4x+6 is greater than or equal to 18
find the solution

Answer:

160

Step-by-step explanation:

base x width x height = volume

4x5x8=160 in^3

That's all there is to volume of a box

Hope that helps :)

Answer:

160 yet it's supposa be in Cuboid e.g. 160cm3

Step-by-step explanation:

Volume=L×H×W

= 4×5×8

=160

Answer:

\(a = -2\)

Step-by-step explanation:

Given

The attached function (graph)

Required

Find a

The given function is quadratic and will be solved using:

\(y = ax^2 + bx + c\)

From the attachment:

\((x,y) = (-3,4)\)

\((x,y) = (-2,2)\)

\((x,y) = (-4,2)\)

Substitute these values in \(y = ax^2 + bx + c\)

For: \((x,y) = (-3,4)\)

\(4 = a(-3)^2 + b(-3) + c\)

\(4 = 9a -3b + c\)

For: \((x,y) = (-2,2)\)

\(2 = a(-2)^2 + b(-2) + c\)

\(2 = 4a -2b + c\)

For: \((x,y) = (-4,2)\)

\(2 = a(-4)^2 + b(-4) + c\)

\(2 = 16a -4b + c\)

So, we have:

\(4 = 9a -3b + c\) --- (1)

\(2 = 4a -2b + c\) ---- (2)

\(2 = 16a -4b + c\) --- (3)

Make c the subject in (1)

\(c = 4 - 9a + 3b\)

Substitute \(c = 4 - 9a + 3b\) in (2) and (3)

\(2 = 4a -2b + c\)

\(2 = 4a -2b + 4 - 9a + 3b\)

Collect Like Terms

\(-4 + 2 = 4a - 9a-2b + 3b\)

\(-2 = - 5a+b\) --- (4)

\(2 = 16a -4b + c\)

\(2 = 16a - 4b + 4 - 9a + 3b\)

Collect Like Terms

\(2 -4 = 16a - 9a + 3b- 4b\)

\(-2 = 7a -b\) --- (5)

Add 4 and 5

\(-2 = - 5a+b\)

\(-2 = 7a -b\)

--------------------------

\(-2 - 2 = -5a + 7a +b - b\)

\(-4 = 2a\)

Divide through by 2

\(-2 = a\)

\(a = -2\)

Answer:

FM = 11x - 26.5

Step-by-step explanation:

FM + 10.9 =11x - 15.6

FM = 11x - 15.6 - 10.9

FM = 11x - 26.5

The probability that the first tile is less than 15 and the second tile is even or greater than 25 is 0.448.

The probability is found as follows:

Favorable outcomes:

The first tile is less than 15: There are 14 tiles numbered from 1 to 14 in the first box that satisfy this condition.

The second tile is even or greater than 25: In the second box, there are 10 even tiles and 6 tiles greater than 25.

Total outcomes:

Total number of outcomes = 25 * 20 or 500

Therefore, the probability will be:

Probability = (14 * 16) / 500

Probability = 224 / 500

Probability = 0.448

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Complete question:

Tiles numbered 1 through 25 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. The first tile is randomly drawn from the first box. The second tile is randomly drawn from the second box. Find the probability that the first tile is less than 15 and the other tile is even or greater than 25.

a) The probability that the driver is incorrectly classified as being over the limit is 0.06.

b) The probability that the driver is correctly classified as being over the limit is 0.90.

c) The probability that the driver gives a breathalyser test reading that is over the limit is 0.222.

d) The probability that the driver is under the legal limit, given that the breathalyser reading is below the limit, is 0.944.

Part a) To calculate the probability that the driver is incorrectly classified as being over the limit, we need to consider the probability of a false positive. This occurs when a driver who has not consumed an excess of alcohol is classified as being over the limit.

Given that 6% of drivers who have not consumed an excess of alcohol give a reading above the legal limit, the probability of a false positive is 0.06.

Therefore, the probability that the driver is incorrectly classified as being over the limit is 0.06.

Part b) The probability that the driver is correctly classified as being over the limit is the complement of the probability of a false negative. A false negative occurs when a driver who is above the legal limit gives a reading below that level.

Given that 10% of drivers who are above the legal limit give a reading below the limit, the probability of a false negative is 0.10.

Therefore, the probability that the driver is correctly classified as being over the limit is 1 - 0.10 = 0.90.

Part c) To find the probability that the driver gives a breathalyser test reading that is over the limit, we need to consider both the drivers who are above the legal limit and incorrectly classified as being over the limit (false positive) and the drivers who are above the legal limit and correctly classified as being over the limit.

The probability of a breathalyser test reading that is over the limit is the sum of these two probabilities: the probability of a false positive (0.06) and the probability of correctly classifying a driver who is above the limit (0.17 * 0.90).

Therefore, the probability that the driver gives a breathalyser test reading that is over the limit is 0.06 + (0.17 * 0.90) = 0.222.

Part d) To find the probability that the driver is under the legal limit, given that the breathalyser reading is also below the limit, we need to consider the drivers who are below the legal limit and correctly classified as being below the limit (true negative) and the drivers who are below the legal limit and incorrectly classified as being over the limit (false positive).

The probability of a driver being under the legal limit, given that the breathalyser reading is below the limit, is the probability of a true negative divided by the sum of the probabilities of a true negative and a false positive.

The probability of a true negative is 1 - the probability of a false positive (0.06).

Therefore, the probability that the driver is under the legal limit, given that the breathalyser reading is below the limit, is (1 - 0.06) / (1 - 0.06) + 0.06 = 0.944.

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Answer:

18y−9

Step-by-step explanation:

Answer:

-9 - (-18y)

simplified more answer : -9 + 18y

if the 06 is a decimal then: answer: -9 - (-1.8y)

more simplfied answer: -9 + 1.8y

Step-by-step explanation: -3 x 3 = -9

-3 x 6y = -18 y

(if 06 a decimal: -3 x 0.6y = -1.8y)

variable answers (answers with a letter ) cannot be added together with a non variable answer

At μ = 10.0932 level should the mean be set if it is required that only 1% of the bags weigh less than 9.5 kg.

Given Data:

σ = 0.04 kg

x = 9.5 kg

We want to determine μ such that: P(X ≤ 9.5)= 1% = 0.01

Thus, we know here probability of x is 0.1 which is  less than 9.5

so here Z is -2.326 by the standard table

Determine the z-score in the normal probability table in the appendix that has a probability closest to 0.01:

Then, we have here 1% to left when Z is - 2.326

Now,

The value corresponding to the z-score is then the mean increased by the product of the z-score and the standard deviation:

x = μ+ zσ

= μ− 2.33(0.04) = μ - 0.0932

Since , P(X ≤ 9.5) = 0.95% = 0.095, we know that x also has to be equal to 9.5:

   μ− 0.0932 = 9.5

Add 0.0932 to each side of the previous equation:

μ = 10+ 0.0932

= 10.0932

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Answer: C.5

Step-by-step explanation:

Answer:

16x25x15=6000

4+11÷2=9.5

Step-by-step explanation:

1) 16x25x15 is 16 times 25 times 15, which is 6000

2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5

The values for figure is  x = 2, y = 9,

GH = 8, GJ = 7,

FE = 3, GE = 7​.

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.

The Latin words quadra, which means four, and latus, which means sides, are combined to form the English word quadrilateral. A quadrilateral does not always have to have equal lengths on each of its four sides.

Given figure shows

GH parallel to EG

GH = EG

GH = 3y - 19

EG = 8

3y - 19 = 8

3y = 27

y = 9

GH = 3y - 19 = 3(9) - 19 = 8

and GJ parallel  to JE

GJ = JE

GJ = 3x + 1

JE = 5x - 3

3x + 1 = 5x - 3

5x - 3x = 1 + 3

2x = 4

x = 2

values are,

GJ = 3x + 1 = 3(2) + 1 = 7

JE = 5x - 3 = 5(2) - 3 = 7

FE = 6x - y

substitute values,

x = 2, y = 9

FE = 6x - y = 6(2) - 9 = 12 - 9 = 3

Hence x = 2, y = 9

GH = 8, GJ = 7,

FE = 3, GE = 7​.

