Ask question

Ask question

All categories

3 years ago

13

To win the small county lottery, one must correctly select 3 numbers from 30 numbers. the order in which the selection is made d

oes not matter. how many different selections are possible?

1 answer:

scoray [572]3 years ago

7 0

3 x30=90 so there are 90 possible answers

You might be interested in

Mr. Mole left his burrow and started digging his way down.

Feliz [49]

Answer:

He's descending at a pace of 2.3 meters per minute.

Step-by-step explanation:

This is because the equation shows us the slope or the speed he's going at.

A= -2.3t - 7

A= Altitude

-2.3 = Slope

- 7 is his starting altitude in meters

But every minute, t, he is going down 2.3 meters. It's easier to think about if you consider, A = y, and, t = x. Now you have the equation, y = -2.3x - 7.

And you graph it to see the progression in slope.

4 0

3 years ago

Find the equation of the linear function x 1 2 3 4 y 6 9 12 15

vredina [299]

Answer:

The equation of the linear function is y = 3x + 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope

b is the y-intercept

The rule of the slope is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

∵ A line passes through points (1, 6) and (2, 9)

∴ x1 = 1 ad y1 = 6

∴ x2 = 2 and y2 = 9

→ Use the rule of the slope above to find the slope of the line

∵ m = $\frac{9-6}{2-1}$ = $\frac{3}{1}$ = 3

∴ m = 3

→ Substitute the value of m in the form of the equation above

∴ y = 3x + b

→ To find b substitute x and y in the equation by the coordinates of any

point on the line

∵ x = 1 and y = 6

∴ 6 = 3 (1) + b

∴ 6 = 3 + b

→ Subtract 3 from both sides

∵ 6 - 3 = 3 - 3 + b

∴ 3 = b

→ Substitute the value of b in the equation above

∴ y = 3x + 3

∴ The equation of the linear function is y = 3x + 3

3 0

3 years ago

Let's compare the scientific notation representation of two of these numbers. 0.0000004 = 4.0 x 10 ⁻⁷ and 1,080,000,000 = 1.08 x

tamaranim1 [39]

Answer:

Step-by-step explanation:

Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.

The numbers are written as a product:

a * 10ⁿ

where:

a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number.
n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it shifts to the left, negative if it shifts to the right.

Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10

Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.

7 0

3 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

irakobra [83]

Answer:

We need a sample size of at least 383.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

85% confidence level

So $\alpha = 0.15$ , z is the value of Z that has a pvalue of $1 - \frac{0.15}{2} = 0.925$ , so $Z = 1.44$ .

How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 85% confidence level with an error of at most 0.03

We need a sample size of at least n.

n is found with $M = 0.03, \pi = 0.21$

Then

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.44\sqrt{\frac{0.21*0.79}{n}}$

$0.03\sqrt{n} = 1.44\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.44\sqrt{0.21*0.79}}{0.03}$

$(\sqrt{n})^{2} = (\frac{1.44\sqrt{0.21*0.79}}{0.03})^{2}$

$n = 382.23$

Rounding up

We need a sample size of at least 383.

6 0

3 years ago

The graph of f passes through left parenthesis negative 4 comma 3 right parenthesis(−4,3) and is perpendicular to the line that

shusha [124]

Answer:

The answer to your question is y = -11/2x - 19

Step-by-step explanation:

Data

Point (-4, 3)

⊥ to the line x- intercept of 22 and y-intercept of -4.

Process

1.- Find the equation of the perpendicular line

This line has passes through the points (22, 0) and (0, -4)

Slope = $\frac{-4 - 0}{0 - 22} = \frac{-4}{-22} = \frac{2}{11}$

2.- Find the slope of the new equation

Slope = $\frac{-11}{2}$ because the lines are perpendicular

3.- Find the equation of the new line

y - 3 = -11/2 (x + 4)

y - 3 = -11/2x - 44/2

y - 3 = -11/2 x - 22

y = -11/2 x - 22 + 3

y = -11/2x - 19

See the graph below

4 0

3 years ago