What is the mean of the data set fifth grade jump distance

To find the margin of error, we need to first determine the formula for it. The margin of error (ME) is calculated by multiplying the critical value of the confidence level (in this case 90%) with the standard error (SE) of the sample mean.

The critical value for a 90% confidence interval can be found using a t-distribution table with n-1 degrees of freedom (where n is the sample size). For a sample size of 30, the degrees of freedom would be 29. Using the table, the critical value for a 90% confidence interval is approximately 1.697.

Next, we need to calculate the standard error. The formula for the standard error of the sample mean is the standard deviation of the population divided by the square root of the sample size. However, we don't know the standard deviation of the population, so we will use the sample standard deviation as an estimate.

Assuming that the sample is representative of the population, we can assume that the sample standard deviation is an unbiased estimate of the population standard deviation. Therefore, we can use the formula:

SE = s / sqrt(n)

where s is the sample standard deviation and n is the sample size.

Since we are not given the sample standard deviation, we cannot calculate the standard error. However, we can use the range of the confidence interval to estimate it. The range of the confidence interval is equal to the margin of error multiplied by 2. Therefore:

ME = (51.3 - 48.7) / 2 = 1.3

Using the formula for the margin of error, we can solve for the standard error:

ME = t*SE

1.3 = 1.697*SE

SE = 0.767

Therefore, the margin of error is approximately 1.3 inches.

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The most suitable data type for storing annual employee salaries ranging from $25,000 to $700,000 would be option (c) decimal(10,4).

Next, we can consider float and double data types, which can store decimal values with a higher range and precision than integers. However, they can be imprecise and cause rounding errors when used to store currency values, which can be a significant issue in financial calculations.

The most appropriate data type for storing currency values is the decimal data type, which is designed to handle decimal values with high precision and accuracy. The decimal data type can store exact numeric values up to 38 digits, with a user-defined scale (the number of digits to the right of the decimal point).

Therefore, option (c) decimal(10,4) would be the best data type for storing annual employee salaries ranging from $25,000 to $700,000.

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Complete Question:

Annual salary of each employee has to be stored in dollars and cents. The salaries vary from minimum of $25,000 to maximum of $700,000. Which of the following would be the most suitable data type?

a) decimal(8.2)

b) decimal

c) decimal(10.4)

d) Small money

e) money

Answer:

-------------------------

AB is the missing hypotenuse of the right triangle with shown legs.

Find AB using Pythagorean theorem:

Find the perimeter:

A confidence interval for the mean is said to be symmetrical around the population mean. Symmetry means that the central tendency measures are equally positioned about the middle of the interval.

When constructing a confidence interval, the interval width on either side of the point estimate is equal (assuming a symmetric distribution). The critical values, the margin of error, and the point estimate are all equidistant from the midpoint of the interval.

This is why a confidence interval for the mean is said to be symmetrical around the population mean. Therefore, a confidence interval for the mean is symmetrical around the population mean as long as the population is normally distributed.

Also, it is worth noting that a confidence interval can only be symmetrical if the sample size is large enough. In the case of a smaller sample size, the distribution of the confidence interval may not be entirely symmetrical and may skew to the left or right. The larger the sample size, the more symmetrical the distribution will be.

A confidence interval is typically expressed in a specific range, such as 95 percent, which means that the population mean is expected to fall within that range 95 percent of the time. In conclusion, the symmetry of a confidence interval around the population mean is important for statistical inference because it ensures that the confidence level is maintained.

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Work Shown:

n(A only) = number of items inside set A only

n(A only) = 12

n(A and B) = 16

n(B only) = 20

n(A or B) = n(A only) + n(A and B) + n(B only)

n(A or B) = 12 + 16 + 20

n(A or B) = 48

n(Total) = n(A only) + n(A and B) + n(B only) + n(Not A, not B)

n(Total) = 12+16+20+24

n(Total) = 72

P(A or B) = n(A or B)/n(Total)

P(A or B) = 48/72

P(A or B) = 0.67 approximately

Answer:

A. isosceles triangle

B. each two angles equal 40°

Step-by-step explanation:

A. the special name for this type of triangle is isosceles triangle.

As isosceles triangles are the triangles whose base angels are equal and the Two sides are equal.

B.

given

one angle = 100°

As it is isosceles triangle so two angles are equal. So let the angle be x

Then

x + x + 100° = 180° [sum of angles of triangle ]

2x = 180° - 100°

2x = 80°

2x = 80°

x = 40°

Hey there ..

Here is ur answer ..

a) Isosceles triangle

b) 40° and 40°

Please read the attachment also ..

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Answer:

-3\(h^{2}\) -17h + 28

Step-by-step explanation:

A function type that could model the given situation is a linear function.

The rate of change in the truck's worth per year is -1400.

