You spin a spinner numbered from 1 to 5 and spin another spinner with the colors blue, orange, yellow, green, and red. How many possible outcomes are in the sample space?

For shape A the area to volume ratio is 101: 66

For shape B the area to volume ratio is 197117.7 : 207034

For shape C the area to volume ratio is 202.71 : 529.2

The area is the amount of space occupied by a two-dimensional flat object in a plane. Volume is defined as the space occupied by a three-dimensional object. The unit of area is in square units. The unit of volume is in cubic units.

For shape A, the area = 2(lh+lb+bh)

= 2( 2×12+12×5.5+5.5×2)

= 2 ( 24+ 66+ 11)

= 2 ( 101)

= 202m²

The volume of shape A = l×b×h = 2× 12× 5.5 = 132m³.

Therefore the ratio of area to volume of shape A = 202:132 = 101: 66

For shape B

The area of the cylinder = 2πr(r+h)

= 2×3.14× 28( 28+84.1)

= 197117.7m²

The volume of the cylinder =πr²h = 3.14×28²×84.1

= 207034

Therefore the ratio of area to volume = 197117.7 : 207034

in the third shape

The area = ½bh×2 + lb+lh+bh

=6.8×7.5+ 7.2×6.8+ 7.2×7.5+ 7.5×6.8

= 48.75+48.96+54+51 = 202.71

The volume of the shape= base area × height

= 7.2×6.8×7.5

= 529.2m⅗

Thereore the area to volume ratio is 202.71:529.2

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The coordinates of point T exists (0,5) and the midpoint of ST is (5,-2) then the coordinates of point T is S(10, -9).

Use midpoint formula and assume S(x, y):

(0 + x)/2 = 5

⇒ x / 2 = 5

⇒ x = 10

(5 + y)/2 = -2

⇒ 5 + y = -4

⇒ y = -4 - 5

⇒ y = -9

The complete question is:

The coordinates of point T are (0,5). The midpoint of ST is (5,-2). Find the coordinates of point S.​

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Answer:

The answer is B food pryamid, I did this question already.

Step-by-step explanation:

Answer:

2.5 pounds per year

Step-by-step explanation:

In this situation, we're looking at a linear change and a graph, and as such we'll just need to find the slope as in a linear graph that tells us how much the change is between two points and will be our rate here.

1 - Get your variables laid out

Because we're looking for a per year rate, its weight/year and thus because we need to find the change in y over the change in x then:

x = Years

y = Weight

2 - Find the slope

\(Slope = m = \frac{rise}{run} = \frac{change~in~y}{change~in~x} = \frac{y_2-y_1}{x_2-x_1} = \frac{175-145}{2018-2006} = \frac{30}{12}\)

3 - Find the rate of change

Sallys dog gained 30 pounds over 12 years. The rate of change is pounds/year which is 30/12

30/12 = 2.5 pounds per year

Hope this helps :)

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

Answer:

2009.6 in²

Step-by-step explanation:

The surface area, SA of a cone is obtained using the formular :

SA = πr² + πrl

Where ; r = Radius = 20 inches ; l = slant height = 12 inches

SA = π*20² + π*20*12

SA = 400π + 240π

Take π = 3.14

SA = (400*3.14) + (240*3.14)

SA = 1256 + 753.6

SA = 2009.6 in²

all you need to do is 4000÷25=160

The linear equation in slope-intercept form is: y = 25x + 4000.

The linear equation in slope-intercept form to compute the total cost, y, for 1 month if x service calls are made can be written as:

y = mx + b

m represents the slope of the line, which represents the cost per service call.

Since each service call costs the company $25, the slope (m) is 25.

b represents the y-intercept, which represents the fixed monthly cost. In this case, the fixed monthly cost is $4000.

Therefore, the linear equation in slope-intercept form is: y = 25x + 4000

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Answer:

5(u - 3)

Step-by-step explanation:

5u - 15

5(u - 3)

Answer:

5 (u - 3)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

Answer:

\(10j \leqslant 130\)

\(j \leqslant 13\)

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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The probability that a randomly selected customer will have to wait between 10 minutes and 14 minutes is given as follows:

0.4772 = 47.72%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for this problem are given as follows:

\(\mu = 10, \sigma = 2\)

Then the probability is given by the p-value of Z when X = 14 subtracted by the p-value of Z when X = 10.

