Is the answer to this question 4.5

The probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).

To find the probability that it will require between 13.7 and 17.3 minutes to perform the task, we can use the formula for calculating the probability of a range within a uniform distribution.
First, we need to find the total range of completion times, which is 18.3 - 10.8 = 7.5 minutes.
Next, we calculate the probability of the task taking less than 13.7 minutes by finding the difference between 13.7 and 10.8, which is 2.9 minutes.

Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 13.7 minutes is 2.9 / 7.5.
Similarly, we calculate the probability of the task taking less than 17.3 minutes by finding the difference between 17.3 and 10.8, which is 6.5 minutes.

Then, we divide this by the total range, 7.5 minutes.
So, the probability of the task taking less than 17.3 minutes is 6.5 / 7.5.
Finally, to find the probability of the task taking between 13.7 and 17.3 minutes, we subtract the probability of the task taking less than 13.7 minutes from the probability of the task taking less than 17.3 minutes.
Therefore, the probability that it will require between 13.7 and 17.3 minutes to perform the task is (6.5 / 7.5) - (2.9 / 7.5).

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The solutions to the quadratic equation -6x - 1 + 5x^2 = 8.22 are approximately x = 2.484 and x = -0.984.

To solve the quadratic equation \(-6x - 1 + 5x^2 = 8.22\), we can rearrange it to the standard form of a quadratic equation, which is \(ax^2 + bx + c = 0.\)

By subtracting 8.22 from both sides, the equation becomes 5x^2 - 6x - 9.22 = 0.

To find the solutions, we can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).

In this case, a = 5, b = -6, and c = -9.22.

Substituting these values into the quadratic formula, we get:

x = (-(-6) ± √((-6)^2 - 4 * 5 * (-9.22))) / (2 * 5)

x = (6 ± √(36 + 184.4)) / 10

x = (6 ± √220.4) / 10

Simplifying further, we have:

x = (6 ± 14.84) / 10

This gives us two possible solutions:

x1 = (6 + 14.84) / 10 ≈ 2.484

x2 = (6 - 14.84) / 10 ≈ -0.984

Therefore, the solutions to the quadratic equation -6x - 1 + 5x^2 = 8.22 are approximately x = 2.484 and x = -0.984.

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Positive correlations reflect relationships between variables that are desirable, while negative correlations reflect relationships between variables that are not desirable is a "true" statement.

Two variables which move together, or in the same direction, are said to have a positive correlation.

Some characteristics of positive correlation are-

When two variables have an inverse or negative correlation, one variable rises while the other falls, and vice versa.

Some characteristics of negative correlation are-

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The complete question is-

Positive correlations reflect relationships between variables that are desirable, while negative correlations reflect relationships between variables that are not desirable.(true/false)

The standard form of a quadratic function is:

`f(x) = ax^2 + bx + c`

If the zeros of the function are 3 and 1/2, then the factors of the function are:

`(x - 3)` and `(x - 1/2)`

To find the quadratic function using these factors, you can first multiply them together:

`(x - 3)(x - 1/2) = x^2 - 7/2x + 3/2`

Now we have:

`f(x) = x^2 - 7/2x + 3/2`

This is the quadratic function in standard form that has zeros of 3 and 1/2.

The probability of 3 dying of SIDS in this situation is approximately 0.000227. The number of SIDS cases in this hospital is significantly higher than the expected rate.

a. The probability of 3 infants dying of SIDS in this situation can be calculated using the binomial probability formula:
P(X=k) = C(n,k) * p^k * (1-p)^(n-k)
Where:
P(X=k) is the probability of k successes (SIDS cases) in n trials (infants),
C(n,k) is the number of combinations of n items taken k at a time,
p is the probability of SIDS (0.0001),
n = 100 infants,
k = 3 SIDS cases.
P(3 SIDS cases in 100 infants) = C(100,3) * (0.0001)^3 * (1-0.0001)^(100-3)
After calculating, the probability is approximately 0.000227.

b. In this situation, it is alarming that many infants died of SIDS, as the probability of 3 deaths in 100 infants is very low (0.000227), much lower than the prevalence of 0.01%. This indicates that the number of SIDS cases in this hospital is significantly higher than the expected rate.

