The table of values below represents a linear function and shows the amount of money in a tip jar at a dry cleaners since the dry cleaners opened for the day. How much was in the tip jar when the dry cleaners opened?

Amount of Money in a Tip Jar at a Dry Cleaners
Number of Hours Since Dry Cleaners Opened
4
5
6
7
8
Amount of Money in Tip Jar ($)
15.50
18.25
21.00
23.75
26.50
$1.75
$2.75
$4.50
$7.25

It is reasonable to believe that more than 75% of math students prefer to use a handheld calculator versus computer software for computations because the lower bound of the confidence interval, 0.751, is above 0.75.

To determine this:

A 95% confidence interval for a proportion gives us an estimate of the range of values where the true proportion is likely to fall. The interval (0.751, 0.863) means that we are 95% confident that the true proportion of math students who prefer to use a handheld calculator versus computer software for computations falls between 0.751 and 0.863.

Given this information, it is reasonable to believe that more than 75% of math students prefer to use a handheld calculator versus computer software for computations because the lower bound of the confidence interval, 0.751, is above 0.75.

In other words, based on the sample data and the construction of the confidence interval, there is strong evidence that the true proportion of math students who prefer to use a handheld calculator is above 75%.

It's important to note that the confidence interval is only an estimate of the true proportion, and it's possible that the true proportion is not exactly within this interval. However, the 95% confidence level means that if we were to repeat the study many times, in about 95% of the cases, the interval would contain the true proportion.

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Step-by-step explanation:

2p-5=p+5

p=10°

2m=10

m=5

Answer:

m = 5

p = 10

Step-by-step explanation:

In triangle HIJ,

IH = IJ.. (given)

Therefore,

2m = 10

m = 10/2

m = 5

IK is angle bisector of triangle HIJ.

So,

(2p - 5)° = (p = 5)°

2p - 5 = p + 5

2p - p = 5 + 5

p = 10

After approximately 2.4744 days, the number of bacteria in the culture will reach 7,144,200.

To find the number of days (x) after which the number of bacteria in the culture reaches 7,144,200, we need to solve the equation B(x) = 7,144,200.

The given equation for the growth of bacteria is B(x) = 9800(3)^x.

Setting B(x) equal to 7,144,200, we have:

9800(3)^x = 7,144,200

To solve for x, we can take the logarithm of both sides using base 3 logarithm:

log₃(9800(3)^x) = log₃(7,144,200)

Using logarithmic properties, we can simplify the equation:

log₃(9800) + log₃(3)^x = log₃(7,144,200)

Since log₃(3)^x is equivalent to x (since log₃(3) = 1), we can rewrite the equation as:

log₃(9800) + x = log₃(7,144,200)

Now, we can solve for x by isolating it:

x = log₃(7,144,200) - log₃(9800)

Using a calculator, we can compute the values:

x ≈ 5.2456 - 2.7712

x ≈ 2.4744

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Answer: 10!

Step-by-step explanation:

Answer:

The answer is 34 I took the test .

Answer:

54 Minutes

Step-by-step explanation:

Answer:

the result is 4.5 minutes.

- Erica runs 1/6 km in a minute.

- The school is 3/1 km away from her home.

Step-by-step explanation:

Given statement solution is:- The function y = √(x + 3) - 2 with at least four integer points on the axes.

To plot points and graph the function y = √(x + 3) - 2, we can utilize technology tools such as graphing calculators or online graphing tools. I'll demonstrate how to use an online graphing tool called Desmos, which is user-friendly and widely accessible.

Please follow these steps to plot the points and graph the function:

Visit the Desmos website or use any other graphing tool of your choice.

Clear any existing equations or plots on the graph.

Enter the function y = sqrt(x + 3) - 2 into the equation field.

The graphing tool will automatically plot the function.

To plot integer points, simply choose four different integer values for x and calculate the corresponding y values.

Let's choose the following integer values for x: -3, -2, 0, and 2.

