solve it : -

\( \dfrac{44}{4} \)
_______​

Answer:

25x10^6 in standard form is 2.5×10^7

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

Trica's survey of students in her computer class about their computer usage may not support a valid inference regarding the time spent on computers by students in her entire school.

The survey results may lack validity due to several reasons. First, the sample size may be limited to only Trica's computer class, which could introduce selection bias and make it unrepresentative of the entire school population. Representativeness is crucial for generalizing the findings to the broader student body accurately.

Second, the self-reported nature of the survey introduces the potential for self-reporting bias, where students may provide inaccurate or exaggerated information about their computer usage.

This could lead to unreliable results and inaccurate inferences. Additionally, the survey design and measurement techniques might not be rigorous enough to capture a comprehensive understanding of computer usage, lacking standardization and reliable measurement tools.

To obtain valid inferences, it would be necessary to employ random sampling techniques to ensure representativeness, include students from various classes or grades, verify the accuracy of reported data through cross-referencing or observation, and utilize validated measurement instruments.

By addressing these limitations, Trica can enhance the validity of the survey results and make more robust inferences about the time spent on computers by students in her school.

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The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer:

52 in^2

Hope this helps!

Answer:

(0, \(\frac{5}{3}\) )

Step-by-step explanation:

3x + 6y = 10 → (1)

2x + 3y = 5 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate y

- 4x - 6y = - 10 → (3)

add (1) and (3) term by term to eliminate y

- x + 0 = 0

- x = 0

x = 0

substitute x = 0 into either of the 2 equations and solve for x

substituting into (2)

2(0) + 3y = 5

3y = 5 ( divide both sides by 3 )

y = \(\frac{5}{3}\)

solution is (0, \(\frac{5}{3}\) )

Answer:

x = 22.5

Step-by-step explanation:

The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is

\(\frac{1}{2}\) (4x + 5 - 50 ) = x ( multiply both sides by 2 )

4x - 45 = 2x ( subtract 2x from both sides )

2x - 45 = 0 ( add 45 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5

The third fundamental form of a sphere, which is S2 in differential geometry, is known as Gauss curvature. In order to determine the Gauss curvature, we need to calculate the first and second fundamental forms first. After calculating these two forms, we can determine the necessary information.

The first fundamental form is defined as follows:\(\[ds^2=E(u,v)du^2+2F(u,v)dudv+G(u,v)dv^2\]\)

where E, F, and G are smooth functions of u and v. Here, u and v are the parameters of the surface S2. The second fundamental form, on the other hand, is given by:\(\[dN^2=-L(u,v)du^2-2M(u,v)dudv-N(u,v)dv^2\]\)

where L, M, and N are also smooth functions of u and v. In addition, N is a unit normal vector to S2.Using the two forms above, we can determine the Gauss curvature of S2 using the formula:\(\[K=\frac{LN-M^2}{EG-F^2}\]\)

Therefore, the Gauss curvature is given by the ratio of the determinant of the second fundamental form to the determinant of the first fundamental form.

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The area of triangle ABC is 6 square units.

To find the area of triangle ABC, we need to know the lengths of its base and height.

Looking at the given diagram, we can see that the base of triangle ABC is the line segment AC, and the height is the vertical distance from point B to line AC.

From the diagram, it is clear that the base AC has a length of 3 units.

To determine the height, we need to find the perpendicular distance from point B to line AC.

By visually inspecting the diagram, we can observe that the height from point B to line AC is 4 units.

Now, we can use the formula for the area of a triangle, which is given by:

Area = (1/2) \(\times\) base \(\times\) height

Plugging in the values, we get:

Area = (1/2) \(\times\) 3 \(\times\) 4

= 6 square units

Therefore, the area of triangle ABC is 6 square units.

Based on the provided answer choices, none of the options match the calculated area of 6 square units.

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The conditional probability distribution of x given y = 5 is (3x + 10)/23.To find the value of K, we need to ensure that the joint probability distribution function satisfies the condition of total probability,

which states that the sum of all probabilities over the entire sample space should be equal to 1.

