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3 years ago

The formula for the slope of a line passing through the points (x₁, y₁) and (x₂, y₂) is m=?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

3 0

The formula to find the slope of a line is $\frac{y_{2} - y_{1}}{x_{2}-x_{1}}$ .

I'm not sure if my fraction looks right, so I'll add it in a separate attachment too.

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I don't understand rational and irrational numbers

PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.

$\dfrac{7}{16} \ as \ a \ decimal = 0.4375$

$Set \ up \ the \ long \ division.$

$Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.

$

$Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.

$

$Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.

$

$Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 80 \div 16, which \ is \ 5. 
$

$Decimal = 0.4375
$

4 0

2 years ago

valerie has 8 blue markers and 10 green markers. she has 2 times as many red markers as blue and green markers combined. which d

aleksley [76]

This question means the than (8 + 10) x 2 = red markers. She has 32 red markers, 8 blue markers, and 10 green markers. If you add them all up, you get 50 markers.

7 0

3 years ago

Abigail rides her bike with a constant speed of 12 miles per hour. How far can she travel in 45 minutes?

ohaa [14]

If she rides at 12 miles per hour, we know that 45 minutes is three quarters of an hour, therefore just workout:

3/4 x 12 = 9

So she would travel 9 miles in 45 minutes.

7 0

3 years ago

Read 2 more answers

Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha

Alex_Xolod [135]

Answer:

a)Null hypothesis: $\mu =40$

Alternative hypothesis: $\mu \neq 40$

b) A Type of error I is reject the hypothesis that $\mu$ is equal to 40 when is fact $\mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu$ , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

$\bar X=43$ represent the sample mean

$\mu$ population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:

Null hypothesis: $\mu =40$

Alternative hypothesis: $\mu \neq 40$

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that $\mu$ is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

5 0

3 years ago

Read 2 more answers

1. What is the constant of proportionality, k, of Kevin's wage? Greg's? Savannah's?

Gala2k [10]

Answer:

Part a) The constant of proportionality of Kevin's wage is $k=\$8.25\ per\ hour$