What is X, the volume, and total surface area?? I hate my math class with a passion so please help me. :(((

Answer: 14.5

Step-by-step explanation: To find the MAD, we first need to find the absolute deviation of each data point from the mean.

The mean is 80, so the absolute deviations from the mean for each data point are:

|59-80| = 21 |64-80| = 16 |65-80| = 15 |69-80| = 11 |72-80| = 8 |72-80| = 8 |74-80| = 6 |77-80| = 3 |77-80| = 3 |78-80| = 2 |78-80| = 2 |83-80| = 3 |85-80| = 5 |85-80| = 5 |86-80| = 6 |88-80| = 8 |94-80| = 14 |96-80| = 16 |98-80| = 18 |100-80| = 20

Next, we find the average of these absolute deviations by adding them up and dividing by the total number of data points:

(21+16+15+11+8+8+6+3+3+2+2+3+5+5+6+8+14+16+18+20)/20 = 14.5

Therefore, the MAD of the test scores is 14.5.

Answer: 3/5 cm

Step-by-step explanation:

Let the length of the base be x. Then, using the formula for the area of a triangle,

\(\frac{3}{25}=\frac{1}{2} \cdot \frac{2}{5} x\\\\\frac{3}{25}=\frac{1}{5}x\\\\x=\frac{3}{5}\)

-4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

The physical concept of temperature indicates in numerical form how hot or cold something is.

A thermometer is used to determine temperature.

Thermometers are calibrated using a variety of temperature scales, which historically defined distinct reference points and thermometric substances.

The most popular scales are the Celsius scale, sometimes known as centigrade, with the unit symbol °C, the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being mostly used for scientific purposes. One of the seven base units in the International System of Units is the kelvin (SI).

The lowest point on the thermodynamic temperature scale is absolute zero, or zero kelvin, or 273.15 °C. It can be very closely approximated experimentally but never actually reached, as stated in the third rule of thermodynamics.

Hence, -4°F is equal to -20°C, or 253°K, which is the temperature above absolute zero. Thus, the temperature at midnight was 759°K, or almost 1400°F.

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Answer:

7f8td5

Step-by-step explanation:

vygycft7d5rdrxerdrcfgvtvct7v

The mean of the sampling distribution is 0.63 and the standard error of the distribution is approximately 0.0513.

Firstly, the mean of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the expected value of a binomial distribution. Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the mean of the distribution as follows: mean = n * p
= 92 * 0.63
= 57.96
Therefore, the mean of the sampling distribution is approximately 57.96.

The standard error of the sampling distribution for the proportion of patients cured by the drug can be calculated using the formula for the standard deviation of a binomial distribution. The standard deviation of a binomial distribution is given by the formula: standard deviation = sqrt(n * p * (1 - p)). Given that the efficacy of the drug is 0.63 and the sample size is n = 92, we can calculate the standard error of the distribution as follows: standard error = sqrt(n * p * (1 - p)) / n
= sqrt(92 * 0.63 * 0.37) / 92
= 0.056
Therefore, the standard error of the sampling distribution is approximately 0.056.

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If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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893.2638

is this what you mean?

Answer:

10

Step-by-step explanation:

-15+10=-5

Answer:

7%

Step-by-step explanation:

(15/220) x 100 = 6. 8182 = 7%

to convert to percentage multiply by 100

To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6

answer is b.Step-by-step explanation:

Answer:

9m

Step-by-step explanation:

yw

Answer:

My best guess is 24

Step-by-step explanation:

idk if this is right or not, but the triangle could be a 3 4 5 right triangle.

3 x 2 = 6

4 x 2 = 8

5 x 2 = 10.

6 + 8 + 10 = 24

this is the best answer i got. Don't know if it's going to help...

The particle is speeding up over the time interval (10/6, ∞).

The particle is speeding up when its acceleration is positive, which occurs when its second derivative is greater than 0. The second derivative of x (t) is 6t - 10, so the particle is speeding up when t > 10/6. Therefore, the particle is speeding up over the time interval (10/6, ∞).

To calculate this, we take the second derivative of x (t):

x''(t) = 6t - 10

We then set this equal to 0 and solve for t

6t - 10 = 0

t = 10/6

Therefore, the particle is speeding up over the time interval (10/6, ∞).

