In a large population of college-educated adults, the mean IQ is 112 with standard deviation 50.62. Suppose 30 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is: a. approximately Normal, with mean 112 and standard deviation 1.443. b. approximately Normal, with mean 112 and standard deviation 4.564. c. approximately Normal, with mean equal to the observed value of the sample mean and standard deviation 25. d. approximately Normal, with mean 112 and standard deviation 9.241.

Yes true ,Here are some examples of equations that could be true for a square:Side Length,Diagonal Length and Coordinates of Vertices

Equations that could be true for a square might involve its side length, diagonal length, or Coordinates of its vertices

Without the specific equations provided, it is not possible to determine which equation is true for the square ABCD. However, I can provide some general information about the properties of squares and equations that may be relevant.

A square is a special type of quadrilateral with four congruent sides and four right angles. The sides of a square are perpendicular to each other, and all angles are equal to 90 degrees.

Equations that could be true for a square might involve its side length, diagonal length, or coordinates of its vertices.

1. Side Length: If s represents the length of a side of the square, an equation could be s = 10, indicating that each side of the square measures 10 units.

2. Diagonal Length: If d represents the length of a diagonal of the square, an equation could be d = 2s, where s is the side length. This equation states that the diagonal length is equal to twice the side length.

3. Coordinates of Vertices: If A, B, C, and D represent the vertices of the square, equations could be based on their coordinates. For example, A(0, 0), B(0, s), C(s, s), D(s, 0) represents the vertices of a square with side length s.

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The possible remainders of set S= {1, 4, 9, 16, 25, 36, …} of all perfect squares in Z, are 0, 1, 2 and 4.

For each of the possible remainder r, there are at least two examples of elements in S with that remainder.

First, note that each square of an integer number can be expressed as one of the four remainders when divided by 7; i.e., 0, 1, 2, 4.

Therefore, all the possible remainders when the elements of S are divided by 7 are 0, 1, 2 and 4.

- For the remainder 0: the perfect squares, such as 7²=49, 14²=196, 21²=441, 28²=784, etc. belong to this category.
- For the remainder 1: the perfect squares, such as 1²=1, 8²=64, 15²=225, 22²=484, etc. belong to this category.
- For the remainder 2: the perfect squares, such as 3²=9, 10²=100, 17²=289, 24²=576, etc. belong to this category.
- For the remainder 4: the perfect squares, such as 2²=4, 9²=81, 16²=256, 23²=529, etc. belong to this category.

Therefore, we can say that the possible remainders of set S= {1, 4, 9, 16, 25, 36, …} of all perfect squares in Z, are 0, 1, 2 and 4. For each of the possible remainder r, there are at least two examples of elements in S with that remainder.

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Answer:

512cm²

Step-by-step explanation:

1/2bh*2 = 1/2(4)(10)(2)=40

Each triangle is 40

18*8=144

Each rectangle is 144

144+144+144+40+40=512cm²

The required value of the given expression at z = 6 is 51.

Given that,
The value of the expression z² + 3z - 3 is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
= z² + 3z - 3
Put z = 6 and simplify the expression,
= 6² + 3(6) - 3
= 36 + 18 - 3
= 54 - 3
= 51

Thus, the required value of the given expression at z = 6 is 51.

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Answer:

1st choice c>190.29

Step-by-step explanation:

First I subtracted 668 from 2000 ad got 1332. I then divided 1332 by 7 since they are collecting cans on the final 7 days. and got 190.285714286. When I round up the answer I got 190.29. Now I can immediately know that the 2nd choice is wrong. In the first sentence of the question, it said "more than 2,000" so based on that I know it's the answer choice with the greater than sign.

Hope this help you :)

Answer:

the third one or C

Step-by-step explanation:

2000-668=1332

1332÷7= 190.285

round

190.29

C > (pretend their is a line under the >) 190.29

The option second similar, AA similarity; ΔJDC is correct because one vertically and one corresponding angles are same.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

As we can see in the pair of triangles:

Angle KJL = Angle DJC (vertically opposite angles)

Angle JDC = Angle JKL  (corresponding angles)

The pair of triangles are similar by AA.

Thus, the option second similar, AA similarity; ΔJDC is correct because one vertically and one corresponding angles are same.

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There are 64 degrees of freedom for the test for independence in this contingency table.

To find the degrees of freedom for a test for independence in a contingency table, you can use the following formula:
Degrees of freedom (df) = (number of rows - 1) * (number of columns - 1).
In your case, the contingency table has nine rows and nine columns. Using the formula:
df = (9 - 1) * (9 - 1)
df = 8 * 8
df = 64.

