The graph shows which quadratic equation? Responses A y = -(x−3)^2 + 4y = - ( x - 3 ) 2 + 4 B y = (x−4)^2 - 3 C y = (x+4)^2 - 3y = ( x + 4 )^2 - 3 D y = (x−4)^2 + 3

Answer:

4x - 43

Step-by-step explanation:

7(x-4) = 7x - 28

-3(x + 5) = -3x - 15

7x - 28 - 3x - 15 = 4x - 43

Answer:4x-43

Step-by-step explanation:

Step-by-step explanation:

tan(37) = x/3

x=tan(37)*3

The probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

To solve this problem, we first need to find the expected number of people who will show up on the flight. Since the airline estimates that 96% of people booked will actually show up, we can estimate that 0.96 x 70 = 67.2 people will show up.

Next, we need to find the probability that the number of people who show up will exceed the capacity of the plane, which is 65. To do this, we can use the normal distribution with a mean of 67.2 and a standard deviation of √(70 x 0.96 x 0.04) = 1.63.

We want to find the probability that the number of people who show up is greater than 65. To do this, we can standardize the value of 65 using the formula z = (x - mu) / sigma, where x is the value we want to standardize (65), mu is the mean (67.2), and sigma is the standard deviation (1.63).

z = (65 - 67.2) / 1.63 = -1.35

Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being less than -1.35 is 0.0885. Therefore, the probability that the number of people who show up will exceed the capacity of the plane is approximately 0.0885, or 8.85%.

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If every 2 inches of Yolanda's drawing represents 3 feet of the actual wall, we can use the scale factor to convert the dimensions of the drawing to the dimensions of the actual wall.

Since we are dealing with area, we need to square the scale factor.

2 inches : 3 feet

(2 inches / 3 feet)^2 = (2/36)² = 1/324

This means that every square inch of Yolanda's drawing represents 1/324 square feet of the actual wall.

If the area of the mural in Yolanda's drawing is A square inches, then the area of the actual mural is:

A (square inches) x (1/324) (square feet per square inch) = A/324 square feet

Therefore, to find the area of the actual mural in square feet, we need to first find the area of the mural in Yolanda's drawing and then divide by 324.

If the area of the mural in Yolanda's drawing is, for example, 500 square inches, then the area of the actual mural is:

500 (square inches) / 324 = 1.54 square feet (rounded to two decimal places)

Therefore, the area of the actual mural is 1.54 square feet.

\( \: \: \)

Answer:5.83k

Step-by-step explanation:

annual means divide current by 6

Step-by-step explanation:

mean; add all of them u will get 149 then ÷by 8 answer is 18.62

median. the middle number is 17

mode..the most common numbers are 17 and 19

range is 24-15=9

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

The height (h) is represented by:

h(t) = -4.9t² + 40t + 20

The maximum height is at h'(t) = 0, hence:

h'(t) = -9,8t + 40

-9.8t + 40 = 0

t =  4.082

The object represented by h(t) = -4.9t² + 40t + 20 would take 4.082 seconds to reach it's maximum height.

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A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, None of the given options clearly demonstrate that the four points are the vertices of a parallelogram.

A parallelogram is a quadrilateral with opposite sides that are parallel. In order to determine if the given points form a parallelogram, we need to examine the relationships between the sides and diagonals.

Option A, which states that DA = AB = BC = CD, does not provide enough information about the relationship between opposite sides or diagonals. Similarly, Option B, which states that AB = CD = and DA = BC =, does not provide sufficient information.

Option C, which states that DB = and AC =, also does not provide enough information to establish the parallelism of opposite sides.

Option D, which is not provided, cannot be evaluated as it is missing the necessary information.

In conclusion, none of the given options demonstrate the properties required to establish that the four points are the vertices of a parallelogram. Additional information, such as the slopes or lengths of the sides, is needed to determine if the given points form a parallelogram.

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The area of the triangle is 19.5 square units.

To find the area of the triangle, we can use the formula:

Area = (1/2) * base * height

where the base and height are the distance between two of the vertices of the triangle. We can choose any two vertices to use as the base and height, as long as we use the same units for both. Let's choose (-3,2) and (6,-2) as our base.

