Find all points on the x-axis that are 6 units from the point (4,-3).

Answer:

\(volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3} \)

Step-by-step explanation:

\( \frac{10}{100} \times 125 = 12.5 \\ 125 - 12.5 = 112.5\)

112.5 £

Answer:domain is (2, ∞), range is (-∞,∞)

Step-by-step explanation:

domain is (2, ∞) as it aproaches 2 but never reaches and range is (-∞,∞)

Answer:

A

Step-by-step explanation:

3x + 4 = x - 6 ( subtract x from both sides )

2x + 4 = - 6 ( subtract 4 from both sides )

2x = - 10 ( divide both sides by 2 )

x = - 5

Answer:x 1= x. Examples: 41=4. 5)

Step-by-step explanation:

Answer:

0.12 ± 1.96 * √(0.12(0.88) / 100)

Step-by-step explanation:

Confidence interval :

Phat ± Zcritical * √(phat(1 -phat) / n)

Phat = 12/100 = 0.12

1 - phat = 0.88

Zcritical at 95% = 1.96

Hence, we have :

0.12 ± 1.96 * √(0.12(0.88) / 100)

0.12 ± 1.96 * 0.0324961

0.12 ± 0.0636924

Lower boundary = (0.12 - 0.0636924) = 0.0563

Upper boundary = 0.12 + 0.0636924 = 0.1837

The calculations for 95% confidence interval for this case is given as: \(CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}\)

For large enough sample( size > 30), let the population proportion of a quantity be denoted by random variable \(p\)

Then, we get:

\(p \sim N(\hat{p}, \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}})\)

where

\(\hat{p}\) = estimated(mean value) proportion of that quantity

and n = size of sample drawn.

It is visible that as we increase the value of n, the standard deviation decreases, therefore, forcing the values of population proportion to be closer to the estimated proportion.

Margin of error is the distance between the mean and one of the end point of the confidence interval(assuming its equal on  both the sides of the mean). The margin of error with level of significance \(\alpha\) is calculated as:

\(MOE = Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\)

where \(Z_{\alpha/2}\) is the critical value of the test statistic for level of significance \(\alpha\)

The confidence interval is then calculated as:

\(CI = \hat{p} \pm MOE\)

For the considered case,

the confidence interval is to be found for 95% confidence, therefore,

level of significance = 100% - 95%  = 5% = 0.05

The estimated proportion of defective chips estimated from sample is:

Thus, we get the confidence interval for this case as:

\(CI = \hat{p} \pm Z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}\)

Thus, the calculations for 95% confidence interval for this case is given as: \(CI = 0.12 \pm 1.96 \times \sqrt{\dfrac{0.12(1 - 0.12)}{100}}\)

Learn more about confidence interval for sample proportion here:

https://brainly.com/question/16427118

Answer:

whats the question ????

Step-by-step explanation:

Answer:

Using the normal distribution and the central limit theorem, it is found that the probabilities are given as follows:

24. Single person has an IQ score above 105: 0.3694.

25. Sample mean (55 people) above 105: 0.0067.

The z-score of a measure X of a variable that has mean \(\mu\) and standard deviation \(\sigma\) is given by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation of IQ scores are given as follows:

\(\mu = 100, \sigma = 15\)

The probability that a single person has an IQ score higher than 105 is one subtracted by the p-value of Z when X = 105, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (105 - 100)/15

Z = 0.33

Z = 0.33 has a p-value of 0.6306

1 - 0.6303 = 0.3694.

For the sample of 55, the standard error is:

\(s = \frac{15}{\sqrt{55}} = 2.02\)

Hence:

\(Z = \frac{X - \mu}{s}\)

Z = (105 - 100)/2.02

Z = 2.48

Z = 2.48 has a p-value of 0.9933.

1 - 0.9933 = 0.0067.

Learn more about the normal distribution and the central limit theorem at https://brainly.com/question/28949747

#SPJ1

answer:

2x²+2x-12

explanation:

(x + 3) (2x – 4)                           [ open the bracket ]

x(2x) -4(x) +3(2x)+ 3(-4)             [ multiplication ]

2x²-4x+6x-12                             [ simplify ]

2x²+2x-12                                  [ final answer ]

Answer:

We want to multiply two polynomials of degree 1, and get in that way a polynomial of degree 2.

We will get the polynomial: p(x) = 2 * x² + 2 * x - 12

Step-by-step explanation:

We just want to multiply (x + 3) and (2*x - 4).

So we start by writing:

(x+3) * (2*x-4)

Now we just expand this:

(x+3) * (2*x-4) = 2 *  x² + x * (-4) + 3 * (2 * x) + 3 * (-4)

Now we need to simplify the above expression:

2 * x² + x * (-4) + 3 * (2*x) + 3 * (-4) = 2 * x² + (6 - 4) * x - 12 = 2 * x ² + 2 * x - 12

This is the polynomial we wanted to get:

p (x) = 2 * x² + 2 * x - 12

If you want to learn more, you can read:

brainly.com/question/11536910

Answer:

8.1

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

area/1/2xheight

The base is the length.

8.91/1/2x2.2

=8.1 inches

The statements that are true are B and D.

Given are some statements we need to check which is true.

Let's analyze each statement:

A. 4 is a perfect cube.

False. 4 is not a perfect cube because there is no integer that can be cubed to give 4.

B. 16 is a perfect square.

True. 16 is a perfect square because it can be expressed as 4^2, where 4 is an integer.

C. 2,197 is both a perfect square and a perfect cube.

False. 2,197 is not a perfect square because there is no integer that can be squared to give 2,197.

