Which expression represents:
5 more than the product of 2 and a number

The most likely action that the researcher will take will depend on the specific details of the experiment, the resources available, and the scientific objectives of the study. However, the researcher should aim to address the sources of uncertainty and variability in the data to obtain a more accurate estimate of the response time that can be of practical use.

The wide confidence interval indicates that there is a large amount of uncertainty in the estimate of the average response time. To obtain a more precise estimate, the researcher may need to increase the sample size or use a different experimental design to reduce variability and improve the accuracy of the estimate.

Alternatively, the researcher may need to revise the methodology or protocol to identify potential sources of error or bias in the data collection process. For instance, if the stimulus is poorly calibrated, or if the mice are not acclimated to the testing environment, this could contribute to variability in the response time.

Another possibility is to explore alternative statistical methods that may provide a more precise estimate of the response time. For instance, if the distribution of response times is known to be skewed, the researcher could use a nonparametric method to estimate the median response time instead of the mean.

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Answer:

$48

no idea how working out would go

Answer: $48

Step-by-step explanation: First convert 20% to a decimal which is 0.2 or 0.20.

Then multiply 60 x 0.20 which equals 12.

Because it is a markdown then you must subtract 12 from 60 which gives you the answer $48.

I hope this helps!! Good Luck!

(275 + 325) / 25

= 600/25

=24

Answer:

\(24\)

Step-by-step explanation:

\(275 + 325 \\ =60 0 \div 25 \\ = 24\)

The distance that the seaplane can travel in 1/2 hour is 1,350 kilometers.

Speed is simply referred to as distance traveled per unit time.

Speed is expressed mathematically as;

Speed = Distance ÷ time.

Given the data in the question;

First, we determine the speed of the seaplane.

Speed = Distance ÷ time.

Speed = 1800 ÷ 2/3 hr

Speed = 2700 km/h

Now, distance traveled by the seaplane in 1/2 hour will be;

Speed = Distance ÷ time.

Distance = speed × time

Distance = 2700 km/h × 1/2 h

Distance = 1,350km

Therefore, the distance traveled is 1,350 kilometers.

Option C is the correct answer.

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there is a 5% probability of rejecting a false null hypothesis and hence c is correct option

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Testing hypotheses is a crucial component of empirical research and evidence-based medicine. A well-developed hypothesis is only half the solution to the research problem. Working understanding of fundamental statistical principles is preferred for this, as well as subject-specific knowledge gleaned through a thorough survey of the literature.

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This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.

This can happen when a spreadsheet is extremely large, has many complex formulas or when a large number of calculations are performed simultaneously. To resolve the issue, you can try closing other programs and processes running on your computer, increasing the amount of memory allocated to Excel, breaking down a large spreadsheet into smaller spreadsheets, or simplifying the formulas in your spreadsheet. If these steps do not work, you may need to seek assistance from a technical support expert. This error message typically occurs when Microsoft Excel is unable to perform a calculation due to running out of memory or system resources.

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The number of tennis rackets sold by dealer for $18 is 120.

Let "x" be the number of tennis rackets that sell for $18 each.

Then, 200 - x be the number which sell for $33 each.

The total cost is $4,800.

18x + 33(200 - x) = 4800

18x + 6600 - 33x = 4800

-15x = -1800

x = 120

Thus, the number of tennis rackets sold by dealer for $18 is 120.

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Answer: Cumulative frequency distribution

Step-by-step explanation: Not entirely sure but I believe you are looking for this definition based on the question. Hope this helps :)

Factoring, utilizing square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic equations.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a ≠ 0) for an equation to be a quadratic equation. The x² term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are often expressed as integral values rather than fractions or decimals.

Factoring, utilizing square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic problem.

To factor an equation with quadratic terms:

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The ratio of the area of the smaller square to the area of the larger square = 4 : 49

Let the perimeter of the small square be \(P_1\)

Lethe the perimeter of the large square be \(P_2\)

Perimeter of a square = 4 Length

\(P_1=4L_1\\\\P_2=4L_2\)

The ratio of the perimeters = 2:7

\(\frac{4L_1}{4L_2} =\frac{2}{7} \\\\\frac{L_1}{L_2} =\frac{2}{7}\)

The area of a square = L^2

\((\frac{L_1}{L_2} )^2=(\frac{2}{7} )^2\\\\\frac{L_{1} ^{2} }{L_{2} ^{2}} =\frac{2^2}{7^2} \\\\\frac{L_{1} ^{2} }{L_{2} ^{2}} =\frac{4}{49}\)

Therefore, the ratio of the area of the smaller square to the area of the larger square = 4 : 49

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Answer: -5r+8r+5=3r+5

Step-by-step explanation:

First add like terms, so -5r and 8r. For a second lets pretend the r doesn't exist. So, what is -5 + 8, 3, so 3r. Since 3r and 5 cannot be combined, the equivalent expression is 3r+5.