In a contingency table, the degrees of freedom (df) for the test of independence are calculated as:

df = (number of rows - 1) x (number of columns - 1)

In this case, the contingency table has nine rows and nine columns, so the degrees of freedom are:

df = (9-1) x (9-1) = 64

This means that there are 64 degrees of freedom for the test of independence.

Degrees of freedom are important because they determine the critical values for the test statistic, which in turn affects the decision to reject or fail to reject the null hypothesis.

In general, as the degrees of freedom increase, the critical values decrease, making it easier to reject the null hypothesis.

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There are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

To determine the degrees of freedom for the test for independence in a contingency table with nine rows and columns, we use the formula df = (r-1)(c-1), where r is the number of rows and c is the number of columns.

Substituting in the values, we get:df = (9-1)(9-1)df = 8 x 8df = 64A contingency table is a table that shows the frequency distribution of two or more categorical variables.

A test for independence is a statistical test that checks whether the variables are related or not.

Therefore, there are 64 degrees of freedom for the test for independence in a contingency table with nine rows and columns.

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Answer:

5/8

Step-by-step explanation:

if you have a 3/8 chance what you would do is subtract 3 from 8 and get 5 so your answer would be 5/8

Answer:

5/8

Step-by-step explanation:

Given;

The  probability of it raining on a give day is 3/8

To Find;

what is probability of it not raining

Solve;

Since, the probability it will rain is 3/8

Hence we know that the total is 8

Thus, 8/8 - 3/8 = 5/8

Hence, the probability of it not raining is 5/8

~Learn with Lenvy~

The probability that you have written the first 2 digits of your phone number is 1/90

The number is given as:

0 - 9 i.e 10 digits

The selection is without replacement

This means that the first selection can be any of the 10 digits, while the second selection can be any of the remaining 9 digits

So, the number of selections is

Selection = 10 * 9

Evaluate

Selection = 90

The probability is represented as:

P = 1/Selection

This gives

P = 1/90

Hence, the probability that you have written the first 2 digits of your phone number is 1/90

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Answer:

m = -12

Step-by-step explanation:

everything is ok til the 3rd equation line

-15m - 30 = -12m + 6

-30 - 6 = -12m + 15m

-36 = +3m

-36/3 = m--------> 3 x -12 = - 36

-12 = m

Answer: 12.84

Step-by-step explanation:

if x = 3.2 and y = 6.1  and Z = 0.2

then plug in the numbers

(3.2)(0.2) + (6.1)(2)

0.64 + 12.2 = 12.84

Any variable next to a number means multiplication.

if I was wrong lmk

Answer:

5

Step-by-step explanation:

We cannot repeat an x value for the relation to be a function

Since x=3 ,4, 7 are already used

We must let x=5

True. The equation

x = p + tv

describes a line through vector v parallel to vector p.

The equation x = p + tv represents a parameterized line equation, where x, p, and v are vectors, and t is a scalar parameter. In this equation, p represents a point on the line, and v represents the direction or slope of the line.

By adding the scalar multiple tv to the point p, we can obtain various points along the line. The scalar t determines the position of each point relative to the point p. As t varies, the resulting points lie on a line that is parallel to vector p and passes through vector v.

Therefore, the statement is true. The equation

x = p + tv

describes a line through vector v parallel to vector p.

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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Answer:

3x-5

Step-by-step explanation:

That's the answer

Answer:

number of photos: 8, 12, 20, 28, 40

time (minutes): 2, 3, 5, 7, 10

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

there are 36 inches in a yard. Multiply 36 by 7 which gives you 252 inches.

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Scatter graphs are used to represent data by using dots or symbols to represent data on two variables. There are two axes, a horizontal (x-axis) and a vertical (y-axis), where the horizontal axis is used for one variable and the vertical axis is used for the other variable. the statement is true.

Scatter graphs can be used to answer different questions about data by analyzing the pattern of the data. The questions that we want to answer using the scatter graph given in the question are:

a) The same athlete had the longest javelin throw and the longest discus throw.

b) The shortest javelin throw was longer than the shortest discus throw.

c) The longest discus throw was shorter than the longest javelin throw.

Answer: a) The same athlete had the longest javelin throw and the longest discus throw. This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph.

The athlete who had the longest javelin throw also had the longest discus throw. Therefore, the statement is true.

b) The shortest javelin throw was longer than the shortest discus throw.

This statement can be observed from the scatter graph by identifying the dots that are the lowest and on the left of the graph.

The shortest javelin throw is longer than the shortest discus throw. Therefore, the statement is true. c) The longest discus throw was shorter than the longest javelin throw.

This statement can be observed from the scatter graph by identifying the dots that are the highest and on the right of the graph. The longest discus throw is shorter than the longest javelin throw. Therefore, the statement is false.

To conclude, scatter graphs are used to represent data by using dots or symbols to represent data on two variables. They can be used to answer different questions about data by analyzing the pattern of the data.

