Given that (3, 2, –6) and (–2, 5, 1) are solutions of two equations in a system of three linear equations, which of the following is true about the system?
The system can only be consistent and independent.
The system can be either inconsistent and independent or consistent and dependent.
The system can be either inconsistent and dependent or consistent and independent.
The system can only be inconsistent and dependent.

Answer:

Transitive

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Children are playing a number game by drawing number cards.

1. First card was drawn 2, used as start point.

It was plotted on the number line.

2. Second card was drawn and it was -6.

Operation performed, starting from point 2 moved 6 points to the left:

3. The next card drawn had number 2 on it.

Operation performed, starting from point -4 moved 2 positions to the right.

End point -2

Answer:

A: Randomly select 10 freshmen from each of the majors at the university.

Step-by-step explanation:

This is because stratified random sampling is taking a population and dividing them into subpopulations. So, majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different answer and result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

The best sampling is simple random sampling, as it is randomly picking data values from the population.

Stratified random sampling it is taking a population and dividing them into subpopulations.

The majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

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Answer: .12 grams of butter per cupcake

Step-by-step explanation:

1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.

The angle measuring 122 degrees is supplementary to the angle next to it.

Supplementary angles are angles that add up to 180 degrees.

180 = ? + 122

Subtract 122 from both sides.

58 = ?

Now we know that the triangle has a 58 degree angle and a 90 degree angle.

58 + 90 + x = 180

Combine like terms.

148 + x = 180

Subtract 148 from both sides.

x = 32 degrees

Answer:

Rational numbers

Step-by-step explanation:

Answer:

rational numbers is the answer

Answer:

We can see a ring of light around called the ph0ton ring. This ring of light is visible because even light cannot escape a black hol3. While the light is being suck3d in the light rays are bent. Black hol3s also squ3eze the surrounding matter into a disk of glowing gas. If the photon ring is not visible the black hole can still be seen because any light from nearby stars will be absorbed. Therefor3, where the black hole is much darker than the rest of  space.

Answer:

The nearest cent is going to be %1.00 So it’s B girla

Step-by-step explanation: i think it is

3 in the 9th power means that you have to make 3 to the power of 9.

The answer is 19,683.

Answer

The observations made are:

1. The data is left-skewed

2. The data has one mode at 5 but also has a smaller peak at 8.

3. 0 is the only outlier in the dataset

SOLUTION

Problem Statement

We are given a dot plot illustrating the number of movies seen by 26 students in a class. We are asked to comment on the overall patterns in the data set and any striking deviations.

Solution

Below are the observations made on the data.

1. The data is left-skewed because there are is a greater concentration of data points at the right side of the graph.

2. The Data set has 1 mode of 5 (Since it occurs most) but also has a smaller peak of 8.

3. The data set has an outlier of 0. We can confirm this using the following calculation:

We can write out the numbers as follows:

0, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10.

Q1 and Q3 are gotten as follows:

(0, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6), (6, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10)

The middle number of the first bracket gives Q1

(0, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6) --> 5 is the center of this bracket.

Thus, Q1 = 5

The middle number of the second bracket gives Q3.

(6, 6, 7, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10) --> 8 is the middle number in this bracket.

Q3 = 8

Thus, we can say that:

Thus, we can conlude that 0 is an outlier in the dataset

Final Answer

The observations made are:

1. The data is left-skewed

2. The data has one mode at 5 but also has a smaller peak at 8.

3. 0 is the only outlier in the dataset

To express the phrase "seven less than four times a number" as a mathematical expression, we can use the following formula:

4x - 7

In this expression, "x" represents the unknown number. Multiplying the number by 4 (four times the number) and subtracting 7 from the result gives us the desired expression "seven less than four times a number."

Answer:

\(y =-\frac{1}{2}x + 8\)

Step-by-step explanation:

Given

Perpendicular to \(y = 2x + 1\)

Pass through \((4,6)\)

Required

Determine the line equation

First, we need to determine the slope of \(y = 2x + 1\)

An equation is of the form:

\(y = mx + b\)

Where

\(m = slope\)

In this case:

\(m =2\)

Next, we determine the slope of the second line.

Since both lines are perpendicular, the second line has a slope of:

\(m_1 = \frac{-1}{m}\)

\(m_1 = \frac{-1}{2}\)

\(m_1 = -\frac{1}{2}\)

Since this line passes through (4,6); The equation is calculated as thus:

\(y - y_1 = m_1(x - x_1)\)

Where

\((x_1,y_1) = (4,6)\)

This gives:

\(y - 6=-\frac{1}{2}(x - 4)\)

Open bracket

\(y - 6=-\frac{1}{2}x + 2\)

Add 6 to both sides

\(y +6- 6=-\frac{1}{2}x + 2+6\)

\(y =-\frac{1}{2}x + 8\)

Answer:

20.22 miles

Step-by-step explanation:

If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22

Using proportions, it is found that they must win 19 of their next 30 games.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

We want a win-to-loss proportion of 2:1, which is equivalent to a win-to-total proportion of 2:3. We have that:

Hence:

\(\frac{5 + x}{36} = \frac{2}{3}\)

3(5 + x) = 72

15 + 3x = 72

3x = 57

x = 19.

The Rangers must win 19 of their next 30 games.

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The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

add all of them toghether to get it

Answer:

Step-by-step explanation:

a) Volume of prism: 6 units x 4 units x 7 units = 168 cubic units

b) Area of shaded base: 4 units x 7 units = 28 square units

Volume of prism: 6 x 4 x 7

Answer:

0

Step-by-step explanation:

x < 4 means all numbers less than 4, excluding 4 itself.