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The exact values of all angles in the interval [0, 360°) that satisfy the given equations are:

data = 45°, 135°, 315°.

To solve the given trigonometric equations, we will consider each equation separately.

tan²(data) - 1 = 0:

First, let's rewrite tan²(data) as (sin(data)/cos(data))²:

(sin(data)/cos(data))² - 1 = 0

Now, we can factor the equation:

(sin²(data) - cos²(data)) / cos²(data) = 0

Using the Pythagorean identity sin²(data) + cos²(data) = 1, we can substitute sin²(data) with 1 - cos²(data):

((1 - cos²(data)) - cos²(data)) / cos²(data) = 0

Simplifying further:

1 - 2cos²(data) = 0

Rearranging the equation:

2cos²(data) - 1 = 0

Now, we solve for cos(data):

cos²(data) = 1/2

cos(data) = ± √(1/2)

cos(data) = ± 1/√2

cos(data) = ± 1/√2 * √2/√2

cos(data) = ± √2/2

From the unit circle, we know that cos(data) = √2/2 corresponds to angles 45° and 315° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 315°.

cos(data)sin(data) = 1:

Since cos(data) ≠ 0 (otherwise the equation wouldn't hold), we can divide both sides by cos(data):

sin(data) = 1/cos(data)

sin(data) = 1/√2

From the unit circle, we know that sin(data) = 1/√2 corresponds to angles 45° and 135° in the interval [0, 360°). Therefore, the solutions for data are:

data = 45° and data = 135°.

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The pribability P(Freshman | Male) = 4/14 = 0.2857 = is 29%.

What is the pribability ?

The probability of selecting a male freshman can be found by dividing the number of male freshmen by the total number of male students:

P(Freshman | Male) = (Number of Male Freshmen) / (Total Number of Male Students)

From the table, we see that there are 4 male freshmen out of a total of 4+6+2+2=14 male students.

P(Freshman | Male) = 4/14 = 0.2857 = 28.57%

Rounded to the nearest whole percent, the probability is 29%.

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Complete question is: If a male student is selected at random, what is the probability the student is a freshman.

P(Freshman | Male) = 29%.

The estimated loss for 100 parts can be determined by calculating the difference between the target value and the sample mean, and then multiplying it by the number of parts (100).

However, without additional information about the target value and the variability of the process, it is not possible to provide an exact estimation of the loss.

To estimate the loss for 100 parts, we need to consider the difference between the target value and the sample mean, which is given as 9.710. However, since we don't have the target value, we cannot calculate the exact loss. The target value represents the desired or expected value for the dimension being measured, and it is necessary to have this value to determine the deviation from the target.

Additionally, the estimation of loss depends on the variability of the process, which is not provided in the given information. Variability is an important factor in determining the potential deviation from the target value. If the process has high variability, the potential loss can be larger compared to a process with low variability.

To calculate the loss, we would need the specification limits or tolerance range, which defines the acceptable range for the dimension being measured. With the target value, sample mean, and specification limits, we can estimate the loss by calculating the deviation from the target and multiplying it by the number of parts (100).

However, since the necessary information is not provided, we cannot provide an exact estimation of the loss for 100 parts. It is crucial to have complete information about the target value, process variability, and specification limits to accurately estimate the potential loss in a production process.

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The probability that the sample mean would be greater than 148.6 millimeters is 0.017

The spread of all the data points in a data collection is taken into account by the variance, which is a measure of dispersion.

Given  Population mean μ= 147

Population Variance σ^2 = 25

So, population SD = 5

Size of sample = n = 44 Sample mean = x

To find P( y > 148.6) :

SE =σ/√n =

5/√44= 0.7538

Transforming to Standard Normal Variate:

Z = (x - μ )/SE    

= (148.6 - 147)/0.7538    

= 2.1226

From Table of Area Under Standard Normal Curve, corresponding to Z = 2.1226, area = 0.4830.

