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jeka57 [31]
2 years ago
14

The scatter plot shows the amount of sleep Aria got the night before a test and her test scores. Use the points (0, 62) and (6,

80) from the line on the scatter plot. What is the equation of the trend line?
Mathematics
1 answer:
Minchanka [31]2 years ago
5 0

Answer:

y = 3x + 62

Step-by-step explanation:

Using the points :

(0, 62) and (6, 80)

Equation of trend line is in the form:

y = mx + c

Where m = slope ; c = intercept

Slope (m) = (y2 - y1) / (x2 - x1)

m = (80 - 62) / (6 - 0)

m = 18 / 6

m = 3

Intercept, c = value of y when x = 0

From (0, 62)

x = 0 ; y = 62

Then c = 62

Hence,

y = 3x + 62

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Please help and work please
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The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.3 days and a standard de
inna [77]

Answer:

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given mean of the Population μ = 5.3 days

Given standard deviation of the population 'σ' = 2 days

Let 'X' be the random variable in normal distribution

Let    x₁ = 4

Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{4-5.3}{2} = -0.65

Let    x₂ = 7

Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{7-5.3}{2} = 0.85

<u><em>Step(ii):-</em></u>

<u><em>The probability of spending between 4 and 7 days in recovery</em></u>

<em>P(4≤x≤7) = P(-0.65≤Z≤0.85)</em>

<em>              =  P(Z≤0.85) - P(Z≤-0.65)</em>

<em>             = 0.5 + A( 0.85) - ( 0.5 - A(-0.65) </em>

<em>             = 0.5 + A( 0.85) -  0.5 +A(0.65)   ( ∵A(-0.65) = A(0.65)</em>

<em>            =   A(0.85) + A(0.65)</em>

<em>           = 0.3023 + 0.2422</em>

<em>          = 0.5445</em>

<u><em>Final answer:</em></u><em>-</em>

<em>The probability of spending between 4 and 7 days in recovery</em>

<em>P(4≤x≤7) = 0.5445</em>

<em>            </em>

6 0
3 years ago
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tester [92]

Hello there!

Answer: ⇒ C. -30

_________________________________________________________

Step-by-step explanation:

First you had to remove parenthesis.

-7*4-|-6|+|4|

Then you multiply by the number.

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Apply absolute value.

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Again apply absolute value.

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Simplify it's should be the correct answer.

=-30

________________________________________________________________

Hope this helps!

Thank you for posting your question at here on brainly.

Have a great day!

-Charlie

_____________________________________________________

8 0
3 years ago
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