A model that describes this situation is y = -1400x + 43500

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (36,500 - 43,500)/(2020 - 2015)

Slope (m) = -7,000/5

Slope (m) = 1,400.

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We need 1.44 ounces of cream and 6.56 ounces of low-fat milk.

To get 8 ounces of whole milk using 10% cream and 2% low-fat milk to create a mixture that contains 2.75% butterfat, you will need 1.44 ounces of cream and 6.56 ounces of low-fat milk. The problem requires us to combine cream and low-fat milk to get a mixture with 2.75% butterfat. To do this, we need to use the rule of proportion to solve for the amount of cream and low-fat milk we need. Let x be the amount of cream in ounces, and y be the amount of low-fat milk in ounces. We are also given that Nancy needs 8 ounces of whole milk that contains 2.75% butterfat: x + y = 8 (total mixture must be 8 ounces) 0.10x + 0.02y = 0.0275(8) (2.75% butterfat)Simplifying the second equation, 0.10x + 0.02y = 0.22. Either substitution or elimination can solve the system of equations. For this problem, we will use the elimination method. Multiplying the first equation by 0.02: 0.02x + 0.02y = 0.16 (multiply 0.02 to both sides)0.10x + 0.02y = 0.22 (from above) Subtracting the second equation from the first: 0.08x = 0.06 x = 0.75 oz (simplify by dividing both sides by 0.08)Substituting the value of x into the first equation: 0.75 + y = 8 y = 7.25 oz (simplify by subtracting 0.75 from both sides) Therefore, we need 1.44 ounces of cream and 6.56 ounces of low-fat milk.

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Answer:

4p-3

Explaination

when we subtract

4p-3 -3p-6

it will give us p _9

The approximate area of the green visible portion of the bottom section is around 33.51 square inches.

Let x be the width of the green visible portion of the bottom section in inches. Then, the width of the yellow top of the bottom section is x + 2, and the width of the yellow top of the upper section is (x + 2) + 2 = x + 4.

Since the area of a circle is given by A = πr^2, and the yellow top of the upper section has an area of 12.56 square inches, we can set up the equation:

12.56 = π((x+4)/2)^2

Simplifying and solving for x, we get:

x ≈ 4.02

Therefore, the width of the green visible portion of the bottom section is approximately 4.02 inches, and its area is:

A ≈ (π/4)(x+2)^2 - 12.56 ≈ 33.51 square inches.

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If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

So, what are the chances of it not occurring in 1 trip?

1−.37=.63

What about not occurring in 2 trips?

(1−.37)⋅(1−.37)=.63⋅.63=.3969

Now what about not occurring in 4 trips?

.63^4 = 0.15752961

We must subtract this value from 1

(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:

1−0.15752961 = .84247039

TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.

Answer: There are no solutions

Answer:

Two

Step-by-step explanation:

x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.

All quadratics have exactly two roots/solutions.

In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.

Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.

Answer:

D) 2

Step-by-step explanation:

16 to the fourth root is what?

We need to find what number multiplied by itself 4 times is 16.

That number is TWO.

Answer:

MN = 14 ft

Step-by-step explanation:

NP tangent => ∡PNM = 90°

Pythagoras

MN = √MP² - NP²

= √50² - 48²

= √(50 - 48)(50 + 48)

= √2×98

= √196

= √14²

= 14 ft

Answer:

B. 3x + 4

Step-by-step explanation:

Perimeter garden = 8x + 8

Perimeter = 2 * length + 2 * width

Width = x

8x + 8 = 2 * length + 2x

8x - 2x + 8 = 2* length

6x + 8 = 2 * length

3x + 4 = length

The probability of running out of muffins today can be calculated by finding the area under the normal distribution curve beyond the quantity of muffins baked, which is 46 in this case.

In order to determine the probability of running out of muffins, we need to calculate the area under the normal distribution curve beyond the quantity of muffins baked, which is 46. The mean of the distribution is 40, indicating that, on average, 40 muffins are sold each day. The standard deviation is 6, representing the typical variability in daily muffin sales.

To calculate the probability, we need to find the area under the normal curve beyond 46. Since the normal distribution is symmetrical, we can calculate the area beyond 46 by finding the area to the left of 46 and subtracting it from 1.

Using the properties of the standard normal distribution, we can standardize the value of 46 by subtracting the mean (40) and dividing by the standard deviation (6). This standardization process gives us a z-score of 1.

Next, we can consult a standard normal distribution table or use statistical software to find the area to the left of 1, which corresponds to the probability of selling fewer than 46 muffins. Subtracting this value from 1 will give us the probability of running out of muffins today.

Please note that in order to generate an accurate probability, it's essential to assume that the sales of muffins follow a normal distribution and that there are no additional factors or circumstances that might affect the sales on this specific day.

