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3 years ago

Find the slope of the line through the pair of points. (6, 12) and (–6, –2)

1 answer:

4 0

Slope of betewen points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1)

(6,12)
(-6,-2)
x1=6
y1=12
x2=-6
y2=-2

slope=(-2-12)/(-6-6)=-14/-12=7/6
slope=7/6

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Increase £64 by 70%??????

olya-2409 [2.1K]

I'm not sure if you used the euro sign accidentally or what but this is how to increase 64 by 70%

divide 64 by 10.
6.40
then multiply it by 7.
44.80
then add 44.8 to your original number. (64)
the answer is:
108.8

If you did put that sign there purposely and if it means something then I don't know if it matters or if this is right.

8 0

3 years ago

Fill In The Blank

sweet [91]

900 gallons because 300 is burned every hour so 300 x 3 hours is 900

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4 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)

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