The cost for a pack of 15 pens is $3.15. Find the unit price in dollars per pen.

If you provide the desired standard error value, I can help you calculate the corresponding population standard deviation.

The standard error is a measure of the variability or uncertainty of a sample mean. It is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if we want the standard error to be smaller, the population standard deviation should be larger.

To determine how large the population standard deviation needs to be, we need to specify a desired standard error value. Without that information, it is not possible to provide a specific answer. The relationship between the population standard deviation and the standard error is inversely proportional, so as the population standard deviation increases, the standard error decreases.

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x²+6x＝-6 ‖+6

x²+6x+6＝0

x1＝-(6/2)+√((6/2)²-6)＝ -3+√(3) or ≈ -1.267

x2＝-(6/2)+√((6/2)²-6)＝ -3-√(3) or ≈ -4.732

The roots of the quadratic equation, x² + 6x = - 6 are between - 2 and - 1,

and 1 and 2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, x² + 6x = - 6.

We know in ax² + bx + c = 0, x = ± √(b² - ac)/2a.

∴ x² + 6x + 6 = 0.

x = ± √(36 - 24)/2×1.

x = ± √(12)/2.

x = ± (2√3)/2.

x = ± √3.

We know √3 is between 1 and 2 and - √3 is between - 2 and - 1.

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Answer:

y= -2x^2+4x+126

Step-by-step explanation:

When "down" is positive and air friction is disregarded, the time it takes for the rock to touch the ground may be calculated using the formula \(h(t)=16t2-100\) to be roughly 6.25 seconds.

the formula\(h(t)=16t2 - 100\)when a rock is dropped from a height of 100 feet, and assuming that "down" is positive and air friction is neglected, represents the height of the rock at time t in seconds.

As the rock will land at the value of t when h(t) = 0, we must determine that value in order to determine how long it takes for the rock to land.

When we set h(t) to 0 we obtain 0 = 16t2 - 100.

\(16t^2 = 100 \st^2 = 100/16 \st^2 = 6.25 \st = ±√6.25\)

The only viable answer in this case is\(t = 6.25 = 2.5\) seconds since time cannot be negative. As a result, there was a 2.5 second delay between when the rock was dropped and when it landed.

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Answer:

Mode: 20

Mean: 17.5

Median: 19.5

Step-by-step explanation:

Mode: Most common one : 20

Mean: 19+25+23+20+9+20+15+10+5+16+25+20+24+12+20=263

263/15= 17.5

Median: 5, 9, 10,12,15,16,19,20,20,20,23,24,25,25. The middle ones arer 19 and 20. the middle of 19 and 20 = 19.5

Hope this helps! Have a nice day!

Answer:

Replace all the (x) values with the Values "-1, 0, 2" to get your answers

Step-by-step explanation:

        4(-1)+4  (-1) < 0

f(-1)=  4(-1)+4  (-1) > 0

f(-1)= 4x+4 x < 0

f(0)= 4x +8 x>/_ 0

f(2)= 4x +8 x>/_ 0

Answer:

0.001728 is the cube of \(\frac{3}{25}\)

Step-by-step explanation:

0.001728 = \(\frac{1728}{1000000}\)

break down each using LCD

1728 / 2 = 864

864 / 2 = 432

432 / 2 = 216

216 / 2 = 108

108 / 2 = 54

54 / 3 = 27

27 / 3 = 9

9 / 3 = 3

3 / 3 = 1

1000000 / 2 = 500000

500000 / 2 = 250000

250000 / 2 = 125000

125000 / 2 = 62500

62500 / 2 = 31250

31250 / 5 = 15625

15625 / 5 =3125

3125 / 5 =625

625 /2 = 125

125 / 5 =25

25 / 5 = 5

5 / 5 = 1

*don't forget to add another 2 for each group*

\(\frac{1728}{1000000}\) = \(\frac{2 * 2 * 2 * 2 * 2 * 2 * 3 * 3 * 3}{2 * 2 * 2 * 2 * 2 * 2 * 5 * 5 * 5 * 5 * 5 * 5}\)  

= \(\frac{3 * 3 * 3}{5 * 5 * 5 * 5 * 5 * 5}\)

= \(({\frac{3x^{3} }{5x^{3} * 5x^{3} })^{3}\)

= \(\sqrt[3]{\frac{1728}{1000000} } = (\frac{3}{5 * 5} )^{3}\)

=\(\sqrt[3]{\frac{1728}{1000000} } = \frac{3}{5 * 5}\)

= \(\sqrt[3]{0.001728} = \frac{3}{25}\)

Answer:

240

Step-by-step explanation:

If 24 students have taken trays from the pizza line, and each of the three serving lines has 12 trays, then there are 24 trays + 312 trays = 60 trays in total. Since the trays were divided into 3 equal groups, there are 60 trays / 3 groups = 60/3=20 trays in each group.

