Solve for x: a(3x+b) + 2ax=c

Answer:

A.

Step-by-step explanation:

x + y = 29, 5x +2y = 100

Answer:

\( P(14.8< X<16.5)= \frac{16.5-11.1}{19.2-11.1} -\frac{14.8-11.1}{19.2-11.1}= 0.667-0.457= 0.210\)

The probability that it will require between 14.8 and 16.5 minutes to perform the task is 0.210

Step-by-step explanation:

Let X the random variable "completion times for a job task" , and we know that the distribution for X is given by:

\( X \sim Unif (a= 11.1, b= 19.2)\)

And for this case we wantto find the following probability:

\( P(14.8< X<16.5)\)

And for this case we can use the cumulative distribution given by:

\( F(x) =\frac{x-a}{b-a} , a\leq X \leq b\)

And using this formula we got:

\( P(14.8< X<16.5)= \frac{16.5-11.1}{19.2-11.1} -\frac{14.8-11.1}{19.2-11.1}= 0.667-0.457= 0.210\)

The probability that it will require between 14.8 and 16.5 minutes to perform the task is 0.210

Answer:

12C

Step-by-step explanation:

4 hours from 12-8= 4 hours

4x2=8

8+5=13

13-1 C because its 30 mins difference

12C

Answer:

16801.2cm²

Step-by-step explanation:

Cone :

SA = πrl

SA = π · 28 ·  45                     90-45 = 45

SA = 3958.406744

Cylinder :

SA = 2 · π · r · ( r+h)

SA = 2 · π · 28 ( 28 +45 )

SA = 2 · π · 28 (73)

SA = 12842.83077

12842.83077 + 3958.406744 =

16801.2cm²

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

Answer:

a) variable = X

N = 15

Mean = 50.0933

SE Mean = 1.58

StDev = 6.11

Variance = 37.3321

Sum = 751.40

b) 95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Step-by-step explanation:

variable = X

N = ?

Mean = ?

SE Mean = 1.58

StDev = 6.11

Variance = ?

Sum = 751.40

To fill in the missing quantities, we need to use some of their formulas.

For N, the number of variables

SE = Standard Error of the mean = σₓ = (σ/√N)

σₓ = Standard Error of the mean = 1.58

σ = standard deviation of the sample = 6.11

N = sample size = ?

1.58 = (6.11/√N)

√N = (6.11/1.58) = 3.8671

N = 3.8671² = 14.954374299 = 15 to the nearest whole number.

For the Mean

Mean = (Sum of variables)/(Number of variables)

Mean = ?

Sum of variables = 751.40

Number of variables = N = 15

Mean = (751.40/15) = 50.0933333333 = 50.093

For Variance

Variance = (Standard deviation)² = (6.11)² = 37.3321

b) To compute the confidence interval.

idence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 50.0933

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the z-distribution. This is because although, there is no information provided for the population standard deviation, the sample size is large enough for the sample properties to approximate the population properties.

To find the critical value from the z-tables,

z at 95% confidence level = 1.960 (from the z-distribution tables)

Standard error of the mean = σₓ = (σ/√N)

Already calculated to be 1.58

95% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 50.0933 ± (1.960 × 1.58)

CI = 50.0933 ± 3.0968

95% CI = (46.9965, 53.1901)

95% Confidence interval = (46.997, 53.190) = (47.00, 53.19)

Hope this Helps!!!

The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Explanation:

Choice A is a reflection. Choice C is a rotation. Reflections and rotations are isometries because they preserve the same shape and size of the original figure. Translations are the third type of isometry.

Choice B is not an isometry. It looks like an extra point is added along with extra line segments. The before and after figures are completely different.

Answer:

C) 58

Step-by-step explanation:

180-138=42

42+80=122

180-122=58

A= 58

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

The formula for converting x-values to z-scores (standard units) is given by:

z = (x - μ) / σ

where x is the value to be converted, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

This formula is used to transform raw data into a standard normal distribution, with a mean of 0 and a standard deviation of 1. The resulting z-score tells us how many standard deviations away from the mean the original value is.

By converting data into z-scores, we can compare observations from different distributions and calculate probabilities associated with those observations using standard normal distribution tables.

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The expression for the amount of Meghan's newspaper for three months will be T = C - (9.95 x  3).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, expansion and division.

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months.

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

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Answer:

The translation corresponds to : \(g(x)=\sqrt[3]{x-4}\)

which is the first option in your list of possible answers

Step-by-step explanation:

Notice that this new function's graph responds to a horizontal translation to the right of the original graph of \(f(x)=\sqrt[3]{x}\). Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.

