What is 468 ÷ 6 step by step guide?​

The length of pregnancy does play a role in the education level of the baby. A significant relationship can be established using the chi square test.

A chi square ( χ2) test is performed in order to find a co relation between two unrelated variables. The main objective of the test is to prove whether the relationship holds true or is just a product of mere chance. For example, if we are conducting a survey of two different parameters, first being the population of people who are married and the other about their educational qualification, we will get two distinct table of values without any significant co relation. But now if we want to establish a relationship, lets say that married people have less educational qualifications, we need to prove our statement by performing a chi square test. The final value can either be a null hypothesis which states that their is no convincing relationship between the two parameters or can be a alternate hypothesis with significant co relation.

Following data can be represented on tabular form and calculated:

                                                  Gestation Period (Observed)

                                     22-27       28-32       33-36       37-42       43+    Tot

Less than high   YES    14              34            140           1010         81     1279

school degree     NO    26             65            343          3032      208   3674

                                      40             99            483          4042      289   4953

                                                   Gestation Period (Expected)

                              YES   10.32     25.56        124.72    1043.75    74.62

                              NO     29.67    73.43        358.27    2998.24   214.37

χ2 = ∑ \(\frac{(Observed-Expected)^2}{Expected}\)

= \(\frac{13.54}{10.32} +\frac{71.23}{25.56} +\frac{233.47}{124.72} +\frac{1139.06}{1043.75} +\frac{40.70}{74.62} +\frac{13.46}{29.67} +\frac{233.17}{358.27} +\frac{1139.73}{2998.24}+\frac{40.57}{214.37}\)

= 1.31+2.78+1.87+1.09+0.54+0.45+0.96+0.65+0.38+0.18 = 10.21

Now, calculating the degree of freedom= (coulmn-1)(row-1)= (5-1)(2-1) = 4

Looking at the reference table at 0.05 significance level, the value is 9.488

As the calculated value is more than the table value/critical value, null hypothesis can be rejected proving the alternate hypothesis that there might be a relationship between gestation period of a mother and the education level of her kid.

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If two cities on map are \(5\frac{3}{4}\) inches apart, then the actual distance between the cities is 345 miles .

In the question ,

it is given that ,

the scale on the map is 1/2 inches is = 30 miles .

So , 1 inches on the map is = 60 miles.

So , the scale factor is 1 inch = 60 miles .

also given that the distance between the two cities on the map is = \(5\frac{3}{4}\) inches ,

means , 23/4 inches .

So , the actual distance is = 23/4 × 60

Simplifying further ,

we get ,

= 345 miles .

Therefore , the actual distance is 345 miles , the correct option is (d) .

The given question is incomplete , the complete question is

The scale on a map reads 1/2 inch = 30 miles. If two cities on the map are \(5\frac{3}{4}\) inches apart, find the actual distance between the cities.

A. 300 miles

B. 315 miles

C. 327 miles

D. 345 miles

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Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

The total surface area of the square pyramid is 39 ft².

The total surface area of a square pyramid can be determined by adding the area of the lateral surfaces and the base together.  A square pyramid has four lateral sides and one base.  

Total surface area= area of the base + area of the lateral sides

Area of the base = area of a square = length² = 3² = 9 ft²

Area of the lateral sides = 2 x base x height

2 x 3 x 5 = 30 ft²

Total surface area = 30 + 9 = 39 ft²

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The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =

The given dimensions for cylinders are:

r = 1.75 in, h = 2.2 in Surface Area of Cylinder:

S = 2πr² + 2πrh

The surface area formula of a cylinder is  S = (2 * pi * \(r^2\)) + (2 * pi * r * h).

S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)

= 44.33 + 38.49

= 82.82 square inches.

Volume of Cylinder: V = πr²h

The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.

Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.

Volume = π(1.75)²(2.2)

Volume ≈ π(3.0625)(2.2)

Volume ≈ 6.7375π cubic inches

The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm

Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.

Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.

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The statements that are true about the graph of y < 2x+1 include the following:

C. The area below the line is shaded.

D. A solution to the inequality is (2, 3).

In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided, we have the following equation (inequality);

y < 2x + 1

The slope of the above equation (inequality) is 2 and the y-intercept of the boundary line is (1, 0). Additionally, the area below the dashed line must be shaded because the inequality symbol is less than (<).

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Answer:

Step-by-step explanation:

Given is the graph of the function with no restrictions.

Correct options are C and D

Answer:

C and d

Step-by-step explanation:

given in the graph of the function with no restriction the domain and range are all real number

The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

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Answer:

-2 and 13

Step-by-step explanation:

the pattern here is annoying to find, but there is one. the first change is -4, then +6, then -7, then +9. The pattern starts at -4, then after that it increases by 2 and changes from a negative to a positive (and can change the other way). After that change it increases by one and changes from a positive to a negative. Essiently, the pattern is add 2 to the pattern and change the sign, then add 1 to the pattern after that and change the sign, infinitely repeating, with the two after 11 being -2 (gotten from +12 because you add 2 to -10 and change the sign) and 13 (gotten from -13 because you add 1 and change the sign of +12).

