7 and 8 please. This is a list of criminal record convictions of a cohort of 395 boys obtained from a prospective epidemiological study. Ntmibetaticometeuone 0 265 49 1.Calculate the mean number of convictions for this sample 2.Calculate the variance for the number of convictions in this sample. 3.Calculate the standard deviation for the number of convictions in this sample. 4.Calculate the standard error for the number of convictions in this sample 5. State the range for the number of convictions in this sample 6. Calculate the proportion of each category i.e.number of convictions). 7. Calculate the cumulative relative frequency for the data 8. Graph the cumulative frequency distribution. 1 21 19 18 10 2 10 11 12 13 1

Answer:

2,100 ml

Step-by-step explanation:

she has 3.6 L and 1 L = 1,000 ml so multiply 3.6 by 1,000 and you get 3,600 ml. She has 3,600 ml and fills a bottle with 1,500 ml so you subtract 3,600-1,500.

Answer:

1

Step-by-step explanation:

The difference of 12 and 9 is 12 - 9 = 3

Then 3 ÷ 3 = 1

Answer:

2.32

Step-by-step explanation:

multiply 57.84 x 4 = 231.36

divide 231.36 / 100 = 2.31 but if you estimate then its 2.32

Answer:

see below

Step-by-step explanation:

Take the number of people surveyed and multiply by 30 %

8 * 30%

Change to decimal form

8 * .3

2.4

About 2.4 will purchase online

Answer:

25

Step-by-step explanation:

Arrange numbers to ascending order :

5,8,10,20,25,30,35,40,45

Cross of the smallest and biggest number until you left with one in the middle

Answer:

3

Step-by-step explanation:

Answer:

6 x 1.5 = 9 => 0.25 yards

Step-by-step explanation:

6 in a line, means times 6. Times do unit converison to get 0.25 yd.

Answer:

1. Equation: x/-9=-16

solution: x=144

2. Equation:15*x=-75

solution: x=-5

3.Equation:0.75n=36

solution: n=48

Step-by-step explanation:

In statistical inference, hypothesis testing is used to make conclusions about a population based on a sample data. the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc.

It involves testing a statement or assumption about a population parameter using the sample statistics. Hypothesis testing is used to evaluate the likelihood of a statement being true or false by calculating the probability of obtaining the observed sample data, assuming the null hypothesis is true. The null hypothesis is the statement that is being tested and the alternative hypothesis is the statement that is accepted if the null hypothesis is rejected.
The answer to the question is d) the unknown value of a parameter. A parameter is a numerical characteristic of a population, such as mean, standard deviation, proportion, etc. Hypothesis testing is used to test statements about the unknown values of these parameters. The sample data is used to calculate a test statistic, which is then compared to a critical value or p-value to determine whether to reject or fail to reject the null hypothesis.
In summary, hypothesis testing is a powerful statistical tool used to make conclusions about a population parameter using sample data. It is used to test statements about unknown values of population parameters, and the answer to the question is d) the unknown value of a parameter.

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When sampling without replacement, the standard deviation (SD) of a binomial distribution can be calculated using the following formula:

SD = sqrt((N - n) * p * (1 - p) / (N - 1))

where N is the population size, n is the sample size, and p is the probability of success (in this case, the proportion of echidnas with diets consisting mostly of termites).

Given that the population proportion of echidnas with termite diets is 40% (or 0.4) and the sample size is 20, we can calculate the standard deviation.

SD = sqrt((N - n) * p * (1 - p) / (N - 1))

= sqrt((N - 20) * 0.4 * (1 - 0.4) / (N - 1))

Since we don't have information about the total population size (N), we cannot calculate the exact standard deviation.

However, we can provide an estimation by assuming a large population, which means that the difference between N and N-1 is negligible.

Let's assume N is large, so N - 1 ≈ N:

SD ≈ sqrt((N - 20) * 0.4 * (1 - 0.4) / N)

≈ sqrt(0.24 * (N - 20) / N)

Given the answer choices provided, we can estimate the closest value to the standard deviation.

Let's substitute different values for N and find the closest answer choice.