So, required probability = 0.5 - 0.4830 = 0.017

The probability that sample mean would be greater than 148.6 millimeters is 0.017

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Answer:

complementary angle

Step-by-step explanation:

hope this helps u

Answer:

4 units

Step-by-step explanation:

Right now, the line A'B' is 8 units long. Since this was multiplied by 2 to get this number, you can divide it by 2 to get the original number. 8/2 is 4.

Therefore, the correct answer is 4 units!

Hope I helped!!!!!

Answer:

you will have to pay 427.75 cents.

Step-by-step explanation:

Multiply 7.25 by 59.

Answer:

b ≈ 8.49

Step-by-step explanation:

A^2 + b^2 = c^2.   (Pythagorean theorem)

c is the hypotenuse or the longest side of a triangle.

a and b are the other 2 sides.

17^2 + b^2 = 19^2

289 + b^2 = 361

289 + b^2 - 289 = 361 - 289

b^2 = 72

b ≈ 8.49

Have a great day!

Answer:

Slope. -6

Y- intercept. 180

Answer:

  f(x) and h(x) have the same maximum value: 3

Step-by-step explanation:

The maximum value of f(x) is 3 at (π, 3).

The maximum value of g(x) is -2 at (-3, -2).

The maximum value of h(x) is 3 at (0, 3).

Both f(x) and h(x) have the same (greatest) maximum value.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving for x,

This way, we can conlcude that:

The slope of the line passing through (7,1) and (-2,3) is -2/9.

We use the following formula to get the slope of a line through two specified points:

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

where (x1, y1) and (x2, y2) are the coordinates of the two points.

We can calculate the slope of the line passing through the points (7, 1) and (-2, 3) using this formula:

slope = (3 - 1) / (-2 - 7) = 2 / (-9) = -2/9

Therefore, the slope of the line passing through the points (7, 1) and (-2, 3) is -2/9.

The slope of a line, in geometric terms, is the ratio of the vertical change (rise) to the horizontal change (run). If the slope is negative, the line is decreasing as we move from left to right. With a slope of 2 units downward for every 9 units to the right, the line is sloping downward from left to right.

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The least distance traveled is \($240\sqrt{3}$\) feet.

Each boy shakes hands with the two boys who are not adjacent to him on the circle. Since there are six boys in total, each boy shakes hands with four other boys. We can represent these handshakes on a graph, where the six vertices represent the six boys and the edges represent the handshakes. Each vertex has degree 4, meaning that there are 12 edges in total.

To minimize the distance traveled, each boy should simply walk directly across the circle to shake hands with the two boys on the opposite side. This way, each boy walks a distance equal to the diameter of the circle, which is \(2 \times 40 = 80$ feet.\)

Since there are six boys, the total distance traveled is \(6 \times 80 = 480$ feet\). However, we have counted each handshake twice, so we need to divide by 2 to get the total distance traveled. This gives us \(240$ feet.\)

To express this answer in the simplest radical form, we can use the fact that an equilateral triangle with side length \(s$\) has height \(s\sqrt{3}/2$\). The six handshakes form an equilateral triangle with side length 80, so its height is \(80\sqrt{3}/2 = 40\sqrt{3}$ feet\). Therefore, the total distance traveled is \(240\sqrt{3}$\) feet.

Therefore, the correct answer is \(240\sqrt{3}$\)feet.

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The value of Kc for the reaction H2O(l) ⇌ H2O(g) at 50°C is approximately 0.0046 mol/L

To convert the value of Kp to Kc for the reaction H2O(l) ⇌ H2O(g), you need to consider the balanced equation and the relationship between Kp and Kc.

