The graph represents a function. Find the input value corresponding to an output of 2.

Answer:

6

Step-by-step explanation:

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

Probability serves as an indicator of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing an unlikely event and 1 representing an unavoidable event. Switching a fair coin and coin flips has a probability of 0.5 or 50% because there are two equally likely outcomes. (Heads or tails). Probability theory is a branch of mathematics that studies happenings rather than their properties. It is applied in many fields, including statistics, fund, science, and engineering.

The central limit theorem can be used to approximate the sample mean distribution as a normal distribution with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size.

The standard error of the mean (SE) is calculated as follows:

SE = σ/√n

Where n is the sample size and is the population standard deviation.

SE = 83/√160 = 6.575

Z = (X - μ) / SE

Where X represents the sample mean, is the population mean, and SE represents the standard error of the mean.

Z = (553.9 - 541) / 6.575 = 1.94

As a result, the probability that the average battery life exceeds 553.9 minutes is 0.0262 (or 2.62%). The answer, rounded to four decimal places, is 0.0262.

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The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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Answer:

Probability is 0.831727

Step-by-step explanation:

The probability can be calculated as below

There are multiple scenarios

Scanerio 1

0 occurance & No damage = 1 - 0.2 - 0.03 - 0.001 = 0.769

Scanerio 2

1 occurance & No damage = 0.2 x ( 1 - 0.7 ) = 0.06

Scanerio 3

2 occurance & No damage = 0.03 x ( 1 - 0.7 )^2 = 0.0027

Scanerio 4

3 occurance & No damage = 0.001 x ( 1 - 0.7 )^3 = 0.000027

P(structure will not suffer any damage) = Scanerio 1 + Scanerio 2 + Scanerio 3 + Scanerio 4 = 0.769 + 0.06 + 0.0027 + 0.000027 = 0.831727

Answer:

640 bees

Step-by-step explanation:

8 multiplied by 2 = 16

16 multiplied by 40 = 640

The data in the table can be modeled by this linear equation in slope-intercept form: y = 8x - 5.

The slope is 8, which means the wages earned increases at rate of 8 dollars per hour as the time increases.

The y-intercept is -5 and it represent the initial wages earned.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is represented by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (24.00 - 8.00)/(3 - 1)

Slope (m) = 16.00/2

Slope (m) = 8

At data point (1, 3), a linear equation in slope-intercept form for this line can be calculated as follows:

y - y₁ = m(x - x₁)

y - 3 = 8(x - 1)

y = 8x - 8 + 3

y = 8x - 5

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Ellie's growth rate is 2.4 pounds per month.

To find Ellie's growth rate in pounds per month, we divide the change in weight by the time period. Let's calculate it using the given information:

Determine the change in weight:

Change in weight = 0.6 pounds

Determine the time period:

Time period = 0.25 months

Calculate the growth rate:

Growth rate = Change in weight / Time period

Substituting the values:

Growth rate = 0.6 pounds / 0.25 months

To divide by a fraction, we multiply by its reciprocal:

Growth rate = 0.6 pounds * (1 / 0.25 months)

Simplifying the fraction:

Growth rate = 0.6 pounds * 4 months

Multiplying:

Growth rate = 2.4 pounds per month

Therefore, Ellie's growth rate is 2.4 pounds per month. This means that, on average, she gains 2.4 pounds every month.

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The growth rate of the plant shown in the graph is 1/2 centimeter per week

From the question, we are to determine the growth rate of the plant

To determine the growth rate of the plant, we will determine the slope of the line

To determine the slope of the line passing through the points (1, 1/2) and (3, 1 1/2), we can use the slope formula:

Slope = (Change in y) / (Change in x)

We first calculate the change in y by subtracting the y-coordinate of the first point from the y-coordinate of the second point:

Δy = 1 1/2 - 1/2 = 1

Next, we calculate the change in x by subtracting the x-coordinate of the first point from the x-coordinate of the second point:

Δx = 3 - 1 = 2

Finally, we can calculate the slope by dividing the change in y by the change in x:

Slope = Δy / Δx = 1 / 2

The slope of the line is 1/2.

