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3 years ago

What is the equation of the line in the following graph? 1)y=x+2

Mathematics

1 answer:

Levart [38]3 years ago

8 0

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (2, 0) and (-2, -4). Substitute:

$m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1$

Therefore we have the equation of a line

$y=1x+b\to y=x+b$

Put the coordinates of the point (2, 0) to the equation:

$0=2+b$ <em>subtract 2 from both sides</em>

$-2=b\to b=-2$

Answer: $\boxed{y=x-2}\to\boxed{3)}$

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A large bowl contains 10 small balls and each ball has a color and a number. The 10 balls are denoted by B1, B2, B3, B4, R1, R2,

nasty-shy [4]

Answer:

Size of N(S) = 90, or S=90

Step-by-step explanation:

So since there are 10 items:

Each single item has 9 possibilities to be paired with, since it is drawn without replacement, and 1 item can't be drawn again.

So : 10 items x 9 possibilites = array of 90

SO ANSWER : 90

Hope I helped :)

4 0

3 years ago

Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) No

Jlenok [28]

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

6 0

3 years ago

Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Co

lesantik [10]

In the case above, the option that one need to include in your answer is to Find a common denominator.

<h3>What is Fraction in lowest terms?</h3>

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

Learn more about Fraction from

brainly.com/question/78672

#SPJ1

8 0

2 years ago

Pls help with this question

andre [41]

Answer:

x<56

Step-by-step explanation:

Since the dot over 56 isn't filled in, the inequality doesn't include 56 (so we'll use < or > not $\leq$ or $\geq$ )

Now, let's look at the direction of the shading: is it going to the left of 56 or to the right?

This shading is to the left of 56, which indicates that it's all of the numbers less than 56.

As said above, the inequality doesn't include 56

therefore, it will be x<56 (x is less than 56, and 56 is not included)

hope this helps!

3 0

3 years ago

Read 2 more answers

The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa

Eduardwww [97]

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2. Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So: subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

7 0

3 years ago