Help with this please

A plumber charges customers a $50 fee for house calls, plus $25 per hour that he stays to work. Which linear function best model

Gala2k [10]

The function is: y= 25x + 50

8 0

3 years ago

Of 560 samples of seafood purchased from various kinds of food stores in different regions of a country and genetically compared

frutty [35]

Answer:

a) (0.5256,0.5944)

c) Criticism is invalid

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 560

Proportion of mislabeled = 56%

$\hat{p} = 0.56$

a) 90% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.64$

Putting the values, we get:

$0.56\pm 1.64(\sqrt{\dfrac{0.56(1-0.56)}{560}}) = 0.56\pm 0.0344\\\\=(0.5256,0.5944)$

b) Interpretation of confidence interval:

We are 90% confident that the true proportion of all seafood in the country that is mislabeled or misidentified is between 0.5256 and 0.5944 that is 52.56% and 59.44%.

c) Validity of criticism

Conditions for validity:

$np > 10\\n(1-p)>10$

Verification:

$560\times 0.56 = 313.6>10\\560(1-0.56) = 246.4>10$

Both the conditions are satisfied. This, the criticism is invalid.

8 0

4 years ago

in 2003 the population of an African country was about 19 million people, which is 1 million more than 4 times the population in

ELEN [110]

Answer:

I think the sudden increase in the population is because of encomic opportunity available in the region which was not available before and now there opportunity

5 0

3 years ago

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times

Art [367]

Answer: 30°, 67° e 83°.

Step-by-step explanation: The angles are (2x + 16)/5 , x e x + 16°

Adding all the angles, comes:

(2x + 16)/5 + x + x + 16° = 180° ;

2x + 16° + 5x + 5x + 80° = 900° ;

12x = 900° - 16° - 80° ;

12x = 804°° ;

x = 804°/12 ;

x = 67°

So, the first angle is (2,67 + 16)/5 = 30°, the second is 67° and the third is 83°.

7 0

3 years ago

Read 2 more answers

Solve and show work:

Katyanochek1 [597]

Im a keep editing since this is timed.

#1 x-8a/6=3a-2x

Multiply each term by 6 to remove fraction .

6(x-8a/6)= 3a(6)-2x(6)

X-8a=18a-12x

Add 12x both sides

X+12x-8a=18a-12x+12x

13x-8a= 18a

Add8a both sides

13x-8a+8a=18a+8a

13x=26a

Divide each side by 13

13x/13=26a/13

X= 26a/13

Reduce and cancel common factor .

X= 13(2a)/13(1)

X=2a/1

X=2a

Problem #2

3x-2a=7a find a

Subtract 3x both sides

3x-3x-2a=7a-3x

-2a=7a-3x

Subtract 7a both sides

-2a-7a=7a-7a-3x

5a=-3x

Divide both sides by 5

5a/5=-3x/5

A= -0.6 or -3/5

Problem#3

3(bx-2ab)=b(x-7a)+3ab

Distributed property

3(bx)+3(-2ab)=b(x)+b(-7a)+3ab

Simplify

3bx-6ab=bx-7ab+3ab

Add -7a plus 3ab on right side

3bx-6ab= bx-4ab

Subtract bx both sides

3bx-bx-6ab= bx -bx -4ab

Simplify

2bx-6ab= -4ab

Add 6ab both sides

2bx-6ab+6ab=6ab-4ab

2bx=2ab

Divide 2b both sides

X= 2ab/2b

Cancel 2 common

X= ab/b

X=a

7 0

3 years ago

Read 2 more answers