Answer:

x is all real numbers

Step-by-step explanation:

The domain is the input to the function.  It is the values that x can take.

For this function, x can be any real value

Answer:

423

Step-by-step explanation:

Number of trees to be planted = 425

Number of places where equal number of plants are to be planted = 47

The number of plants to be planted in each place is

\(\dfrac{425}{47}=9.04255...\approx 9\)

So, in each place 9 trees have to be planted.

Hence, the number of plants he will plant is \(47\times 9=423\).

Number of trees remaining will be

\(425-9\times 47=2\)

So, Franco can take home 2 plants for his own yard.

In this case, the mean is 5.5 cm and the standard deviation is 0.1 cm. So, one standard deviation below the mean is 5.4 cm and one standard deviation above the mean is 5.6 cm. Therefore, about 68% of the data falls between 5.4 cm and 5.6 cm, which includes the range of 5.3 cm to 5.7 cm.

Your question involves a normal distribution with a mean (µ) of 5.5 cm and a standard deviation (σ) of 0.1 cm. You want to find the percentage of data between 5.3 cm and 5.7 cm.

First, we need to standardize the scores using the z-score formula: z = (x - µ) / σ

For 5.3 cm: z1 = (5.3 - 5.5) / 0.1 = -2
For 5.7 cm: z2 = (5.7 - 5.5) / 0.1 = 2

Now, referring to a standard normal distribution table or using a calculator, we find the area between these z-scores:

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

P(-2 < z < 2) = P(z < 2) - P(z < -2) = 0.9772 - 0.0228 = 0.9544

Converting it to a percentage, we get 95.44%, which is approximately 95%.

So, the answer is A. 95%.

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Answer:

ai = 190.0

Step-by-step explanation:

I'll presume the sequence is arithmetic, simply because assuming the series is mathematical, there is more than one solution.

Assuming the series is comprised of numbers in an arithmetic progression, you will have...  (see attachment for better explanation and step by step.)

The maximum volume of the prism is 1728 cubic centimeters.

To find the dimensions of the prism with maximum volume, we need to consider the relationship between the volume of the prism and its dimensions.

Let's assume the base of the right triangular prism is an isosceles right triangle with legs of length 'a'. The height of the prism will be 'h'. The prism is inscribed in a hemisphere with a radius of 12 cm.

First, let's determine the relationship between 'a' and 'h'. Since the base of the prism is on the great circle of the hemisphere, the hypotenuse of the triangular base is equal to the diameter of the hemisphere, which is twice the radius. Therefore, the hypotenuse of the base is 2 * 12 = 24 cm.

By using the Pythagorean theorem, we can find 'a':

a^2 + a^2 = 24^2

2a^2 = 576

a^2 = 288

a = √288

Now, let's find the height 'h' of the prism. The height 'h' is equal to the radius of the hemisphere, which is 12 cm.

Therefore, the dimensions of the prism for maximum volume are:

Base length (a) = √288 cm

Height (h) = 12 cm

To find the maximum volume, we can use the formula for the volume of a right triangular prism:

Volume = (1/2) * a^2 * h

Substituting the values, we get:

Volume = (1/2) * (√288)^2 * 12

= (1/2) * 288 * 12

= 1728

Hence, the maximum volume of the prism is 1728 cubic centimeters.

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A suitable process to model the accumulated damage up to time t, given that shocks occur according to a Poisson process of intensity lambda, is the Compound Poisson Process.

In a Compound Poisson Process, the number of shocks occurring up to time t follows a Poisson distribution with parameter lambda*t, while the magnitude of each shock's damage is determined by an independent and identically distributed (i.i.d.) random variable. The total damage up to time t is the sum of the damages caused by each individual shock. This process combines the random arrival of shocks from the Poisson process and the variability in damage caused by each shock. By modeling the damage accumulation in this way, we can capture both the randomness in the arrival of shocks and the uncertainty in the amount of damage caused by each shock.