Since 4 cartons of trays were unloaded in the pizza line, and each carton had 60 trays, there were 460 = <<4*60=240>>240 trays in all.

The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Answer:

D

Step-by-step explanation:

Answer AND Step-by-step explanation:

I'm not really sure, but I'm pretty sure the answer is D.

L = lengh

W = width

french reasoning ( hello from France ) !

The base of the house is a rectangle where the length of a rectangle is 8 more than the width.

=> L = W + 8

and

Its area is 240 ft sq

W x L = 240

L = W + 8

W x L = 240

=> W x (W+8) = 240

W² + 8W - 240 = 0

Δ = 8² - 4*1*(-240) = 32²

W' = (-8 + 32) / 2 = 12 ft

W'' = (-8 - 32) / 2 = impossible

at the end

W the width = 12 ft

and then the lengh = 12 + 8 = 20

area = 12 x 20 = 240 ft²

Answer:

Option D, 4

Step-by-step explanation:

2 pizzas x 6 slices per pizza = 12 slices of pizza

12 slices of pizza divided by 3 friends eating equal slices = 4 slices per friend

Option D, 4, is your answer

The proportions of parts produced within specifications by the two shifts at a 4% significance level with the help of an equation.

A formula exists in every equation. Some equations do not have formulae. Equations are designed to be solved for a variable.

(a) To estimate the difference in proportions of parts produced within specifications by the two shifts, we need to calculate the confidence interval.

First, we can calculate the sample proportions of parts produced within specifications for each shift:

For the day shift, the sample proportion is:

p1 = 188/200 = 0.94

p2 = 180/200 = 0.90

p1 - p2 = 0.94 - 0.90 = 0.04

To calculate the confidence interval, we can use the following formula:

(point estimate) ± (critical value) x (standard error)

We will use a 96% confidence level, so our critical value is z* = 2.05 (from the z-table).

The standard error can be calculated as follows:

SE = sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2))

where n1 and n2 are the sample sizes.

Substituting in our values, we get:

SE = sqrt((0.94*(1-0.94)/200) + (0.90*(1-0.90)/200))

SE = 0.040

Now we can calculate the confidence interval:

0.04 ± 2.05(0.040)

The confidence interval is (0.003, 0.077).

Therefore, we are 96% confident that the true difference in proportions of parts produced within specifications by the two shifts is between 0.003 and 0.077.

(b) To determine whether the difference in proportions of parts produced within specifications by the two shifts is significantly different from 0, we need to check if 0 is within the confidence interval we calculated.

Since the confidence interval does not include 0, we can conclude that the difference in proportions of parts produced within specifications by the two shifts is significantly different from 0 at a 96% confidence level.

(c) The hypotheses of interest for the significance test are:

H0: p1 - p2 = 0 (There is no difference in proportions of parts produced within specifications by the two shifts)

Ha: p1 - p2 ≠ 0 (There is a difference in proportions of parts produced within specifications by the two shifts)

We will use a significance level of α = 0.04.

To perform the significance test, we need to calculate the test statistic:

z = (p1 - p2 - 0) / SE

where p1, p2, and SE are the same as calculated in part (a).

Substituting in our values, we get:

z = (0.94 - 0.90 - 0) / 0.040

z = 1.00

Using a z-table, we find that the p-value for a two-tailed test with z = 1.00 is approximately 0.317.

Since the p-value is greater than our significance level of 0.04, we fail to reject the null hypothesis.

Therefore, we do not have sufficient evidence to conclude that there is a difference in proportions of parts produced within specifications by the two shifts at a 4% significance level.

