Solve.
|7x -5| = |8x -4

1. the image of (2,-3) after a 270 degree counterclockwise rotation about the origin is (-2,-3)

2.the ordered pair that represents the translation woul be (x-7,y-1)

SOLUTION:

Case: Lateral area of the cylinder

Method:

This is given as:

The Lateral area

The radius,

r=4/2

r= 2m

the height,

h= 12m.

The Lateral area:

Final answer:

151 m

Answer:\(\frac{15}{8}\) or \(2 \frac{7}{8}\)

Step-by-step explanation:

Adding,

\(\frac{1}{2}+\frac{3}{4}+\frac{5}{8} =\frac{4+6+5}{8} =\frac{15}{8}\)\(=2\frac{7}{8}\)

Using the z-distribution, it is found that:

The confidence interval is:

\(\overline{x} \pm zs\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The estimate and the standard error are given by:

\(\overline{x} = 0, s = 0.69\)

Hence the bounds of the interval are given by:

\(\overline{x} - zs = 0 - 1.96(0.69) = -1.38\)

\(\overline{x} + zs = 0 + 1.96(0.69) = 1.38\)

1.74 is outside the interval, hence:

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Answer:

its multiply by 2

Step-by-step explanation:

the reason for this is because 5 x 2=10

10 x 2 =20

15 x 3 = 30

may i have brainliest

Answer:

-2

Step-by-step explanation:

Look at the bottom right point. To get to the point above it only moving vertical and horizontally, you would move 2 units up (or vertically) and one unit left (or horizontally).

The slope is negative.  Imagine a person starting on the very left side of the line and he starts walking.   As he walks on the line, he is going down hill.  That tells us that the slope is negative.

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

The mean of x is 1.8 and standard deviation of X is 0.98 using calculations for mean and standard deviation by given values or data.

What is mean and standard deviation?

The standard deviation is a summary measure of the differences of each  observation from the mean.

In the given que:

X         1     2     3     4

P(X)     .5   .3     .1      .1

For mean :

Mean = 1(.5) + 2(.3) + 3(.1) + 4(.1)

          = 1.8

For standard deviation :

Standard deviation = √.5(1-1.8)² + .3(2-1.8)² + .1(3-1.8)² + .1(4-1.8)²

                                = .98

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Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{8(\dfrac{1}{2}\div2)- (\dfrac{1}{4} + 4)}}\\\\\\\huge\boxed{\mathsf{= 8(\dfrac{1}{4}) - (\dfrac{1}{4}+ 4)}}\\\\\\\huge\boxed{\mathsf{= 2 - (\dfrac{1}{4}+4)}}\\\\\\\huge\boxed{\mathsf{= 2 - \dfrac{17}{4}}}\\\\\\\huge\boxed{= \mathsf{ - \dfrac{9}{4}}}\\\\\\\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{- \dfrac{9}{4}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\huge\boxed{\star \ \frak{Amphitrite1040:)}\ \heartsuit }\)

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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Answer:

-10

Step-by-step explanation:

p/2=-5

p=-10

Answer:

-10

Step-by-step explanation:

3/4p-1/4p+3=-2

1/2p+3=-2

1/2p=-5

-10

9514 1404 393

Answer:

  6.9

Step-by-step explanation:

The relevant relation is ...

  Sin = Opposite/Hypotenuse

Substituting given values, we have ...

  sin(35°) = x/12

  x = 12·sin(35°) ≈ 6.883

The value of x is about 6.9.

Answer:

i think its approximately 5 gallons because if you do 4 gallons it would be 15.14 liters and if u do 5 gallons it would be 18.925 liters its the one that is a little more close i think

Answer:

5 liters

Step-by-step explanation:

The probability that if three shareholders are selected at random Exactly two will give the same answer is 0.408237.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

A.) The probability of a shareholder answering too high is 0.82. Therefore, the probability that if three shareholders are selected at random they will all answer ‘too high’ is,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

P(x=3) = ³C₃ (0.82)³ (1-0.82)⁰

P(x=3) = 0.551368

Hence, the probability that if three shareholders are selected at random they will all answer ‘too high’ is 0.5514.

B.) The probability of a shareholder answering too high is 0.82. Therefore, the probability that if three shareholders are selected at random Exactly two will answer ‘too high’ is,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

P(x=2) = ³C₂ (0.82)² (1-0.82)¹

P(x=2) = 0.363096

Hence, the probability that if three shareholders are selected at random Exactly two will answer ‘too high’ is 0.363096.

C.) The probability of a shareholder answering too high is 0.82. Therefore, the probability that if three shareholders are selected at random Exactly two will give the same answer is,

P = ³C₂ (0.82)² (1-0.82)¹ + ³C₂ (0.12)² (1-0.12)¹ + ³C₂ (0.05)² (1-0.05)¹

P = 0.363096 + 0.038016 + 0.007125

P = 0.408237

Hence, the probability that if three shareholders are selected at random Exactly two will give the same answer is 0.408237.