Z = (14 - 10)/2

Z = 2

Z = 2 has a p-value of 0.9772.

Z = (10 - 10)/2

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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Answer:

$30.69

Step-by-step explanation:

22.32/ 8 = 2.79

11 x 2.79 = 30.69

The value of the standard error of the estimate is 244.052 rounded to three decimal places.

Given that:x i= 2691320y i = 91772624

We are to determine the value of the standard error of the estimate.

The standard error of the estimate is given by: SE =√((Σ(y-ŷ)²)/n-2)

where; Σ(y-ŷ)² = Sum of squared differences between predicted and actual y values.

ŷ= Predicted value of y.

n = Sample size.

Substituting the given values into the above formula:

SE = √((Σ(y-ŷ)²)/n-2)SE = √(((91772624- 64.51639(2691320 + 0.01093(91772624)))²)/(2))SE = 244.052

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The present value, or the amount Jerry would need to deposit today, is approximately $47,120.23.

To calculate the amount Jerry would need to deposit today, we can use the formula for present value:

Present Value = Future Value / (1 + Interest Rate)ⁿ

Where:

Future Value is $85,000

Interest Rate is 8% (or 0.08 as a decimal)

n is the number of years, which is 9

Plugging in these values into the formula, we have:

Present Value = $85,000 / (1 + 0.08)⁹

Simplifying the expression:

Present Value = $85,000 / (1.08)⁹

Calculating this expression using a calculator or spreadsheet software, we find that the present value, or the amount Jerry would need to deposit today, is approximately $47,120.23.

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The 25th percentile of the data is represented by the 0 to 1 hour range.

48 speakers, or around 25% of the total of 192 speakers, are present.

According to the graph, 60 presenters gave presentations that lasted between 0 and 1 hours.

This means that 48 is between0 and1.

A score that compares a certain score to the scores of the other group members is known as a percentile. It shows the percentage of scores that a particular score outperformed.

A person's performance is gauged by using the percentile calculation to compare it to others. A student's test score is compared to that of other applicants using the percentile approach.

Therefore, the 0 to 1 hour period contains the data's 25th percentile.

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The representation of did sign decimal integers in 8-bit binary (two's complement) -16 =  11110000.

The correct option is C.

A maximum of 256 values, or 0 through 255, can be represented by 8 bits. The total number of states that may be represented and the number of bits in a binary number are both listed in Table 5.1. G = gigabits; K = kilobits; M = megabits; 1,048,576 = gigabits; 1,0737,41,824 = kilobits.

The most common number of bits in a byte is eight. A byte is a unit of digital information. The byte is indeed the smallest addressable unit of recollection in many computer architectures because historically, a single character of text was encoded in a computer using a byte's worth of bits.

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What is the 8-bit binary (two's-complement) representation of signed decimal integers -16?

A. 11111011

B. 11010110

C. 11110000

D. 10111000

The equation of the line that passes through the point (5,3) and has a slope of -4/5 is,

⇒ 4x + 5y = 35

Here,

The given point is (5, 3) and slope is -4/5.

We have to find the equation of the line that passes through the point (5,3) and has a slope of -4/5.

What is Equation of line?

The equation of the line that passes through the point (a, b) and has a slope of m is;

⇒y - a = m (x - b)

Now,

The given point is (5, 3) and slope is -4/5.

Hence, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is;

y - 3 = -4/5 (x - 5)

5 (y - 3) = -4 (x - 5)

5y - 15 = -4x + 20

4x + 5y = 20 + 15

4x + 5y = 35

Therefore, The equation of the line that passes through the point (5,3) and has a slope of -4/5 is

⇒ 4x + 5y = 35.

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Answer:

(8,7)

Step-by-step explanation:

Because our x-value for this ordered pair is 1, and it says to move to the right 7 units, 1+7 = 8. Therefore, our x-value for the ordered pair would be 8.

Because our y-value for this ordered pair is 6, and it says to move up 1 unit, 6+1=7. Therefore, our y-value for the ordered pair would be 7.