Given that the joint probability distribution function is:

f(x, y) = (3x + 2y)/5 for x = -2, 3 and y = 1, 5

a. Find the value of K:

To find the value of K, we substitute the given values of x and y into the joint probability distribution function and sum the probabilities over all possible values of x and y:

K = f(-2, 1) + f(-2, 5) + f(3, 1) + f(3, 5)

K = [(3(-2) + 2(1))/5] + [(3(-2) + 2(5))/5] + [(3(3) + 2(1))/5] + [(3(3) + 2(5))/5]

K = (-6 + 2)/5 + (-6 + 10)/5 + (9 + 2)/5 + (9 + 10)/5

K = -4/5 + 4/5 + 11/5 + 19/5

K = 30/5

K = 6

Therefore, the value of K is 6.

b. Find the marginal function of x:

To find the marginal function of x, we sum the joint probabilities over all possible values of y for each value of x:

f(x) = f(x, 1) + f(x, 5)

Substituting the given joint probability distribution function:

f(x) = [(3x + 2(1))/5] + [(3x + 2(5))/5]

f(x) = (3x + 2)/5 + (3x + 10)/5

f(x) = (6x + 12)/5

Therefore, the marginal function of x is (6x + 12)/5.

c. Find the marginal function of y:

To find the marginal function of y, we sum the joint probabilities over all possible values of x for each value of y:

f(y) = f(-2, y) + f(3, y)

Substituting the given joint probability distribution function:

f(y) = [(3(-2) + 2y)/5] + [(3(3) + 2y)/5]

f(y) = (-6 + 2y)/5 + (9 + 2y)/5

f(y) = (2y - 6)/5 + (2y + 9)/5

f(y) = (4y + 3)/5

Therefore, the marginal function of y is (4y + 3)/5.

d. Find f(x|y = 5):

To find f(x|y = 5), we need to calculate the conditional probability of x given that y = 5. Using the joint probability distribution function, we can find the probabilities of x for y = 5:

f(x|y = 5) = f(x, 5)/f(y = 5)

f(x|y = 5) = [(3x + 2(5))/5] / [(4(5) + 3)/5]

f(x|y = 5) = (3x + 10)/23

Therefore, the conditional probability distribution of x given y = 5 is (3x + 10)/23.

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Answer:

An ordered pair is a pair of numbers in a specific order. For example, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is important: (1, 2) is not equivalent to (2, 1) -- (1, 2)≠(2, 1).

Step-by-step explanation:

Answer:

(12, 9), (3, 6)

Step-by-step explanation:

The questions that could be used to challenge each claim goes as follows.

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Answer:

65m^5n³

Step-by-step explanation:

(13m³n¹)(5m²n²)

GROUP LIKE TERMS

(13×5)(m³+²)(n¹+²) <Remember to use exponential laws

65m^5n³

Answer:

6.40$

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLEIST

To calculate the area of the enclosed region, we need to find the area between the curves y = 11x² and y = x² + 4. This can be done by integrating the difference between the two functions over their common interval of intersection.

By setting the two equations equal to each other and solving, we find the points of intersection as x = -2 and x = 1. Integrating the difference between the curves from x = -2 to x = 1 gives us the area of the enclosed region. The calculated area is 35 square units.

To find the area of the enclosed region, we need to determine the points of intersection between the curves y = 11x² and y = x² + 4. By setting these two equations equal to each other, we can solve for x:

11x² = x² + 4

10x² = 4

x² = 4/10

x = ±√(4/10)

x = ±√(2/5)

Since we are interested in the region enclosed by the curves, we consider the interval from x = -2 to x = 1 (as the curves intersect within this range).

To calculate the area of the enclosed region, we integrate the difference between the two functions over this interval:

Area = ∫(11x² - (x² + 4)) dx from -2 to 1

= ∫(10x² - 4) dx from -2 to 1

= [10/3 * x³ - 4x] evaluated from -2 to 1

= (10/3 * 1³ - 4 * 1) - (10/3 * (-2)³ - 4 * (-2))

= (10/3 - 4) - (10/3 * (-8) - 4 * (-2))

= (10/3 - 4) - (-80/3 + 8)

= (10/3 - 12/3) + (80/3 - 8)

= -2/3 + 80/3

= 78/3

= 26

Hence, the area of the enclosed region is 26 square units.

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\( {5x}^{4} \)

The degree of the given term is 4.

Answer:

1410ft²

Step-by-step explanation:

20 * 12 * 2 + [62 * (15 + 12)] =

480 + (62 * 15) =

480 + 930 =

1410ft²

Answer:

Well in order to find the y-intercept, the “x” has to be 0. To find that we need to find the pattern and to ind the pattern you would need to find the slope. The slope is -4 or 4/ -1

So the Y is 4 and the X is -1

So use that to add or subtract for the pattern

1, -4

0, 0

The y- Intercept is 0 or option (A)

Answer: 7,720

The answer is 7,720! got the question correct with it

The present value of the sequence of annual payments of Rs 25000 each, the first being made at the end of the 5th year and the last being paid at the end of the 12th year, if money is worth 6% is Rs. 158620.39.