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The coordinates of point B are (12, 36). we need to examine the lengths of its sides and the angles between the sides.

To determine the coordinates of point B, we need to find the intersection of the line BD (given by the equation 3x - y = 0) and the line passing through points A and D.

We can find the equation of the line passing through points A and D using the slope-intercept form: y - y1 = m(x - x1), where m is the gradient and (x1, y1) is a point on the line. Given that point A is (-8, 6) and D is (3, 9), we can calculate the slope as:

m = (y2 - y1) / (x2 - x1)

 = (9 - 6) / (3 - (-8))

 = 3 / 11

Now, using the point-slope form with point A:

y - 6 = (3/11)(x + 8)

Simplifying the equation:

y = (3/11)x + 30/11 - 66/11

y = (3/11)x - 36/11

To find the coordinates of point B, we need to solve the system of equations formed by the lines BD and the line passing through A and D. Substituting the equation of line BD into the equation of the line passing through A and D:

3x - y = (3/11)x - 36/11

Multiplying both sides by 11 to eliminate fractions:

33x - 11y = 3x - 36

Simplifying the equation:

30x - 11y = -36

To find the intersection point (x, y), we can solve this equation along with the equation of line BD:

3x - y = 0

Solving the system of equations:

30x - 11y = -36

3x - y = 0

Multiplying the second equation by 11 to eliminate the y term:

33x - 11y = 0

Subtracting the second equation from the first:

30x - 33x = -36

-3x = -36

x = 12

Substituting the value of x back into the equation of line BD:

3(12) - y = 0

36 - y = 0

y = 36

Therefore, the coordinates of point B are (12, 36).

To determine whether ABCD is a square or not, we need to examine the lengths of its sides and the angles between the sides. Since we only have the coordinates of points A, B, and D, we cannot directly determine the lengths of all four sides or the angles. Therefore, additional information is required to determine if ABCD is a square.

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Answer:

0.018

Step-by-step explanation:

The Equation of bisector 5x-7y+3=0 which is a straight line.

A straight line that divides an angle of a triangle in equal value.

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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Answer:

answer is 26

Step-by-step explanation:

1%= 0.42

0.42 x 38 = 15.96

round to 16

42-16=26

Answer: 62% of the class was absent on that day.

Step-by-step explanation: 100% - 38% = 62%

Answer:

The return on stockholders' equity is 11.3% and the return on common stockholders' equity is 20.1%.

Step-by-step explanation:

To calculate the return on stockholders' equity and the return on common stockholders' equity, we can use the following formulas:

Return on Stockholders' Equity = Net Income / Average Stockholders' Equity

Return on Common Stockholders' Equity = Net Income - Preferred Dividends / Average Common Stockholders' Equity

Using the given values, we can calculate:

a. Return on Stockholders' Equity:

Return on Stockholders' Equity = $135,000 / $1,194,690

Return on Stockholders' Equity = 0.113 or 11.3%

b. Return on Common Stockholders' Equity:

Return on Common Stockholders' Equity = ($135,000 - $5,400) / $644,776

Return on Common Stockholders' Equity = $129,600 / $644,776

Return on Common Stockholders' Equity = 0.201 or 20.1%

Therefore, the return on stockholders' equity is 11.3% and the return on common stockholders' equity is 20.1%.

Answer: There is none.

Step-by-step explanation:

Fractions and decimals can't be integers.

Answer:

Amadi: 20 years old

Chima : 4 years old

y = 1/2x + 1 is the line's equation in slope-intercept form.

The equation of a line in slope intercept form is expressed as y = mx + b where:

m is the slope

b is the y-intercept

Given the following coordinate points (4, 3) and (0, 1), the slope is calculated as:

Slope = 1-3/0-4
Slope = -2/-4
Slope = 1/2

For the y-intercept, it is the point where the x-coordinate is zero, hence the y-intercept if (0, 1)

Determine the required equation
y = mx + b

y = 1/2x + 1

Hence the equation of the line in slope-intercept form is y = 1/2x +1

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Answer:

Explained below.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

The formula to compute correlation coefficient is:

\(r(X,Y)=\frac{Cov(X,Y)}{\sqrt{V(X)\cdot V (Y)}}\)

           \(=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{[n\cdot\sum X^{2}-(\sum X)^{2}][n\cdot\sum Y^{2}-(\sum Y)^{2}]}}\)

Positive correlation is an association amid two variables in which both variables change in the same direction.  

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

Answer:

x = -2

Step-by-step explanation:

6x+12 = -x-2

7x+12 = -2(bring x to the left)

7x = -14(bring constants to the right)

x = -2

Answer:

Angle 2

Step-by-step explanation:

Find S and find X.

Then find U.

The angle at X connected to S and U is the angle number.