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2 years ago

What is the slope of the line?

Mathematics

1 answer:

Alexxx [7]2 years ago

4 0

Answer:

Should be, (-3,5) (if rise over run aka y,x)

Step-by-step explanation:

When attempting to find a slope like this, you need to locate pretty points. Pretty points are any time the line meets an exact corner on the box. If you look at -3,1, you can see the line makes a pretty point there. Then, try to find the next one, which is at 2,-3. Once you found these pretty points, try to connect them by drawing a line towards each other THAT IS STRAIGHT until those intersect. Where they intersect is where the slope of the line is. In this case, when I drew the line, they met at down three, over (right) 5.

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Use the Euclidean Algorithm to compute the greatest common divisors indicated. (a) gcd(20, 12) (b) gcd(100, 36) (c) gcd(207, 496

coldgirl [10]

Answer:

(a) $gcd(20, 12)=4$

(b) $gcd(100, 36)=4$

(c) $gcd(496,207 )=1$

Step-by-step explanation:

The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.

The Euclidean algorithm solves the problem:

Given integers $a, b$ , find $d=gcd(a,b)$

Here is an outline of the steps:

Let $a=x$ , $b=y$ .
Given $x, y$ , use the division algorithm to write $x=yq+r$ .
If $r=0$ , stop and output $y$ ; this is the gcd of $a, b$ .
If $r\neq 0$ , replace $(x,y)$ by $(y,r)$ . Go to step 2.

The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.

Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:

Step 1: Subtract D from N repeatedly.

Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.

(a) To find $gcd(20, 12)$ we apply the Euclidean algorithm:

$20 = 12\cdot 1 + 8\\ 12 = 8\cdot 1 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(20, 12)=4$ .

(b) To find $gcd(100, 36)$ we apply the Euclidean algorithm:

$100 = 36\cdot 2 + 28\\ 36 = 28\cdot1 + 8\\ 28 = 8\cdot 3 + 4\\ 8 = 4\cdot 2 + 0$

The process stops since we reached 0, and we obtain $gcd(100, 36)=4$ .

(c) To find $gcd(496,207 )$ we apply the Euclidean algorithm:

$496 = 207\cdot 2 + 82\\ 207 = 82\cdot 2 + 43\\ 82 = 43\cdot 1 + 39\\ 43 = 39\cdot 1 + 4\\ 39 = 4\cdot 9 + 3\\ 4 = 3\cdot 1 + 1\\ 3 = 1\cdot 3 + 0$

The process stops since we reached 0, and we obtain $gcd(496,207 )=1$ .

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2 years ago

10) In a neighborhood 60% of the houses have a garage and a fenced in backyard. Given that 80% of the houses in the neighborhood

steposvetlana [31]

75% of the houses would have a garage and a fence

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2 years ago

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Solve for x. Please help

ch4aika [34]

Answer: C. x = 1
(WORK SHOWN BELOW)

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2 years ago

A UW Madison professor is interested in learning about the variance of grades for university students. The professor gathers the

Andru [333]

Answer:

A) H0 : μ = 100

H1 : μ < 100

B) 39.2

C) We fail to reject null hypothesis

D) If the professor increases the sample size the value of the test statistic will increase .

Step-by-step explanation:

sample variance ( s ) = 80

sample size = 50

At ∝ = 0.01 population variance ( σ ) < 100

a) Hypothesis

H0 : μ = 100 ( Null hypothesis )

H1 : μ < 100 ( Alternate hypothesis )

b) Determine The correct test statistic

x^2 = ( n-1 ) * s^2/σ^2

= ( 49 ) * 80^2 / 100^2

= 39.2

C) Determine the conclusion of the test

The P-value = 0.1596 ( calculated )

The conclusion of the test is that we fail to reject null hypothesis given that

P-value ( 0.1596 ) > ∝ ( 0.01 )

D) If the professor increases the sample size the value of the test statistic will increase .

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2 years ago

What is the answer to 1\2÷3

nexus9112 [7]

Answer:

1/6

Step-by-step explanation:

1/2÷3

1/2×1/3

1×1/2×3

1/2×3

1/6

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3 years ago

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What is the slope of the line? ​

What is the slope of the line?