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Answer:

Putting x=5 in \(f(x)=\{5^x\}-3\) we get f(5)=3122

Step-by-step explanation:

We need to evaluate \(f(x)=\{5^x\}-3\) when f(5)

Finding f(5) we need to put x=5

\(f(x)=\{5^x\}-3\\x=5\\f(5)=\{5^5\}-3\\f(5)=3125-3\\f(5)=3122\)

So, f(5)=3122

Putting x=5 in \(f(x)=\{5^x\}-3\) we get f(5)=3122

Answer:

y=-2/1 -5

Step-by-step explanation:

The y-intercept is -5 because the blue line goes through the y-axis at -5 and the slope is -2/1 because you take two points where the blue line goes through and perform the rise over run method to get the slope.

Answer:

c

Step-by-step explanation:

$376.35 / 4 does equal to $94.0875 but when it comes to money, it should be rounded to the nearest cent being $94 and .08 cents.

Probability of the number being part of A∩B= 2/9

The Venn diagram, a style of diagram that illustrates the logical connection between sets, was created by John Venn in the 1880s. The examples are used to illustrate fundamental set connections and introduce basic set theory in the fields of probability, logic, statistics, linguistics, and computer science.

A Venn diagram is a type of visual representation that uses circles to show the relationships between various items or constrained groups of objects. Circles that coincide and those that intersect have certain properties in common. Venn diagrams are helpful for visually illustrating the relationship and differences between two ideas.

The probability of an occurrence is a figure used to indicate the likelihood that the event will occur. It is expressed as a figure between 0 and 1, or between 0% and 100%, when expressed as a percentage. The likelihood that the occurrence will occur increases with the probability.

In this question,

A∩B= 4,9

Probability of the number being part of A∩B= 2/9

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Answer:

66/29

Step-by-step explanation:

-9x - 21 = 20x - 87

Add 87 to both sides to cancel out the -87 on the right side:

-9x + 66 = 20x

Add 9x to both sides to cancel out the -9x on the left side:

66 = 29x

Divide both sides by 29 to isolate the variable:

66/29 or 2.275862....

Answer:

5r³ - 34r² + 44r - 16

Step-by-step explanation:

use the distributive property

5r × (r² − 6r + 4) - 4× (r² − 6r + 4)

5r³ - 30r² + 20r - 4r² + 24r - 16

combine like terms

5r³ - 30r² - 4r² + 20r + 24r - 16

5r³ - 34r² + 44r - 16

Hope this helped!!

Answer:

A. 5r3 − 34r2 + 44r − 16

Step-by-step explanation:

By dοing the mental math, the summatiοn is 300.

Use mental math: If the numbers are small, yοu can add them up in yοur head.

Use rοunding: Rοund the numbers tο the nearest ten οr hundred, add them up, and then adjust fοr the rοunding errοr.

We can grοup the numbers in pairs with οne easy-tο-add number and οne slightly harder-tο-add number: (39+61) + (87+13) + 62 + 38

We can simplify this further: 100 + 100 + 62 + 38

Nοw we can add the remaining numbers easily: 200 + 100

Sο the final οrder in which we cοuld mοst easily add the numbers is: (39+61) + (87+13) + 62 + 38 = 200 + 100 = 300

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Answer:

y = 15

x = 12

Step-by-step explanation:

Bc 12 + 15 = 27 and 15 = 12 + 3

Approximately 9.5% of the racers did not complete the marathon.

The total of those who quit and those who were disqualified represents the number of runners who did not finish the marathon

Number who did not complete = 12 + 8 = 20

To find the percentage of racers who did not complete the marathon, we need to divide this number by the total number of racers who started the marathon (210) and multiply by 100

Percentage who did not complete is

= (20 / 210) x 100

= 9.523%

Rounding this to the nearest tenth of a percent gives us a final answer of 9.5%. Therefore, approximately 9.5% of the racers did not complete the marathon.

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The quadratic equation that we need to solve is:

96 = 208 - 16t^2

And the solution is t = √7

We know that the height equation is the quadratic equation below:

h = h0 - 16t^2

If the initial height is 208, then we can write:

h = 208 - 16t^2

Now we can find how long takes to reach a height of 96 feet, then we can write:

96 = 208 - 16t^2

That is the equation we need to solve.

Solving that for t we will get:

96= 208 - 16t^2

16t^2 = 208 - 96

16t^2 = 112

t^2 =112/167

t = √7

The correct option is the last one.

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Answer:$10

Step-by-step explanation:

Assume 20% = 0.20

50 x 0.20 = 10

OR

Move the decimal one place to the left for 10 percent, and double it to get 20 percent.

Answer:

Suppose 20% Equals 0.20.

50 x 0.20 = 10

To acquire 10%, move the decimal one position to the left, and to reach 20%, double it.

Step-by-step explanation: