show a graph that represents -24 y = 3x + 24​

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

Answer:

Step-by-step explanation:

Step 1. The point estimate is the difference between the the mean amount of mail-order purchases and the mean amount of internet purchases. It becomes

74.9 - 87.3 = - 12.4

Step 2. The formula for determining margin of error is expressed aa

Margin of error = z√(s1²/n1 + s2²/n2)

Where

z = z score

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

n1 = number of samples in group 1

n2 = number of samples in group 2

For a 95% confidence interval, the z score is 1.96

From the information given,

s1 = 21.75

n1 = 18

s2 = 19.75

n2 = 9

z√(s1²/n1 + s2²/n2) = 1.96√(21.75²/18 + 19.75²/9) = 1.96 × 8.343

= 16.35

Step 3. Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

95% Confidence interval = - 12.4 ± 16.35

Volume of the cylinder is 15197.60(to the nearest hundredth).

In mathematics, Cylinder is  the basic 3d shapes,  which has two parallel circular bases at a distance. The two circular bases are joined by a curved surface, at a fixed distance from the center which is called height of the cylinder.

Given that the radius of the cylinder  is 11yd.

and the height of the cylinder is 40yd.

Formula for the volume of cylinder  is π × r² × h where π=3.14, r= radius and h= height.

Putting the values we get,

Volume of the cylinder is = 3.14 × (11)² × 40 cubic yd.

                                          = 15197.6

Hence, Volume of the cylinder is 15197.60(to the nearest hundredth).

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Answer: 396 inches

Step-by-step explanation:

Let's remember that for every yard there are 36 inches

there are 11 yards total

so we need to multiply 36 by 11

36x11

396 inches

Answer:

396 inches

Step-by-step explanation:

You multiply the number of inches for every yard (36) by the total number of yards

11*36=396

Answer:

No.

Step-by-step explanation:

7=8-(-3)

7=8+3

7≠11

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

For a graph to be a function, the following condition must be met:

• There must only bye one value of y for a given value of x.

In this case For the representation we have, we can see that for all of the values of x we get two values for y:

Which does not meet the condition indicated to be a function.

We can also make the vertical test, which is to draw a vertical line, and of it touches the graph more than 1 time, the representation is not a function:

It does not passes the vertical line test

So the answer is:

-Not a function

-The graph does not pass the vertical line test

First, consider than angle ROS can be calculted by using:

to find the measure of angle QOR use:

replace the given values for POR and POQ:

next, use the previous result and the given value of angle QOS:

Hence, the measure of angle ROS is 13

hi I am sorry I don't know.

Answer:

y = -8

Step-by-step explanation:

2(y-2)- 6y-28 = 0

2y - 4 -6y - 28 = 0

-4y = 32

y = -8

The number of ways to choose the starting 11 players with all seniors playing is 4845.

We have,

Since the coach wants all seniors to play, we must choose the remaining

(11 - 7 = 4) players from the remaining (6 + 6 + 8 = 20) players who are not seniors.

The number of ways to choose 4 players from 20 players is given by the combination formula:

\(^{20}C_4\)

= 20! / (4! * 16!)

= 4845

Therefore,

The number of ways to choose the starting 11 players with all seniors playing is 4845.

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The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Consider the next polynomial function,

Notice that f(x) has one real zero and two complex zeros.

However, the expanded form of f(x) is

Therefore, f(x) is a polynomial of degree 3 with real coefficients that has exactly 1 real zero and 2 complex zeros.

This is a counterexample of the statement. The answer is False.

The number of bacteria after 1.5 hours is 320,000.

Given,

The doubling period of a bacteria culture is 15 minutes.

Initially, the culture has 5000 bacteria.

We need to determine the number of bacteria there will be after 1.5 hours.

We have,

The number of bacteria gets double every 15 minutes.

Number of bacteria at initial stage = 5000

In 1.5 hours we have 90 minutes.

1.5 hours = 1 hour and 30 minutes

1 hour = 60 minutes

1.5 hours = 90 minutes.

In 90 minutes we have 6 times 15 minutes.

First 15 minutes,

The number of bacteria would be = 2 x 5000 = 10,000

Now next 15 minutes,

10,000 x 2 = 20,000

Next 15 minutes,

20,000 x 2 = 40,000

Next 15 minutes,

40,000 x 2 = 80,000

Next 15 minutes,

80,000 x 2 = 160,000

Next 15 minutes,

160,000 x 2 = 320,000

We can also write it as 5000 x 2^6 = 320,000

Thus the number of bacteria after 1.5 hours is 320,000.

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The sοlutiοn οf the system οf equatiοn is x = 0 and y = 7/3.

If there is nο sοlutiοn tο a system οf equatiοns, it is incοnsistent system; οtherwise, there must be at least οne sοlutiοn. If a set οf equatiοns has infinitely many sοlutiοns, it is dependent.

Every οne οf the equatiοns in a system οf equatiοns must have a sοlutiοn in οrder fοr the system tο be cοnsistent. This demοnstrates that a set οf values fοr the variables may simultaneοusly satisfy all οf the system's equatiοns and shοw that they are nοt mutually exclusive.

There is nο sοlutiοn tο an equatiοn system that satisfies all οf the equatiοns in the system. This indicates that nο cοmbinatiοn οf values fοr the variables can cοncurrently satisfy all οf the system's equatiοns since they are incοmpatible.

The given equatiοns are:

y = 2/3x + 7/3

-4x+6y=14

Substituting the value of y in the second equation:

-4x + 6y = 14

-4x + 6(2/3x + 7/3) = 14

-2x + 4x + 14 = 14

2x = 0

x = 0

Substitute the value of x = 0 we have:

y = 2/3(0) + 7/3

y = 7/3

Hence, the solution of the system of equation is x = 0 and y = 7/3.

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Complete question:

Given system of equations y = 2/3x + 7/3 and -4x + 6y = 14

Find the value of x and y.

Answer:

a. \(\mathbf{P(\overline x < 68) = 0.9998}\)

b. \(\mathbf{P(68 < \overline x < 69 ) =0}\)

c. \(\mathbf{P ( \overline x > 66 ) =0.02275}\)

Step-by-step explanation:

Given that ;

Let Y be a random variable In a​ population, where:

mean \(\mu_y\) = 65

\(\sigma^2_y\) = 49

standard deviation σ  = \(\sqrt{49}\) = 7

The objective is to determine the following :

In a random sample of size n​ = 69​, find Pr(Y <68) =

Using the Central limit theorem

\(P(\overline x < 68) = \begin {pmatrix} \dfrac{\overline x - \mu }{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{68 - \mu }{\dfrac{\sigma}{\sqrt{n}}} } \end {pmatrix}\)

\(P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{68 - 65 }{\dfrac{7}{\sqrt{69}}} } \end {pmatrix}\)

\(P(\overline x < 68) = \begin {pmatrix}Z < \dfrac{3 }{\dfrac{7}{8.3066}} } \end {pmatrix}\)

\(P(\overline x < 68) = (Z < 3.5599 )\)

From the z tables:

\(\mathbf{P(\overline x < 68) = 0.9998}\)

In a random sample of size n​ = 124​, find Pr (68< Y <69)=

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}} < \dfrac{ 69 - \mu}{\dfrac{\sigma}{\sqrt{n}}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{68- 65}{\dfrac{7}{\sqrt{124}}} < Z < \dfrac{ 69 - 65}{\dfrac{7}{\sqrt{124}}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} \dfrac{3}{\dfrac{7}{11.1355}} < Z < \dfrac{ 4}{\dfrac{7}{11.1355}} \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P \begin {pmatrix} 4.7724 < Z < 6.3631 \end {pmatrix}\)

\(P(68 < \overline x < 69 ) = P( Z < 6.3631 ) - P ( Z < 4.7724 )\)

From z tables

\(P(68 < \overline x < 69 ) = 0.9999 - 0.9999\)

\(\mathbf{P(68 < \overline x < 69 ) =0}\)

In a random sample of size n​ = 196​, find Pr (Y >66)=

\(P ( \overline x > 66 ) = P ( \dfrac{\overline x -\mu }{\dfrac{\sigma}{\sqrt{n}}} > \dfrac{66 -\mu }{\dfrac{\sigma}{\sqrt{n}}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{66 - 65 }{\dfrac{7}{\sqrt{196}}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{1 }{\dfrac{7}{14}})\)

\(P ( \overline x > 66 ) = P ( Z> \dfrac{14 }{7})\)

\(P ( \overline x > 66 ) = P ( Z>2)\)

\(P ( \overline x > 66 ) = 1 - P ( Z<2)\)

from z tables

\(P ( \overline x > 66 ) = 1 - 0.9773\)

\(\mathbf{P ( \overline x > 66 ) =0.02275}\)

The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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A) When Katina has $280 in her bank account, then Malorie will have $300 in her bank account

B) Malorie's account changes at a greater rate than Katina's

It's given that a = 50m + 100 represents the amount of money in Malorie's account. From the table, we can see that in the 4th month, Katina has $280

⇒m = 4

⇒ a = 50 × 4 + 100

⇒ a = 300, where a = amount of money in Malorie's bank

Malorie's account -:

⇒ Amount = 150 in 1st month, 200 in 2nd month

Katina's account -:

⇒ Amount = 220 in 1st month, 240 in 2nd month

So, we can see that Malorie's account changes by $50 while Katina's account changes by $20 per month

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

a. The present value of these receivables is $42,123.64

b. The total value at the end of 10 years is $69,257.02

c. The present value of these payments is $10,059.37

Step-by-step explanation:

The approximate sum of the values to the nearest thousand is 117000

Any number of digits after that number becomes zero and this is known as rounding down. If the digit in the smallest place is greater than or equal to 5, then the digit is added with +1.

Given the expression below;

24,687 +38,403 +53,628 = 116718

Hence the approximate sum of the values to the nearest thousand is 117000

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Answer:

Investment A = 188,000

Investment B = $52,000

Step-by-step explanation:

Given the following :

Total. Amount to invest = $240,000

Investment A:

Principal = a

Rate = 9% = 0.09

Investment B:

Principal = (240,000 - a)

Rate = 4% = 0.04

Principal * rate * time

Principal A * rate A + Principal B* rate B = 19000

a * 0.09 + (240,000 - a) * 0.04 = 19000

0.09a + 9600 - 0.04a= 19000

0.05a = 19000 - 9600

0.05a = 9400

a = 9400 / 0.05

a = 188,000

Investment A = 188,000

Investment B = (240,000 - 188,000) = $52,000

Answer:

5.5

Step-by-step explanation:

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

Haleema would have approximately £3947.46 in her account after 2 years and 11 months, considering the monthly compounding interest of 5%.

To calculate the amount of money in Haleema's account after 2 years and 11 months, we need to consider the monthly compounding interest on the account.

The interest rate is given as 5% per year, which means the monthly interest rate is (5%/12) = 0.4167%.

Let's calculate the final amount using the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years.

In this case, P = £3700, r = 0.004167, n = 12 (monthly compounding), and t = 2.917 (2 years and 11 months).

Plugging these values into the formula, we get:

A = £3700(1 + 0.004167/12)^(12*2.917)

A ≈ £3947.46

The amount of money in Haleema's account after 2 years and 11 months would be approximately £3947.46.

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Answer:

hello your question has some missing parts here is the complete question

A coin is tossed and an eight-sided die numbered 1 through 8 is rolled. Find the probability of tossing tail and then rolling a number greater than 6. The probability of tossing a tail and then rolling a number greater than 6 is? Round to three decimal places as needed

Answer : 0.5,   0.25,  0.125

Step-by-step explanation:

A coin when tossed has only two outcomes which are ( Head or tail )

a)Therefore the probability of tossing a tail = 1/2 = 0.5

A die having eight sides when tossed will have 8 outcomes

B) Therefore the probability of rolling a number greater than 6

p( x > 6) = p(7) + p(8) = 1/8 + 1/8 = 0.25

C) The probability of tossing a tail and then rolling a number greater than 6 is

= p( x > 6 ) * p( tail )

= 0.25 * 0.5 = 0.125

From the above explanation, the option B statement is not correct.

From the given options we need to identify which statement is not correct.

An obtuse angle is any angle greater than 90° and less than 180°.

From option A:

100° angle is an obtuse angle, because which is greater than 90° and less than 180°.

From option B:

175° angle is a reflex angle because it is greater than 180° and less than 360°.

From option C:

Less than 90° lies in I quadrant, more than 90° and less than 180° lies in II quadrant and more than 180° and less than 270° lies in III quadrant.

From option D:

An 85° angle is an acute angle because it is greater than 0° and less than 90°.

From the above explanation, the option B statement is not correct.

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Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4