The scatter graph in the question can be used to determine whether a statement is true or false by identifying the dots that represent the data.

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Answer:

7.49

Step-by-step explanation:

Well first you have to find how much the bike lock cost.

8.75 x 0.2

1.75 = how much 20% of 8.75 is

8.75-1.75

7 = the cost of the bike lock with the 20% markdown

Now you have to find the sales tax.

7 x 0.07

0.49

7 + 0.49

7.49 = total cost with all the stuff

Hopefully this was helpful. There is a shorter method too tho.

Answer:

commutative i believe

Step-by-step explanation:

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

Answer:

Commutative Property  

Step-by-step explanation:

The commutative property: Changing place of a certain number does not affect the sum (answer)

In this problem the property is Commutative property

Answer:

13

Step-by-step explanation:

Volume to find radius: \((3\frac{V}{4\pi})^1^/^3\)

Substitute: \((3\frac{9198.1}{4\pi})^1^/^3\)

Solve: \((3(732.3))^1^/^3\)

\(2196.9^1^/^3\)

13≈r

Answer:

B

Step-by-step explanation:

The ratios are 2:1

In the table it shows 4:2, 8:x, y:6, 20:z

To find if the ratios are equivalent we would need to plug in

Once plugging in answer B we get 4:2, 8:4, 12:6, 20:10 which would all equate to 2:1

Answer:

Its B

Step-by-step explanation:

Answer:

50r-93s

Step-by-step explanation:

-9(-4r + 6s) + 3s – 7(6s – 2r)

distribute

36r-54s+3s-42s+14r

add like terms

50r=93s

The results of the first three trials are:

Trial 1: 8 girls, 12 boys

Trial 2: 13 girls, 7 boys

Trial 3: 11 girls, 9 boys

What is permutation and combination ?

Permutation and combination are two related concepts in mathematics that deal with counting and arranging objects.

Permutation refers to the number of ways in which a set of objects can be arranged or ordered. In other words, it involves selecting objects from a set and arranging them in a specific order. The formula for finding the number of permutations of n objects taken r at a time is given by:

nPr = n! / (n-r)!

According to given condition:

To simulate the number of male and female births using a random digit table, the nurse has assigned the digits 0-4 to represent girls and 5-9 to represent boys. She selects samples of 20 and records the digits in order.

For the first trial, the digits are:

1 7 9 3 9 6 7 7 6 4 0 7 1 3 4 9 9 0 4 7

Interpreting these digits using the nurse's coding scheme, we see that there are:

8 girls (represented by the digits 0-4)

12 boys (represented by the digits 5-9)

For the second trial, the digits are:

6 2 4 5 4 8 1 0 6 9 0 7 8 7 9 8 5 4 2 8

Interpreting these digits using the nurse's coding scheme, we see that there are:

13 girls

7 boys

For the third trial, the digits are:

5 9 3 9 8 4 1 8 2 2 4 6 4 8 0 3 3

Interpreting these digits using the nurse's coding scheme, we see that there are:

11 girls

9 boys

Therefore, the results of the first three trials are:

Trial 1: 8 girls, 12 boys

Trial 2: 13 girls, 7 boys

Trial 3: 11 girls, 9 boys

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The Normal model is a good first-choice to model data if the data is normally distributed or approximately normally distributed

Normally distributed or approximately Normally distributed. The Normal distribution, also known as the Gaussian distribution, is a continuous probability distribution that is widely used in statistical modeling due to its mathematical properties and practical applications in many fields.

When the data is Normally distributed, the Normal model provides a good approximation of the underlying distribution of the data. This means that the parameters of the Normal distribution can be estimated from the data using methods such as maximum likelihood estimation, and the resulting model can be used to make predictions and conduct statistical inference.

However, it is important to note that the Normal model may not be appropriate for all types of data, particularly if the data exhibits significant departures from Normality. In such cases, other distributional models or non-parametric methods may be more appropriate.

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Step-by-step explanation:

To find the angle between a line and the x-axis, we need to calculate the slope of the line first. The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by the formula:

m = (y₂ - y₁) / (x₂ - x₁)

Using the points (-2, 2) and (8, 9), we can substitute the values into the formula:

m = (9 - 2) / (8 - (-2))

= 7 / 10

= 0.7

The slope of the line is 0.7. The angle between the line and the x-axis can be found using the inverse tangent (arctan) function. The tangent of an angle is equal to the slope of the line, so we can write:

tan(θ) = 0.7

Taking the inverse tangent of both sides, we find:

θ = arctan(0.7)

Using a calculator, we can evaluate this to be approximately:

θ ≈ 35.87 degrees

Therefore, the angle between the line and the x-axis is approximately 35.87 degrees.