What inequality represents the graph? 4 . -8-40 48 x <= - 8; x < - 8; x > - 8; x < 8

Answer:

It would be the first and the third one.

Step-by-step explanation:

The average rate of change of the enrollment during this time period is increasing with 48 students/year.

What is rate of change?

In 2001, there were 940 students.

In 2009, there were 1324 students.

Represent year with y and students with x.

Average rate of change = (x₂ - x₁) / (y₂ - y₁)

= (1324 - 940) / (2009 - 2001)

= 384/ 8

= 48

Average rate of change = 48 students/year

Hence, the average rate of change of the enrollment during this time period is increasing with 48 students/year.

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The students that prefer science than Maths are 27

From the question, we have the following parameters that can be used in our computation:

Math = 24

Science = 33

Total proportion = 100

The additional number of students that prefer science than Maths is calculated as

Additional = (Science - Maths)/Total proportion * Number of students

So, we have

Additional = (33 - 24)/100 * 300

Evaluate

Additional = 27

Hence, the number of students is 27

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54899.91 is the salary level that divides the teachers into one group that gets a raise and one that doesn't. Using the concept of probability -

Probability is a mathematical discipline that concerns with numerical figures of how probable an occurrence is to occur or how probably a statement is to be true. A number between 0 and 1 is the probability of an occurrence, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given that,

the salary of teachers in a particular school district is normally distributed with a mean of 50000.

standard deviation of 2500

2.5% of the salaries would not get a raise

P (X > x) = 0.025

or, P {( X - 50000)/2500} ≤ {x - 50000/2500} = 0.975

or, P (Z ≤ ( x - 50000)/2500) = 0.975

or, Φ ((x - 50000)/2500) = 0.975

or, (x - 50000)/2500 = Φ⁻¹ (0.975)

or, (x - 50000)/2500) = 1.959964

or, x = 50000 + (1.959964 × 2500)

or, x = 54899.909961

or, x = 54899.91

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Answer: [tex][-3,-1) \cup (-1, 6)[/tex]

Step-by-step explanation:

The domain of a function is the set of [tex]x[/tex]-values.

A hole means that the value is not included in the domain, whereas a filled circle means the value is included in the domain.

Thus, the domain is [tex][-3,-1) \cup (-1, 6)[/tex].

Answer:

y = 2x + 2

Step-by-step explanation:

The slope of the line is 2 because you go up 2 and to the right 1. The y-intercept is 2, which where the line intersects through the y-axis.

Slope-intercept form:

y = mx + b

m is the slope of the line and b is the y-intercept

Answer:

12.1 cm (nearest tenth)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Sine Rule} \\\\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}[/tex]

From inspection of the given triangle:

Substitute the values into the sine rule to find the measure of angle C:

[tex]\implies \dfrac{\sin A}{a}=\dfrac{\sin C}{c}[/tex]

[tex]\implies \dfrac{\sin 81^{\circ}}{13.5}=\dfrac{\sin C}{8.2}[/tex]

[tex]\implies \sin C=\dfrac{8.2\sin 81^{\circ}}{13.5}[/tex]

[tex]\implies C=\sin ^{-1} \left(\dfrac{8.2\sin 81^{\circ}}{13.5}\right)[/tex]

[tex]\implies C=36.86482816..^{\circ}[/tex]

Interior angles of a triangle sum to 180°.

[tex]\implies A+B+C=180^{\circ}[/tex]

[tex]\implies 81^{\circ}+B+36.86482816...^{\circ}=180^{\circ}[/tex]

[tex]\implies B=62.13517184...^{\circ}[/tex]

Substitute the found value of angle B into the sine rule and solve for b:

[tex]\implies \dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]

[tex]\implies \dfrac{\sin 81^{\circ}}{13.5}=\dfrac{\sin 62.13517184...^{\circ}}{b}[/tex]

[tex]\implies b=\dfrac{13.5\sin 62.13517184...^{\circ}}{\sin 81^{\circ}}[/tex]

[tex]\implies b=12.08347925...[/tex]

Therefore, the measure of b is 12.1 cm (nearest tenth).