For N = 100, we have:

SD ≈ sqrt(0.24 * (100 - 20) / 100)

≈ sqrt(0.24 * 80 / 100)

≈ sqrt(0.192)

≈ 0.438

For N = 200, we have:

SD ≈ sqrt(0.24 * (200 - 20) / 200)

≈ sqrt(0.24 * 180 / 200)

≈ sqrt(0.216)

≈ 0.465

Out of the provided answer choices, the closest value to the estimated standard deviation of 0.465 is 0.4.

Therefore, 0.4 is the closest choice to the standard deviation of x.

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Answer: See explanation

Step-by-step explanation:

A. Calculate the amount of money Oliver saves in one week.

This will be:

= 10% × $520

= 1/10 × $520

= 0.1 × $520

= $52

B. There are 52 weeks in one year. If Oliver saves the same amount each week for 6 months, how much will he save?

This will be:

= $52 × 52weeks/2

= $52 × 26

= $1352

Note that 6 months will be:

= 52 weeks/2

= 26 weeks.

Answer:

CA

Step-by-step explanation:  I just took the quiz

Answer:

D. CA

Step-by-step explanation:

For ap3x

Answer

D. Dropoff location

Step-by-step explanation

Quantitative variables are any variables where the data represent amounts (e.g. surface area, weight, or volume of a package). Categorical variables are any variables where the data represent groups (for example classifications like cities or brands).

The number of triangles is (a) 1 triangle

From the question, we have the following parameters that can be used in our computation:

m/A = 51°, a = 22,b = 27

There is only one triangle that can be created using the given parameters

This is so because the given information provides the angle measure of one angle of the triangle and the lengths of the two sides adjacent to that angle.

These three pieces of information (angle measure and two side lengths) are enough to determine the unique triangle.

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Answer:

BC- AB < CA < AB + BC

Step-by-step explanation:

The sides opposite the larger angles are longer than the sides opposite smaller angles.

So, BC (opposite < A) is longer than AB (opposite < C) so,

BC > AB

The other side AC cannot be greater than AB + BC, otherwise the triangle would not exist, so,

AC < AB + BC

Also, CA > BC - AB  

The range for AC is

BC- AB < CA < AB + BC

The possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10

If x^2+ax+25 is the square of a binomial, then it can be expressed in the form (x+b)^2 = x^2+2bx+b^2. Comparing the two expressions, we get:

a = 2b

25 = b^2

Solving for b in the second equation, we get:

b = ±5

Substituting this into the first equation, we get:

a = ±10

Therefore, the possible values of a for which x^2+ax+25 is the square of a binomial are +10 and -10, and these values will make b equal to +5 or -5, respectively.

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Answer:

x = 20

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.  

This relationship is represented by the formula: a*a + b*b = c*c

\(\sqrt{16^2 + 12^2}\) = x  

Probability sampling procedures are instances where every unit in the population has a non-zero chance of being selected. (Option a)

Probability sampling is a type of sampling method used in statistical analysis, where each member of the population has a known and equal probability of being selected. This means that every possible unit in the population has a non-zero chance of being selected for the sample.

Probability sampling methods include simple random sampling, systematic sampling, stratified sampling, and cluster sampling. These methods are typically used when population parameters are unknown or when the researcher wants to make generalizations about the population based on the sample data.

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Answer:

11/6 or 1.8333333333

Step-by-step explanation:

\(\frac{2x + 1}{6}\) = \(\frac{7}{9}\)

Cross Multiply:

7 x 6 = 42

9 (2x+1)

42 = 9(2x+1)

42 = 18x + 9

Then, isolate the variable. In order to do so, subtract 9 from both sides.