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The length of line segment DE is 10 units

A line CE is given, on which three points  C, D and E lies in such a way that

length of line segment CD = 20

length of line segment CE = 32

We need to find the length of line segment DE

We know from the property of a straight line that, sum of all the length of line segments of a line is equal to the total length of the straight line

Therefore, CD + DE = CE

Putting values, we will get

20 + DE = 32

DE = 32 -20

DE = 10

Hence, the length of line segment DE is 10 units

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The rate constants are measured in units of 1/s. The temperatures range from 310 K to 350 K, and the corresponding rate constants increase as the temperature increases.

The rate constant of a reaction is a measure of how fast the reaction proceeds. It is influenced by temperature and is typically determined experimentally. The table provides data on the rate constant at different temperatures.

Upon examining the data, we observe that as the temperature increases from 310 K to 350 K, the rate constant values also increase. This trend suggests that the reaction proceeds at a faster rate at higher temperatures.

The rate constant's dependence on temperature can be explained by the Arrhenius equation, which states that the rate constant is exponentially related to the temperature. As the temperature rises, more reactant molecules possess sufficient energy to overcome the activation energy barrier, leading to an increase in the reaction rate.

The data in the table support this concept, as the rate constants progressively increase with higher temperatures. This information can be utilized to study the reaction kinetics, predict reaction rates at different temperatures, and assess the effect of temperature on the reaction's progress.

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Answer:

4

Step-by-step explanation:

u divide 14 by 2 and then subtract 3

hope this helps!

Answer:

113.1 cm³

Step-by-step explanation:

diameter = 2 X radius

Volume of sphere = (4/3) X π X r ³

= (4/3) π (3)³

= 36π

= 113.1 cm³ to nearest tenth

True. Nonsampling errors refer to errors that occur during the data collection process that are not related to the sampling method used. These errors can occur in any type of data collection method, whether it be through surveys, experiments, or observational studies.

Nonsampling errors can arise due to a variety of reasons, such as poor survey design, biased sampling methods, inadequate training of surveyors, errors in data entry or processing, or even deliberate fraud.

Nonsampling errors can have a significant impact on the quality of the data collected, as they can introduce biases and inaccuracies into the results. These errors can result in incorrect conclusions and decisions based on the data, which can have serious consequences. Therefore, it is important to take steps to minimize nonsampling errors during the data collection process, such as carefully designing surveys, ensuring proper training of surveyors, and conducting thorough quality checks on the data collected.

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Answer:

5029

Step-by-step explanation:

Answer:Algebra Questions, for Grade 10, on simplifying, factoring, evaluating expressions and solving equations are presented along with their answers

Step-by-step explanation:

I do not know if this helps or not but here you go!

Answer:

56.644 m^2

Step-by-step explanation:

It's a rule that if the ratio of the sides of 2 similar figures is a:b, the ratio of their areas is a^2:b^2. (I may not be using the standard variables or the exact wording here, but that's the basic idea.)

You can simplify this and understand it with squares. All squares are similar, right? Imagine a 2 in. by 2 in. square and a 4 in. by 4 in. square. The ratio of their sides is 2:4, or 1:2. (The ratio of their perimeters is the same thing. 2*4=8 inches for the smaller square, and 4*4=16 for the bigger square. 8:16=1:2) The ratio of their areas is 4:16, or 1:4. (1/2)^2=1/4

The same thing applies here. The perimeter of the larger figure divided by the perimeter of the smaller one is 34/20=1.7. That means that the area of the larger figure divided by the area of the smaller one is 1.7^2, or 2.89. You can write an equation where x is the area of the larger one:

x/19.6=2.89

x=56.644 m^2

Hope I could help you!

Answer:

2000

Step-by-step explanation:

there are 1000 grams in kilo so just multiply that by two to get your answer

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Answer

A) f(w) = 80w + 30

B) w represents the number of weeks and f(w) the number of flowers that bloomed

C) 2830 flowers

Step-by-step explanation

A) To find the function f, which represents the number of flowers that bloomed, as a function of w, the number of weeks, we have to evaluate f(s) with s = s(w) = 40w, as follows:

B) w represents the number of weeks and f(w) the number of flowers that bloomed, like before.

C) Substituting w = 35 weeks into f(w), we get:

The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.

You may also refer to it as a quadrilateral that is equiangular, meaning that all of its angles are equal. The parallelogram could alternatively have a straight angle. Rectangles with four sides that are all the same size are called squares. Four 90-degree vertices and equal parallel sides make up a quadrilateral with the rectangular shape. A rectangle is also referred to as a parallelogram since its opposing sides are parallel and equal.

given

Area of Figure = Area of Rectangle + Area of Triangle 

= l*b+ 1/2*b*h 

= 10 * 20 * 1/2 * 15 * 10 

= 275cm2

The area of the figure, which has a triangle and a rectangle with the same height, is 275 cm2.

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