Calculate the corresponding y values:

For x = -3: y = sqrt(-3 + 3) - 2 = -2

For x = -2: y = sqrt(-2 + 3) - 2 = -1

For x = 0: y = sqrt(0 + 3) - 2 = 1

For x = 2: y = sqrt(2 + 3) - 2 = 0

Plot these points on the graph by clicking on the appropriate locations.

If you accidentally click on a point and want to delete it, simply click on the point again to remove it.

Make sure the graph displays the axes and all the plotted points.

By following these steps, you should be able to plot the points and graph the function y = √(x + 3) - 2 with at least four integer points on the axes.

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Answer:

The statement ''the mean return and the standard deviation of returns can be used to describe the distribution of stock.'' is true because the mean return and standard deviation of returns are important statistical measures that describe the distribution of stock, providing information about its average performance and volatility respectively.

The mean return represents the average rate of return over a given period, providing an indication of the stock's profitability. It gives investors an idea of the stock's long-term performance and helps in comparing different stocks or investment options.

The standard deviation of returns, on the other hand, measures the volatility or variability of the stock's returns around the mean. A higher standard deviation indicates greater price fluctuations and a riskier investment, while a lower standard deviation suggests more stable returns.

Together, the mean return and standard deviation provide valuable insights into the distribution of stock returns. They help investors assess the expected return and risk associated with a particular stock, aiding in investment decision-making and portfolio management strategies.

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The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

20/27

Step-by-step explanation:

Answer:

N=12

Step-by-step explanation:

Answer: She will need the minimum of  12 months

7000-2500= 4500

4500/2=11.25

11.25 rounded up is 12

Answer:

842.87 (rounded to 2 dp)

Step-by-step explanation:

Dunno just blag it

Answer:

  60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

The square has a side length of ...

  P = 4s   ⇒   s = P/4 . . . . . P is perimeter, s is side length

  (60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

  A = s²

  A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

  A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

The perimeter of a rectangle is given by ...

  P = 2(L+W)

For this rectangle, the perimeter is ...

  P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:-496

Step-by-step explanation:

5+69+10−6+29−73−518−12

=74+10−6+29−73−518−12

=84−6+29−73−518−12

=78+29−73−518−12

=107−73−518−12

=34−518−12

=−484−12

=−496

In Luther v. Borden, 1849, it is true that the Supreme Court abdicated its role in clarifying whether the people had the right to abolish their state governments. The great statesman Daniel Webster argued that people do indeed possess the right to overthrow their government.

Luther v. Borden, 1849 was a United States Supreme Court case that decided whether the court should intervene in a political question, specifically the Rhode Island Dorr Rebellion of 1841 to 1842. In this case, the court declined to do so and ruled that the authority to decide whether a rebellion against a state government exists or not, rests solely with the United States government. The Court refused to support either side in the rebellion and thus upheld the lower court's decision.

The decision is well-known for declaring that the federal government must guarantee a "republican form of government" in the states. In this context, Webster argued that people possess the right to overthrow their government as they possess the ultimate sovereignty. True.

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Answer:

Easy

Step-by-step explanation:

Y=5x

I hope this helps

Answer:

3.0

Step-by-step explanation:

bcbcbbcbc

Answer:

I believe C, 8 feet

Step-by-step explanation:

10/16  5/8

Based on the ratio of the weights of objects in Planet A to Planet B, an elephants weighing 4,500 pounds on Planet A would weigh 135 pounds on Planet B

The ratio of the weight of an object in Planet A is 100 to 3 on Planet B. This means that every 100 pounds on Planet A is 3 pounds on Planet B.

If an elephant on Planet A is 4,500 pounds, on Planet B it would weigh:

Weight on Planet B = (4,500 x 3) / 100

Weight on Planet B = 13,500 / 100

Weight on Planet B = 135 pounds

In conclusion, the weight of the elephant on Planet B would be 135 pounds.

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Answer:

w=14

Step-by-step explanation:

Let's solve your equation step-by-step.

710−35w=570−25w

Step 1: Simplify both sides of the equation.

710−35w=570−25w

710+−35w=570+−25w

−35w+710=−25w+570

Step 2: Add 25w to both sides.

−35w+710+25w=−25w+570+25w

−10w+710=570

Step 3: Subtract 710 from both sides.

