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3 years ago

Write the equation of the line that passes through the points (-3, - 5) and (-9,3). Express your answer in

Mathematics

1 answer:

Leokris [45]3 years ago

7 0

that's the answer

Step-by-step explanation:

$slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{3 - - 5}{ - 9 - - 3} = \frac{8}{ - 6} \\ \frac{y - 3}{x - - 9} = \frac{8}{ - 6} \\ - 6(y - 3) = 8(x - - 9) \\ - 6y + 18 = 8x + 72 \\ - 6y = 8x + 72 -18 \\ - 6y = 8x + 54 \\ \frac{ - 6y}{ - 6} = \frac{8x}{ - 6} + \frac{54}{ - 6} \\ y = \frac{8x}{ - 6} - 9$

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Can I get help on this

antoniya [11.8K]

Answer:

2/3

Step-by-step explanation:

Ratio is 2:3 since we have 6 and 9 for width. We can refer to 1:2:3 as 3:6:9, and apply the same thing for length 8 to where we have 4:8:12.

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4 years ago

5.82-1.76 rounded to the nearest whole number

umka2103 [35]

Answer:

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Step-by-step explanation:

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3 years ago

Example 1: Calculation of Normal Probabilities Using ????????-Scores and Tables of Standard Normal Areas The U.S. Department of

Molodets [167]

Answer:

i) 0.872

ii) 0.300

iii) 0.76

iv) 0.704

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $261.50 per month

Standard Deviation, σ = $16.25

We are given that the distribution of monthly food cost for a 14- to 18-year-old male is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(Less than $280)

$P( x < 280) = P( z < \displaystyle\frac{280 - 261.50}{16.25}) = P(z< 1.138)$

Calculation the value from standard normal z table, we have,

$P(x < 280) = 0.872 = 87.2\%$

b) P(More than $270)

P(x > 270)

$P( x > 270) = P( z > \displaystyle\frac{270 - 261.50}{16.25}) = P(z > 0.523)$

$= 1 - P(z \leq 0.523)$

Calculation the value from standard normal z table, we have,

$P(x > 270) = 1 - 0.700 = 0.300 = 30.0\%$

c) P(More than $250)

P(x > 250)

$P( x > 250) = P( z > \displaystyle\frac{250 - 261.50}{16.25}) = P(z > -0.707)$

$= 1 - P(z \leq -0.707)$

Calculation the value from standard normal z table, we have,

$P(x > 250) = 1 - 0.240 = 0.76 = 76.0\%$

d) P(Between $240 and $275)

$P(240 \leq x \leq 275) = P(\displaystyle\frac{240 - 261.50}{16.25} \leq z \leq \displaystyle\frac{275-261.50}{16.25}) = P(-1.323 \leq z \leq 0.8307)\\\\= P(z \leq 0.8307) - P(z < -1.323)\\= 0.797 - 0.093 = 0.704 = 70.4\%$

$P(240 \leq x \leq 275) = 70.4\%$

e) Thus, 0.704 is the probability that the monthly food cost for a randomly selected 14- to 18-year-old male is between $240 and $275.

5 0

3 years ago

PLEASE HELP

ICE Princess25 [194]

C. 20 / 4

20 represents how much time practicing in running has reduced her run time, and dividing by 4 weeks show the amount of seconds lowered per week (5 seconds).

3 0

4 years ago

At an opening of a new art gallery the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to

Vsevolod [243]

Answer: $357 is more amount budgeted for food increase.

Explanation:

Since we have given that

Number of people according to the budget = 150

Cost of food per person= $4.25

Total cost of food is given by

$150\times 4.25=\$637.5$