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is x²+ (y-3)² = 36

The standard form for finding the equation of a circle is expressed as;

[tex](x-a)^{2} + (y-b)^{2} = b = r^{2}[/tex]

where;

(a, b) is the center of the circle

r is the radius of the circle

Given the following

diameter = 12 units

radius = 12/2 = 6 units

If the centre lies on the y-axis, the center will be at (0, 3).

Substituting into the formula, we will have[tex](x-0)^{2} + (y-3)^{2} = (6)^{2}[/tex]equivalent to x²+ (y-3)² = 36

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Answer:

1:25 or 1/25

Step-by-step explanation:

Rate=16/400

1/25 or 1:25

Answer: 16 to 400. This will be the answer I believe.

The expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

Option (C) is correct.

What is a discount?

A discount is a reduction in the price of a product or service. It can be offered for a variety of reasons, such as to encourage customers to make a purchase or to clear inventory. Discounts can be expressed as a percentage off the original price, or as a fixed dollar amount.

Part A: The expression that would calculate the final price of a hat is h(0.775)(1.08875). This takes into account the 22.5% discount by multiplying the original price by 0.775, and then adds the 8.875% sales tax by multiplying the discounted price by 1.08875.

Part B: If the original price of a hat is $42, then the final price of buying four hats after the discount and sales tax would be $42 x 4 x 0.775 x 1.08875 = $142.

Hence, the expression for the final price of a hat would be h(0.775)(0.08875) and the final price of buying four hats after the discount and sales tax would be $142.

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Answer:

√2-√3

Step-by-step explanation:

√3 (√2 -1 ) + √2 (1-√3)

= √3 x √2 - √3 + √2 - √2 x √3

= √6 - √3 + √2 - √6

= √2 - √3

The equation of the red graph is x² + 2

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Since the function in the graph is headed upward , we know the portion of  x²  is positive . And since the highest point of the red line on the y-axis is 2, we can conclude the function represented by the red line is

x² + 2

Therefore the equation of red graph is  x² + 2

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Answer:47/50

Step-by-step explanation:

47+3=50

47 adult tickets sold

47/50

Answer: To determine which expression is equivalent to the one Shea wrote, we can first evaluate the expression 5(y + 2) + 4. The parentheses indicate that we should first perform the operation inside the parentheses, which is to add 2 to y. This results in 5(y + 2) = 5y + 10.

We can then add 4 to both sides of the equation to get 5y + 10 + 4 = 5y + 14. This expression is equivalent to the one Shea wrote, 5(y + 2) + 4.

Therefore, the expression that is equivalent to the one Shea wrote is 5y + 14.

Answer:

10 should be the correct answer

Step-by-step explanation:

im sooooo sorry if its wrong :|

A line's equation can be written as y = mx + b, y = ax + b, or y = a + bx. As may be seen, the equation for the regression line is similar as true slope.

Understanding the distinction between negative, positive, zero, and undefinable slopes is crucial.

As a result, the rather perplexing term "no slope" is also frequently used in this context.

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Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings.

What is selling cost?

The overall expense expended by a monopolistically competitive corporation to set its product apart from those of its rivals is referred to as the selling cost. For instance, a company's advertising costs are included in the cost of selling the product.

Given that,

She sells 4 paintings she apply a charge $ 9.96. .....(i)

Again she sells 8 paintings she apply a charge $19.92. ....(ii)

Multiplying statement (i) by 5

She sells 20 paintings she apply a charge $49.8....(iii)

Multiplying statement (ii) by 2

She sells 16 paintings she apply a charge $39.84....(iv)

Subtract (iv) by (iii)

The difference between shipping 20 paintings to shipping 16 paintings is $(49.8 - 39.84) = $ 9.96

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The 90% C.I. is more precise in estimating a mean than the 95% C.I.

