Cost per serving (in cents) for six high-fiber cereals rated very good and for nine high-fiber cereals rated good by a magazine are shown below.
Cereals Rated Very Good 47 49 64 42 19 76
Cereals Rated Good 72 30 53 53 69 43 48 27 54
Combining the cost-per-serving data for high-fiber cereals rated very good and those rated good from above gives the following data set. 47 49 64 42 19 76 72 30 53 53 69 43 48 27 54
(a) Compute the quartiles and the interquartile range for this combined data set.
lower quartile =
upper quartile =
interquartile range =
(b) Compute the interquartile range for just the cereals rated good.
Show me the steps please

Answer:

0.5.

Step-by-step explanation:

Answer c

Step-by-step explanation:

Answer:

D. 75%

Step-by-step explanation:

Divide 69 by 92 and you will get 0.75, move the decimal to the right two times. and there is your answer.

To find the sum and carry for this function on a truth table, we must first complete the truth table by computing the function's values for all possible inputs.

The given function is\(Q = (X*2) + (Y/2) + Z\)

Here's the truth table:X Y Z Q0 0 0 00 0 1 10 1 0 20 1 1 31 0 0.5 1.51 0 1 21 1 0.5 3.5 1 1 3

From the truth table above, we can see that the sum of Q for all eight input combinations is 12.

To find the carry, we will need to determine the maximum output value for the given function.

We can observe that the highest output value is 3.5.

Therefore, there is no carry for this function since the highest output value is less than four.

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The probability of throwing an odd number with a normal dice is 1/2

When rolling a normal six-sided B, there are six equally likely outcomes: 1, 2, 3, 4, 5, and 6. Out of these six numbers, three of them (1, 3, and 5) are odd numbers. Thus, there are three favorable outcomes (odd numbers) out of a total of six possible outcomes.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes. In this case, the probability of throwing an odd number is 3/6, which simplifies to 1/2.

This means that there is a 50% chance of rolling an odd number with a normal six-sided die. In other words, if you roll the die many times, you can expect that approximately half of the outcomes will be odd numbers.

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Step-by-step explanation:

The graph that represents all values of x such that x > -3 and x < 2 is the graph of a vertical line segment located between -3 and 2 on the x-axis, but excluding these two points. This can be represented graphically as:

|

|

|

---------x---------

|

|

|

-3 2

Here, the open circles indicate that the points -3 and 2 are not included in the range of values for x.

Answer:

the unit cost per rubber tile is $$$$$$$$$$$$$6

Step-by-step explanation:

..

If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

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To find rank of mark

From the given options 1st option is correct

both 1 and 2 need

Given statements are

1. there are 45 students in class.

2. 12 students scored less than mark.

we need both 1 and 2 statements to find the rank of mark

without knowing the class strength we cannot find the rank of marks

and we should also know that how many students have scored less than mark in 2nd statement it is given that 12 students scored less than mark.

from the given options 1st option is correct

both 1 and 2 need

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Answer:

A = 8 km^2

B = 12 km

Step-by-step explanation:

Answer:

hour 3 to hour 4

Step-by-step explanation:

that is where the slope is the least steep

Answer:

x=1 and y=7

Step-by-step explanation:

7x−2y=−7;y=7

Rewrite equations:

y=7;7x−2y=−7

Step: Solve y = 7 for y:

y=7

Steps: Substitute 7 for y in 7x−2y=−7:

7x−2y=−7

7x+(−2)(7)=−7

7x−14=−7 (Simplify both sides of the equation)

7x−14+14=−7+14 (Add 14 to both sides)

7x=7

7x/7 = 7/7 (Divide both sides by 7)

x = 1

So the answer is, x=1 and y=7

The signal detection limit for thallium is approximately 16.39 dimensionless units. The concentration detection limit is approximately \(4.79 × 10^−9 M\). The lower limit of quantitation for thallium is approximately \(1.40 × 10^−9 M\).

