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Savatey [412]
4 years ago
6

What is the answer i need help

Mathematics
1 answer:
Digiron [165]4 years ago
3 0
The answer is 6.875

1/2 = 0.5

0.5 * 0.5 * 0.5 = 0.125

7 - 0.125 = 6.875<span>
</span>
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Question 20. The expression which defines the area of a trapezium is...
jeka94

Answer:

b = 2A/h - a . (option a)

Step-by-step explanation:

Check attachment

4 0
3 years ago
1 Let a = 5.2 and b = 4.7.
Alina [70]

Part (a)

Replace every 'a' with 5.2 and replace every 'b' with 4.7

Then use your calculator to evaluate.

3a + b^3 = 3*5.2 + (4.7)^3 = 119.423

<h3>Answer: 119.423</h3>

===============================================

Part (b)

The true value is 119.423 which is the result of part (a)

The estimated value is 140

Subtract the two values

140-119.423 = 20.577

and divide that over the true value

20.577/140 = 0.14697857142858

Which, when rounded to 4 decimal places, we get 0.1470

Move the decimal place over to the right 2 spots to get 14.70%

<h3>Answer: 14.70% error (approximate)</h3>
7 0
3 years ago
Which of the following is a solution to the equation 0=x2+6x+4 ?
Llana [10]

Answer:

A

Step-by-step explanation:

Given

x² + 6x + 4 = 0 ( subtract 4 from both sides )

x² + 6x = - 4

Solve using the method of completing the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 4 + 9, that is

(x + 3)² = 5 ( take the square root of both sides )

x + 3 = ± \sqrt{5} ( subtract 3 from both sides )

x = - 3 ± \sqrt{5} , thus

x = - 3 - \sqrt{5} → A

x = - 3 + \sqrt{5}

4 0
3 years ago
Each day a manufacturing plant receives a large shipment of drums of Chemical ZX-900. These drums are supposed to have a mean fi
nikdorinn [45]

Answer:

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Suppose the mean fill for the shipment is actually 50 gallons. Standard deviation of 0.6 gallons.

This means that \mu = 50, \sigma = 0.6

Sample of 100:

This means that n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06

What is the probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons?

This is the pvalue of Z when X = 50.12 subtracted by the pvalue of Z when X = 49.88. So

X = 50.12

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

By the Central Limit Theorem

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

Z = \frac{50.12 - 50}{0.06}

Z = 2

Z = 2 has a pvalue of 0.9772

X = 49.88

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

Z = \frac{49.88 - 50}{0.06}

Z = -2

Z = -2 has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability that the average fill for the 100 drums is between 49.88 and 50.12 gallons.

7 0
3 years ago
Volume shhdudjdkdidj
Murljashka [212]
What do you need help with?
7 0
3 years ago
Read 2 more answers
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