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Lelechka [254]
3 years ago
9

4x(3x+8y)-7y(5x-1) simplify

Mathematics
1 answer:
Alex Ar [27]3 years ago
8 0
4x(3x + 8) - 7y(5x - 1) =
12x^2 + 32x - 35xy + 7y
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A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
Radda [10]
So the fisrt thing we need to calculate is that 9 times out of 10 is 90% which will be the confidence interval. 
<span>Margin of error is 6% = .06 </span>
<span>Confidence interval is 80 +/- .06 = .74 to .86. or 74% to 86$ </span>
<span>In 9 times out of 10 the confidence interval for similar samples of seniors will contain the </span><span>true mean of the population of senior scores. </span>
3 0
3 years ago
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Production of a gas flow meter takes place in two distinct operations. Measurements (n = 15) of the time required for the first
Karolina [17]

Answer:

a) P(a > 80) = 0.323

b) The 95% confidence interval = (73.40, 80.60)

c) The 95% confidence interval expresses that the mean of the distribution can always be found in the given range, with a 95% confidence level.

Step-by-step explanation:

X ~ (45, 4)

Y ~ (32, 2.5)

(X+Y) ~ (77, 6.5)

Let a = (X+Y)

a) Probability that the time required to complete both of those steps will exceed 80 min = P(a > 80)

This is a normal distribution problem

We then standardize 80 min time

The standardized score for any value is the value minus the mean then divided by the standard deviation.

z = (a - μ)/σ = (80 - 77)/6.5 = 0.46

To determine the probability the time required to complete both of those steps will exceed 80 min = P(a > 80) = P(z > 0.46)

We'll use data from the normal probability table for these probabilities

P(a > 80) = P(z > 0.46) = 1 - P(z ≤ 0.46) = 1 - 0.677 = 0.323

b) 95% confidence interval for the expected total time required to produce one flow meter.

We need to obtain the margin of error

Margin of error = (critical value) × (standard error of the sample)

Critical value for a 95% confidence interval = critical value for a significance level of 5% = t(15-1, 0.05/2) = 2.145 (using the t-score since information on the population mean and standard deviation isn't known)

Standard error for the sample of sum of times = (standard deviation of the sum of times)/√n = (6.5/√15) = 1.678

Margin of error = 2.145 × 1.678 = 3.60

Limits of the confidence interval = (Sample mean ± margin of error)

Lower limit of the confidence interval = (Sample mean - margin of error) = 77 - 3.60 = 73.40

Upper limit of the confidence interval = 77 + 3.60 = 80.60

The confidence interval = (73.40, 80.60)

4 0
3 years ago
Julio spends about 1/2 hour reading every night he owns 8 science fiction books 12 mystery books and 7 history he wants to add e
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8+7+12=27
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8 0
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Express 1 m as a percentage of 56 mm
hichkok12 [17]

Answer:

2

Step-by-step explanation:

use your head

7 0
2 years ago
6-x=9 how do you find x
podryga [215]

Answer:

15

Step-by-step explanation:

1- 6-x=9 Place the terms on the correct side; always place terms with x on the left hand side and the others on the right hand side. (when placing on the other side convert from + to - or reversed) (the 6- converted to 6+)

2- x= 6+9= 15 Now work out the sum.

3- x= 15

6 0
3 years ago
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