The signal detection limit is the smallest signal that can be reliably distinguished from the background noise. To estimate the signal detection limit for thallium, we can use the mean reading of the blanks and the standard deviation of the blank measurements.

The mean reading of the blanks is given as 56.1. The standard deviation of the blank measurements can be calculated using the formula:

\(\[ \sigma = \sqrt{\frac{\sum(x_i - \bar{x})^2}{n-1}} \]\)

where \(\sigma\) is the standard deviation, \(x_i\) is the individual measurement, \(\bar{x}\) is the mean reading, and \(n\) is the number of blank measurements.

Given that there are ten blank measurements, we can calculate the standard deviation as follows:

\(\[ \sigma = \sqrt{\frac{(x_1 - \bar{x})^2 + (x_2 - \bar{x})^2 + \ldots + (x_{10} - \bar{x})^2}{9}} \]\)

Next, we multiply the standard deviation by a factor, typically three, to estimate the signal detection limit. In this case, let's assume a factor of three.

Signal detection limit = 3 × standard deviation

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Answer:

1/5

Step-by-step explanation:

For Monday

The fraction of homework Chain completed =

40% of her homework

= 40% = 40/100

= 2/5

For Tuesday

The amount of home work left =

= 1 - 2/5

3/5

The fraction of homework Chain completed on Tuesday = 2/3

= 2/3 Of 3/5

= 2/3 × 3/5

= 2/5

Let the total complete homework be represented by 1

Hence:

The Fractional part of her homework left for her to complete after Tuesday =

1 - (2/5 + 2/5)

Lowest common denominator is 5

= 1 - (2 + 2/5)

= 1 - (4 /5)

= 1/5

Step-by-step explanation:

Find the diagram to the question attached.

From the diagram, we are given the following dimension for one of the beds;

Length = 16cm

Width = 8cm

If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;

2cm = 1ft

16cm = x fr

cross multiply

2x = 16

x = 8ft

Hence 16cm = 8ft (based on the scale)

Similarly:

2cm = 1ft

8cm = x fr

cross multiply

2x = 8

x = 4ft

Area of the garden bed (in feet) = Length * Width

Area of the garden bed = 8ft * 4ft

Area of the garden bed = 32ft²

Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.

Marcella's average speed can be found by dividing the constant 9.50 by the coefficient 0.4. This gives a result of 23.75 feet per second.

The equation can be interpreted as the equation of a line, with the y-intercept at 9.50 and a slope of 0.4. The y-intercept can be thought of as the starting point for the line, and the slope can be thought of as the rate at which the line is increasing. To find Marcella's average speed, we need to divide the y-intercept (9.50) by the slope (0.4). This gives a result of 23.75 feet per second. This means that Marcella's average speed is 23.75 feet per second. This result can be interpreted as the average speed at which Marcella is traveling over the course of the race.

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The mean of Y(n) is 0.

The mean of Z(n) is 0.

The variance of Y(n) is σ²/2.

The variance of Z(n) is (4/9)σ²/2.

Let's calculate the mean, variance, and covariance of Y(n) and Z(n) based on the given moving average processes.

Mean:

The mean of Y(n) can be calculated as:

E[Y(n)] = E[1/2(X(n) + X(n-1))]

Since X(n) is an IID(0,σ²) random variable, its mean is zero. Therefore, E[X(n)] = 0. We can also assume that X(n-1) is independent of X(n), so E[X(n-1)] = 0 as well. Hence, the mean of Y(n) is:

E[Y(n)] = 1/2(E[X(n)] + E[X(n-1)]) = 1/2(0 + 0) = 0.

Similarly, for Z(n):

E[Z(n)] = E[(2/3)X(n) + (1/3)X(n-1)]

Using the same reasoning as above, the mean of Z(n) is:

E[Z(n)] = (2/3)E[X(n)] + (1/3)E[X(n-1)] = (2/3)(0) + (1/3)(0) = 0.