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The circulation of F around C is -16. No, F is not equal to V f for some function f. The flux of F across C is -8. No, F is not equal to V x G for any vector field G.

(a) The circulation of F around C is -16.

Using Green's Theorem, we can write the circulation of F as the line integral around the boundary of D:

∮CF · dr = ∬D (∂Q/∂x - ∂P/∂y) dA

where P = 9x + 5y, Q = 2x - 7y, and dr = dx i + dy j.

Taking the partial derivatives, we get:

∂Q/∂x - ∂P/∂y = 2 - 9 = -7.

Thus, the circulation of F around C is:

∮CF · dr = ∬D -7 dA = -7(area of D) = -16.

(b) No, F is not equal to V f for some function f.

If F were equal to the gradient of some scalar function f, then the circulation of F around any closed path would be zero. However, we just calculated that the circulation of F around C is -16, which means F cannot be expressed as the gradient of any scalar function.

(c) The flux of F across C is -8.

Using Green's Theorem, we can write the flux of F across C as the line integral around the boundary of D:

∮CF · ds = ∬D (∂P/∂x + ∂Q/∂y) dA

Taking the partial derivatives, we get:

∂P/∂x + ∂Q/∂y = 9 - 7 = 2.

Thus, the flux of F across C is:

∮CF · ds = ∬D 2 dA = 2(area of D) = -8.

(d) No, F is not equal to V x G for any vector field G.

If F were equal to the curl of some vector field G, then the flux of F across any closed surface would be zero. However, we just calculated that the flux of F across C is -8, which means F cannot be expressed as the curl of any vector field.

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Answer:

D

Step-by-step explanation:

Use the exponents to guide your answer. When we examine -∞, if the exponent is even, it will be a positive value. If it is odd, it will be a negative value. For positive ∞, it doesn't matter whether odd or even, the value will be positive.

So we automatically know as x approaches ∞, y has to be ∞.

But for -∞ it is trickier. You have 3x^6 and 75x^4 together that is positive, and 30x^5 that is negative. The first two is greater than 30x^5 overall, so as x approaches -∞, y also approaches ∞.

If you need a visual, this is what it looks like:

Answer:

(D).

Step-by-step explanation:

f(x) = 3 \(x^{6}\) + 30 \(x^{5}\) + 75 \(x^{4}\)

Domain: - ∞ < x < ∞

Range: y ≥ 0

⇒ The correct answer is the last option.

x ----> - ∞ , y ----> ∞

x ----> ∞ , y ----> ∞

Answer:

Step-by-step explanation:

Corresponding sides have same ratio

Q5

Q6

Q7

The options that apply to the given table of data are; Options C, D & E

Option A: Conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest. Thus, the given statement is not true because it compares the frequency count of the 18 people to a fraction.

Option B: The principle of Independence states that two events A and B are statistically independent if and only if their joint probability can be factorized into their marginal probabilities. This shows principle of independence and so the statement is wrong.

Option C: Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data. Thus, the given statement is correct.

Option D: This statement is true because joint relative frequencies are the values in each category divided by the total number of value.

Option E; This statement is correct because the table shows principle of Independence

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Answer:

x = 103

Step-by-step explanation:

Using the far right intersection, we can figure out that in inner angle is 32 degrees.

32 + 34 = 66 which is the angle of the left side of the middle cross.

x = 37 + 66 = 103

Answer:

angle XYW = -20x + 155

Step-by-step explanation:

angle XYZ = 150

angle WYZ = 20x - 5

angle XYW = y

angle XYZ = 20x - 5 + y

150 = 20x - 5 + y

150 + 5 = 20x + y

y = -20x + 155

So angle XYW = -20x + 155

Answer: B

Step-by-step explanation:

Answer is B

The required method that is popular with the boys is going to school by walking.

A dual bar chart has been given, describing the method of going to school for boys and girls.

A bar chart displays the frequency counts of values for each level of a categorical or nominal variable.

Here,
According to the question,
Number of boys walk = 8,
Number of boys taking the bus = 2
Number of boys with car = 3
number of boys with cycle = 3
So the most popular method among the boys is given as by walk.

Thus, the required method that is popular with the boys is going to school by walking.

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The equation is true for some values of x. The correct answer is (G) some values of x.

Based on the given equation, 2x - 8 / 4x⁻¹ = x² - 4x / 2, we need to determine the values of x for which the equation is true.

