-2x + 12 = -2(x – 6)

Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

To find the mean of a set of numbers, you need to add up all the numbers and then divide by the number of numbers in the set.

In this case, the mean of the four numbers is 12, which means the sum of those four numbers is 4 × 12 = 48. The mean of the other six numbers is 22, which means the sum of those six numbers is 6 × 22 = 132. The sum of all ten numbers is therefore 48 + 132 = 180.

To find the mean of all ten numbers, we need to divide the sum by the number of numbers, which is \(\frac{180}{10}\) = 18. Therefore, the mean of all ten numbers is 18.

1. Hypothesis: If you were to walk to the movie theater depending on its distance from where you are traveling or walking from could or would be longer then it would if you biked or drove (using a car) there.

2. If today is not Thrusday, then tommmorw is not Friday.

3. Both are true

Answer:

The hypothesis of a conditional statement is the phrase immediately following the word if. The conclusion of a conditional statement is the phrase immediately following the word then. Hypothesis: Two angles are adjacent

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

AC=AB

BC^2=AB^2+AC^2

162+162=324

Square root of 324 is 18.

Given problem;

   Inequality equation;

               \(\frac{x}{16}\)   <   6

Before we solve, let us first translate this problem.

It simply states that for what value(s) of x will the expression be less than 6.

To find this value, we can simply carry out the normal mathematical simplification.

Simply multiply both sides by 16 to reduce the fraction;

      16  x (\(\frac{x}{16}\))   <  6 x 16

 On the left hand side, 16 will cancel out;

                   x <  96

Any value for which x is less than 96 will make the solution of this problem less than 6.

For example, 95;

                       \(\frac{95}{16}\)  = 5.93

This value is less than 6

Answer:

10

Step-by-step explanation:

The required bigger number is given as 10, as of the given condition.

Given that,
The difference between the two numbers is 6. Their sum is 14. What the bigger number is to be determined.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
let the numbers be x and y,
According to the question,
x  - y = 6
x + y = 14
Solving the above two equations,
2x = 20
x = 10
and,
10 - y = 6
y = 4

Thus, the required bigger number is given as 10, as of the given condition.

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The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

Here, we have,

we know that,

The sum of the angles in a triangle add to 180

x+2x+6x = 180

Combine like terms

9x= 180

Divide by 9

9x/9 = 180/9

x = 20.

Hence, The measure of the angles are:: x = 20. so, angles are, 20°, 40°, 120°.

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complete question:

The sum of the angle measures in a triangle is 180°. The angles of a certain triangle measure x°, 2x°, and 6x°. Solve for x.

Answer:it is B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Thus, the greatest number of rides I can go on is 15 rides

Step-by-step explanation:

I have $35.50 to spend for admission plus rides in the amusement park.

Admission costs $13. That leaves me with

$35.50 - $13 = $22.50

to spend on rides.

Considering each ride costs $1.50, we can find the maximum number of rides by dividing the remaining money by the cost per ride as follows:

$22.50 / $1.50 = 15

Thus, the greatest number of rides I can go on is 15 rides

11. Angle KEF = 40°, Angle KEJ = 50°

12. Angle HEF = 115°, Angle KED = 140°

13. Angle JEF = 90°, Angle KEF = 90°

14.   Angle DEF = 180°

The study of points, lines, and shapes in two and three dimensions, as well as their properties and relationships, is the focus of the mathematical discipline known as geometry.

11.  Acute angles: Those angles are less than 90 degree angles.

     Angle KEF = 40°

     Angle KEJ = 50°

     Angle KEH = 75°

     Angle JEH = 25°

     Angle HED = 65°

12. Obtuse angles: Those angles are more than 90 degree angles.

     Angle HEF = 115°

     Angle KED = 140°

13. Right angle: Those angles are 90 degree angle.

     Angle JEF = 90°

     Angle KEF = 90°

14. Straight angle: Those angles make 180 degree angle.

     Angle DEF = 180°

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The line that is an irregular line of a blank verse is A . “ He only says , ‘Good fences make good neighbours. ”

The irregularity of the line is that it has 11 syllables while other lines have 10 syllables .

