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3 years ago

What is the slope of the line shown below (-2,5) and (3,-5)

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

$\bold{m=-2}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-2,\,5)\ \implies\ x_1=-2\,,\ y_1=5\\(3,\,-5)\ \implies\ x_2=3\,,\ y_2=-5\\\\m=\dfrac{-5-5}{3-(-2)}=\dfrac{-10}{3+2}=-\dfrac{10}5=-2$

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Ray Of Light [21]

Answer:

(53.812 ; 58.188) ; 156

Step-by-step explanation:

Given that :

Sample size (n) = 51

Mean (m) = 56

Standard deviation (σ) = 9.5

α = 90%

Using the relation :

Confidence interval = mean ± Error

Error = Zcritical * (standard deviation / sqrt (n))

Zcritical at 90% = 1.645

Error = 1.645 * (9.5 / sqrt(51))

Error = 1.645 * 1.3302660

Error = 2.1882877

Hence,

Confidence interval :

Lower boundary = 56 - 2.1882877 = 53.8117123

Upper boundary = 56 + 2.1882877 = 58.1882877

Confidence interval = (53.812 ; 58.188)

2.)

Margin of Error (ME) = 1.25

α = 90%

Sample size = ((Zcritical * σ) / ME)^2

Zcritical at 90% = 1.645

Sample size = ((1.645 * 9.5) / 1.25)^2

Sample size = (15.6275 / 1.25)^2

Sample size = 12.502^2 = 156.3000

Sample size = 156

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2 years ago

Find the rate of change from the given table.

Ymorist [56]

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If we solve h(x) = 36, one of the possible values of x is 1

Mademuasel [1]

Answer:

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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