To solve this, we can start by simplifying both sides of the equation. Simplifying the left side, we have (2x - 8) / (4 / x) = (x² - 4x) / 2.

Next, we can multiply both sides of the equation by x to get rid of the denominator on the left side. This gives us (2x - 8) * x = (x² - 4x) / 2 * x.

Simplifying further, we have 2x² - 8x = (x² - 4x) / 2 * x.

Multiplying both sides of the equation by 2 to get rid of the fraction on the right side, we get 4x² - 16x = x² - 4x.

Rearranging the equation, we have 3x² - 12x = 0.

Factoring out 3x, we get 3x(x - 4) = 0.

Setting each factor equal to zero, we have 3x = 0 and x - 4 = 0.

Solving for x, we find x = 0 and x = 4.

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Expression: 4*(-12)= -48

-7-6= -13

Equivalent: -12*4= -48

8-(-6)= 14

-3-16= -19

Answer:

m∠1 = 130°

m∠2 = 158°

Step-by-step explanation:

For the given figure, we have;

The measure of angle m∠1 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;

m∠1 = 99° + 31° = 130°

m∠1 = 130°

Similarly, the measure of angle m∠2 is given by the exterior angle theorem as the sum of the two opposite interior angles as follows;

m∠2 = 28° + m∠1 = 28° + 130° = 158°

m∠2 = 158°.

Answer:

Step-by-step explanation:

total type of books are 4 types

the probability of one book is 60

so the probability of type of a book is 4/60=1/15

An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

p=5

Step-by-step explanation:

This is the distributive property:

ab + ac = a (b + c)

In this case, you have

a - a (1.2⁴)

and a is a common factor to both a and a (1.2)⁴, so you can pull it out as

a (1 - 1.2⁴)

Sampling techniques are particularly important in quantitative research studies. In these studies, researchers aim to collect data from a subset of individuals or entities (the sample) to make inferences about a larger population.

Sampling techniques help researchers select participants from the population in an unbiased and systematic manner. By using appropriate sampling methods such as random sampling, stratified sampling, or cluster sampling, researchers can minimize sampling errors and increase the likelihood that the sample represents the characteristics of the population accurately.

By employing sound sampling techniques, researchers can enhance the external validity of their findings, allowing them to make meaningful and reliable generalizations about the larger population.

This is particularly crucial in fields such as public health, social sciences, market research, and opinion polling, where the goal is to draw valid conclusions about the broader target audience based on a representative sample.

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Answer:  type this -2 n + 3 add -2 n + 3 = -4 n + 6

Step-by-step explanation:  the answer is - 2 n + 3

Answer:

The graph is compressed horizontally by a factor of 2, shifted left 3, reflected over the x-axis, and translated up 3.

Step-by-step explanation:

The profit is Rs.4800.

When, in a transaction, the selling price is greater than the cost price, it means we earn a profit. It is calculated with the help of the formula: Profit = Selling price - Cost price.

Given that,

S.P =$6000

C.P = $6000

If, 1$ = Rs.115.4 (in cost price)

  1$ = Rs.116.20 (in selling price)

Then,

C.P =  Rs. 115.40×6000

S.P = Rs.  116.20×6000

Then,

Profit = S.P-C.P

         =  116.20×6000 -115.40×6000

         =  (116.20-115.40)×6000

         = 0.80×6000

         =  Rs.4800

Hence, The profit is Rs.4800.

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(1) if the loan is paid off after 6 years, the interest paid on the loan is $10,800. (2) $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

Simple Interest (S.I.) is a technique for figuring out how much interest will accrue on a specific initial sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a cost of ten p.a. for 2 years, they will pay S.I. on the loaned money for those two years.

(a) Using the straightforward interest calculation, we can determine the amount of interest paid on the debt if it is repaid after six years:

I = Prt

where P represents the loan's capital, r represents the interest rate, and t represents the quantity of time (in years).

P is $30 000, r is 6%, and t is 6 years in this example. With these numbers entered into the algorithm, we obtain:

I = 30,000 * 0.06 * 6 = $10,800

Therefore, if the loan is paid off after 6 years, the interest paid on the loan is $10,800.