Hence, the growth rate is 1/2 centimeter per week

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Answer:

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C. 29

Step-by-step explanation:

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Answer:

infinitely many solutions (infinite solutions)

Step-by-step explanation:

2y - 8 = 6x

   +8    +8

-------------------------------

2y = 6x + 8

\(\frac{2y}{2}\) = \(\frac{6x}{2}\) + \(\frac{8}{2}\)

-------------------------------

y = 3x + 4

Because 3x + 4 = 3x + 4, there are infinitely many solutions to this system of equations. This is because they're the exact same equations. Any substitution for x will give you a true statement to y when compared to the other equation.  

The value of the missing coefficient is 12

Lets explain how to factorize the difference of two cubes

- The factorization of the difference of two cubes like a³ - b³, is a

 product of a binomial and trinomial

- The binomial is the cube root of the first term and the second term

∵ The ∛a³ = a and ∛b³ = b

∴ The binomial is (a - b)

- We will find the trinomial from the binomial by square the 1st term

of the binomial and multiply the 1st term and the 2nd term of the

binomial with opposite sign of the binomial and square the 2nd

term of the binomial

∴ The trinomial is (a² + ab + b²

∴ The factorization of (a³ - b³) is (a - b)(a² + ab + b²)

* Lets solve the problem

∵ 8f³ - 216g³ is the difference of two cubes

∵ ∛(8f³) = 2f

∵ ∛(216g³) = 6g

∴ The binomial is (2f - 6g)

- Lets make the trinomial

∵ (2f)² = 4f²

∵ (2f)(6g) = 12fg

∵ (6g)² = 36g²

∴ The trinomial = (4f² + 12fg + 36g²)

∴ The factorization of 8f³ - 216g³ = (2f - 6g)(4f² + 12fg + 36g²)

∴ The value of the missing coefficient is 12.

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complete question:

Find the value of the missing coefficient in the factored form of 8f^3-216g^3

8f^3-216g^3=(2f-6g) (4f^2+?fg+36g^2)

The value of ? =

The required area of the lune is (D) √3/4 - π/24.

The measurement that expresses the size of a region on a flat or curved surface is termed area.

Surface refers to the area of a surface or the boundary of a tri structure, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

So,

The lune's area is equal to the smaller semicircle's area minus the segment's area.

The area of the segment is equal to the sum of the areas of the sector and the triangle formed by the intersection points and the larger semicircle's center.

Additionally, because all of the sides are one unit, the triangle thus constructed is an equilateral triangle.

Area of the lune = π * 1/8 (60/360 * π * 1² - √3/4 * 1²)

Area of the lune = π/8 - π/6 + √3/4

= √3/4 - π/24

Therefore, the required area of the lune is (D) √3/4 - π/24.

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Answer:

i go with 55

Step-by-step explanation:

Answer:

25°{vertically opposite angle}

hope it helps.

Using it's concept, the relative frequencies are given as follows:

A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.

In County 1, we have that there are 6,520 residents, out of which 4,050 are Democratic and 2,470 are Republican, hence the relative frequencies are given as follows:

In total, there are 24,505 residents, out of which 10,075 are Democratic and 14,430 are Republican, hence the relative frequencies are given as follows:

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Answer: is the correct answer

Republican residents of County 1: 10.1%

Democratic residents of County 1: 16.5%

Total Republican residents: 58.9%

Total Democratic residents: 41.1%

Answer:

118,692

Step-by-step explanation:

The inequality represented by the graph is given as follows:

y > 3x - 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph crosses the y-axis at y = -4, hence the intercept b is given as follows:

b = -4.

When x increases by 1, y increases by 3, hence the slope m is given as follows:

m = 3.

Hence the equation of the line is:

y = 3x - 4.

The inequality is composed by the values to the right (greater) of the line, and has an open interval due to the dashed line, hence:

y > 3x - 4.

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Answer:

Hope this is correct

HAVE A GOOD DAY!

Answer:

x=25

Step-by-step explanation:

2(x+25)=100

2x+50=100

2x=50

x=25

Answer:

could you show a picture and repost thx

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

8*7 - 6 = 50

You can't turn this into an equation because there is nothing that states something is equal to each other. You can turn it into an expression though.

