Using factoring, what is the solution set to the equation t2−7t+12=0?

{−3,−4}

{−2,−6}

{3,4}

{5,7}

The typical lifespan of a brand-new extended-life light bulb is 750 hours, with a standard deviation of 50 hours. If these light bulbs' lifespans roughly follow a normal distribution, then 99.7% of the distribution will fall between 600 and 900 hours.

According to the Empirical Rule, 68% of measurements for a randomly distributed variable with a normal distribution are within one standard deviation of the mean.Within two standard deviations of the mean, 95% of the measurements are.

99% of the measurements fall within a 3 SD range of the mean.

This issue involves that:

Mean = 750

50 is the standard deviation

Approximately proportion of the distribution will fall in the range of 600 to 900 hours,

600 = 750 - 3*50

Three standard deviations away from the mean is 600.

900 = 750 + 3*50

3 standard deviations are added to the mean, or 900.

According to the Empirical Rule, between 600 and 900 hours will make up 99.7% of the distribution.

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Answer:

2.5 is the answer

Step-by-step explanation:

The distance between the points is,  15.0.

What is distance between points?

The measurement of distance between two objects or points can be quantitative or occasionally qualitative. Distance in physics or common language can refer to a physical length or an assumption based on other factors.

The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation

d=√((x2 - x1)^2 + (y2 - y1)^2) is used to calculate the distance between two points. You can use this formula to get the separation between any two points on an x-y plane or coordinate plane.

The given points are, (7, -4) and (-8, -5).

We have to find the distance between this two points using the formula,

\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Here,

\((x_1, y_1) = (7, -4) \\(x_2, y_2) = (-8, -5)\)

Plug these values in the above formula,

\(d = \sqrt{(-8-7)^2+(-5-(-4))^2}\\d = \sqrt{(-15)^2+(-1)^2} \\d = \sqrt{225 + 1}\\ d = \sqrt{226} \\d = 15.03329\\d = 15.0\)

Hence, the distance between given two points is 15.0.

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Answer:

The art teacher needs to buy at least 8 packs of 8 brushes.

Step-by-step explanation:

Every pack has 8 brushes. She needs AT LEAST 60 so she cannot have less than 60 brushes but can have more than 60. 8 x 8 =64 so she would have 4 bushes left over. She needed to buy 8 packs so she can have at least 60.

The overall distance Tia jumped was 13.358 feet.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

Tia's high jump heights were 4.5, 4.76, and 4.098 feet.

To find the total number of feet that Tia jumped, you can add up all of her scores.

Her scores were 4.5 feet, 4.76 feet, and 4.098 feet,

So, the total number of feet she jumped is :

⇒ 4.5 feet + 4.76 feet + 4.098 feet

Apply the addition operation to get

⇒ 13.358 feet.

Therefore, the total number of feet she jumped is 13.358 feet.

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Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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The slope of a line measures the steepness of the line relative to the horizontal line. It is calculated using the slope formula, which is a ratio of the vertical and horizontal distance traveled between two points on the line.

To find the slope of the line that passes through point A(-2,0) and point B(0,6), you can use the slope formula:\text{slope} = \frac{\text{rise}}{\text{run}} where the rise is the vertical change and the run is the horizontal change between two points.In this case, the rise is 6 - 0 = 6, and the run is 0 - (-2) = 2. So, the slope is:\text{slope} = \frac{6 - 0}{0 - (-2)} = \frac{6}{2} = 3.

Therefore, the slope of the line that passes through point A(-2,0) and point B(0,6) is 3.In coordinate geometry, the slope of a line is a measure of how steep the line is relative to the horizontal line. The slope is a ratio of the vertical and horizontal distance traveled between two points on the line. The slope formula is used to calculate the slope of a line.

The slope formula is a basic algebraic equation that can be used to find the slope of a line. It is given by:\text{slope} = \frac{\text{rise}}{\text{run}} where the rise is the vertical change and the run is the horizontal change between two points.The slope of a line is positive if it goes up and to the right, and negative if it goes down and to the right.