−10w+710−710=570−710

−10w=−140

Step 4: Divide both sides by -10.

−10w

−10

=

−140

−10

w=14

Answer:

B

Step-by-step explanation:

6-1+11 +8

5x+19

therefore the answer is 5x + 19

The expression which is equivalent to 5x - 19 is D) -3x + 4(2x - 6) + 5.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given an expression,

5x - 19

We have to find the equivalent expression.

Find the value of each expression in the options.

A) 7(4 - 2x) + 9 (x - 1) = 28 - 14x + 9x - 9 = -5x + 19

B) 6x - (x - 11) + 8

= 5x + 11 + 8 = 5x + 19

C) 10 - 3(x - 3) - 2x

10 - 3x + 9 - 2x = -5x + 19

D) -3x + 4(2x - 6) + 5

-3x + 8x - 24 + 5 = 5x - 19

Hence the correct option is D.

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The statement "if p is less than alpha, reject the null hypothesis" is referring to hypothesis testing in statistics. In hypothesis testing, we compare the p-value (probability value) to a pre-determined significance level called alpha (α). The significance level is typically set to 0.05 or 0.01.

Here's a step-by-step explanation of what this statement means:
1. The null hypothesis (H₀) assumes that there is no significant difference or relationship between variables.
2. The alternative hypothesis (H₁) assumes that there is a significant difference or relationship between variables.
3. We conduct a statistical test and obtain a p-value, which represents the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true.

4. If the p-value is less than the significance level (alpha), we reject the null hypothesis. This means that the observed result is unlikely to have occurred by chance, and we have evidence to support the alternative hypothesis.
5. If the p-value is greater than or equal to alpha, we fail to reject the null hypothesis. This means that the observed result could reasonably have occurred by chance, and we do not have enough evidence to support the alternative hypothesis.

For example, if we set alpha to 0.05 and obtain a p-value of 0.02, which is less than 0.05, we would reject the null hypothesis. This suggests that the observed result is statistically significant and supports the alternative hypothesis. However, if the p-value is 0.06, which is greater than 0.05, we would fail to reject the null hypothesis.

In summary, when p is less than alpha, we reject the null hypothesis, indicating that there is evidence to support the alternative hypothesis.

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Answer:

I'm pretty sure that the answer is 55.

Sorry if I'm wrong.

x>2 might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

Given that,

Pens and notebooks used to cost the same, however recently the price of the pen went up by $4 while the price of the notebook went down by $6 from its previous value of $5.

We have to find what might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

We know that,

We get the equation as

x+4>5x-6

By solving the x

The inequality with x<2.5

So, natural number, n=2

x>2

Therefore, x>2 might the original value of both goods have been if the initial price had been a natural number and the pen had been more expensive than the notebook.

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Answer:

circumference=13π cm (see below if you need π approximated)

Step-by-step explanation:

Hi there!

The formula for the circumference of a circle is given as 2πr, where r is the radius and π is pi

we are given that the radius of the circle is 6.5 cm

substitute what we know into the equation:

circumference=2πr

circumference=2π*6.5

circumference=13π cm

some places will accept the answer as 13π, but others ask to have π substituted, usually as 3.14 or 22/7

if you need π substituted as 3.14, the answer will be 40.82 cm

if you need π substituted as 22/7, the answer will be about 40.86 cm

Hope this helps! :)

The given function [cos(7y) cos (3y) - sin (7y) sin (3y)] is equal to cos(10y) as per trigonometric identities.

"Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation. There are various distinct trigonometric identities involving the side length as well as the angle of a triangle."

Given, trigonometric function is: cos(7y) cos (3y) - sin (7y) sin (3y)

We know, cos(A + B) = cos(A) cos(B) - sin(A) sin(B)

Therefore, cos(7y) cos (3y) - sin (7y) sin (3y)

= cos(7y + 3y)

= cos(10y)

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Answer:

Multiply first. PEMDAS - Parenthesis, Exponents, Multiplication, Divison, Addition, Subtraction.

Step-by-step explanation:

15 - 8 = 4 x 7

6 = 36