graph the inequality y > 1/2 x - 2

Answer:

Solution

\(x = - 3,\: y = -3\)

Step-by-step explanation:

If the objective is to solve for the system of equations
- 7x - 5y = 36    [1]

x = 2y + 3    [2]

Then the process is as follows

Answer:

-3 and 4

Step-by-step explanation:

since they aren't multiplied a variable

Answer:

2+2 is 4.

You‘re thinking of the number 15.

:)

Answer:

22

Step-by-step explanation:

The null and alternative hypotheses can be stated as follows:

c. H0: µ = 12, Ha: µ ≠ 12

The null hypothesis (H0) assumes that the population mean content of the bottles is 12 ounces, indicating perfect adjustment of the filling machine. The alternative hypothesis (Ha) states that the population mean content is not equal to 12 ounces, suggesting that the machine is not in perfect adjustment.

The rejection region for α = 0.01 can be specified as:

c. |t| > 2.68

This means that we would reject the null hypothesis if the absolute value of the calculated t-statistic is greater than 2.68.

To calculate the p-value, we need the t-statistic corresponding to the sample mean and standard deviation. With a sample mean of 11.88 ounces, a standard deviation of 0.35 ounces, and a sample size of 49, we can calculate the t-statistic. The p-value represents the probability of observing a sample mean as extreme as the one obtained, assuming the null hypothesis is true.

The p-value cannot be determined without the t-statistic value or the corresponding degrees of freedom.

Without the p-value, we cannot draw a definitive conclusion. To make a conclusion, we would compare the calculated t-statistic to the critical t-value based on the chosen significance level (α = 0.01). If the calculated t-statistic falls within the rejection region (|t| > 2.68), we would reject the null hypothesis. If the calculated t-statistic falls outside the rejection region, we would fail to reject the null hypothesis.

For such more question on hypotheses

https://brainly.com/question/606806

#SPJ8

1) The Roman military was directed by consuls

2) Senate, a body where plebians chose the leaders.

3) a patrician-only ruling body known as the Assemblies.

The highest ranked magistrate in the Roman Republic was known as a consul (consul in Latin). Two consuls, who were responsible for overseeing the state and, in particular, the army in the field, were chosen annually from among citizens over the age of forty-two for the office, which was annual and collegiate. The consuls, however, held relatively little power and influence during the foundation of the Empire because the emperor assumed the role of supreme leader, serving solely as a symbol of Republican Rome's past.

The Senate, also known as Senatus, de senex, elder, was one of the components of Ancient Rome's government. It was made up of 300 members drawn from the ancient magistrates during the most of the Republic, yet following Sila's dictatorship and during the imperial era, that number rose to 900. It was responsible for approving the laws chosen by the electorate, giving magistrates advice, and managing foreign policy, finances, and religion.

The complete question is :

Insert a picture below

To learn more about Roman Republic, refer to:

https://brainly.com/question/1566483

#SPJ4

Answer:4.8

Step-by-step explanation:

30/3 x 1.6

Answer:

It will take Stephon about A: 163 seconds to run two laps when he is 192 months old.

Step-by-step explanation:

To find 163 seconds all I did was eyeball where 192 months is going to be on the x-axis and lined it up with the provided line of fit, then I ran it across the x-axis to the y-axis and I got around 163 seconds.

Given line of best fit is y = -2.1x + 565.6, where x is age in months and y is time in seconds, it take Stephon 162.4 seconds to run two laps on the track when he is 192 months old

A line of best fit is a straight line that minimizes the distance between it and some data. The line of best fit is used to express a relationship in a scatter plot of different data points.

Given in the question,

x =  age in months

y = time in seconds

Here, age of child is independent and time taken to run two laps is dependent variable.

given line of best fit :  y = -2.1x + 565.6

given y = 192 months

finding the value of y :

y = -2.1x + 565.6 = -2.1 * 192 + 565.6 = 162.4

Learn more about line of best fit here

https://brainly.com/question/29250235

#SPJ2

Answer:

Since √1 = 1 and

√4 = 2 it is known that

√2 is between 1 and 2

Answer:

\(=8x-y-1\)

Step-by-step explanation:

So we have the expression:

\((5x-2y+7)+(3x+y-8)\)

Combine like terms:

\(=(5x+3x)+(-2y+y)+(7-8)\)

Add:

\(=8x-y-1\)

And we're done!

Answer:

8x-y-1

Step-by-step explanation:

First remove the parentheses

5x-2y+7+3x+y-8

Add 5x and 3x

8x-2y+7+y-8

add -2y and y

8x-y+7-8

Subtract 8 from 7

8x-y-1

The correct statements are;

The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.

The point of intersection of the two functions indicates that the functions are inverses.

Option C and D

To accurately compare a function and its inverse based on the graphs, we have to know the following;

Learn more about functions at: https://brainly.com/question/11624077

#SPJ1

Step-by-step explanation:

it us a polynomial with a second degree variable

Answer:

Y less than or equal to zero

Step-by-step explanation:

The graph shows that its moving downwards, therefore the Y value is decreasing..

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

Answer:

Mean = 6.2

Explanation:

The times recorded during the experiment are:

7.2, 6.3, 6.9, 4.1, 6.3, 6.4

To find the mean time, add the times together and divide by 6.

The mean is 6.2 seconds.

Answer:

Greater.

Step-by-step explanation:

Hope this helps!

Answer:

greater than

Step-by-step explanation:

Answer:

3 3/20 or 63/20

Step-by-step explanation:

first off, next time make sure your screenshot is sharp enough and clear enough.

so if we notice the two points on the midline that you took, the horizontal distance will be from -4.5 to 3.6 which gives us a distance over the x-axis of 8.1 units, now half of that will be to the "orange" area, half of 8.1 is 4.05.  Now, the ending of the "orange" part is not really clear, but that'd be the period, because that is the part that's repeating.

How long is it?

well, our 4.05 half ends after the "2", so without a better calibration of the picture, hmmm 2.20 or thereabouts, let's make an assumption the "orange" section ends at 16, so that'd be 4.05 + (16 - 2) ≈ 18.05.

9514 1404 393

Answer:

  (a) the diagram is incorrect

Step-by-step explanation:

There is no overlap between the sets of rational and irrational numbers. The diagram is incorrect.

\(13~~ + ~~\stackrel{ 13+8 }{21~}~ + ~~\stackrel{ 21+8 }{29}~~ + ~~\stackrel{ 29+8 }{37}~~ + ~~\stackrel{ 37+8 }{45} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} \displaystyle\sum_{i=0}^{4}~13+8i \end{array}}~\hfill\)

From the given circle graph, we can see that there are 90+45+27+63=225 shoes. Then, the percentage of Nike is given by

and the percentage of Under Armour is

Then, the percent of the shoes that were Nike or Under Armour is

that is 68 percent

The value of f(x) when x is 3 is 15

A Function in mathematics is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

For example, if f(x) = x² +2x +5 , the value of f(x) when x is 2 is calculated as;

f(x) = 2² + 2(2) + 5

f(x) = 4 +4+5

= 13

This done by substituting the given value of x into the expression.

Similarly , if f(x) = 5x, the value of f(x) when x is 3 is calculated as;

f(x) = 5(3)

f(x) = 15

therefore the value of f(x) when x is 3 is 15

learn more about function from

https://brainly.com/question/11624077

#SPJ1

a) The angle swept out  since kelsey started skiing: 1.1498 radians

b) The distance Kelsey skied:  3.334 km

In this question, we have been given Kelsey is skiing along a circular ski trail that has a radius of 2.9 km. she starts at the 3-o'clock position and travels in the ccw direction. kelsey stops skiing when she is 1.185 km to the right and 2.647 km above the center of the ski trail.

Consider the following figure for reference.

We need to find the angle θ and the distance kelsey skied (i.e., the arc length)

Here, the horizontal distance x = 1.185 km and the vertical distance y = 2.647 km

a. the tangent of angle θ would be,

tan(θ) = y/x

tan(θ) = 2.647/1.185

tan(θ) = 2.2337

θ = arctan(2.2337)

θ = 65.88°

θ = 1.1498 radians

b. The length of the arc is:

s = rθ

s = 2.9 * 1.1498

s = 3.334 km

Therefore, a) the angle swept out : 1.1498 radians

b) the distance Kelsey skied:  3.334 km

Learn more about the arc length here:

https://brainly.com/question/16403495

#SPJ4

Answer:

928 in2

768 in2

464 in2

160 in2

let's say the segment with A(-5 , -8) and B(10 , 7) gets partitioned by point C

\(\textit{internal division of a line segment using ratios} \\\\\\ A(-5,-8)\qquad B(10,7)\qquad \qquad \stackrel{\textit{ratio from A to B}}{3:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{3}{2}\implies \cfrac{A}{B} = \cfrac{3}{2}\implies 2A=3B\implies 2(-5,-8)=3(10,7)\)

\((\stackrel{x}{-10}~~,~~ \stackrel{y}{-16})=(\stackrel{x}{30}~~,~~ \stackrel{y}{21}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +30}}{3+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{-16 +21}}{3+2} \right)} \\\\\\ C=\left( \cfrac{ 20 }{ 5 }~~,~~\cfrac{ 5}{ 5 } \right)\implies C=(4~~,~~1)\)

Answer:

( 4, 1 )

Step-by-step explanation:

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

Answer:

\(x=5\)

Step-by-step explanation:

From the question we are told that

The logarithmic function \(y= 398-73 lnx\)

Price p= $275

Generally we solve mathematically for the equation \(y= 398-73 lnx\)

\(y= 398-73 lnx\)

\(275= 398-73 lnx\)

\(73 lnx=123\)

\(lnx=\frac{123}{73}\)

Therefore

\(x=e^(^\frac{123}{73}^)\)

\(x=5.4\)

Nearest whole number

\(x=5\)

The number of required hand-held electric organizers would be 5, option b. Understand the step-by-step calculations below.

The logarithm is an exponent or power to which a base must be raised to obtain a given number.

Mathematically, logarithms are expressed as, m is the logarithm of n to the base b if \(bm = n\), which can also be written as \(m = log_nb\).

Given function is,

\(y=398-73 lnx\)

Also, the cost is $275 then from the given equation,

\(398-73 lnx=275\)

Now, solving the above equation we get,

\(398-73 lnx=275\\73ln=398-275\\lnx=\frac{123}{73}\)

Now, shifting the algorithm into another side we get the exponential equation as,

\(\\x=e^{\frac{123}{73} }\\x=5.39\\x\approx5\)

Learn more about the topic Logarithm here:

https://brainly.com/question/26503564

Answer:

Direct - telling us she's strong, petite, fiery, afraid

Step-by-step explanation:

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

Learn more about algebraic expressions from:https://brainly.com/question/395066

#SPJ1

All the roots of the function will be -5, 5, and -10. Then the correct option is D.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The function is given below.

f(x) = x³ + 10x² - 25x - 250

Factorize the equation, then we have

f(x) = x³ + 10x² - 25x - 250

f(x) = x²(x + 10) - 25(x + 10)

f(x) = (x² - 5²)(x + 10)

f(x) = (x + 5)(x - 5)(x + 10)

Then the roots of the function are given as,

f(x) = 0

(x + 5)(x - 5)(x + 10) = 0

x = -5, -10, 5

All the roots of the function will be -5, 5, and -10. Then the correct option is D.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ1

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8