Variance:

The variance of Y(n) can be calculated as:

Var(Y(n)) = Var(1/2(X(n) + X(n-1)))

Since X(n) and X(n-1) are independent, we can calculate the variance as follows:

Var(Y(n)) = (1/2)²(Var(X(n)) + Var(X(n-1)))

Since X(n) is an IID(0,σ²) random variable, Var(X(n)) = σ². Similarly, Var(X(n-1)) = σ². Hence, the variance of Y(n) is:

Var(Y(n)) = (1/2)²(σ² + σ²) = (1/2)²(2σ²) = σ²/2.

For Z(n):

Var(Z(n)) = Var((2/3)X(n) + (1/3)X(n-1))

Using the same reasoning as above, the variance of Z(n) is:

Var(Z(n)) = (2/3)²Var(X(n)) + (1/3)²Var(X(n-1)) = (4/9)σ² + (1/9)σ² = (5/9)σ².

To calculate the covariance between Y(n) and Z(n), we need to consider the relationship between X(n) and X(n-1). Since they are assumed to be independent, the covariance is zero. Hence, Cov(Y(n), Z(n)) = 0.

The mean of Y(n) and Z(n) is zero since the mean of X(n) and X(n-1) is zero. The variance of Y(n) is σ²/2, and the variance of Z(n) is (4/9)σ²/2. There is no covariance between Y(n) and Z(n) since X(n) and X(n-1) are assumed to be independent.

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The answer obtained from multiplying the measurements 64.49 and 6.57 is 423.70.

According to the rules governing significant figures, the result of a multiplication or division should have the same number of significant figures as the measurement with the fewest significant figures.

In this case, both measurements, 64.49 and 6.57, have four significant figures each. When multiplied together, the result is 423.6993. However, since the measurement 6.57 has the fewest significant figures, the final answer should be rounded to match that.

Therefore, the answer is rounded to three decimal places, resulting in 423.700. The zero at the end is included to indicate that the measurement is known to that level of precision.

Hence, considering the rules of significant figures, the answer obtained from multiplying the measurements 64.49 and 6.57 is 423.700.

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Answer: 8.4

Step-by-step explanation: 5.25 divided by 5 is 1.05. So 1.05 x 8 is 8.4

Final Answer: \(g = 1\)

Steps/Reasons/Explanation:

Question: How do you solve \(-3 + 5 +6g = 11 - 3g?\)

Step 1: Simplify \(-3 + 5 + 6g\) to \(6g + 2\).

\(6g + 2 = 11 - 3g\)

Step 2: Subtract \(2\) from both sides.

\(6g = 11 - 3g - 2\)

Step 3: Simplify \(11 - 3g - 2\) to \(-3g + 9\).

\(6g = -3g + 9\)

Step 4: Add \(3g\) to both sides.

\(6g + 3g = 9\)

Step 5: Simplify \(6g + 3g\) to \(9g\).

\(9g = 9\)

Step 6: Divide both sides by \(9\).

\(g = 1\)

~I hope I helped you :)~

Answer:

4

Step-by-step explanation: If this regarding the splitting of two polynomials put through the pyth theorem.

The private spilled 0.35 litres of fuel

The first step is to convert 6.5 hectolitres to litres

= 6.5 × 100

= 650 litres

Next is to convert millilitres to litres

= 350/1000

= 0.35 litres

Hence the number of litres spilled is 0.35 litres

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Answer:

12⁽¹⁸⁾

Step-by-step explanation:

The expression is given as ;

12³ × 12⁹× 12⁴× 12²  -----same base, add the powers according to law of indices

12⁽³⁺⁹⁺⁴⁺²⁾  

12⁽¹⁸⁾

Answer:

e or 12¹⁸

Step-by-step explanation:

\( { (3b + 2a)}^{2} = 9 {b}^{2} + 12ab + 4 {a}^{2} \)

Answer:

1.5

Step-by-step explanation

Answer:

yes

Step-by-step explanation:

The word linear is used for a straight line. A linear function is a function of a straight line, which means that the degree of a linear function must be 0 or 1 . In this case, The degree of f(x)=2x−3 f ( x ) = 2 x - 3 is 1 , which makes the function a linear function.