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Completing squares we will get:

(x + 7)^2 = 36

And the solutions are x = -1 and x = -13

Here we have the quadratic equation:

x^2 + 14x = -13

Remember that a square trinomial is:

(a + b)^2 = a^2 + b^2 + 2ab

we can rewrite our quadratic equation to get:

x^2 + 2*7*x + 13 = 0

So we have:

a = x

b = 7

Then we can add and subtract 7^2, so we will get:

x^2 + 2*7*x + 13 + 7^2 - 7^2 = 0

(x^2 + 2*7*x + 7^2) + 13 - 7^2 = 0

(x + 7)^2 = -13 + 7^2

(x + 7)^2 = 36

Now we can solve this, let's apply the square root in both sides:

(x + 7) = ±√36

x + 7 = ±6

x = ±6 - 7

Then the two solutions are:

x = (6 - 7) = -1

x = (-6 - 7) = -13

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Answer:

4(4x+3)=19x+9-3x+3

4*4x  4*4 =19x+9-3x+3

16x+12= 16x+12

12=12

The middle school will host a Talent show.

The goal of the tickets sale is to earn $500

To reach this goal Ms G has to sell a determined number of tickets.

This means that the earnings depend directly on the number of tickets sold.

So the independent/ explanatory variable is the number of tickets sold, and the dependent/ response variable is the money earned

x → Tickets sold

y → Money earned

Answer:

5:7.

...................................

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

48 feet

Step-by-step explanation:

7 inches = 14 feet

There are 14 halves in 7 inches.

5 inches = 10 feet

There are 10 halves in 5 inches

14+14+10+10=48

The perimeter is 48 feet

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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Answer:0.00234

Step-by-step explanation:

answer:

=y^(-4+3)

=y^ (-1)

Answer:

1498.78125 i used calculator

Step-by-step explanation:

Answer: -4

Step-by-step explanation:

Once you graph it, the solutions are where the graph meets the x axis.

This is at -4 and 9.

Answer:

96 mph is the answer

The average speed is 96 mph

The average speed is the total distance traveled by the object in a particular time interval.

Given:

d= 240 miles

t = 2 hours 30 minutes.

t= 2.5 hours

Average speed= distance/ time

                        =  240/2.5

                        =  96 mph

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Answer:

in this question, we're going to be finding coordinates of the circumstance of a triangle, given the points, D. E. And F. So I'm going to explain this step by step, so that it's clear for you. Now, let's start, the first thing I want to do is to sketch just a plot to the different points. D. E. And F. So d. is at 00. The origin is at 60, And F is at 04. So that's the first step plotting out these points. Next uh I will join F. And E. So that we form the triangle that we're looking for. So the triangle D. E. F. He's actually uh a right triangle. Okay, no need to to do the other sides because you can see the triangle already, the triangle is D E. F. It's a right triangle. No, the second center is defined as the point where the perpendicular by sectors of the sides of a triangle intersect. So we want to draw a perpendicular lines. So the first perpendicular line we're going to draw is the one passing through the midpoint of the F. That's the perpendicular per sector of D. F. So I'm just going to draw it here. Um I'll use a different color, let me use green. So that's there. Fast, perpendicular by sector, Arabic, perpendicular by sector passes through the midpoint of aside and is passing also through an angle 90 degrees. Now let's draw the perpendicular by sector of D. E. So for D we also have to do the same thing, make sure that it passes through the midpoint And in this case the midpoint is at zero as 30. So I'm going to place this ruler at 30 after that is going to draw a line So far. You can see that these two uh will intersect at the .32. Now the midpoint of F. E. is also 32. Maybe we need to move this line slightly so that it's right where we wanted to be there. So 32, that's the point where these perpendicular by sectors meet, so The Sachem Center that has the .32

Answer:

2.4 × 10 ^ 5 - Option 2

Step-by-step explanation:

Scientific notation is in the form :

a × 10^b

Where 1≤a<10

and b can be positive or negative .

For the letter a, the number 2.4 fits the criteria. (This leaves us with Option 2 or 4 )

Since positive values of b make big numbers and negative values of b make small numbers the answer must be :

2.4 × 10 ^ 5

Option 2

Hope this helped and have a good day

The equation that simplifies to -7 is given by the expression 2 - 9

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Given the equation:

2 - 9

Simplifying gives:

2 - 9 = -7

The equation that simplifies to -7 is given by the expression 2 - 9

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