Perimeter and value of x show all work

Matthew's dad hired him to paint 6 wooden patio chairs for $125. It takes him 9 hours to paint all of the chairs. If it takes th

frozen [14]

Given:

Matthew's dad hired him to paint 6 wooden patio chairs for $125.

Time taken by him to paint all of the chairs = 9 hours.

It takes the same amount of time to paint each chair.

To find:

The fraction of an hour does it take Matthew to paint one chair

Solution:

Total time = 9 hours

Total number of chairs = 6

Now, time taken by Matthew to paint one chair is

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{9}{6}$

$\dfrac{\text{Total time}}{\text{Total number of chairs}}=\dfrac{3}{2}$

Therefore, Mattew takes $\dfrac{3}{2}$ of an hour to paint one chair.

Thinking with a model: On dividing the total time by total number of chairs we get time taken by Mattew (in hours) to paint one chair. So, the result represents the fraction of an hour taken by Matthew to paint one chair.

8 0

3 years ago

A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2 :

const2013 [10]

Answer:

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

Suppose a sample of 1067 floppy disks is drawn. Of these disks, 74 were defective.

This means that $n = 1067, \pi = \frac{74}{1067} = 0.069$

80% confidence level

So $\alpha = 0.2$ , z is the value of Z that has a pvalue of $1 - \frac{0.2}{2} = 0.9$ , so $Z = 1.28$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 - 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.059$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.069 + 1.28\sqrt{\frac{0.069*0.931}{1067}} = 0.079$

The 80% confidence interval for the population proportion of disks which are defective is (0.059, 0.079).

7 0

2 years ago

Please help i have no idea what are the excluded values to the equation y = 5 / (x^2 - 7x 10)?

Kryger [21]

Hello,

The excluded values are the roots of the denominator.

x²-7x+10=x²-2x-5x+10=x(x-2)-5(x-2)=(x-2)(x-5)

Roots of the denominator are x=2 and x=5

5 0

3 years ago

At a particular restaurant, each pizza roll has 60 calories and each mini hotdog has 70 calories. A combination meal with pizza

PolarNik [594]

Answer:

There are 9 pizza rolls and 12 mini hotdogs in the meal.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of pizza rolls sold and y be the number of mini hotdogs in the combination meal.

Total number of items in combination meal = 21

Thus, we can write the equation:

$x + y = 21$