A weatherman asks 75 people from two different cities if they own rain boots. Complete the two-way frequency table to show results of the survey\

Answer:

Yes, ASA.

Step-by-step explanation:

The ASA, or Angle-Side-Angle Postulate, states that "If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent."

In this case, it is given that two pairs of angles are congruent:

1) ∠J ≅ ∠N (Given)

2) ∠K ≅ ∠M (Given)

One pair of side is also congruent:

1) JK ≅ NM

∴ Through ASA Postulate, ΔJLK ≅ ΔNOM.

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y = (x^2) - 1

Step-by-step explanation:

To produce a translation of 1 unit down on the graph of y=x^2, we need to subtract 1 from the function. This can be expressed as:

This equation shifts the entire parabola downward by one unit. Every point on the original graph (y=x^2) has been shifted down by one unit, so the new graph (y=(x^2)-1) will appear lower.

Answer:

Mean: 16.

Step-by-step explanation:

—Mean—

13 14 14 16 16 16 16 18 18 19

Simply start by adding the numbers together.

13 + 14 + 14 + 16 + 16 + 16 + 16 + 18 + 18 + 19

= 160.

Then divide it by how many numbers there are. Which is 10.

160 divided by 10 = 16.

—MAD—

Subtract each number by the mean.

|13-16| + |14-16| + |14-16| + |16-16| + |16-16| +|16-16| + |16-16| + |18-16| + |18-16| + |19-16|

Negatives don’t matter, everything should be positive numbers.

3 + 2 + 2 + 0 + 0 + 0 + 0 + 2 + 2 + 3

= 16

16 divided by 16 (amount of numbers).

MAD = 1

–IQR—

Seperate both sides in half.

|13 14 14 16 16| |16 16 18 18 19|

Take the median of each group.

Group 1:

|13 14 (14) 16 16|

This one is 14.

Group 2:

|16 16 (18) 18 19|

This one is 18.

Now take (number from group 2) 18 and subtract by (number from group 1) 14.

18 - 14 = 4

IQR = 4.

Answer:

3.21

Step-by-step explanation:

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

Answer:

create a graph

Step-by-step explanation:

like this

X Y

-3

0

3

and solve for y

The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.

This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.

Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.

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Correct question:

A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.

How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

(a)  There are 1296 possible outcomes from rolling an unbiased die 4 times.

When rolling an unbiased die, there are 6 possible outcomes for each roll. Therefore, for 4 rolls, the total number of possible outcomes can be determined by multiplying 6 by itself 4 times (since each roll is independent).

This can be represented using the formula: Total number of outcomes = 6^4 = 1296

(b) There are 0.7716 possible outcomes from rolling an unbiased die 4 times that have exactly two rolls showing a 3.

To determine the number of possible outcomes that have exactly a certain result (e.g. exactly two rolls showing a 3), we can use the binomial coefficient formula.

The binomial coefficient represents the number of ways to choose k items from a set of n items, and is denoted as "n choose k" or written as (n choose k) or C(n,k).

For example, to find the number of ways to get exactly two rolls showing a 3 in four rolls, we would use the following formula:

Number of outcomes with exactly two 3's = (4 choose 2) * (1/6)^2 * (5/6)^2

Where:

- (4 choose 2) represents the number of ways to choose two rolls out of four to show a 3

- (1/6)^2 represents the probability of getting a 3 on two rolls

- (5/6)^2 represents the probability of not getting a 3 on the other two rolls

Evaluating this formula gives:

Number of outcomes with exactly two 3's = (4 choose 2) * (1/6)^2 * (5/6)^2

= (4! / (2! * (4-2)!)) * (1/6)^2 * (5/6)^2

= 6 * (1/36) * (25/36)

= 0.7716

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Mean: a number or quantity having a value intermediate with the given data. It can be calculated as follows:

In our case:

Median: value separating the lower half from the higher half. To calculate this parameter we have to order our data from the lowest to the highest value.

In this case, as there are an even pair of numbers, the middle value is 11 and 13. Thus, we have to calculate the average of these:

Therefore, the median is 12lbs.

Answer:

• Mean: 11.6lb

• Median: 12lb

Answer:

3 lawns per hour

Step-by-step explanation:

12 ÷ 4 = 3

Answer:

(-3/2, -13/2)

Step-by-step explanation:

To solve the system of equations graphically, we need to plot the two equations on the same set of axes and find the point of intersection.