The slope of a horizontal line is zero, while the slope of a vertical line is undefined. A line with a slope of zero is a horizontal line, while a line with an undefined slope is a vertical line.

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Answer:

Step-by-step explanation:

Since the squares have areas of 32u^2. The side lengths are

\(s=\sqrt{32}\\ \\ \text{By the Pythagorean Theorem}\\ \\ x^2=s^2+s^2\\ \\ x^2=32+32\\ \\ x^2=64\\ \\ x=\sqrt{64}\\ \\ x=8\)

Answer:

3 3/5

Step-by-step explanation:

Answer:

3 3/5

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

The correct option is B. The trips will each bus has to make to get everyone to the stadium is 40 trips.

The number of fans who will need to use satellite parking is:

150,000 x 0.52 = 78,000

Each bus can carry 65 fans, so the total number of trips required is:

78,000 / 65 = 1200

Therefore, each bus will need to make 1200/30 = 40 trips

Satellite parking typically offers lower rates than the central parking area and provides a shuttle service to transport passengers to and from the main terminal. This type of parking is a popular option for travelers who need to park their car for an extended period of time, such as those going on vacation or business trips.

Satellite parking can be located either on-site or off-site, depending on the transportation hub. Some airports have several satellite parking lots located at various distances from the main terminal, while others have a single satellite parking area. Overall, satellite parking is an important component of transportation infrastructure, as it provides a convenient and affordable parking solution for travelers while also helping to alleviate congestion in the main parking area.

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Answer:

Hello,

We don't need vw(x) !

\(w^{-1}(x)=\dfrac{x-1}{2}\)

Step-by-step explanation:

\(w(x)=2x+1=y\\\\2y+1=x \ exchanging \ x\ and\ y\\\\y=\dfrac{x-1}{2} \\\\w^{-1}(x)=\dfrac{x-1}{2}\)

Answer:

135

Step-by-step explanation:

5 times 35 equals 135

Answer:

$175

Step-by-step explanation:

because that is how much she deposited

b.) Given:

To determine whether the pair of the equations parallel perpendicular or neither:

Let us write it in slope intercept form,

The slopes are,

Since,

Hence, the lines are neither parallel nor perpendicular.

So, the answer is neither.

Answer:

  ★ = 3

  ✚ = 4

  ■ = 4

  ◆ = 5

Step-by-step explanation:

If we use direct correspondence in the second equation, then we have ...

  ◆ = 5

  ★ = 3

The values of ★ and ✚ in the first equation must total 7. This means ...

  ✚ = 7 -3 = 4

Again, using direct correspondence in the third equation, we have ...

  ■ = 4

Answer: 1. A 2. C 3. B

Step-by-step explanation:

Answer:

1 - A, 2 - C, 3 - B

Step-by-step explanation:

The dude above me is right

thanks pal

Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...

Step-by-step explanation:

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

The margin of error for a 95% confidence interval for the population mean is approximately 2.57. So, correct option is A.

To find the margin of error for a 95% confidence interval for the population mean (μ), we can use the formula:

Margin of Error = Z * (σ / √n),

where Z is the z-score corresponding to the desired confidence level, σ is the population standard deviation, and n is the sample size.

For a 95% confidence interval, the corresponding z-score is approximately 1.96 (obtained from the standard normal distribution table).

Plugging in the values, we have:

Margin of Error = 1.96 * (8.5 / √42).

Calculating this expression, we find:

Margin of Error ≈ 2.57.

The correct answer is option a) 2.57.

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Answer:

1/5

Step-by-step explanation:

.09 is lower than 1/8 aka 0.125

the square root of 0.02 is also too low

1.6 is great than 18%

Hi There!!

I think your answer is  \(\frac{1}{5}\)

\(Hope\ This\) \(Helps\be\)

\(\sqrt{Loserbrazts}\)

The graph of the function is attached in the solution.