First, let's examine the balanced equation: H2O(l) ⇌ H2O(g)

To convert from Kp to Kc, we need to use the equation:
Kp = Kc(RT)^(Δn)

Here, R is the ideal gas constant (0.0821 L·atm/(mol·K)), T is the temperature in Kelvin (50°C = 50 + 273.15 K = 323.15 K), and Δn is the change in the number of moles of gaseous products minus the number of moles of gaseous reactants.

In this case, since there are no gaseous reactants or products, Δn is equal to 0.

Now, let's plug in the values we have:
Kp = 0.122
R = 0.0821 L·atm/(mol·K)
T = 323.15 K
Δn = 0

Using the equation Kp = Kc(RT)^(Δn), we can rearrange it to solve for Kc:
Kc = Kp / (RT)^(Δn)

Substituting the values we have:
Kc = 0.122 / (0.0821 L·atm/(mol·K) * 323.15 K)^(0)

Simplifying the equation, we find:
Kc = 0.122 / 26.677 L/mol

Calculating the value, we get:
Kc ≈ 0.0046 mol/L

Therefore, the value of Kc for the reaction H2O(l) ⇌ H2O(g) at 50°C is approximately 0.0046 mol/L.

Remember to double-check the calculations and units to ensure accuracy.

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The value of Kp is equal to Kc for the given reaction. In this case, Kc is equal to 0.122 at 50°C.

To convert the value of Kp to Kc for the given reaction, we need to use the ideal gas law equation, which relates pressure (P) and concentration (C). The equation is:

Kp = Kc(RT)^(∆n)

Where:
- Kp is the equilibrium constant in terms of pressure.
- Kc is the equilibrium constant in terms of concentration.
- R is the ideal gas constant.
- T is the temperature in Kelvin.
- ∆n is the difference in moles of gas between the products and reactants.

In this case, the reaction is H2O(l) ⇌ H2O(g), which means there is no change in the number of gas moles (∆n = 0). Therefore, the equation simplifies to:

Kp = Kc(RT)^0

Since anything raised to the power of 0 is 1, the equation becomes:

Kp = Kc

This means that the value of Kp is already equal to Kc for this reaction. So, Kc = 0.122 at 50°C.

To summarize, the value of Kp is equal to Kc for the given reaction. In this case, Kc is equal to 0.122 at 50°C.

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The probability that 3 of the next 5 days have two accidents is approximately  0.225. We can use the Poisson distribution to model the number of traffic accidents on each day, with a mean of 2. Let X be the number of accidents on a single day, then X ~ Poisson(2).

(a) To find the probability that 3 of the next 5 days have two accidents, we can use the binomial distribution since we are interested in the number of successes (days with two accidents) in a fixed number of trials (5 days). Let Y be the number of days with two accidents in 5 days, then Y ~ Binomial(5, P), where P is the probability of having two accidents on a single day.

Since X ~ Poisson(2), we know that P(X = 2) = e^(-2) * 2^2 / 2! = 0.2707 (using the Poisson probability formula). Therefore, P = 0.2707 is the probability of having two accidents on a single day.

Using the binomial probability formula, we can find the probability of having exactly 3 days with two accidents in 5 days:

P(Y = 3) = (5 choose 3) * 0.2707^3 * (1 - 0.2707)^2 = 0.225

Therefore, the probability that 3 of the next 5 days have two accidents is approximately 0.225.

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The sum of the series is 7 / (1 - (-2z)), and the domain for which the series converges is (-1/2, 1/2).

The given series is a geometric series with the first term, a = 7, and the common ratio, r = -2z.

To find the sum of the series, we can use the formula for the sum of an infinite geometric series:

sum = a / (1 - r)

sum = 7 / (1 - (-2z))

To find the domain for which the series converges, we need the absolute value of the common ratio to be less than 1:

| -2z | < 1

-1 < 2z < 1

-1/2 < z < 1/2

So, the sum of the series is 7 / (1 - (-2z)), and the domain for which the series converges is (-1/2, 1/2).

Answer:

C

Step-by-step explanation:

Answer:

1/110 =.6/x use cross multiplication and multiply

Step-by-step explanation

Your answer is x=66 miles

Hope this helps!!!

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