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Svetlanka [38]
1 year ago
14

Complete the point-slope equation of the line through (8,-8)(8,−8)left parenthesis, 8, comma, minus, 8, right parenthesis and (9

,8)(9,8)left parenthesis, 9, comma, 8, right parenthesis.
Mathematics
1 answer:
yarga [219]1 year ago
3 0

Answer:

Point-slope equation of line is given by:

y-8=16(x-9)

Step-by-step explanation:

Given points:

(8,-8)\ and\ (9,8)

Point-slope equation of line is given by:

y-y_1=m(x-x_1)

Where (x_1,y_1) is a point on the line and m is slope of line.

Slope of line m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{8-(-8)}{9-8}

m=\frac{8+8}{1}

m=16

Using point (9,8) and slope m=16  point-slope equation of line is given by:

y-8=16(x-9)

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The numbers of doors that will have no blemishes will be about 6065 doors

Step-by-step explanation:

Let the number of counts by the  worker of each blemishes on the door be (X)

The distribution of blemishes followed the Poisson distribution with parameter  \lambda =0.5 / door

The probability mass function on of a poisson distribution Is:

P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}

P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}

The probability that no blemishes occur is :

P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}

P(X=0) = 0.60653

P(X=0) = 0.6065

Assume the number of paints on the door by q = 10000

Hence; the number of doors that have no blemishes  is = qp

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3 0
2 years ago
According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.3 ce
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Answer:

26.11% of women in the United States will wear a size 6 or​ smaller

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 23.3, \sigma = 1.4

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long. What percentage of women in the United States will wear a size 6 or​ smaller?

This is the pvalue of Z when X = 22.4. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{22.4 - 23.3}{1.4}

Z = -0.64

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2 years ago
Una fabrica produce 132 litros de yogurt diarios .Con 49 litros se llenan botellas de 0,25litros xada una y con el resto que que
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Answer:

z = 362\,botellas

Step-by-step explanation:

(This exercise has been presented in Spanish and for that reason explanation will be held in Spanish)

La cantidad de botellas de 0,25 litros que se llenan con 49 litros de yogurt es:

x = \frac{49\,L}{0.25\,\frac{L}{botella} }

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La cantidad remanente de yogurt es:

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