The distance between (-3,2) and (6,-2) can be found using the distance formula:

d = \(\sqrt((6 - (-3))^2 + (-2 - 2)^2)\)
d = \(\sqrt(81 + 16)\)
d = \(\sqrt(97)\)

Now we need to find the height of the triangle. The height is the perpendicular distance from the third vertex (3,5) to the line containing the base (-3,2) and (6,-2). We can use the formula:

height = \(|Ax + By + C| / \sqrt(A^2 + B^2)\)

where A, B, and C are the coefficients of the line in the standard form Ax + By + C = 0, and x and y are the coordinates of the third vertex. We can find the coefficients of the line by using the two points (-3,2) and (6,-2):

A = 2 - (-2) = 4
B = (-3) - 6 = -9
C = 6*(-2) - (-3)*2 = -18

Now we can plug in the values to find the height:

height = \(|4*3 - 9*5 - 18| / \sqrt(4^2 + (-9)^2)\)
height = \(39 / \sqrt(97)\)

Finally, we can plug in the base and height to find the area:

Area = \((1/2) * \sqrt(97) * (39 / \sqrt(97))\)
Area = 19.5

Therefore, the area of the triangle is 19.5 square units.

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Answer:

two-column proof

Step-by-step explanation:

i just did the quiz on ed .. i hope it helps :)

Answer:

A. Two column proof

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

Put first equation into second

18x+3*(-6x+7) =21

open up the bracket

18x -18x+21=21

21 = 21

so infinite many solutions

The given angles are complementary and the value of x is 15°

As per the shown figure, the given angles have a common side and vertex.

Here, the pairing of angles sums up to 90° then they are called complementary angles.

As we know that complementary angles are defined as when the sum of two angles adds up to 90°.

As per the given figure,

∠2x° + ∠(3x+15)° = 90°

2x + 3x + 15 = 90

5x = 90 - 15

5x = 75

x = 75/5

x = 15°

Thus, the given angles are complementary and the value of x is 15°.

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\(\\ \rm\hookrightarrow \dfrac{BC}{AB}=\dfrac{CE}{ET}\)

\(\\ \rm\hookrightarrow \dfrac{4}{7}=\dfrac{8}{x}\)

\(\\ \rm\hookrightarrow 4x=56\)

\(\\ \rm\hookrightarrow ET=x=14\)

The statement "The average height of an adult male is 5 feet 10 inches" is an example of a statistical claim. A statistical claim is a statement that involves describing or summarizing a group of individuals or objects in terms of a characteristic or attribute.

In this case, the average height of adult males is being described as 5 feet 10 inches. The term "average" implies that this measurement is based on a statistical calculation, such as the mean. The statement is presenting a generalization about the height of adult males, indicating that this measurement is the typical or common height.

However, it is important to note that individual heights may vary above or below this average. Statistical claims are often used to provide an overview or summary of data and can be found in various fields, including demographics, health, and social science.

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Answer:

30 grams

Step-by-step explanation:

50-42=8

8÷2=4

4=1 year

5×4=20

50-20=30

Hope u can understant

Answer:

Suppose A and B , both has initial volume, say x

120 ML is poured from B to A, then new volumes of A and B will be:

new volume of A (x-120)

new volume of B  (x+120)

Volume of B is now four times volume of A, then

(x+120)= 4(x-120)

(x+120)=4x-180

3x=600

x=200

So, the initial volume of A and B containers is 200

So, at the end, volume of container A = 200-120=80

Hence the answer is 80   :

Step-by-step explanation:

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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The simplification of difference of the given two rational expressions \(\frac{x-1}{x+5}-\frac{x+3}{x^{2} +6x+5}\)  is equal to \(\frac{x^{2}- x-4}{(x+5)(x+1)}\). Restriction on the variables is given by x≠ -5,  x≠ -1.

As given in the question,

Given expression is \(\frac{x-1}{x+5}-\frac{x+3}{x^{2} +6x+5}\)

Simplify the given two rational expressions by factorizing them,

\(\frac{x-1}{x+5}-\frac{x+3}{x^{2} +6x+5}\\\\= \frac{x-1}{x+5}-\frac{x+3}{x^{2} +5x +x+5}\\\\= \frac{x-1}{x+5}-\frac{x+3}{(x+5)(x+1)}\\\\= \frac{x^{2} -1-(x+3)}{(x+5)(x+1)}\\\\= \frac{x^{2}- x-4}{(x+5)(x+1)}\)

Restriction on the variables is given by  x≠ -5,  x≠ -1.