Given is a function f(x) = 16·5ˣ, we need to graph it,

You can use x = 0 and x = 1 to find points that must be on the graph.

f(0) = 16·0.5⁰ = 16

f(1) = 16·0.5¹ = 8

Hence the coordinates are (0, 16) and (1, 8), point them on the graph join the curve, the curve obtained will belongs to the function f(x) = 16·5ˣ

Hence check the graph.

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Answer:

\( - \frac{1}{6} \)

Step-by-step explanation:

\( - \frac{1}{2} + \frac{1}{3} = - \frac{1}{6} \)

The measure of angle V i.e. \(m\angle V\) is \(60^\circ\).

For the triangle TUV (\(\triangle TUV\)), all the sides are of same length i.e. 9. So we can consider this as an equilateral triangle.

We know for an equilateral triangle all of the angles are of same measure.

Now the sum of all angles of a triangle is \(180^\circ\) and there are 3 angles in a triangle. So, each angle will be of measure \(60^\circ\).

Therefore the measure of \(\angle V\) i.e. \(m\angle V\) is \(60^\circ\).

Also the basic three properties of an equilateral triangle are:

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True when desired information of Census is available for all objects in the population

A census is a study that collects data from every member of a population, making it the most comprehensive form of data collection.

A census can provide highly accurate information on the entire population, without any risk of sampling error.

However, conducting a census can be time-consuming and costly, especially for large populations, and may not always be practical or feasible. In some cases, a sample study may be a more practical approach, as it can provide accurate information with less time and cost.

However, it's important to carefully consider the sampling design to ensure that the sample is representative of the population, in order to minimize sampling bias.

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Answer:

12.57

Step-by-step explanation:

this is because is ten more times as big as the 5 in the question

F. Square root of 39

Step-by-step explanation:

Value of \(\boldsymbol{x}\) is \(\boldsymbol{\sqrt{39}}\) units.

Option F. is correct.

Two triangles are said to be similar if their sides are proportional and their corresponding angles are equal.

\(\bigtriangleup ABD \sim \bigtriangleup CAD\)

\(\boldsymbol{\frac{AD}{CD}=\frac{BD}{AD} }\)

  \(\frac{x}{13}=\frac{3}{x}\)

  \(x^2=39\)

   \(x=\sqrt{39}\) units.

Value of \(\boldsymbol{x}\) is \(\boldsymbol{\sqrt{39}}\) units.

Option F. is correct.

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The probability that the person selected will be one who plays baseball but NOT soccer is 12%

First, we have to find the percentage of people who play baseball but not soccer.We know that:
Total number of people = 300
Number of people who play soccer = 15% of 300 = 45
Number of people who play baseball = 21% of 300 = 63
Number of people who play both soccer and baseball = 9% of 300 = 27
Therefore,Number of people who play only baseball = Number of people who play baseball - Number of people who play both soccer and baseball= 63 - 27= 36
So, the percentage of people who play baseball but not soccer is:
Percent of people who play baseball but not soccer = Number of people who play only baseball/ Total number of people= 36/300= 0.12 = 12%

Therefore, the probability that the person selected will be one who plays baseball but NOT soccer is 12%

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The range for the scores is 1.0 (from 9.9 to 8.9). The range is the difference between the highest and lowest numbers in a set of numbers. In this case, the highest score is 9.9 and the lowest score is 8.9, so the range is 1.0.

In mathematics, the range of a function can refer to one of two similar terms:

the common area of ​​the function

The image of the function

Given two groups X and Y, the binary relation f between X and Y is a (exact) function (X to Y), if there is a y in Y for every x in X, so f is associated with y. The sets X and Y are called the area of ​​f and the common domain, respectively.

The range is a measure of dispersion in a set of numbers. To find the range, you need to subtract the lowest score from the highest score. In this case, the scores for the Olympic gymnast are: 9.9, 9.8, 9.6, 9.5, 9.7, 9.1, 8.9, and 9.8.

First, identify the highest and lowest scores:
Highest score: 9.9
Lowest score: 8.9

Next, subtract the lowest score from the highest score:
Range = 9.9 - 8.9

The range for the scores is 1.0 (9.9 to 8.9).

Your answer: 1.0 (9.9 to 8.9)

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