Table 1: Characteristics of Women According to Intake of
Alcohol
Variable
Nondrinker*
Drinker*
Test Statistic**
P value
Mean age of mother at birth (years)
28.2 + 4.4
30.1 + 4.4

Answer: 39/100 and percentage is 39%

Step-by-step explanation:

The triangle does not exist, as the property, the sum of two sides of a triangle is greater than the third side length of the triangle does not hold true.

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric forms is represented by the symbol △ and consists of three connected vertices. Triangles may be categorized into a number of different varieties according to their sides and angles.

It is a triangle's property that the sum of any two sides of a triangle is greater than the third side.

Here sides given are 3 m, 5 m, 9 m.

Let us add the sides length 3 m and 5 m

3 m + 5 m = 8 m

Compare this with the third-side length of the triangle

8 m < 9 m

So, the property does not hold true.

So, the triangle does not exist.

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Answer:

The correct option is;

Low

Step-by-step explanation:

Given that the P-value of the linear correlation = 0.001, we have that the P-value is a demonstration that a linear correlation that has a value in the range of the given correlation is ,most arguably very low

From the z-table, a P-value of 0.001 corresponds to a z-value of -3.09, we have that in a normal distribution since 95% of the scores have a z-score of between -2 and 2, the z-score of -3.09 is very distant from the mean and having a low value, whereby the P-value shows that the likelihood of finding another linear correlation that is as far from the mean as the given correlation  is very low.

Answer:

21 seconds to 1 minute

Step-by-step explanation:

42:2

Simplify by dividing both sides by 2

21:1

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Answer:

(5, 3 ) and (- \(\frac{3}{2}\), - 10 )

Step-by-step explanation:

Given the 2 equations

2x - y = 7 → (1)

xy = 15 → (2)

Rearrange (1) expressing y in terms of x , that is

y = 2x - 7 → (3)

Substitute y = 2x - 7 into (2)

x(2x - 7) = 15

2x² - 7x = 15 ( subtract 15 from both sides )

2x² - 7x - 15 = 0 ← in standard form

(x - 5)(2x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - \(\frac{3}{2}\)

Substitute these values into (3) for corresponding values of y

x = 5 : y = 2(5) - 7 = 10 - 7 = 3 ⇒ (5, 3 )

x = - \(\frac{3}{2}\) : y = 2(- \(\frac{3}{2}\) ) - 7 = - 3 - 7 = - 10 ⇒ (- \(\frac{3}{2}\), - 10 )

The probability of each individual dying in the pair explains the higher variability in the total outcome of the roll of each pair because there are more possible combinations of outcomes.

The concepts of permutations and combinations apply to this example by showing the different ways the dice can be rolled to achieve a specific total outcome. Each die in a pair of dice has a probability of 1/6 of rolling any number between 1 and 6.

When rolling two dice, there are 36 different possible outcomes (6x6) and each one has a different probability of happening. This is where the concepts of permutations and combinations apply, as each possible combination of dice rolls will result in a different total outcome.

The notion of degree of freedom can be used to illustrate the accumulating results of a set of dice rolls by showing how the total outcome is affected by the roll of each individual die.

For example, if the first die rolls a 4, the second die has 5 degrees of freedom as it can roll any number between 1 and 6 (except for 4) and still achieve a total outcome of 9. As the number of dice being rolled increases, the degree of freedom decreases, making the probability of rolling a specific total outcome less likely.

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Answer:

B?

Step-by-step explanation:

The answer is 6 groups of 0.7 tenths is 4.2. in the decimal form.

What is Decimals?

Decimals are a form of a number in algebra that have a full integer and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional element of the number. A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

6 groups of ____ tenths is 4.2

4.2 ÷ 6 = 0.7

Hence,  6 groups of 0.7 tenths is 4.2

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The slope of this function is approximately 4518

A linear function would best fit the data because as x increases, the y values ​​change values by 4518.

y = mx + c

Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.

the linear function would best fit the data because as x increases, the y values ​​change values by 4518.

The slope of this  function is approximately 4518

Slope = change in y values /  change in x values

        =( 27520.99-23002.99)/(2-1)

        = 4518/1

       = 4518

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The highest score on the statistics test is 99.the correct answer is b) 99.

to determine the highest score on the statistics test, we need to consider the given information: the range of scores and the lowest score.

the range of scores is the difference between the highest score and the lowest score. in this case, the range is given as 42, and the lowest score is 57.

let's denote the highest score as x. using the given information, we can set up the equation:

range = highest score - lowest score

42 = x - 57

to solve for x, we can add 57 to both sides of the equation:

42 + 57 = x - 57 + 57

99 = x

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Plot the 4 points (Attached)

AD:-

AB

Draw E(1,2)

Find Height of parallelogram BE

Area of parallelogram

Answer:

56 units²

Step-by-step explanation:

Plots the points on the given graph paper.  

Join the points from A through D with line segments (see attachment).

From inspection of the parallelogram:

Substitute the found values into the formula for area of a parallelogram:

\(\begin{aligned}\text{Area of a parallelogram} & = \rm base \times height\\& = \rm 14 \times 4\\& = \rm 56\:units^2\end{aligned}\)

Answer:

L' = (-1,2)

M' = (1,2)

L'M' = 2

The slope of the original segment and dilated segment are both zero

Step-by-step explanation: just did it on edge!

Answer:

d

Step-by-step explanation:

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

I assume you are finding for z so

z=

Step-by-step explanation:

34+66 = -32+z+32

100 = -32+z+32

132 = z+32

100 = z

z = 100

Answer:

First Electrician

y=11x+15

y equals the total cost

x equals the number of hours

Second Electrician

y=15x+10

same meaning.

graph these equations.

or solve them as a system.

The answer will be 1.25 Hours.

They will both cost. $28.75

Step-by-step explanation:

Answer:

A.y=|x|+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 2 linear equation which passes through point (-5,3) are:

so option A and B is correct

in order to check the answer we will check for all options which satisfies the the given point (-5,3)

putting the values in equation 1

 3 = 5*-2+13 so 3 =3 and the given points satisfies the above equation.

 putting the vlaues in equation 2

 LHS = y= 3

 RHS = -(-5) -2 =5-2 = 3

 so LHS = RHS  this equation also satisfies

putting the vlaues in equation 3

 LHS = y= 3

 RHS = 3*-5 -5 = -20

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 4

 LHS = y= 3

 RHS = -0.5 *5 + 6 = 3.5

 so LHS ≠ RHS  so, this equation not satisfies

 putting the vlaues in equation 5

 LHS = y= 3

 RHS = -2*-5- 2=8

 so LHS ≠ RHS  so, this equation not satisfies

 so only equation i and ii is true for the given point

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Complete question :

On a coordinate plane, a point is at (negative 5, 3). to which linear equations is the coordinate a solution? select two options.

A. y = 2x + 13

B. y = –x – 2

C. y = 3x – 5

D. y = negative one-half * 6

E . y = –2x – 2

Answer:

15.4

Step-by-step explanation:

3(9+3⋅8)−23

3(12.8)-23

38.4-23

15.4

So the answer is15.4

Answer:

76

Step-by-step explanation:

3(9+24)-23

27+72-23

76

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.

Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

                   k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

                          k + 16 × 3/3

We perform the multiplications in k+16×3.

                                         k + 48/3

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Answer:

27 degrees

Step-by-step explanation:

5t - 13 = 3t + 3

subtract 3t on both sides

2t - 13 = 3

add 13 to both sides

2t = 16

divide by 2 on both sides

t = 8 degrees

Now, plug in 8 to the measure of x

5(8) - 13 = 27

Answer:

B. 199

Step-by-step explanation:

The number of the bast is 119. Then the correct option is B.

A trapezoid is a quadrilateral having two parallel sides and the other two non-parallel sides. The area of a trapezoid is the number of unit squares that can be fit into it and it is measured in square units.

The area of the trapezoid is calculated by the formula given below:-

A = ( a + b )/2 x h

Here a and b are the lengths of the two parallel sides and h is the height of the trapezoid.

Given that the bottom row of the pile has 20 bats, and the top row has 14 bats. Each row has 1 fewer bat than the row below so it will become a trapezoid with a = 14 and b = 20 and the height is 7.

The number of bats will be equal to the area of the trapezoid.

A =( a + b )/2 x h

A = ( 14 + 20 ) / 2 x (7)

A = 119 Bats

Hence, the correct option is B.

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There are 10 juice boxes per carton.

As per the given data:

Total number of juice boxes and cartons are given.

Total number of juice boxes = 30

Total number of cartons = 3

All the juice boxes are kept in all the available cartons.

We can find the juices per carton by dividing the total number of juice boxes with total number of cartons.

By following the above process:

For finding the juices per carton:

= (Total number of juice boxes) / (Total number of cartons)

= (30) / (3)

= 10

Hence, there are 10 juice boxes per carton.

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If data on a scatterplot shows points scattered in a random fashion, the variables have no relationship or a weak random relationship.

When the points on a scatterplot are scattered randomly, it indicates that there is no apparent pattern or trend between the variables being plotted. In other words, the values of one variable do not seem to have any influence on the values of the other variable. This suggests that there is no correlation or relationship between the two variables.

A scatterplot is a graphical representation that helps visualize the relationship between two variables. When the points on the scatterplot are randomly scattered, it means that the values of the variables are not related to each other in any systematic way

. There is no clear direction or trend that can be observed in the data. This indicates that changes in one variable do not result in predictable changes in the other variable.

In such cases, the variables are said to have no relationship or a weak random relationship. It is important to note that the absence of a relationship on a scatterplot does not necessarily imply that there is no relationship between the variables; it simply means that no apparent relationship can be observed based on the available data.

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Answer:

\(\frac{38}{125}\)

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