However, it is a perfect cube because 13³ equals 2,197.

D. 8 is a perfect cube.

True. 8 is a perfect cube because it can be expressed as 2³, where 2 is an integer.

E. 18 is neither a perfect square nor a perfect cube.

True. 18 is neither a perfect square nor a perfect cube because there is no integer that can be squared or cubed to give 18.

Therefore, the statements that are true are B and D.

Learn more about perfect cube and perfect square click;

https://brainly.com/question/13326108

#SPJ1

Answer:

Respuesta. Respuesta: El Teorema de Pitágoras sirve para resolver una multitud de problemas; por ejemplo de, cálculo de distancias en el plano, en los mapas, en la realidad. ... En general, el Teorema de Pitágoras se puede utilizar para hallar longitudes en donde intervienen triángulos rectángulos.

Answer:

4√3/3

Step-by-step explanation:

Find the diagram attached below

Considering angle 60°

Opposite side = 2

Hypotenuse = x

Using the SOH CAH TOA identity

sin theta  = opposite/hypotenuse

sin 60 = 2/x

x = 2/sin60

x = 2/(√3/2)

x = 2 * 2/√3

x = 4/√3

Rationalize

x = 4/√3 * √3/√3

x = 4√3/3

Hence the value of x in its simplest form is x = 4√3/3

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

To learn more about probability, visit:

https://brainly.com/question/24756209

#SPJ1

Answer:

Angle JKN and Angle JKI are supplementary angles.

Step-by-step explanation:

When these two angles are added together, they will equal to 180 degrees.

Answer:

left bottom option

Step-by-step explanation:

when the value of their angles are added they sum up to be 180

None of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

To find the slope of the red line given that it is perpendicular to the green line with a slope of 2, we can use the property that perpendicular lines have slopes that are negative reciprocals of each other.

The slope of the green line is 2. To find the slope of the red line, we take the negative reciprocal of 2. The negative reciprocal is obtained by taking the reciprocal (flipping the fraction) and changing the sign.

Reciprocal of 2: 1/2

Negative reciprocal: -1/2

Therefore, the slope of the red line is -1/2.

However, none of the given answer options (-10, 10, 16, ¾/1) correspond to the correct slope of -1/2.

for such more question on perpendicular

https://brainly.com/question/18991632

#SPJ8

Answer:

k = 5.6

Step-by-step explanation:

\(\frac{10}{7} = \frac{8}{k}\)

Cross-multiplication is applied:

(10)(k) = (8)(7)

   10k = 56

k needs to be isolated and made the subject of the formula:

k = \(\frac{56}{10}\)

k = 5.6

Answer:

Answer below :)

Step-by-step explanation:

128 = $76.20132= $77.80134= $78.60144= $82.60

Answer: 128 = $76.20132= $77.80134= $78.60144= $82.60

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

To find the measure of the geometry-big circle, we need to sum up the measures of all the arcs around the circle.

We are given the following measures:

\(\sf\:m\angle AB = 56 \\\)

\(\sf\:m\angle BC = 59 \\\)

\(\sf\:m\angle CD = 63 \\\)

\(\sf\:m\angle DE = 63 \\\)

\(\sf\:m\angle EF = 31 \\\)

To find the measure of the geometry-big circle, we add up these measures:

\(\sf\:m\angle AB + m\angle BC + m\angle CD + m\angle DE + m\angle EF \\\)

Substituting the given values:

\(\sf\:56 + 59 + 63 + 63 + 31 \\\)

Simplifying the expression:

\(\sf\:272 \\\)

Therefore, the measure of the geometry-big circle is 272.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

f(x) = 2(3) + 4 (option B)

function: f(x) = 2x + 4

f(3) = ?

To get the value of f(3), we would replace x with 3 in the function

Replacing x;

f(x) = 2(3) + 4

Going through the options, the correct one is option B

The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Which is the required equation of a line in a point-slope form.

we know that            

The equation of the line into point-slope form is equal to                        

y-y₁ = m(x-x₁)

we have          

(x₁, y₁) = (4, 1/3)

m = 3/4

substitute the given values                

y-y₁ = m(x-x₁)

y - 1/3 = 3/4 ( x - 4)

therefore,

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

Thus, option A is correct.

Learn more about slope;

https://brainly.com/question/13458632

#SPJ1

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

The measure of each exterior angles of rectangle is 90°

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

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

Read more about polygons at

https://brainly.com/question/8409681

#SPJ1

Complete question

Find the measure of each exterior angles of rectangle?

Step by step​

Answer:

1 1/3

Step-by-step explanation:

Answer:

1. 72 \(\frac{5}{11}\)

3. 79 \(\frac{5}{6}\)

Step-by-step explanation:

The mean is found by dividing the sum of the inputs by the total number of inputs.

Answer:

enjoy your day hope the answer comes to you

Step-by-step explanation:

The value of the angles are;

13. X = 19. 47 degrees

14. X = 47. 93 degrees

15. X= 55. 15 degrees

Using the different trigonometric identities and their ratios, we have;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

From the image shown, we have;

13.  sin X = 6/18

Divide the values, we have

sin X = 0. 3333

Find the sine inverse

X = 19. 47 degrees

14. tan X = 41/37

divide the values

tan X = 1. 10

Find the inverse

X = 47. 93 degrees

15. cos X = 8/14

cos X = 0. 5714

find the inverse

X= 55. 15 degrees

Learn about trigonometric ratios at: https://brainly.com/question/24349828

#SPJ1