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2 years ago

Find the value of r in (4,r),(r2) so that the slope of the line containing them is -5/3 A.-1/7 B-7. C 1/7 D. 7

Mathematics

2 answers:

inessss [21]2 years ago

4 0

Answer:

Option D (7).

Step-by-step explanation:

The formula for gradient of the straight line is given by:

m = (y2 - y1)/(x2 - x1); where (x1, y1) and (x2, y2) are two fixed points on the straight line. It is given that (x1, y1) = (4, r) and (x2, y2) = (r, 2). The gradient of the straight line is given by -5/3. To find the value of r, simply substitute all the values in the gradient equation. Therefore:

-5/3 = (2 - r)/(r - 4).

Cross Multiplying:

-5*(r - 4) = 3*(2 - r).

-5r + 20 = 6 - 3r.

-2r = -14.

r = 7.

Therefore, Option D is the correct answer!!!

bonufazy [111]2 years ago

3 0

Answer:

Option D (7).

Step-by-step explanation:

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Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Assume that 33.4% of people have sleepwalked. Assume that in a random sample of 1459 adults, 526 have sleepwalked.

lutik1710 [3]

Answer:

Step-by-step explanation:

Given that 33.4% of people have sleepwalked.

Sample size n =1459

Sample favourable persons = 526

Sample proportion p = $\frac{526}{1459} \\=0.361$

Sample proportion p is normal for large samples with mean = 0.334 and

std error = $\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.334(1-0.334)}{1459} } \\=0.0123$

a) P(526 or more of the 1459 adults have sleepwalked.)

$=P(p\geq 0.361)\\=P(Z\geq \frac{0.361-0.334}{0.0123} \\=P(Z\geq 2.20)\\=0.5-0.4861\\=0.0139$

b) Yes, because hardly 1.4% is the probability

c) 33.4 is very less compared to the average. Either sample should be improved representing the population or population mean should be increased accordingly.

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3 years ago

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Answer:

128

Step-by-step explanation:

32 x 4 = 128

32 + 32 + 32 + 32 = 128

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