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Lunna [17]
3 years ago
14

What are the terms or 8x+6

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

Answer:

14x. ....................

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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
Someone answer the whole thing fast plz
Brilliant_brown [7]

Answer:

y = 2x + 54

Step-by-step explanation:

slope of equation:

(y2-y1)/(x2-x1)

= (72-58)/(9-2)

= 14/7

= 2

y = 2x + b

58 = 2(2) + b

58 = 4 + b

b = 54

6 0
3 years ago
What is the volume of the right prism? ______ft3
oksian1 [2.3K]
Volume = Length x Width x Height

Length = 4 ft
Width = 4 ft
Height = 15 ft

Volume = 4 ft x 4 ft x 15 ft = 240 ft^3
4 0
3 years ago
Which polar coordinates represent the same point as (4, −π/2)
marin [14]
You can go full 2π rotate around counterclockwise so the angle wouldn't be negative.

So -π/2 + 2π = -π/2 + 4π/2 = 3π/2

So (4, 3π/2) is the same point as (4, -π/2)
7 0
3 years ago
Find the value of x.<br> 69°<br> (2x-1)°
inysia [295]

Answer:

x = 11

Step-by-step explanation:

69° + (2x - 1)° = 90° (complementary angles)

69 + 2x + 1 = 90

Add like terms

69 - 1 + 2x = 90

68 + 2x = 90

Subtract 68 from each side

68 + 2x - 68 = 90 - 68

2x = 22

Divide both sides by 2

2x/2 = 22/2

x = 11

4 0
3 years ago
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