33 = 18x

Now, divide by 18 (to find x)

33/18 =

1.8333333 or 11/6

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The population, P, of a city is changing at a rate dP/dt = 0.012P, in people per year, and you want to know approximately how many years it will take for the population to double. To solve this problem, we can use the formula for exponential growth:P(t) = P₀ * e^(kt)

Here, P₀ is the initial population, P(t) is the population at time t, k is the growth rate, and e is the base of the natural logarithm (approximately 2.718).Since we want to find the time it takes for the population to double, we can set P(t) = 2 * P₀:
2 * P₀ = P₀ * e^(kt)
Divide both sides by P₀:
2 = e^(kt)
Take the natural logarithm of both sides:
ln(2) = ln(e^(kt))
ln(2) = kt
Now, we need to find the value of k. The given rate equation, dP/dt = 0.012P, tells us that k = 0.012. Plug this value into the equation:
ln(2) = 0.012t
To find t, divide both sides by 0.012:
t = ln(2) / 0.012 ≈ 57.762 years
So, it will take approximately 57.762 years for the population to double.

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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:

10.

A = 12² - 2(6×5)

A = 144 - 2×30

A = 144 - 60

A = 84 in²

11.

A = π(12/2)² - (π3² + 3×6)

A = π36 - (π9 + 18)

A = π36 - (π3² + 18)

A = 113.04 - (28.26 + 18)

A = 66.8 yd²

12.

A = 9² - (10×2 + π3²)

A = 81 - (20 + 28.26)

A = 81 - 48.26

A = 32.7 m²

If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.

Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.

Mathematical operations help us to determine unknown values, given a known domain.

Increase in school enrollment over last year's = 6%

Enrollment for the current year = 1,378

Let last year's enrollment = 100%

And the current year's = 1.06 (100 + 6)

Therefore, the enrollment last year = 1,300 (1,378/1.06)

Thus, the enrollment (number) last school year was B. 1,300.

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To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.

This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.

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Answer:

When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.

Step-by-step explanation:

its easy as 1, 2, 3  lol

Answer:

When we multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When we divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.

If they give up 20 yards on the opening play, they're out. The ball is on the 30-yard line.

The starting line is the 50-yard line.

The new yard line following the first play Equals (The yard line following the first play) - (The number of yards lost)

As the football team lost 20 yards after the first play.

After the second play, the new yard line is 50 - 20 = 30 yards.

After the second play, the new yard line is 30.

The ball was on the 30-yard line at the end of the second play.

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When point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

Point P is on line segment OQ

The length of the line OQ = The length of the line PO + The length of the line PQ

The length of the line OQ = 2x

The length of the line OP = x

The length of the line PQ = 10

Substitute the values in the equation

2x = x+10

2x - x = 10

x = 10

Then the length of OQ is

2x = 2×10

= 20 units

Hence, when point P is on line segment OQ, and the length of OQ = 2x, OP = x and PQ = 10 then the length of the line OQ is 20 units

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The general solution to the differential equation y'' + 16y = 0 is y(x) = (c₁ + c₂) * cos(4x)

To solve the differential equation y'' + 16y = 0 using reduction of order, we'll assume a second solution of the form y₂(x) = u(x) * y₁(x), where y₁(x) is a known solution and u(x) is an unknown function.

Given y₁(x) = cos(4x), we'll differentiate it to find y₁'(x) and y₁''(x):

y₁'(x) = -4sin(4x)

y₁''(x) = -16cos(4x)

Now we substitute y₂(x) = u(x) * y₁(x) into the original differential equation:

y'' + 16y = 0

(-16cos(4x)) + 16(u(x) * cos(4x)) = 0

Simplifying the equation:

-16cos(4x) + 16u(x) * cos(4x) = 0

cos(4x)(-16 + 16u(x)) = 0

For this equation to hold for all values of x, we must have (-16 + 16u(x)) = 0.

Solving for u(x):

-16 + 16u(x) = 0

16u(x) = 16

u(x) = 1

Now we have the second solution:

y₂(x) = u(x) * y₁(x)

y₂(x) = 1 * cos(4x)

y₂(x) = cos(4x)

Therefore, the general solution to the differential equation y'' + 16y = 0 is:

y(x) = c₁ * y₁(x) + c₂ * y₂(x)

y(x) = c₁ * cos(4x) + c₂ * cos(4x)

y(x) = (c₁ + c₂) * cos(4x)

Where c₁ and c₂ are arbitrary constants.

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1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.

2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.

The additive identity property states that the sum of adding zero to any number will give you the same number itself.

For example, 4 + 0 = 0.

The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.

For example, 4 × 1 = 4.

1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.

2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.

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