Is the graphical division hourly rate charged by each plumber

Boats from all along the Atlantic coast dock at a busy marina. Of the first 10 boats to dock at the marina one day, 5 were from

yuradex [85]

Answer:

8

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The school store opened on the first day of school with 45 notebooks and 15 pencils. Within two days it sold all of these items.

malfutka [58]

The number of pencils sold on the first day is 5 pencils.

The number of notebooks sold on the first day is 10 notebooks.

The number of pencils sold on the second day 10 pencils.

The number of notebooks sold on the second day 35 notebooks.

Step-by-step explanation:

Given data,

The total number of notebooks in the store = 45 notebooks.
The total number of Pencils in the store = 15 pencils.
The number of days that all items were sold = 2 days.

Now, you have to calculate the no.of notebooks and no. of pencils sold each day.

In the first day :

The number of sale of notebooks and pencils are given by,

Twice as many notebooks were sold as pencils.

Let us take, the number of pencils sold on the first day = x

And, the number of notebooks sold on the first day = 2x (Twice as pencils).

In the second day :

The number of sale of notebooks and pencils are given by,

For every 7 notebooks sold, 2 pencils were sold.

The number of pencils sold on the second day = 2y

The number of notebooks sold on the second day = 7y

The equation is framed for number of notebooks sold on each day :

The number of notebooks sold ⇒ 2x + 7y = 45 -------(1)

The equation is framed for number of pencils sold on each day :

The number of pencils sold: x + 2y = 15 ----------(2)

Solving the equations by multiplying eq(2) by 2 and subtract it from eq(1),

2x + 7y = 45

- (2x + 4y) = 30

3y = 15

⇒ y = 15/3

⇒ y = 5

The value of y is 5.

Substitute y=5 in eq (2),

⇒ x + 2(5) = 15

⇒ x + 10 = 15

⇒ x = 15 - 10

⇒ x = 5

The value of x is 5.

First day sale,

The number of pencils sold on the first day = x ⇒ 5 pencils

The number of notebooks sold on the first day = 2x ⇒ 10 notebooks

Second day sale,

The number of pencils sold on the second day = 2y ⇒ 10 pencils

The number of notebooks sold on the second day = 7y ⇒ 35 notebooks.

8 0

3 years ago

What vertex does the quadrilateral and the pentagon share?

Leokris [45]

It equals the middle

7 0

3 years ago

A jet boat is used to take canoers 200 miles upriver to their starting point. As the driver of the jet boat, Jeremy knows that i

artcher [175]

D. 50 mph

Going upstream takes longer because of the flow of the water

5 0

3 years ago

70% of voters in a certain state support an increase in the minimum wage. A researcher believe that the percentage of fast food

Artist 52 [7]

<h2>Answer with explanation:</h2>

Let p be the proportion of voters in a certain state support an increase in the minimum wage.

As per given , we have

$H_0: p =0.70\\\\ H_a: p >0.70$

Since alternative hypothesis is right-tailed so the test is a right-tailed test.

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where n= sample size.

p= population proportion.

$\hat{p}$ = sample proportion.

. In a random sample of 300 fast food workers for 240 supporters increase an minimum-wage.

i.e. n= 300 and $\hat{p}=\dfrac{240}{300}=0.8$

Then,

$z=\dfrac{0.8-0.7}{\sqrt{\dfrac{0.7(1-0.7)}{300}}}\approx3.78$

For significant level α = .05 , the critical z-value is

$z_{0.05}=1.645$

Decision : Since calculated z-value (3.78) is greater than the critical value (1.645) , so we reject the null hypothesis.

Conclusion : We have sufficient evidence o support researcher's claim that that the percentage of fast food workers for support and increase is higher than 70%..

4 0

3 years ago

Is the graphical division hourly rate charged by each plumber ​

Is the graphical division hourly rate charged by each plumber