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otez555 [7]
2 years ago
13

Which statement BEST explains the relationship between lines GF & HJ?

Mathematics
1 answer:
Pavel [41]2 years ago
6 0

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Since, blue line is passing through two points (-4, -2) and (0, 4),

Slope of the blue line = \frac{4+2}{0+4}

                                    = \frac{3}{2}

Similarly, green line is passing through two points (-4, 1) and (0, -2),

Slope of the green line = \frac{1+2}{-4-0}

                                       = -\frac{3}{4}

Since, \frac{3}{2}\neq -\frac{3}{4}

Neither these slopes are opposite reciprocals.

Therefore, both the lines are neither parallel nor perpendicular.

Option (4) will be the correct option.

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3 years ago
The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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 = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

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

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

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

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
Which values of P and Q result in an equation with no solutions?
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Try this solution/explanation:

<u>way 1</u>:

rule: for an equation where no roots P+Q=0. It means, Px-Qx=0, ⇔ x(P-Q)=0, ⇔ P=Q.

for answer 'D' P=Q=15.

<u>way 2</u>:

rule: if an equation of the line has a form y=kx+b, then y₁||y₂ if k₁=k₂. It means, for y₁=Px-45 || y₂=Qx+75, then P=Q. P=Q, if 'D' answer.

Answer: D

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3 years ago
a diagonal of a convex polygon is a line segment whose end points are the consecutive vertices of the polygon.say true or false​
AysviL [449]

Answer:

Step-by-step explanation:

False. Diagonals of a convex polygon is a line segment that joints two non adjacent vertices.

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Gail practices swimming for 1 and 1 fourth hours swimming every day how much time does she practice in a week
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In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).
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