The cost to fill the 8-meter tank is $5,200.

To find the cost to fill a tank with an 8-meter diameter, we can use the concept of similarity between the two tanks.

The ratio of the volumes of two similar tanks is equal to the cube of the ratio of their corresponding dimensions. In this case, we want to find the cost to fill the larger tank, so we need to calculate the ratio of their diameters:

Ratio of diameters = 8 m / 4 m = 2

Since the ratio of diameters is 2, the ratio of volumes will be 2^3 = 8.

Therefore, the larger tank has 8 times the volume of the smaller tank.

If the cost to fill the 4-meter tank is $650, then the cost to fill the 8-meter tank would be:

Cost to fill 8-meter tank = Cost to fill 4-meter tank * Ratio of volumes
                          = $650 * 8
                          = $5,200

Therefore, the cost to fill the 8-meter tank is $5,200.

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The statement that , "The set Span{u,v} is always visualized as a plane through the origin" is False because if vectors are scalar multiples of each other, then set Span{u,v} is a line through origin .

The set Span{u,v} is defined as the set of all linear combinations of vectors "u" and "v" . This set can be visualized as a plane in three-dimensional space if the vectors are not scalar multiples of each other.

The plane may not necessarily pass through the origin, unless one of the vectors is the zero vector .

If the vectors are scalar multiples of each other, then the set Span{u,v} is a line through the origin, and if one of the vectors is the zero vector, then the set Span{u,v} is a plane through the origin.

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FALSE. The number of dots in a dotplot of a bootstrap distribution is equal to the size of the bootstrap sample, not the original sample.

In a bootstrap analysis, multiple samples of the same size are drawn from the original sample with replacement, creating a distribution of sample statistics. The dotplot of this distribution represents the frequency of the sample statistics and can help us understand the variability of the original sample.

The number of dots in the dotplot reflects the number of bootstrap samples, which can be much larger than the original sample size. Therefore, the number of dots in the bootstrap distribution can be different from the size of the original sample.

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Answer:

Step-by-step explanation:

if this much has help you

please fillowww me yrr

The value of x is 7. Therefore, the point on the line will be (7, 3).

The given points on the line are R(-5, -3), S(-1, -1) and T(x, 3).

The number of points required to find the equation of the line is 2.

The slope, m, of the line using points R(-5, -3) and S(-1, -1) is given as follows;

m = (-1+3)/(-1+5)=1/2

The equation of the line in slope and point form, using point S(-1, -1) is, therefore;

y +1= (1/2)(x +1) = 2y+2=x+1

Put T(x, 3) in 2y+2=x+1, that is 6+2=x+1

so, x=7

Therefore, the value of x is 7.

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The construction correctly finds the best location of the warehouse is shown in option C (Construction Y because point E is the circumcentre of triangle LMN and due to its exact equidistant location from the three stores at L, M, and N, Point E is the ideal location for the warehouse.)

The location that is equally spaced from the three vertices and where the perpendicular bisectors of a triangle's sides intersect.

Calculation for distance of the three stores from warehouse:

Precisely one circle crosses through all three, which are all on the same line. Finding the centre of the circle that goes through all three of the points is equivalent to finding the point that is equally distant from each of the three points (since all points on a circle are equidistant from the centre).

L, M, and N are our points. To create the triangle, draw the lines LM, LN, and MN. The junction of any two of the lines' perpendicular bisectors, point E, will serve as the circle's centre.

Due to the fact that E is the triangle's LMN's circumcenter, as demonstrated in Construction Y.

Therefore, given that it is precisely equidistant between the three stores at L, M, and N, this is the optimal location for the warehouse.

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Answer:

the answer is C.

Step-by-step explanation:

construction X, because point E is the circumcenter of angle LMN.