Once we have our x- and y-value, we can set up the ordered pair:

(8,7)

Answer:

(7, 8)

Step-by-step explanation:

In the picture below, when the point is moved up, it only changes the y part of the point, and the x part is kept the same. When the point is moved right by 7 units, the x part is changed while the y part is kept the same.

Hope this helps.

The correct equation is p - 53 = 118.

⇒ p - 53 = 118

Therefore, the correct equation is p - 53 = 118.

Using Horner's algorithm P(4) = 946

Horner's algorithm is a fast and efficient way to evaluate a polynomial at a particular point. It involves using the distributive property of multiplication to rewrite a polynomial in a nested form, then evaluating the polynomial from the inside out.

Given that, p(z) = 3z⁵ - 7z⁴ - 5z³ + z² - 8z + 2

Using Horner's algorithm, we show the equation like:

p(z) = ((((3z - 7)z - 5)z + 1)z - 8)z +2

p(4) = ((((3*4 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((((12 - 7)4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((5*4 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = (((20 - 5)4 + 1)4 - 8)4 + 2

⇒ p(4) = ((15*4 + 1)4 - 8)4 + 2

⇒ p(4) = ((60 + 1)4 - 8)4 + 2

⇒ p(4) = (61*4 - 8)4 + 2

⇒ p(4) = (244 - 8)4 + 2

⇒ p(4) = 236*4 + 2

⇒ p(4) = 944 + 2

⇒ p(4) = 946

Finding the Taylor series expansion of p(z) about z0 = 4:

To find the Taylor series expansion of p(z) about z0 = 4, we need to compute the derivatives of p(z) at z0 = 4. First, we compute p'(z) = 6z^2 - 28z^3 - 10z^2 + 2z - 8, then p''(z) = 12z - 84z^2 - 20z + 2, p'''(z) = 12 - 168z - 20, and so on.

Using these derivatives, we can write the Taylor series expansion of p(z) about z0 = 4 as follows:

p(z) = p(4) + p'(4)(z - 4) + p''(4)(z - 4)^2/2! + p'''(4)(z - 4)^3/3! + ...

Substituting in the values we computed, we get:

p(z) = 946 + 10(z - 4) - 41(z - 4)^2/2! - 14(z - 4)^3/3! + ...

Therefore, the Taylor series expansion of p(z) about z0 = 4 is:

p(z) = 946 + 10(z - 4) - 20.5(z - 4)^2 - 2.333(z - 4)^3 + ...

Using Newton's method to find a root of p(z):

To use Newton's method to find a root of p(z), we start with an initial guess z0 = 4 and iterate the formula z1 = z0 - p(z0)/p'(z0) until we reach a desired level of accuracy.

We already computed p'(z) in part 2, so we can use the formula to compute z1 as follows:

z1 = z0 - p(z0)/p'(z0)

= 4 - (946 + 10(4) - 20.5(4 - 4)^2 - 2.333(4 - 4)^3)/[6(4)^4 - 28(4)^3 - 10(4)^2 + 2(4) - 8]

= 3.46874

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The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

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Answer:

25 × 60 (1 minute) × 60 (1 hour) = 90,000 meters/hour

90,000 converted into miles is 55.923

Answer:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

Step-by-step explanation:

{(-3,-4), (-4,-3), (3, 4), (4,3)}

because x should not be the same in more than one pair

To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

In this case, the function has a fraction with a square root in the denominator, so the domain is all real numbers except for those values of x that would make the denominator equal to zero.

The denominator of the fraction is √(x^2 - 4x + 5), which is equal to zero when x^2 - 4x + 5 = 0. This is a quadratic equation that can be solved using the quadratic formula, which gives us two solutions: x = (4 ± √(4^2 - 4(1)(5))) / (2 * 1) = (4 ± √(-16)) / 2 = (4 ± 4i) / 2

Since the square root of a negative number is not a real number, the solutions are not real numbers. This means that the denominator is not equal to zero when x = 4 ± 4i. Therefore, the domain of the function is all real numbers except x = 4, which is the only excluded value. So, the domain of the function is (-∞, 4) U (4, ∞).

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