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pychu [463]
4 years ago
11

What is the value of x in the equation x – y = 30, when y = 15?

Mathematics
1 answer:
oee [108]4 years ago
3 0
<span>x - y = 30 therefore if y is 15 x - 15 = 30 so it follows that x = 30 + 15 which means x has a value of 45x - y = 30 therefore if y is 15 x - 15 = 30 so it follows that x = 30 + 15 which means x has a value of 45</span>
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Can someone answer this question please?
Keith_Richards [23]

Part (a)

<h3>Answer:  0.2</h3>

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

Work Shown

It costs $15 to rent a bike for 3 hours. We can write the following ratio below

15 dollars : 3 hours

To represent the connection of the two concepts (dollars connecting with hours)

We want the "15 dollars" to turn into "1 dollar". This is because the phrasing "per dollar" really means "per 1 dollar".

Divide both sides of the ratio by 15 to achieve this goal.

15 dollars : 3 hours

15/15 dollars : 3/15 hours

1 dollar : 1/5 hours

1 dollar : 0.2 hours

0.2 hours : 1 dollar

So we get 0.2 hours per dollar.

As a side note, 0.2 hours = 0.2*60 = 12 minutes.

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

Part (b)

<h3>Answer:  3.38</h3>

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Work Shown

27 pages : 8 minutes

27/8 pages : 8/8 minutes

3.375 pages : 1 minute

3.38 pages : 1 minute

I'm dividing both parts of the original ratio by 8 to turn "8 minutes" into "1 minute" (due to the phrasing "per minute"). Don't forget to round to 2 decimal places.

3 0
4 years ago
Find the product of -5x^3y(4x-8y)
masha68 [24]

Answer:

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Step-by-step explanation:

-5x^3y(4x-8y)

= -5x^3y * 4x + -5x^3y * -8y

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5 0
2 years ago
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample
Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

pX = \frac{68}{86} = 0.7907

sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

pY = \frac{105}{120} = 0.875

sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302

Difference:

p = pX - pY = 0.7907 - 0.875 = -0.0843

s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533

Confidence interval:

p \pm zs

In which z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}, with \alpha being 1 subtracted by the confidence level.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound of the interval:

p - zs = -0.0843 - 1.96*0.0533 = -0.1888

Upper bound of the interval:

p + zs = -0.0843 + 1.96*0.0533 = 0.0202

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0
3 years ago
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