Therefore, the  simplification of difference of the given two rational expressions \(\frac{x-1}{x+5}-\frac{x+3}{x^{2} +6x+5}\)  is equal to \(\frac{x^{2}- x-4}{(x+5)(x+1)}\). Restriction on the variables is given by x≠ -5,  x≠ -1.

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Answer:

$511.7

Step-by-step explanation:

Given data

Cost of stereo system= $480.50

Tax= 6 1/2% = 6.5%

Let us find the amount of the tax

=6.5/100*480.5

=0.065*480.5

=$31.2

Hence the amount of the tax = $31.2

Therefore the total cost is

=31.2+480.50

=$511.7

The probability of exactly one successes in five trials  is 0.20

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

The probability is calculated as

P(x) = nCx * p^x * (1 - p)^(n -x)

Where

n = 5

p = 5%

x = 1

Substitute the known values in the above equation, so, we have the following representation

P(1) = 5C1 * (5%)^1 * (1 - 5%)^(5 -1)

Evaluate

P(1) = 0.20

HEnce, the probability value is 0.20

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Answer: 4.25 meters of rope

Step-by-step explanation:

Because Donna is losing 7.75 meters of rope from her original 12 meters, this problem can simply be represented as 12 - 7.75, which equals 4.25.

Hope it helps :) and let me know if you want me to elaborate.

Answer: 8 X 1/2 = 4, thus you would find the number line jumping from every 1/2 finally to 4.

Answer: 60%

Step-by-step explanation:

(5 × p) / 100 = 3

((5 × p) / 100) × 100 = 3 × 100

5p = 300

5p / 5 = 300 / 5

p = 60

Percent Increase = 60

Answer:

A. Inside the circle

Step-by-step explanation:

K(0, 0), U (6, - 4), V (\( \sqrt 2,\: 7)\)

In order to determine whether point V lie inside, outside or on the circle, first we will find the distances between points K & U and then K & V.

KU would be radius of the circle.

\(d(KU) = \sqrt{ {(6 - 0)}^{2} + {( - 4 - 0)}^{2} } \\ = \sqrt{ {6}^{2} + {( - 4)}^{2} } \\ = \sqrt{36 + 16} \\ \red{ \bold{ d(KU)= \sqrt{52} }} \\ \\ d(KV) = \sqrt{ {( \sqrt{2} - 0)}^{2} + {( 7 - 0)}^{2} } \\ = \sqrt{ {( \sqrt{2)} }^{2} + {(7)}^{2} } \\ = \sqrt{2 + 49} \\ \purple{ \bold{ d(KV)= \sqrt{51} }} \\ \\ \because \: d(KU) > d(KV) \\ \)

Hence point V lie inside of the circle.

The statement is true that 95% of all possible sample means will fall above 76.71.

We know that the sample mean can be calculated using the formula;

\($\bar{X}=\frac{\sum X}{n}$\).

Given that the mean is 80 and the variance is 400 for the population and the sample size is 100. The standard deviation of the population is given by the formula;

σ = √400

= 20.

The standard error of the mean can be calculated using the formula;

SE = σ/√n

= 20/10

= 2

Substituting the values in the formula to get the sampling distribution of the mean;

\($Z=\frac{\bar{X}-\mu}{SE}$\)

where \($\bar{X}$\) is the sample mean, μ is the population mean, and SE is the standard error of the mean.

The sampling distribution of the mean will have the mean equal to the population mean and standard deviation equal to the standard error of the mean.

Therefore,

\(Z=\frac{76.71-80}{2}\\=-1.645$.\)

The probability of the Z-value being less than -1.645 is 0.05. Since the Z-value is less than 0.05, we can conclude that 95% of all possible sample means will fall above 76.71.

Conclusion: Therefore, the statement is true that 95% of all possible sample means will fall above 76.71.

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the greatest common factor of 32 and 90 is 2

The steps are;

Let us assume the quadratic equation x² - 2x + 1 = 0

To solve this by factoring;

Step 1: We will first look for two numbers such that if added will give the coefficient of x and if multiplied will give the product of the constant andthe coefficient of x²

For the given equation, the two values are -1 and -1

The quadratic equation becomes;

x² - 1x - 1x + 1 = 0

x² - x - x + 1 = 0

(x²-x)-1(x-1) = 0

Step  2: Factorize the common value from both brackets

x(x-1)-1(x-1) = 0

x-1 = 0 and x - 1 = 0

x = 1twice

The given steps are the ways you can solve quadratic equations in one variable using factoring method

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