7. A shopkeeper sold a pen set for 180 at a profit of 30. To make a profit of 26%, what should be the selling price of the pen set? 1otor​

Using the z-distribution, it is found that since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

At the null hypothesis, it is tested if drug use in her school is not below the national average, that is:

[tex]H_0: p \geq 0.098[/tex]

At the alternative hypothesis, it is tested if it is below, that is:

[tex]H_1: p < 0.098[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

93 out of 1046 reported using illegal drugs, hence the parameters are:

[tex]n = 1046, \overline{p} = \frac{93}{1046} = 0.0889, p = 0.098[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.0889 - 0.098}{\sqrt{\frac{0.098(0.902)}{1046}}}[/tex]

[tex]z = -0.99[/tex]

The critical value for a left-tailed test, as we are testing if the proportion is less than a value, is [tex]z^{\ast} = -1.645[/tex]

Since the test statistic is more than the critical value for the left-tailed test, it is found that there is not enough evidence to conclude that illegal drug use in her school is below the current national average.

To learn more about the use of the z-distribution to test an hypothesis, you can take a look at https://brainly.com/question/25584945

The vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Given the following data:

To find an equation of the vertical line that passes through the given points (14, -16):

The standard form of an equation of line is given by the formula;

[tex]y=mx+b[/tex]

Where:

For any equation of a straight line, the x-coordinate of a vertical line will always be the same irrespective of the point chosen on the vertical line. because a vertical line is perpendicular to the x-axis.

Deductively, the vertical line shall have its x-coordinate equal to 14 because the points (14, -16) is on this vertical line.

Read more: https://brainly.com/question/2707920

Answer:

(1 , -2/3)

Step-by-step explanation:

when y =0

3×0-2x=-2

0-2x=-2

divide both side by -2

x=1

when x=0

3y-2×0=-2

3y-0=-2

divide both side by 3

y=-2/3

Answer:

Area = 2(5x - 4) + 2(5x)

Step-by-step explanation:

Perimeter is the sum of twice the width and twice the length of the rectangle. And since the question is asking us for an equation, we need to write, Area = 2(5x - 4) + 2(5x). When you are required to find the value of x with a given area, just plug that area into the equation, distribute, and simplify to get x.

Answer:

Step-by-step explanation:

9.  Correct, D

-3Y + 9X <= 12

3Y - 9X => -12

3Y => -12 + 9X  

Y => -4 + 3X  

10.  D

11.  D

12.  Correct, B

13.  Correct, E

14.  A

15.  B

Answer:

The answer is 55/3

Step-by-step explanation:

11 should be divided by 3 and 5 should be multiplied later..

Answer:

18225

Step-by-step explanation:

16200*0.025*5=2025

2025+16200 = 18225

Answer:

triangle JKL

Step-by-step explanation:

This is because the lengths of each side JKL is a factor to ABC

respectively .

AB=12,JK=36

AC=13,JL=39

BC=5,KL=25

I hope you understand

Step-by-step explanation:

You start by asking yourself or as I call it crossmultiply

if 20 min the bucket is 1/8 full what about 8/8 or a whole

20×8/8×1/8

=160 min or 2.6 hrs

Answer:

[tex]2\frac{1}{2} hours[/tex]

Step-by-step explanation:

What is the rate at which the water is leaking per hour?

rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]

Write an equation that represents the relationship between the number of buckets filled, , in hours.

[tex]y=\frac{2}{5}x[/tex]

What is the longest that Jeremy can be away from the house before the bucket will overflow?

[tex]\frac{5}{2}[/tex] or  [tex]2\frac{1}{2} hours[/tex]

Answer:

750g

Step-by-step explanation:

300 divided by 4, for amount of sugar per person

you'll get 75

then multiply 75 by 10 for 10 people

you get 750g

Answer:

Car 1

Step-by-step explanation:

Answer: Car 1

Step-by-step explanation:

Notice that the speed of each car is the slope of the line that represents its average speed.

Since the graph of the speed of Car 1 passes through (0,0) and (4,256), we get that its slope is:

256/4 = 64

Therefore the average speed of Car 1 is 64 mi/h.

 Now, since the equation that represents the average speed of Car 2 is in slope-intercept form, we get that its slope is 55.

Therefore the average speed of Car 2 is 55 mi/h.

Answer: Car 1.

Answer: 1.  w=-30%

              2.   c=361

Step-by-step explanation: 1.    15+15=30       2.      a looks the same size as c so c is 361 or same as a

Answer:

Step-by-step explanation:

Answer:

is there a photo of a scatter plot?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Domain means what x's are on this graph, or what x's can you put into this equation. Range means what y's are in this graph or what y's can you get out if this equation. For y=x you can literally put in any x and get out any y, so the domain and range are both all real numbers. I couldn't see the choices on your drop down and there's several ways to write "all real numbers" as an answer. The absolute value graph y=|x| is a V-shaped graph so again, you can put in any x, but you only get positive numbers out (and 0, if you input 0) so the range us just all the y's that are 0 and bigger. That is y>=0. Again, there are several ways to write that such as {y | y>=0} or [0, infinity symbol)

Answer: -8

Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8

The radius of the table top, rounded to 1 dp is 5.6 cm

From the question,

We are to determine the radius of the table top

First, we will determine the volume of the cylindrical wooden table

From the given information

Density = 0.42 g/cm³

Mass = 0.25 kg = 250 g

Using the formula

[tex]Volume = \frac{Mass}{Density}[/tex]

∴ [tex]Volume = \frac{250}{0.42}[/tex]

Volume = 595.238 cm³

Now, for the radius of the table top

Using the formula for volume of a cylinder

[tex]V = \pi r^{2}h[/tex]

Where V is the volume

r is the radius

and h is the height or depth

From the given information

h = 6cm

Putting the parameters into the formula

[tex]595.238 = \pi r^{2} \times 6[/tex]

∴ [tex]r^{2} = \frac{595.238}{6\pi }[/tex]

[tex]r^{2} =31.57835667[/tex]

[tex]r =\sqrt{31.57835667}[/tex]

r = 5.6 cm

Hence, the radius of the table top, rounded to 1 dp is 5.6 cm

Learn more here: https://brainly.com/question/11178104

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

any minus temperature is < 7oC

0 is < 7oC

1 ... 6 is < 7oC

Answer:

A cylinder with a base radius of 7cm and a height of 12 cm.

Step-by-step explanation:

A solid object =7cm

height=12cm

Now,

we know that l = b×g

=12×7

= 84

Answer

If we had a sale price of 30% off of $1,050then the sale price is 70% of $1,050 or 0.7(1050) Then we add 7% sales tax to that making thefinal price paid 107% of [0.7(1050)] ... 1.07[0.7(1050)] = $786.45

Answer: -3x+4

Step-by-step explanation:

combine like terms.

3x+ -6x=-3

-3+-3+2= -4

-3x + -4

Answer:

A rational number is a number that doesn't terminate or repeat

a non rational number is a number that terminates or repeats

so she basicelly got mixed up

Hope This Helps!!!

Hi!

30 = x

f(x) = -1/5x - 14 find x when f (x) = -8

Set the equation equal to -8

-8 = -1/5x - 14

Add 14 to both sides.

6 = -1/5x

Multiply both sides by -5.

30 = x

Hope this helps! :D