To plot the first equation y = x - 5, we can start by finding the y-intercept, which is -5. Then, we can use the slope of 1 (since the coefficient of x is 1) to find other points on the line. For example, if we move one unit to the right (in the positive x direction), we will move one unit up (in the positive y direction) and get the point (1, -4). Similarly, if we move two units to the left (in the negative x direction), we will move two units down (in the negative y direction) and get the point (-2, -7). We can plot these points and connect them with a straight line to get the graph of the first equation.

To plot the second equation y = -x - 8, we can follow a similar process. The y-intercept is -8, and the slope is -1 (since the coefficient of x is -1). If we move one unit to the right, we will move one unit down and get the point (1, -9). If we move two units to the left, we will move two units up and get the point (-2, -6). We can plot these points and connect them with a straight line to get the graph of the second equation.

The point of intersection of these two lines is the solution to the system of equations. We can estimate the coordinates of this point by looking at the graph, or we can use algebraic methods to find the exact solution. One way to do this is to set the two equations equal to each other and solve for x:

x - 5 = -x - 8 2x = -3 x = -3/2

Then, we can plug this value of x into either equation to find the corresponding value of y:

y = (-3/2) - 5 y = -13/2

So the solution to the system of equations is (-3/2, -13/2).

Answer:

The expression for the total cost of the visit to dentist is T = 50 + 100n .

Step-by-step explanation:

As given

The price of a visit to the dentist is $50.

If the dentist fills any cavities, an additional charge of $100 per cavity gets added to the bill.

If the dentist n cavities .

Let us assume that the total cost of the visit to dentist be T.

Than the expression becomes

T = 50 + 100n

Therefore the expression for the total cost of the visit to dentist is T = 50 + 100n .

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Considering the data:

Dilation by a scale factor of 4 from the origin in the form of an A'B'C' reflection over x = 1

<=> The two triangles are comparable to one another since triangles can have the same shape but differ in size, so A′′B′′C′′ is 4 times larger than ABC.

=> the connection between "ABC" and "A"B"C" .

\(\frac{AB}{A"B"} = \frac{1}{4}\)

We settle on C.

\(\frac{AB}{A"B"} = \frac{1}{4}\)  equation clearly illustrates how AABO and AA"B"C relate to one another.

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Answer:

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

Step-by-step explanation:

To solve the problem, we need to write each fraction in decimal form.

Notice that each denominator is 10 based, which means we only have to move the decimal point according to the total number of zeros have the denominators. If the denominator is 10, we move the decimal point one spot to the left, if the denominator is 1000, we move the decimal point three spots to the left, and so on.

\(\frac{224}{10}=22.4\\ \frac{5315}{10}=531.5\\\frac{3783}{100}=37.83\\ \frac{34502}{1000}=34.502\)

The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Order of given decimal numbers from least to greatest:  0. 607, 0.667, 0.67

In this question we have been given three decimal numbers.

0. 667, 0. 67, 0. 607

We need to order these numbers from least to greatest.

Consider a decimal number ap.bcd

(here a, b, c, d, p are integers)

We know that the place value is used to define the position of a digit in a number and it helps to determine digit's value.

here, a represents the power of 10^1 i.e., the tens position.

p represents the power of 10^0 that is the units position.

b represents the power of 10^-1 : the one-tenths position.

c represents the power of 10^-2 : the one-hundredths position

d represents the power of 10^-2 : the one-thousandths position

Consider given numbers 0. 667, 0. 67, 0. 607

ones   decimal  tenths   hundredths   thousandths

  0           .             6               6                   7

  0           .             6               7                    0

  0           .             6               0                    7

Since tenths place of all numbers is same, we consider hundredths place.

A number 0. 67 has 7  in the hundredths place, 0.667 has 7  in the hundredths place and 0. 607 has 0  in the hundredths place.

So, 0. 67 is the greatest number and,  0. 607 is the least number.

Therefore, the correct order is  0. 607, 0.667, 0.67

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Answer:

300

Step-by-step explanation:

I think its 300 but if I'm wrong then XD I Don't know

Answer:

a

Step-by-step explanation:

The Fourth coordinate is (4, 3) and 35 unit squared.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given:

From the graph the fourth coordinate of rectangle is

At x axis = 4

and, y- axis = 3

So, the Area of rectangle ABCD is

= lw

= 7 x 5

= 35 unit squared.