Recall that horizontal translations are performed by subtracting from the independent variable  (x) , the number of units you move (in this case 4)

Therefore the new function should look like:

\(g(x)=\sqrt[3]{x-4}\)

The answer is A.

did the test

The function f(x) = \(-2(x+4)^2\) + 1 has a greater maximum.

1. The given function is f(x) = \(-2(x+4)^2\) + 1.

2. To find the maximum of the function, we need to determine the vertex of the parabola.

3. The vertex form of a quadratic function is given by f(x) = \(a(x-h)^2\) + k, where (h, k) represents the vertex.

4. Comparing the given function to the vertex form, we see that a = -2, h = -4, and k = 1.

5. The x-coordinate of the vertex is given by h = -4.

6. To find the y-coordinate of the vertex, substitute the x-coordinate into the function: f(-4) = \(-2(-4+4)^2\) + 1 = \(-2(0)^2\) + 1 = 1.

7. Therefore, the vertex of the function is (-4, 1), which represents the maximum point.

8. Comparing this maximum point to the information provided about the other function g(x) on the coordinate plane, we can conclude that the maximum of f(x) = \(-2(x+4)^2\) + 1 is greater than the maximum of g(x).

9. The given information about g(x) is not sufficient to determine its maximum value or specific equation, so a direct comparison is not possible.

10. Hence, the function f(x) =\(-2(x+4)^2\) + 1 has a greater maximum.

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The rocket's maximum height is 800 feet. It reached its maximum height at 5 seconds after launch.

To solve this problem, we need to find the vertex of the parabola represented by the equation Y= -16t^2+160t. The vertex of a parabola is the point where the parabola changes direction, from increasing to decreasing or vice versa.

The vertex of the parabola is given by the following formula:

(-b/2a, c - b^2/4a)

In this case, the value of b is 160 and the value of a is -16. Plugging these values into the formula, we get the following:

(-160/2(-16), 800 - 160^2/4(-16))

(5, 800)

Therefore, the rocket reached its maximum height at 5 seconds after launch. The maximum height is 800 feet.

anser is

Step-by-step explanation:

618 is the answer

Answer:

x = 13.3

Step-by-step explanation:

Use the cosine law:

x^2 = (8)^2 + (18)^2 -2(8)(18)cos43

= 64 + 324 - 288cos43

= 177.3

x = 13.3

Answer:

Every quotient of two integers is always a rational number but not always an integer

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

wheres it at?

Step-by-step explanation:

#Everything4Zalo

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Answer:

The total cost per month is $190.76 to the nearest cent.

Step-by-step explanation:

From the given table, the monthly service plan costing $52.00 is:

The base calling plan includes two lines.

Therefore, for 4 lines, we will need to pay for 2 additional lines per month:

⇒ $21.99 × 2 = $43.98 per month

If 3,487 minutes are used per month, then the overage of minutes is:

⇒ 3487 - 2000 = 1487 minutes per month

As the overage rate is $0.06 per minute, then the cost of the additional minutes is:

⇒ 1487 × $0.06 = $89.22 per month

Therefore, the total cost per month before tax is:

⇒ $52.00 + $43.98 + $89.22 = $185.20

To apply the federal tax of 3%, multiply the total cost by 1.03:

⇒ $185.20 × 1.03 = $190.756 = $190.76 (nearest cent)

Therefore, the total cost per month is $190.76 to the nearest cent.

Answer:

Step-by-step explanation:

IF 22% of 714 surveyed adult made a statement, the actual number of those that made the statement can be gotten by simply evaluating 22% of 714 as shown below;

= 22% of 714

= 22/100 * 714

= (22*714)/100

= 15708/100

= 157.08

≈ 157 surveyed adult

This means that about 157 surveyed adults made the statement.

Answer:

Step-by-step explanation:

Answer:

y = 9

Step-by-step explanation:

Answer:

5.357142857

Step-by-step explanation:

The number of science fiction novels bought is 2

The number of mystery novels bought is 4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Number of science fiction = m

Number of mystery novels = n

We have the following equation.

6m + 4n = 28 _____(1)

m + n = 6 _____(2)

From(2) we get,

m = 6 - n

Putting in (1) we get,

6(6 - n) + 4n = 28

36 - 6n + 4n = 28

36 - 2n = 28

36 - 28 = 2n

8 = 2n

n = 4

Now,

Putting n = 2 in m = 6 - n
m = 6 - 4

m = 2

Thus,

The number of science fiction novels bought is 2

The number of mystery novels bought is 4

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Answer:

19 people remaining 2 people

Step-by-step explanation:

20 cars needed for 78 passenger.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total passenger= 78

and, Each car can carry= 4 people

So, number of cars required

= 78/4

= 19.5

= 20 cars

Hence, 20 cars needed for 78 passenger.

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