1: We can use the formula to calculate the present value of the annuity:

P = A x [1 - (1+i)^-n] / i

Where

P = Present Value

A = Annuity

i = Interest Raten = Number of payments

2: Calculate the present value of each payment using the formula:

P1 = 25000 / (1.06)⁵

P2 = 25000 / (1.06)⁶

P3 = 25000 / (1.06)⁷

P4 = 25000 / (1.06)⁸

P5 = 25000 / (1.06)⁹

P6 = 25000 / (1.06)¹⁰

P7 = 25000 / (1.06)¹¹

P8 = 25000 / (1.06)¹²

3: Substitute the values into the formula to find the present value:

P = P1 + P2 + P3 + P4 + P5 + P6 + P7 + P8

P = (25000 / (1.06)⁵) + (25000 / (1.06)⁶) + (25000 / (1.06)⁷) + (25000 / (1.06)⁸) + (25000 / (1.06)⁹) + (25000 / (1.06)¹⁰) + (25000 / (1.06)¹¹) + (25000 / (1.06)¹²)

P = 158620.39

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Answer:

conversion factor

Step-by-step explanation:

that is what I found on the internet

hope it helps :)

Hi there!  When talking about interval notation, we use regular parentheses e.g. (). Interval notation is a way to describe continuous sets of real numbers by the numbers that bound them. When written, they look somewhat like ordered pairs. Although, they are not meant to denote a specific point. They are meant to be a shorthand way to write an inequality or system of inequalities.

With interval notation, we use use square brackets e.g. [ ].

With inequalities, we use "less than or equal to" ≤ or "greater than or equal to": ≥ to include the endpoint of the interval. Inclusive inequalities with the “or equal to” component are indicated with a closed dot on the number line and with a square bracket using interval notation. Strict inequalities without the “or equal to” component are indicated with an open dot on the number line and a parenthesis using interval notation

Hope this helps! Have a good day!!

The probability that a valve was ground twice can be calculated using Bayes' theorem. Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%, and the probability of a valve meeting the specification given that it was reground twice is 100%. Therefore, using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as (0.14 x 0.19) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029. Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

Bayes' theorem is a mathematical formula used to calculate conditional probabilities. It states that the probability of an event A given an event B is equal to the probability of event B given event A, multiplied by the probability of event A, divided by the probability of event B. In this problem, we want to calculate the probability of a valve being ground twice given that it was scrapped.
To apply Bayes' theorem, we first need to identify the relevant probabilities. We are given that after the first grind, 62% of the valves meet the specification, 24% are reground once, and 14% are scrapped. We are also given that of those valves that are reground, 81% meet the specification, and 19% are scrapped.
Let G1 be the event that a valve is reground once and G2 be the event that a valve is reground twice. Then, the probability of a valve being scrapped given that it was reground once is 19%. The probability of a valve meeting the specification given that it was reground twice is 100%, since all valves that are reground twice are guaranteed to meet the specification.
Using Bayes' theorem, we can calculate the probability of a valve being ground twice given that it was scrapped as follows:
P(G2|scrapped) = P(scrapped|G2) x P(G2) / P(scrapped)
where P(scrapped|G2) is the probability of a valve being scrapped given that it was reground twice, P(G2) is the probability of a valve being reground twice, and P(scrapped) is the probability of a valve being scrapped.
We already know that P(scrapped|G1) = 0.19, P(scrapped|G2) = 0, P(G1) = 0.24, P(G2) = (1 - 0.62 - 0.24 - 0.14) x P(G1) = 0.027, and P(scrapped) = 0.14.
Plugging in the values, we get:
P(G2|scrapped) = (0 x 0.027) / ((0.14 x 0.19) + (0.24 x 0.81)) = 0.029
Thus, the probability that a valve was ground twice given that it was scrapped is 2.9%.

In summary, we can use Bayes' theorem to calculate the probability of a valve being ground twice given that it was scrapped. We first identify the relevant probabilities, such as the probability of a valve being scrapped given that it was reground once or twice. We then apply Bayes' theorem to obtain the desired probability. In this case, the probability that a valve was ground twice given that it was scrapped is 2.9%.

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Answer:

1.68 gallons.

Step-by-step explanation:

So, without mincing words let's dive straight into the solution to the problem above. We are given from the question that the person that is Summet make use of gasoline to mow lawns and the amount of gasoline that Summet uses per hour = 0.4 gallon.

If Summet uses 0.4 gallon of kerosene in 1 hour. Then, Summet will use x gallons of gasoline in 4.2 hours, that is:

0.4  -----------------------> 1 hour.

x ---------------------------> 4.2 hours. Then,

x = 4.2 × 0.4 = 1.68 gallons of gasoline.

Hence, Summet uses 1.68 gallons of gasoline in 4.2 hours.

Answer:

(2) The statement is true.

-1 < r < 1

There is insufficient evidence to reject the null hypothesis, and we cannot conclude that the actual overall mean diameter of the ball bearings is not 4.300 mm.

