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2 years ago

A line passes through the points (0,5) and (3,6). What is its equation in slope-intercept

Mathematics

1 answer:

alexandr402 [8]2 years ago

8 0

Answer:

y = 1/3x + 5

Step-by-step explanation:

Slope = (change in y)(change in x)

Slope = (6 - 5)/(3 - 0)

Slope = 1/3

Substitute m = 1/3 and one given ordered pair into y = mx + b. using (3, 6)

y = mx+ b

6 = 1/3(3) + b

6 = 1 + b

5 = b

the equation is y = 1/3x + 5

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Suppose that the weights of passengers on a flight to Greenland on Frigid Aire Lines are normal with mean 175 pounds and standar

Natali5045456 [20]

Answer:

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 175, \sigma = 22$

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?

90th percentile

The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So

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

$1.28 = \frac{X - 175}{22}$

$X - 175 = 22*1.28$

$X = 203.16$

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

6 0

3 years ago

*PLS HELP

n200080 [17]

Answer:

y = 3x +4

Step-by-step explanation:

The equation for the parallel line will have the same x- and y-coefficients, but a different constant. You can put the given point values into the equation to see what the constant needs to be:

y = 3x + b

10 = 3·2 + b . . . . . . substitute x=2, y=10

4 = b . . . . . . . . . . . . subtract 6

The equation of the line is ...

y = 3x +4

3 0

3 years ago

Find the circum center of a triangle whose vertices are (-2, -1) , (-1, 6 ) and (2, 7).

lina2011 [118]

Answer:

(-1/3; 4)

Step-by-step explanation:

(-2, -1) , (-1, 6 ) and (2, 7).

x=(-2-1+2)/3= -1/3

y=(-1+6+7)/3=12/3=4

=> (-1/3; 4)

7 0

4 years ago

Please I need the answer

Vedmedyk [2.9K]

Answer:

x=4

Step-by-step explanation:

Simplifying

2(6x + 4) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

2(4 + 6x) + -6 + 2x = 3(4x + 3) + 1

(4 * 2 + 6x * 2) + -6 + 2x = 3(4x + 3) + 1

(8 + 12x) + -6 + 2x = 3(4x + 3) + 1

Reorder the terms:

8 + -6 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 8 + -6 = 2

2 + 12x + 2x = 3(4x + 3) + 1

Combine like terms: 12x + 2x = 14x

2 + 14x = 3(4x + 3) + 1

Reorder the terms:

2 + 14x = 3(3 + 4x) + 1

2 + 14x = (3 * 3 + 4x * 3) + 1

2 + 14x = (9 + 12x) + 1

Reorder the terms:

2 + 14x = 9 + 1 + 12x

Combine like terms: 9 + 1 = 10

2 + 14x = 10 + 12x

Solving

2 + 14x = 10 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.

2 + 14x + -12x = 10 + 12x + -12x

Combine like terms: 14x + -12x = 2x

2 + 2x = 10 + 12x + -12x

Combine like terms: 12x + -12x = 0

2 + 2x = 10 + 0

2 + 2x = 10

Add '-2' to each side of the equation.

2 + -2 + 2x = 10 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 10 + -2

2x = 10 + -2

Combine like terms: 10 + -2 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying

x = 4

Hope it helps!

7 0

3 years ago

Read 2 more answers

Karen spent a total of $15.45 on a trip to the movies. She spent $5.00 on a daily bus pass, and $3.95 on movie snacks. How much

Vikentia [17]

Answer:

The answer is 24.4

Step-by-step explanation:

If you add 15.45, 5.00 and 3.95 you get 24.4

3 0

3 years ago

Read 2 more answers