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ollegr [7]
3 years ago
8

What is the appropriate equation used that would solve for x

Mathematics
2 answers:
KonstantinChe [14]3 years ago
4 0

Answer:

E) 6x - 10 = 4x + 20

Step-by-step explanation:

In this type of picture, the opposite angles are congruent (they equal the same)

So the right equation would be 6x - 10 = 4x + 20, or E

HACTEHA [7]3 years ago
4 0

Answer:

fsuh

Step-By-Step Explanation:

mm

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Polly's Polls asked 1850 second-year college students if they still had their original major. According to the colleges, 65% of
suter [353]

Answer:

The probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424

Step-by-step explanation:

The variable that assigns the value 1 if a person had its original major and 0 otherwise is a Bernoulli variable with paramenter 0.65. Since she asked the question to 1850 people, then the number of students that will have their original major is a Binomial random variable with parameters n = 1850, p = 0.65.

Since the sample is large enough, we can use the Central Limit Theorem to approximate that random variable to a Normal random variable, which we will denote X.

The parameters of X are determined with the mean and standard deviation of the Binomal that we are approximating. The mean is np = 1850*0.65 = 1202.5, and the standard deviation is √np(1-p) = √(1202.5*0.35) = 20.5152.

We want to know the probability that X is between 0.64*1850 = 1184 and 0.66*1850 = 1221 (that is, the percentage is between 64 and 66). In order to calculate this, we standarize X so that we can work with a standard normal random variable W ≈ N(0,1). The standarization is obtained by substracting the mean from X and dividing the result by the standard deviation, in other words

W = \frac{X-\lambda}{\sigma} = \frac{X-1202.5}{20.5152}

The values of the cummulative function of the standard normal variable W, which we will denote \phi are tabulated and they can be found in the attached file.

Now, we are ready to compute the probability that X is between 1184 and 1221. Remember that, since the standard random variable is symmetric through 0, then \phi(-z) = 1-\phi(z) for each positive value z.

P(1184 < X < 1221) = P(\frac{1184-1202.5}{20.5152} < \frac{X-1202.5}{20.5152} < \frac{1221-1202.5}{20.5152})\\ = P(-0.9018 < W < 0.9018) = \phi(0.9018) - \phi(-0.9018) = \phi(0.9018)-(1-\phi(0.9018))\\ = 2\phi(0.9018)-1 = 2*0.8212-1 = 0.6424

Therefore, the probability that Polly's Sample will give a result within 1% of the value 65% is 0.6424.

Download pdf
4 0
3 years ago
Please help me to solve this problem<br>​
faust18 [17]

Answer:

\sqrt{3} + \frac{5\sqrt{3} }{6}

Step-by-step explanation:

tan(30°) = \frac{\sqrt{3}}{3}

cot(30°) = \sqrt{3}

sin(60°) = \frac{\sqrt{3}}{2}

\frac{\sqrt{3} }{3} +\sqrt{3} +\frac{\sqrt{3}}{2}  = \sqrt{3} +\frac{5\sqrt{3} }{6}

3 0
3 years ago
Read 2 more answers
HELP DO NOT UNDERSTAND THIS QUESTION AT ALL THE BEST ONE WILL BE MARKED AS BRAINLIEST
Murrr4er [49]

Step-by-step answer:

A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:

(y-y0) = m(x-x0)  ......................(1)

Here,

(x0,y0) = (1,7), and

slope/gradient = -2

Substitute values into (1) above gives

(y-7)=2(x-1)

Expand and simplify

y-7 = 2x-2

y =2x -2 + 7

y=2x+5

is the final answer.

5 0
3 years ago
Round to the nearest tenth (TIMED PLEASE help!!!)
vredina [299]

Answer:

A = 180 - (90 + 72) \\  A= 18° \\  \\ from \: pythogoras \\ a = 3.4 \\ b = 10.5

4 0
3 years ago
Please help me with this question, thank you and explain!!!
Novosadov [1.4K]

Total distance from w to z is -10 to 6 = 16

Add the ratios: 2 + 3 + 3 = 8

Divide distance by total ratio: 16/8 = 2

Multiply each ratio by 2 : 2x 2 = 4, 3 x 2 = 6, 3 x 2 = 6

WX is 4 units apart, add 4 to -10 to get x = -6

Answer: A. -6

5 0
2 years ago
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