The standard deviation (s) of the ball bearings' diameters is given as 0.005 mm, indicating the variability in the measurements. The overall mean diameter (µ) is specified as 4.300 mm. A sample of 81 ball bearings (n) has a sample mean of 4.299 mm. To determine whether there's reason to believe that the actual overall mean diameter is not 4.300 mm, we need to conduct a hypothesis test.

We begin with stating the null hypothesis (H₀) as: µ = 4.300 mm, and the alternative hypothesis (H₁) as: µ ≠ 4.300 mm. To conduct the hypothesis test, we can use the Z-test since the sample size is large (n ≥ 30). The Z-test statistic is calculated as:

Z = (sample mean - µ) / (s / √n)

Plugging in the values:

Z = (4.299 - 4.300) / (0.005 / √81) ≈ -1.8

Now, we need to find the p-value associated with this Z-score. The p-value helps us to determine the likelihood of observing a sample mean as extreme as 4.299 mm, given that the null hypothesis is true. A low p-value (typically, p < 0.05) would indicate that there is evidence to reject the null hypothesis in favor of the alternative hypothesis.

In this case, the p-value associated with a Z-score of -1.8 is approximately 0.072, which is greater than 0.05. Therefore, there is insufficient evidence to reject the null hypothesis, and we cannot conclude that the actual overall mean diameter of the ball bearings is not 4.300 mm.

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The fourth vertex's coordinates are as follows: ( 2.1, -3.6)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

So, let the missing coordinates be (a,b).

Let's now utilize the midpoint formula to locate the erroneous coordinate.

Let the reference point be (-2.3, 3.6) A.

Let point B be (2.3, 2.2).

(2.1, 2.2) Let C be the point.

The center of AC should be at BD.

Step 1: Locating the AC's midpoint

Middle pint of AC:

(-2.3 + 2.1/2), (-3.6 + 2.2/2)

(0.2/2), (1.4/2)

(-0.1, -0.7)

Let's equate the midpoints in step two.

The BD mid-point:

(a + -2.3/2), (b + 2.2/2) =  (-0.1, -0.7)

(a + -2.3/2) = -0.1

(a -2.3/2) = -0.1*2

a = -0.2+2.3

a = 2.1

(b + 2.2/2) = -0.7

b + 2.2 = -0.7*2

b + 2.2 = -1.4

b = -1.4 -2.2

b = -3.6

Therefore, the fourth vertex's coordinates are as follows: ( 2.1, -3.6)

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Complete question:

Freddy drew a plan for a rectangular piece of material that hehe will use for a blanket. Three of the vertices are ​( -2.3 and −3.6​), ​(−2.3​, and 2.2​), and ​(2.1​, and 2.2​). What are the coordinates of the fourth​ vertex?

Geometric sequences have the same ratio between consecutive numbers. The number of coins on E, F, G, and H are 16, 32, 64, 128, and 256.

A geometric sequence is a series of numbers where the ratio between two consecutive numbers is the same.

As we can see that the number of coins in each column of row one is increasing by a factor of 2 towards the right, therefore, the number of coins on each square can be given as,

\(\text{Number of coins} = 2^n\)

where n is the count of the column from the right.

Therefore,

A = 1

B = 2

C = 3

and so on, using the same, the number of coins on D, E, F, G, and H are,

\(A = 2^1=2\\B= 2^2 = 4\\C = 2^3 =8\\D = 2^4 = 16\\E = 2^5=32\\F = 2^6=64\\G=2^7= 128\\H=2^8 = 256\)

Hence, the number of coins on A, B, C, D, E, F, G, and H are 1, 2, 4, 8, 16, 32, 64, 128, and 256.

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Answer:

The answer is

A= 1,

B=2,

C=4,

D=8,

E=16,

F=32,

G=64,

H=128

The total number of pennies on Row 1 is 255

Sample Answer: My prediction was less than the actual count. Instead of multiplying the number squares by a guess for the average, estimate the pennies on the last square to help guide the estimate.

Answer:

To find the maximum gas mileage, we need to find the vertex of the parabola representing the gas mileage function.

The x-coordinate of the vertex of a parabola in the form of y = ax^2 + bx + c is given by -b/2a.

In this case, the gas mileage function is m(x) = -0.026x^2 + 2.593x - 35.023, so a = -0.026 and b = 2.593.

The x-coordinate of the vertex is therefore:

x = -b/2a = -2.593/(2*(-0.026)) = 49.9 (rounded to one decimal place)

This means that the maximum gas mileage occurs at a speed of 49.9 mph.

To find the maximum gas mileage, we can substitute x = 49.9 into the gas mileage function:

m(49.9) = -0.026(49.9)^2 + 2.593(49.9) - 35.023 ≈ 36.1 mpg

Therefore, the maximum gas mileage is approximately 36.1 mpg.

Step-by-step explanation: