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3 years ago

Find the distance between the points (-3, 9) and (6, -5). Round the answer to the nearest tenth.

Mathematics

2 answers:

DochEvi [55]3 years ago

8 0

Answer:

16.6

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

kow [346]3 years ago

3 0

Answer:

Step-by-step explanation:

Given are two points say A(-3,9) and B (6,-5)

We are asked to find the distance between these two points

i.e. we have to measure the length of line segment AB.

Distance between two points = $\sqrt{(x_2-x_1)^2 +(y_2-y_1)^2} \\=\sqrt{9^2+(-14)^2} \\==\sqrt{81+196} \\=\sqrt{277} \\=16.64$

Round off to nearest tenth to get

distance =16.6

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12x + 3(x - 4) + 2x *<br> Your answer

AleksandrR [38]

Step-by-step explanation:

12x + 3(x - 4) + 2x

17x-12

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3 years ago

HELP <br><br> What is the equation of the trend line in the scatter plot ?

Sergeu [11.5K]

Answer:

y=-x+8

Step-by-step explanation:

Slope = (y₂-y₁)/(x₂-x₁) = (1-8)/(7-0) = -7/7 = -1

Y-intercept = (0,8)

Therefore, the equation of the trend line is y=-x+8

6 0

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

HOW DO I DO DIS????????

Reika [66]

Answer:

I don't really know what is that?

3 0

3 years ago

Use the Pythagorean Theorem to find the distance between the following pair of points.C = (-10, 2), D = (-7, 6)

hoa [83]

Distance between C and D =sr( (-7 - -10)^2 + (6 - 2)^2) = sr(3^2 + 4^2) = sr(9 + 16) = sr(25) = 5 units

6 0

3 years ago