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Answer:

Not sure but I think It is B

Step-by-step explanation:

Step-by-step explanation:

< 1 + 130° = 180° < being linear pair >

< 1 = 180° - 130°

< 1 = 50°

<2 = 130° { being corresponding angles}

Hope it will help :)

Answer:

m<1=50

m<2=130

Step-by-step explanation:

Alright so these lines are parallel, which means those 2 sets of angles are congruent.

for m<1 you need to take 180 (the total angle of a flat line) and subtract the other angle, 130, which would leave you with m<1=50

for m<2 this angle is congruent to the one below it, so it would just be 130.

hope this helped! (:

The correct answer is option B which is 55 the angle DEH will be 55.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

The angles are drawn in the given attached figure with the answer in which a protractor, with segment DEF along the bottom, EH point to the 55 degrees on the left, EJ to 90 degrees, EK to the 30 degrees on the right.

Therefore the correct answer is option B which is 55 the angle DEH will be 55.

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Answer: To find the highest common factor (HCF) of two polynomials, we can use the Euclidean algorithm for polynomials. The Euclidean algorithm involves dividing the larger polynomial by the smaller polynomial and continuing the division process until the remainder is zero. The last non-zero remainder is the HCF of the two polynomials.

In this case, we have:

2x^3 + x^2 - 3x = (2x^3 - x^3) + x^2 - 3x

= x^3 + x^2 - 3x

Now, we divide x^3 + x^2 - 3x by x^3 - x

x^3 + x^2 - 3x = x^3 - x * (1 + x - 3)

= x^3 - x * (x^2 - 2x + 3)

We cannot simplify this expression further, so the HCF of 2x^3 + x^2 - 3x and x^3 - x is x^3 - x.

Step-by-step explanation:

The five values for a data set are: minimum = 0 lower quartile = 2 median = 3. 5 upper quartile = 5 maximum = 10 Bruno created the box plot using the five values. Bruno made error. The left whisker should go from 0 to 2.

Quartiles is a type of quartile that divides data into four parts with approximately the same number. The first quartile or lower quartile (Q1) is the middle value between the smallest value and the median of the data group. The first quartile is a marker that the data in that quartile is 25% below the data group.

The second quartile (Q2) is the median data which marks 50% of the data (dividing the data in half). The third or upper quartile (Q3) is the middle value between the median and the highest value of the data set. The third quartile is a marker that the data in that quartile is 75% below the data group. Quartiles are a form of an ordered statistic because to determine quartiles, data needs to be sorted from smallest to largest value first.

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Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

∴ x1 = -4 and y1 = -2

∴ x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = \(\frac{4--2}{4--4}\) = \(\frac{4+2}{4+4}\) = \(\frac{6}{8}\) = \(\frac{3}{4}\)

∴ The slope of line AB is  \(\frac{3}{4}\)

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

∴ x1 = 0 and y1 = -3

∴ x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = \(\frac{0--3}{4-0}\) = \(\frac{0+3}{4}\) = \(\frac{3}{4}\)

∴ The slope of line CD is  \(\frac{3}{4}\)

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

∴ AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

Answer:

a. they are parallel because their slopes are equal

Step-by-step explanation:

did the review on edge

In this scenario, X has been chosen to be the center. This means that there are only 2 centers remaining on the roster. Two guards from A, B, X, and Y can be chosen in (4 choose 2)

= 6 ways Two forwards from C, D, E, and X can be chosen in (4 choose 2)

6 ways Thus, the total number of possible lineups that can be created if X is chosen as a center is:6 x 6

= 36Possible lineups

= 36b) In how many ways a lineup can be created if both X and Y are not selected?In this scenario, both X and Y have not been chosen, which means that they are unavailable. the following:Centers: X, Y, ZGuards: A, B Forwards: C, D, E Now we must pick 1 center, 2 guards, and 2 forwards from the remaining pool of 6 players. Thus, we have the following possibilities for the lineup: One center from X, Y, Z can be chosen in 3 waysTwo guards from A, B can be chosen in (2 choose 2) + (2 choose 1)(4 choose 1)

= 6 ways Two forwards from C, D, E can be chosen in (3 choose 2) + (3 choose 1)(3 choose 1)

= 9 waysThus,the total number of possible lineups that can be created if both X and Y are not chosen is:3 x 6 x 9

= 162Possible lineups

= 162Therefore, a lineup can be created in 36 ways if X is chosen as a center and in 162 ways if both X and Y are not chosen.

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