(60÷6​) + b

Answer:

me

Step-by-step explanation:

Using the t-distribution, it is found that since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

At the null hypothesis, we test if patients with schizophrenia do not have less TBV on average than a  patient that is considered normal, that is, the subtraction is not negative, hence:

\(H_0: \mu_S - \mu_N \geq 0\)

At the alternative hypothesis, we test if they have less, that is, if the subtraction is negative, hence:

\(H_1: \mu_S - \mu_N < 0\)

Regarding each sample, the mean and standard deviation are found using a calculator.

\(\mu_N = 1463339.2, s_N = 125458.28 , n_N = 32\)

\(\mu_S = 1445132.3, s_S = 171355.8, n_S = 30\)

We have the standard deviation for each sample, hence, the t-distribution will be used.

The standard errors are given by:

\(Se_N = \frac{125458.28}{\sqrt{32}} = 22178.1\)

\(Se_S = \frac{171355.8}{\sqrt{30}} = 31285.1\)

The distribution of the difference has mean and standard error given by:

\(\overline{x} = \mu_S - \mu_N = 1445132.3 - 1463339.2 = -18206.9 \)

\(Se = \sqrt{Se_N^2 + Se_S^2} = \sqrt{22178.1^2 + 31285.1^2} = 38348.7\)

The test statistic is given by:

\(t = \frac{\overline{x} - \mu}{Se}\)

In which \(\mu\) is the value tested at the hypothesis.

Hence:

\(t = \frac{\overline{x} - \mu}{Se}\)

\(t = \frac{-18206.9 - 0}{38348.7}\)

\(t = -0.47\)

The critical value for a left-tailed test, as we are testing if the mean is less than a value, with a significance level of 0.1 and 32 + 30 - 2 = 60 df is \(t^{\ast} = 2\)

Since the test statistic is less than the critical value for the left tailed test, there is not enough evidence to show that the patients with schizophrenia have less TBV on average than a  patient that is considered normal.

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Answer:

3,600,000,000

Step-by-step explanation:

if i understood this correctly, you just multiply 100,000,000 by 36 and you're done

The graphs of  f (x) = x3 + x2 – 6x and g(x) = ex + 2 – 1 have the x intercepts in common

In mathematics, the x - intercepts (or zeros or roots) of a function are the points where the function intersects the x - axis, or in other words, where the value of y is zero.

Examining the two graphs shows that both functions intersects the x axis in a common place hence we can say that they what the graphs have in common is the x intercepts

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Check the picture below.

To find the x-intercept of the equation 3x + 5y = 9, we set y = 0 and solve for x.When y = 0, the equation becomes 3x + 5(0) = 9, which simplifies to 3x = 9.Solving for x, we get x = 3.The x-intercept of the equation 3x + 5y = 9 is (3, 0).

What is x-intercept ?

An x-intercept is a point where a graph or a line crosses the x-axis. It is the value of the independent variable (x) when the dependent variable (y) is equal to zero. In other words, it is the point at which a function or equation intersects the x-axis, and its coordinates are of the form (x, 0). To find the x-intercept of a graph or equation, you can set y=0 and solve for x.

To find the x-intercept of the equation 3x + 5y = 9, we need to set y = 0 and solve for x.

So, we have:

3x + 5(0) = 9

3x = 9

x = 3

Therefore, the x-intercept of the equation 3x + 5y = 9 is (3,0), which means the point where the line intersects the x-axis is (3,0).

To verify, we can graph the equation and see that the point (3,0) is indeed on the x-axis.

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Answer:

-29

Step-by-step explanation:

subtracting the negative 22 from the -17 made it positive until you subtract the 34 which made it -29

the solution to the equation 3/5(4x + 1) = 3(2 - 4) + 9 is x = 2.4.

3/5(4x + 1) = 3(2 - 4) + 9

12/5x + 3/5 = -6 + 9

Simplify the right-hand side: 12/5x + 3/5 = 3

To find the x term, subtract 3/5 from both sides:

12/5x = 3 - 3/5

Simplify the right-hand side:

12/5x = 2 2/5

Divide both sides by 12/5, multiplied by the reciprocal:

x = (2 2/5) / (12/5)

Simplify the right-hand side:

x = (12/5) * (12/5) = 2.4

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Here,

5 and 13 are expressions for 2x.

The symbol "=" joins these two expressions.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.

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