(b) To calculate the interest saved by paying off the loan after 3 years instead of 6 years, we can calculate the interest paid in both scenarios and then subtract the interest paid at 3 years from the interest paid at 6 years.

If the loan is paid off after 3 years, the total interest paid can be calculated using the same formula as before:

I = 30,000 * 0.06 * 3 = $5,400

By deducting the interest costs at 3 years from of the interest charged at 6 years, we can determine the amount of interest that would have been paid had the debt been repaid after 3 years:

Interest saved = Interest paid at 6 years - Interest paid at 3 years

= 10,800 - 5,400

= $5,400

Therefore, $5,400 in interest will be conserved if the debt is repaid in 3 years as opposed to 6 years.

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Answer:

\(f(5) = -13t-5\)

Step-by-step explanation:

=> \(f(x) = x^2-13t-30\)

Put x = 5

=> \(f(5) = (5)^2-13t-30\)

=> \(f(5) = 25-30-13t\)

=> \(f(5) = -13t-5\)

Answer:

-13t - 5

Step-by-step explanation:

Put x as 5 and solve for the function.

f(5) = (5)² - 13t - 30

Splve for the exponent.

f(5) = 25 - 13t - 30

Add or subtract like terms.

f(5) = -13t - 5

Step-by-step explanation:

do 100-22.5 and that should be the number

Answer:

D : 125°,125°,55°,55°

Step-by-step explanation:

Finding the interior angles makes the question easier.

The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.

Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.

180°-55° = 125°

180°-125° = 55°

The equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0 is 3x + 2y + z = 8.

We need a point b and a vector v along the line in order to characterize it. We might alternatively begin with the two points a and b and use the formula v = ab.
A point Q and a vector n perpendicular to the plane are required in order to describe a plane. Later on, we'll look at how to get n from various types of information, such as the positions of three points on a plane.

A plane is a flat, endlessly long, two-dimensional surface. A plane is a point with zero dimensions, a line with one dimension, and space with three dimensions in two dimensions. The picture below that is attached shows the answer.

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Question correction:

Find the equation of the plane passing P(1,2,1) and is orthogonal to the two planes: x-y-z-10 = 0, x-2y + z-2=0

The sample variance can be calculated by finding the sum of the squared differences between each data point and the mean, divided by the sample size minus 1.

To calculate the sample variance, we need to follow these steps:

1. Calculate the mean (average) of the data:

Mean = (12 + 10 + 3 + 11 + 7 + 512 + 10 + 3 + 11 + 7 + 5) / 11 = 58.2

2. Calculate the differences between each data point and the mean, and square them:

 (12 - 58.2)^2 = 2080.84

  (10 - 58.2)^2 = 2146.44

  (3 - 58.2)^2 = 3052.04

  (11 - 58.2)^2 = 2114.44

  (7 - 58.2)^2 = 2144.84

  (512 - 58.2)^2 = 194202.24

  (10 - 58.2)^2 = 2146.44

  (3 - 58.2)^2 = 3052.04

  (11 - 58.2)^2 = 2114.44

  (7 - 58.2)^2 = 2144.84

  (5 - 58.2)^2 = 2088.04

3. Sum up the squared differences:

2080.84 + 2146.44 + 3052.04 + 2114.44 + 2144.84 + 194202.24 + 2146.44 + 3052.04 + 2114.44 + 2144.84 + 2088.04 = 218746.76

4. Divide the sum by (n - 1), where n is the sample size (11 in this case):

Sample Variance = 218746.76 / (11 - 1) = 24305.2

Therefore, the value of the sample variance is approximately 24305.2 (rounded to one decimal place).

The sample variance measures the variability or spread of the data points around the mean. In this case, we calculated the sample variance to be approximately 24305.2.

A larger sample variance indicates a greater dispersion of data points from the mean, indicating more variability in the dataset.

Conversely, a smaller sample variance suggests that the data points are closer together and have less variability.

By calculating the squared differences between each data point and the mean, we emphasize the deviations from the mean while eliminating any negative signs.

Summing up these squared differences and dividing by the sample size minus 1 provides an estimate of the population variance based on the sample.

It's important to note that the sample variance is an unbiased estimator of the population variance.

However, when working with small sample sizes, it's recommended to use Bessel's correction (dividing by n - 1 instead of n) to provide a better estimate of the population variance.

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