What does confidence interval mean?

Your estimate's mean plus and minus the range of that estimate's fluctuation is called a confidence interval.

                        If you repeat your test, you can expect your estimate to fall between these numbers with a reasonable degree of certainty. In statistics, confidence is another word for probability.

What does the term "confidence interval" mean?

A claim of 95% confidence in statistics essentially means that the researcher has observed one conceivable interval out of many possible ones, and that 19 out of 20 of those intervals contain the correct value of the parameter.

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Answer:

1968

Step-by-step explanation:

By finding the volume of the 'missing piecce' and subtracting that from the volume of the figure if it was a prism we find that the answer is 1968

(14 x 16 x 12) - (10 x 6 x 12) = 1968

          v                   v

2688           --        720       = 1968

Hope this helps!!

1: 17/4 or 4.25

2: 375/35 or 10.63          

3: 146/15 or 9.73        

4: 22/3 or 7.3

5: 265/24 or 11.04

ANSWER: the people residing locally that are attending collage is

70% and on the bottom it is 40% and the people entering the work force it is 30%

Step-by-step explanation:

GIVE BRAINLIEST

The percentage of all graduates who plan to enter the workforce and reside locally is 15%.

According to the tree diagram, we need to calculate the percentage of high school graduates who plan to enter the workforce and reside locally. To calculate this, we need to follow the branches in the tree diagram. Let's start from the top:

1. The first branch shows that 30% of high school graduates plan to enter the workforce.

2. From those 30%, 50% plan to reside locally.

3. To calculate the percentage of all graduates who plan to enter the workforce and reside locally, we need to multiply the percentages from steps 1 and 2 together: 30% * 50% = 0.30 * 0.50 = 0.15 or 15%.

Therefore, the percentage of all graduates who plan to enter the workforce and reside locally is 15%.

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Answer: [tex]g(x)=(x+3)^2[/tex]

Step-by-step explanation:

When shifting a function left [tex]3[/tex] units, [tex]f(x) \to f(x+3)[/tex].

Therefore, [tex]g(x)=(x+3)^2[/tex].

The vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast is 198.

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum. 45 out of 100 is represented by 45%, for instance. Finding the percentage of a whole in terms of 100 is what percentage calculation is.

Given:

The Total vote of the election = 440,

The vote received by one candidate = 45 % of total votes,

Solve the expression as given below,

The vote received by one candidate = 45 % of 440

The vote received by one candidate = 45 / 100 × 440

The vote received by one candidate = 0.45 × 440

The vote received by one candidate = 198

Therefore, the vote received by the candidate if he receives 45 % of the votes and a total of 440 votes were cast, is 198.

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Note that:

Recall that we are given the following:

To determine the number of packages Rita started with, we must resolve:

(Number of saplings planted by Rita + Number of saplings left)/Number of saplings per package

that is:
x = (15 + 20)/5

x = 35/5

x = 7

Thus, when she started, she actually had 7 packages. By the time she was done, she had 4.

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Answer:

0=−2

Step-by-step explanation:

Answer:  y= 93

Step-by-step explanation:

10y + 21 = 951

10y = 930

y= 93

Answer: To write the equation in slope-intercept form, we need to isolate the y term on one side of the equation. We can do this by adding 4 to both sides of the equation:

y - 4 + 4 = x - 3 + 4

Combining like terms on each side, we get:

y = x - 3

This is the slope-intercept form of the equation. The slope of the line is 1, and the y-intercept is -3. The slope-intercept form of the equation is y = 1x - 3.

Answer: y = x + 1

Step-by-step explanation:

Write y - 4 =(x-3) in slope-intercept form

This is in Point Slope Form.

y - 4 =(x-3)

We add 4 to both sides

==> y - 4 + 4 = x-3 + 4

==> y = x + 1

This is slope intercept form, since it resembles the equation, y = mx + b, but m equals zero.