Answer:

(2,-7)

Step-by-step explanation:

Reflection rule for across the x-axis: \((x,y)\rightarrow (x,-y)\)

Using the rule and point (2,7):

\((2,7)\rightarrow(2,-7)\)

(2,-7) should be the correct answer.

Brainilest Appreciated.

9514 1404 393

Answer:

  A.  6

Step-by-step explanation:

The wording "set A and set B" means you're interested in elements that belong only to both. In your diagram, that is Region II. There are 6 elements that belong to A and B.

  AB = 6

_____

Additional comment

"A and B" is also called the "intersection" of the two sets: A ∩ B.

The number you have chosen is the number in Regions I, II, and III. That is the set of elements that belong to A or B. You have identified the "union" of the two sets: A ∪ B. (It might also be represented as A+B.)

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

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b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

a. This scenario is an example of II. future value of a periodic deposit investment, as you are making regular quarterly deposits and calculating the future value after 4 years.

b. In this situation, you are dealing with I. future value of a single deposit investment, as you make a one-time deposit and determine its value in 5 years.

c. This case represents III. present value of a periodic deposit investment, as you are determining the amount to deposit monthly in order to reach a specific future value in 5 years.

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Answer: $105,000

Step-by-step explanation:

$140,000-25%deposit =$105,000

if 3000 dollars is invested in a bank account at an interest rate of 6 percent per year find the amount in the bank after 10 years if interest is compounded quarterly ​

we know that

The compound interest formula is equal to

\(A=P(1+\frac{r}{n})^{nt}\)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

P=3,000

r=6%=6/100=0.06

t=10 years

n=4

substtute in the formula above

Part 2

compounded monthly

we have

P=3,000

r=6%=6/100=0.06

t=10 years

n=12

substtute in the formula above

Part 3

continuously

we know that

The formula to calculate continuously compounded interest is equal to

\(A=P(e)^{rt}\)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

P=3,000

r=6%=6/100=0.06

t=10 years

substitute

Answer:

the probability that the two committees have at least one member in common is approximately 0.3622.

Step-by-step explanation:

To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.

Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:

Number of ways to choose 3 people out of 20 without overlap:

C(20,3) = (201918)/(321) = 1140

Number of ways to choose 3 people out of 20 with overlap:

C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680

The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.

The total number of ways to choose two committees of three people each without any overlap is:

C(20,3) * C(17,3) = (1140*680) = 775200

Therefore, the probability that the two committees have no members in common is:

P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378

So the probability that the two committees have at least one member in common is:

P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622

Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.

Answer: y = \(\frac{4}{3}\)x + \(\frac{16}{3}\)or y - 4 = (\(\frac{4}{3}\))(x + 1)

Step-by-step explanation:

      Point-slope form is written as (y - \(y_1\)) = m(x - \(x_1\)) where m is the slope and \((x_1,y_1)\) is a point on the graph.

Given:

(y - \(y_1\)) = m(x - \(x_1\))

Substitute:

(y - 4) = (\(\frac{4}{3}\))(x - - 1)

Negative times negative is a positive:

y - 4 = (\(\frac{4}{3}\))(x + 1)

Add 4 to both sides and distribute the \(\frac{4}{3}\):

y - 4 + 4 = (\(\frac{4}{3}\) * x + \(\frac{4}{3}\) * 1) + 4

Simplify:

y = \(\frac{4}{3}\)x + \(\frac{4}{3}\) + 4

Combine like terms:

y = 1\(\frac{1}{3}\)x + 5\(\frac{1}{3}\) or y = \(\frac{4}{3}\)x + \(\frac{16}{3}\)or y = \(\frac{4}{3}\)x + 5.333

Answer:

\( \frac{337}{4} \)

Step-by-step explanation:

\(84 \frac{1}{4} = \frac{84 \times 4 + 1}{4} = \frac{336 + 1}{4} = \frac{337}{4} \)

Step-by-step explanation:

I think thats 10 times

Answer: 4 x 10^4

Step-by-step explanation:
4 x 10^7= 40,000,000
4 x 10^3 = 4,000

Now 40,000,000 - 4,000 = 40,000

40,000 converts to 4 x 10^4

Answer:

A

Step-by-step explanation:

57 rounded is 60

19 rounded is 20

60/20

3

Answer:

Step-by-step explanation:

The function value is the y-coordinate of the point having the given x-value.

Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

Answer:

Second inequality is
12x + 16y ≥ 460

We also have implied inequalities x ≥ 0, y ≥ 0 meaning hours cannot be negative

Step-by-step explanation:

The other equality refers to the earnings

Let x be the hours worked in the first job
Earnings at $12 per hour = 12x

Let y be the hours worked in the second job
Earnings at $16 per hour = 16y

Total earnings = 12x + 16y
This must be at least $460
"at least" means ≥

So second inequality is
12x + 16y ≥ 460

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

y=4/3x+4

Step-by-step explanation:

Answer:

5/12x

Step-by-step explanation:

x+2/4x^2+5x+1 *4x+1/4x^2-4

x+2/16x+5x+1*4x+1/16x-4

x+2/21x+1 (4x+1/16x-4)

-x .   -x .    

2/20x+1 (4x+1/16x-4)

-1 .      -1 .

20x(4x+1/16x-4)

(80x+20x/320x-80x)

100x/240x

5/12x