Unrhymed but metric poetry with usually always iambic pentameter is referred to as "blank verse" in literature.

Going by the definition, the three bottom lines are regular lines in a blank verse as they have 10 syllables. However, the first line, has 11 syllables, thereby making it irregular.

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Answer:

image c is formed by reflection of the letter w

Answer:

39%

Step-by-step explanation:

Answer:

(3 - 2i)(5 + 3i)

Step-by-step explanation:

if we multiply both parenthesis we can see that 21 - i = (3 - 2i)(5 + 3i)

First multiply 3 with (5 - 3i)

3 × (5 5 3i) = 15 + 9i

then we multiply -2i with (5 - 3i)

-2i × (5 + 3i) = -10i - 6i^2 since -i^2 is equal to -1 we can write the expression like this -10i + 6

now we find the sum of expressions

15 + 9i - 10i + 6 = 21 - i

Using the normal distribution, it is found that a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The top 26% of the scores are given by scores above the 74th percentile, which corresponds to Z = 0.6433, hence, a student has to score 0.6433 standard deviations above the mean to be publicly recognized.

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Based on the given information, the type of data set created using this survey is Univariate categorical.  So the answer is option D.

In this survey, the data collected represents a single variable, which is the mode of transportation to school. The variable has discrete categories such as walking, car, bus, and bike.

Each student is assigned to one of these categories, and the count of students in each category is provided. Since there is only one variable being considered (mode of transportation), it falls under the category of univariate data.

Additionally, the data is categorical in nature as it represents different transportation options, rather than numerical values.

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Complete question:

A survey of middle school students asked participants how they get to school each morning. The results of the survey are summarized

21 students walk to school

127 students ride in a car to school

105 students take the bus to school

76 students ride their bikes to school

What type of data set was created using this survey?

A. Bivariate numerical

B. Bivariate categorical

C. Univariate numerical

D. Univariate categorical

The x-intercept for function f(x) = −23x + 8 is (8/23, 0)

In this question, we have been given a function f(x) = −23x + 8

We need to find the x-intercept for given function f(x)

Let f(x) = y

So, given function becomes,

y = −23x + 8

To find the x-intercept, set y = 0,

0 = -23x + 8

23x = 8

x = 8/23

Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)

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Answer:

a) \( t_{\alpha/2}=\pm 2.447\)

b) \( t_{\alpha/2}=\pm 2.718\)

c) \( t_{\alpha/2}=\pm 2.779\)

d) \( t_{\alpha/2}=\pm 2.650\)

Step-by-step explanation:

Part a

The degrees of freedom are given by:

\( df=n-1= 7-1=6\)

The confidence is 95% or 0.95 the significance would be \(\alpha=0.05\) and the critical values would be:

\( t_{\alpha/2}=\pm 2.447\)

Part b

The degrees of freedom are given by:

\( df=n-1=12-1=11\)

The confidence is 98% or 0.98 the significance would be \(\alpha=0.02\) and the critical values would be:

\( t_{\alpha/2}=\pm 2.718\)

Part c

The degrees of freedom are given by:

\( df=n-1=27-1=26\)

The confidence is 99% or 0.99 the significance would be \(\alpha=0.01\) and the critical values would be:

\( t_{\alpha/2}=\pm 2.779\)

Part d

The degrees of freedom are given by:

\( df=n-1=14-1=13\)

The confidence is 98% or 0.98 the significance would be \(\alpha=0.02\) and the critical values would be:

\( t_{\alpha/2}=\pm 2.650\)

A value of a test statistic defines the upper bounds of a confidence interval, statistical significance in a test statistic is known as the crucial value.

For part a )

n = 7

Calculating the degrees of freedom \(= df = n - 1 = 7 - 1 = 6\)

At \(95\%\) the confidence level, the t:

\(\alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\frac{\alpha}{ 2} = \frac{0.05}{ 2} = 0.025\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.025,6} = 2.447\\\\\)

The critical value = 2.447

For part b )

n =12

Calculating the degrees of freedom\(= df = n - 1 = 12 - 1 = 11\)

At \(98\%\) the confidence level , the t:

\(\alpha = 1 - 98\% = 1 - 0.98 = 0.02\\\\\frac{\alpha}{ 2}= \frac{0.02}{ 2} = 0.01\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.01,11} =2.718\\\\\)

The critical value =2.718

For part c )

n = 27

Calculating the degrees of freedom \(= df = n - 1 = 27 - 1 = 26\)

At \(99\%\) the confidence level, the t:

\(\alpha = 1 - 99\% = 1 - 0.99 = 0.01\\\\\frac{\alpha}{ 2} = \frac{0.01}{ 2} = 0.005\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.005,26}=2.779\\\\\)

The critical value =2.779

For part d )

n = 14

Calculating the degrees of freedom \(= df = n - 1 = 14 - 1 = 13\)

At \(98\%\) the confidence level, the t:

\(\alpha = 1 - 98\% = 1 - 0.98 = 0.02\\\\\frac{\alpha}{ 2} = \frac{0.02}{ 2} = 0.01\\\\t_{\frac{\alpha}{ 2}} \\\\df = t_{0.01,13} =2.650\)

The critical value =2.650

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Answer:

1 kilometre is 0.621 mile

Answer:

1 Kilometer = 0.621 mile

Step-by-step explanation:

The distance d in miles (mi) is equal to the distance d in kilometers (km) divided by 1.609344

Answer:

a. Peaches cost more by pound because the line it forms is steeper

b. draw a line that is less steep than the plums and under the plums line

Answer:

I believe it's B

Step-by-step explanation:

Sorry if I'm wrong. All I did was multiply the numbers with 3.14 and got around that, was 10 the height?

The quadrant of the terminal side for 15) is fourth quadrant.

To change from radians to degrees, you need to the multiple the number of radians by 180/π.

Multiple the number of radians by 180/π.

15) 5 radians = 5 * (180/π)

16) 11π/6 = (11*180)/6 = 330.

19) 3.5 = 3.5*(π/180) degree.

20) 1 = 1*(π/180) degree.

therefore, terminal side for 15) is fourth quadrant.

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Answer:

∠ = 66.9°

Step-by-step explanation:

Sin ∠ = opposite/hypotenuse

Sin ∠x = 13.8/15

In the graphing calculator use

\(sin^{-1}(13.8/15) = 66.9\)

The angle to the nearest tenth is 66.9 degrees.

In order to determine the angle, the SOCAHTOA notation would be  used. The ladder would form a right-angled triangle. we have the value of the opposite and the hypotenuse. So, sine would be used to determine the value of the angle.

Sine = opposite / hypotenuse

\(sine^{-1}\) = 13.8 / 15

= 66.9 degrees

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The intersection of sets P and Q is given as follows:

P and Q = {2}.

The sets P and Q for this problem are defined as follows:

The intersection between two sets is composed by the elements that belong to both of the sets.

Hence the intersection of sets P and Q is given as follows:

P and Q = {2}.

As the element 2 belongs to both sets P and Q.

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

x = 12

Step-by-step explanation:

g(x)= 2x-4

g(x)= 20

Therefore,

2x-4 = 20

Bringing -4 to the other side it becomes positive,so..

2x= 20+4

= 24

x =24/2

= 12

Answer:

b = 2

Step-by-step explanation:

Since the two lines are parallel, their slope is the same.

Slope = -1

The function: y = -x + b

Plug in the coordinate values to solve for b.

-6 = -8 + b

-6 + 8 = b

2 = b

b = 2