4.5 > 4.

5 > 4.

so 0 is the solution

Answer:

4

Step-by-step explanation:

interval notation ( negative infinity, 4)

12? im not sure

i think u need to multiply 6 and 2 to get your answer.

Since we do not know the value of u, we cannot find the time taken by the basketball to travel a distance of 8.5 meters. We cannot find the height of the basketball at its highest point.

Given that n(x) = 3 for 8 < x < 8.5.It is impossible to determine whether the shot will be made or not based solely on this information. Winning the playoffs depends on various factors, such as the score, time remaining, and the overall performance of the team.

Therefore, additional information is required to determine the outcome of the playoffs.However, to find the height of the basketball at its highest point, we need to know the equation of the trajectory of the basketball.

Assuming that the basketball follows a parabolic path, we can use the formula:

y = ax² + bx + c,

where y is the height of the basketball, and x is the horizontal distance traveled by the basketball.

To find the values of a, b, and c, we need to know three points on the trajectory of the basketball. Let's assume that the basketball is thrown from a height of 1.5 meters and lands on the floor after traveling a horizontal distance of 8.5 meters.

Therefore, the points on the trajectory of the basketball are:

(0, 1.5), (8.5/2, h), and (8.5, 0),

where h is the height of the basketball at its highest point.Substituting these values in the equation of the trajectory,

we get:

1.5 = a(0)² + b(0) + c...(1)0 = a(8.5)² + b(8.5) + c...(2)h = a(8.5/2)² + b(8.5/2) + c...(3)

Simplifying equations (1) and (2),

we get:

c = 1.5...(4)b = -a(8.5)²/8.5...(5)

Substituting equation (4) in equation (3), we get:

h = a(8.5/2)² + b(8.5/2) + 1.5h = a(8.5/2)² - a(8.5)²/8.5 + 1.5h = -29.375a + 1.5

Substituting the value of a from equation (5) in the above equation,

we get:

h = -29.375(-a(8.5)²/8.5) + 1.5h = 0.5a(8.5)² + 1.5

Therefore, to find the height of the basketball at its highest point, we need to find the value of a. Since we know that the basketball lands on the floor after traveling a horizontal distance of 8.5 meters,

we can use the formula:

x = ut + 0.5at²,

where u is the initial horizontal velocity of the basketball, and t is the time taken by the basketball to travel a distance of 8.5 meters.

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Answer:

e8=56+ 34 x 3 (45 x -2) = 4

Step-by-step explanation:

Answer:

56+34×3

Step-by-step explanation:

hope it helps

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Answer:

(a) The test statistics that would be used here Two-sample t-test statistics distribution.

(b) The value of t-test statistic is 0.092.

(c) P-value of the test statistics is more than 40%.

Step-by-step explanation:

We are given that of the 35 two-year colleges surveyed, the average enrollment was 5069 with a standard deviation of 4773.

Of the 35 four-year colleges surveyed, the average enrollment was 5216 with a standard deviation of 8141.

Let \(\mu_1\) = average enrollment at four-year colleges in the United States.

\(\mu_2\) = average enrollment at two-year colleges in the United States.

So, Null Hypothesis, \(H_0\) : \(\mu_1 \leq \mu_2\)      {means that the average enrollment at four-year colleges is higher than at two-year colleges in the United States}

Alternate Hypothesis, \(H_A\) : \(\mu_1 > \mu_2\)      {means that the average enrollment at four-year colleges is higher than at two-year colleges in the United States}

(a) The test statistics that would be used here Two-sample t-test statistics distribution because we don't know about population standard deviation;

                              T.S. =  \(\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }\)  ~ \(t__n_1_+_n_2_-_2\)

where, \(\bar X_1\) = average enrollment at four-year colleges = 5216

\(\bar X_2\) = average enrollment at two-year colleges = 5069

\(s_1\) = sample standard deviation at four-year colleges = 8141

\(s_2\) = sample standard deviation at two-year colleges = 4773

\(n_1\) = sample of four-year colleges surveyed = 35

\(n_2\) =  sample of two-year colleges surveyed = 35

Also, \(s_p= \sqrt{\frac{(n_1-1)\times s_1^{2}+(n_2-1)\times s_2^{2} }{n_1+n_2-2} }\)  =  \(\sqrt{\frac{(35-1)\times 8141^{2}+(35-1)\times 4773^{2} }{35+35-2} }\) = 6672.98

So, the test statistics  =  \(\frac{(5216-5069)-(0)}{6672.98 \times \sqrt{\frac{1}{35}+\frac{1}{35} } }\)  ~ \(t_6_8\)

                                     =  0.092

(b) The value of t-test statistic is 0.092.

(c) P-value of the test statistics is given by the following formula;

                 P-value = P(\(t_6_8\) > 0.092) = More than 40% as this value is not reflected in the t-table.

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

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When Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include

A. 27, 22, 17, 12, 7

D. 100, 95, 90, 85, 80

It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.

Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc. In this case, when Jackson wrote different patterns for the rule "subtract 5", the patterns that he could have written include 27, 22, 17, 12, 7 and 100, 95, 90, 85, 80. In this cases, there are difference of 5.

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Complete question

Jackson wrote different patterns for the rule "subtract 5". Select all of the patterns that he could have written.

27, 22, 17, 12, 7

5, 10, 15, 20, 25

55, 50, 35, 30, 25

100, 95, 90, 85, 80

75, 65, 55, 45, 35

Answer:

(0,5) will be linear equation

Answer:

where is the graph

Step-by-step explanation:

Answer:

The distance is 5

Step-by-step explanation: