account to double if the savings account earns 0.75% annual interest compounded mont

spin [16.1K]

Let the amount deposited (principal) be x, then the amount after the required time = 2x.
A = P(1 + r/n)^nt: where A is the future value = 2x, P is the principal = x, r is the rate = 0.75%, n is the number of accumulation in a year = 12, t is the number of years.

2x = x(1 + 0.0075/12)^12t
2 = (1 + 0.000625)^12t
log 2 = 12t log (1.000625)
log 2 / log (1.000625) = 12t
1109.38 = 12t
t = 92 years

4 0

3 years ago