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bezimeni [28]
3 years ago
5

A woman prospecting for successful business travels 16km from a point P to a point Q on a bearing of 065°. She then travels to p

oint R, a distance 12km on a bearing 325°. Calculate PR
Mathematics
1 answer:
SashulF [63]3 years ago
8 0

Answer:

The distance PR is 21.6 Km

Step-by-step explanation:

Please find the attached document for explanation.

Also, I applied Cosine rule to determine the distance PR, since  i have an angle (Q) in between two given sides of the triangle.

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Please Help!!! Brainliest will be given!
inn [45]

Answer:

1. C. Yes, because a sum of cubes can be factored

2a. false

2b. false

2c. true

2d. false (based on what is written in the equation; refer to step-by-step)

Step-by-step explanation:

1.  Both 3 and 8 can be cubed, which is why x^3+8 can be factored (x+2)(x^2-2x+4)

2a. a^2-b^2 can be factored by the perfect square rule, so it should be (a-b)^2

2b. both terms are perfect squares, so you can factor, making it (a+b)(a-b)

2c. You can factor using the perfect square rule, making it (a+b)^2

2d. Most of what is in the equation is true, yet the correct solution would be (a-b)(a^2+ab+b^2)

3 0
3 years ago
The Food and Drug Administration (FDA) produces a quarterly report called Total Diet Study. The FDA’s report covers more than 20
pav-90 [236]

Using the normal approximation to the binomial, it is found that:

  • The mean of X is of 52 samples.
  • The standard deviation of X is of 4.2661 samples.
  • 0.0017 = 0.17% probability that less than half without any traces of pesticide.

--------------------------------

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, with mean given by:  

E(X) = np

And standard deviation of:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution  

Z-score formula is used, which, in a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • Each z-score has an associated p-value, which measures the percentile of measure X.

--------------------------------

  • 65% of samples had no pesticide, thus p = 0.65
  • 80 samples, thus n = 80

The mean of X is of:

E(X) = np = 0.65(80) = 52

The standard deviation of X is of:

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{80(0.65)(0.35)} = 4.2661

Using the approximation and continuity correction, the probability is P(X < 40 - 0.5) = P(X < 39.5), which is the p-value of Z when X = 39.5. Thus:

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

Z = \frac{39.5 - 52}{4.2661}

Z = -2.93

Z = -2.93 has a p-value of 0.0017, thus:

0.0017 = 0.17% probability that less than half without any traces of pesticide.

A similar problem is given at brainly.com/question/24261244

8 0
2 years ago
MAX POINTS!!!! Please help me solve the problem in the picture and tell me what I’m doing also explain each step.
lapo4ka [179]

Answer: j=0.4

-j+0.8=-0.9j+0.76

-j+0.8+0.9j=-0.9+0.76+0.9j

-0.1j+0.8=0.76

-0.1+0.8-0.8=0.76-0.8

-0.1j=-0.04

-0.1j/-0.1=-0.04/-0.1

j=0.4

Ya have a good day.

5 0
2 years ago
Read 2 more answers
Solve the equation for the indicated variable<br> x - 3y for y
Colt1911 [192]

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

7 0
3 years ago
If a 30 foot ladder is positioned so that the bottom of the ladder is 1/4 of its length away from the wall, how far up the wall
klio [65]

Answer:

7.5

Step-by-step explanation:

I divided 30 by 4 and got 7.5

3 0
3 years ago
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