All categories

1 year ago

Plumber 1 charges $50 per hour plus a flat fee of $20.

Mathematics

2 answers:

alexira [117]1 year ago

4 0

20 + 50h= c
60h=c Or 60 x h = c

Artist 52 [7]1 year ago

3 0

Answer:

H: 0, 1, 2, 3, 4, 5

plumber 1: 20, 70, 110, 160, 210, 260

plumber 2: 0, 60, 120, 180, 240, 300

plumber 1: C = 50h + 20

plumber 2: C = 60h

You might be interested in

A + a + a = 72. What is the smallest number of a?

Mazyrski [523]

Answer:

0+40+32=72. 0 is the smallest number for it unless your trying to use decimals. a=0 for the smallest

Step-by-step explanation:

7 0

3 years ago

How do I do this?? Help plse!

eimsori [14]

D, it is the correct answer

6 0

3 years ago

True or false 1. All parallelograms are squares.2. All squares are parallelograms. 3. All trapezoids are scalene.4. All squares

ruslelena [56]

1-2:Yes. But not all parallelograms are squares
3-false ! are plane figures.
4-True ! Every square is a rhombus
5-False , every rhombus is not a square.
6-7 : Yes, all Squares are rectangles, but not all rectangles are squares because it needs to have all equal sides.

4 0

3 years ago

A certain article indicates that in a sample of 1,000 dog owners, 610 said that they take more pictures of their dog than of the

lbvjy [14]

Answer:

(a) The 90% confidence interval is: (0.60, 0.63) Correct interpretation is (3).

(b) The 95% confidence interval is: (0.42, 0.46) Correct interpretation is (1).

(c) First, the confidence level in part(b) is more than the confidence level in part(a) is, so the critical value of part(b) is more than the critical value of part(a), Second the margin of error in part(b) is more than than in part(a).

Step-by-step explanation:

(a)

Let X = number of dog owners who take more pictures of their dog than of their significant others or friends.

Given:

X = 610

n = 1000

Confidence level = 90%

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The sample proportion is:

$\hat p=\frac{X}{n}=\frac{610}{1000}=0.61$

The critical value of z for a 90% confidence level is:

$z_{\alpha/2}=z_{0.10/2}=z_[0.05}=1.645$

Construct a 90% confidence interval for the population proportion of dog owners who take more pictures of their dog than their significant others or friends as follows:

$CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.61\pm 1.645\sqrt{\frac{0.61(1-0.61}{1000}}\\=0.61\pm 0.015\\=(0.595, 0.625)\\\approx(0.60, 0.63)$

Thus, the 90% confidence interval for the population proportion of dog owners who take more pictures of their dog than their significant others or friends is (0.60, 0.63).

Interpretation:

There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within the interval (0.60, 0.63).

Correct option is (3).

(b)

Let X = number of dog owners who are more likely to complain to their dog than to a friend.

Given:

X = 440

n = 1000

Confidence level = 95%

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

The sample proportion is:

$\hat p=\frac{X}{n}=\frac{440}{1000}=0.44$

The critical value of z for a 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Construct a 95% confidence interval for the population proportion of dog owners who are more likely to complain to their dog than to a friend as follows:

$CI=\hat p\pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.44\pm 1.96\sqrt{\frac{0.44(1-0.44}{1000}}\\=0.44\pm 0.016\\=(0.424, 0.456)\\\approx(0.42, 0.46)$

Thus, the 95% confidence interval for the population proportion of dog owners who are more likely to complain to their dog than to a friend is (0.42, 0.46).

Interpretation:

There is a 95% chance that the true proportion of dog owners who are more likely to complain to their dog than to a friend falls within the interval (0.42, 0.46).

Correct option is (1).

(c)

The confidence interval in part (b) is wider than the confidence interval in part (a).

The width of the interval is affected by:

The confidence level
Sample size
Standard deviation.

The confidence level in part (b) is more than that in part (a).

Because of this the critical value of z in part (b) is more than that in part (a).

Also the margin of error in part (b) is 0.016 which is more than the margin of error in part (a), 0.015.

First, the confidence level in part(b) is more than the confidence level in part(a) is, so the critical value of part(b) is more than the critical value of part(a), Second the margin of error in part(b) is more than than in part(a).

4 0

3 years ago

Calvin deposited $12,600 into a savings account, and he didn't make any deposits or withdrawals for a year. If, after interest w

myrzilka [38]

Answer:

5.13% APEX

Step-by-step explanation:

You take 12,600 and multiply it by 1.0513, to get 13,246.38. I don't know where the 1 in front of the percent came from, but for APEX, that is the correct answer.

6 0

3 years ago