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*see attachment for the figure

Answer:

x = 17 cm

Step-by-step explanation:

Total surface area of triangular prism = bh + L(s1 + s2 + s3)

Where,

Total surface area = 456 cm²

b = 8 cm

h = 6 cm

s1 = √(8² + 6²) = 10 cm (pythagorean theorem)

s2 = 8 cm

s3 = 6 cm

L = x

Plug in the values

465 = 8*6 + x(10 + 8 + 6)

465 = 48 + x(24)

465 - 48 = 24x

417 = 24x

417/24 = x

17.375 = x

x = 17 cm (approximated)

The probability of getting strawberry is 11/60. The correct option is d.

To determine the probability of getting strawberry, we need to consider the probabilities of all the possible flavors and calculate the probability of strawberry using the information given.

Given probabilities:

Probability of getting cherry = 1/5

Probability of getting orange = 1/4

Probability of getting lemon = 1/3

Since there are only four flavors in total, we can calculate the probability of getting strawberry by subtracting the sum of the probabilities of cherry, orange, and lemon from 1.

Probability of getting strawberry = 1 - (1/5 + 1/4 + 1/3)

To simplify the calculation, we find a common denominator for 5, 4, and 3, which is 60.

Probability of getting strawberry = 1 - (12/60 + 15/60 + 20/60)

                                 = 1 - 47/60

                                 = 13/60

Therefore, the probability of getting strawberry is indeed 13/60, which corresponds to option d) 11/60 in the given list of options.

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If cholesterol level were changed to being measured in grams instead of milligrams, the correlation between fat content and cholesterol level would not be affected.

This is because correlation is a measure of the strength and direction of the linear relationship between two variables, and converting the units of measurement does not change the underlying relationship between the variables. So, the correlation coefficient of 0.75 would remain the same whether cholesterol level is measured in milligrams or grams.

The correlation between fat content and cholesterol level for the 20 different brands of American cheese slices is 0.75. If you change the measurement of cholesterol level from milligrams to grams (1 gram = 1000 milligrams), it will not affect the correlation. The correlation coefficient will remain 0.75, as it is unit-less and only represents the strength and direction of the relationship between the two variables.

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Answer:

79

Step-by-step explanation:

The difference between 79 and 22 is 57. 79 is THE number. All you have to do is add 22 and 57 because the answer you get would ALWAYS have one of the numbers added as the difference.

Answer:

F = \(\frac{9}{5}\) C + 32

Step-by-step explanation:

Given

C = \(\frac{5}{9}\) (F - 32)

Multiply both sides by \(\frac{9}{5}\) to clear the fraction

\(\frac{9}{5}\) C = F - 32 ( add 32 to both sides )

\(\frac{9}{5}\) C + 32 = F

Answer:

Only child = 12 students

Step-by-step explanation:

Given information,

→ Total students = 32

→ Having siblings = 5/8

Fraction of only child,

→ 1 - (5/8)

→ (8 - 5)/8

→ 3/8

Now we have to,

→ Find number of only child.

Let's solve the problem,

→ 32 × (3/8)

→ (32 × 3)/8

→ 96/8

→ 12 students

Hence, the answer is 12.

Answer:

B

Step-by-step explanation:

9 - 3 = 6

6 ÷ -2

= -3

I think it's b

Answer:

(C)On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis.

Step-by-step explanation:

In the coordinate plane, an angle is said to be in standard position when its value is stated with respect to the x-axis.

Therefore, for an angle to be in a standard position, one of its rays must be on the x-axis.

From the given options, only Option C has a ray that sits on the x-axis. Therefore, it is the only angle in standard position.

Answer:

C

Step-by-step explanation:

The order of the polynomial used to generate the data is likely greater than 4.

The question asks to use Newton's interpolating polynomials of order 1 through 4 to calculate f(4) for the given set of data. The results are:

P1(4) = 9

P2(4) = 28

P3(4) = 43

P4(4) = 62

None of these calculated values match the actual value of f(4) = 31, which suggests that the order of the polynomial used to generate the data is likely greater than 4.

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Answer:

3

Step-by-step explanation:

Evaluate F(x) = –x^2 – 4x by substituting -1 for x:

              F(-1) = –(-1)^2 – 4(-1)

This becomes:

               F(x) = –1 + 4  =  3

Answer:

y= -1/3x-6

Step-by-step explanation:

The slope is rise over run

The y-intercept is the point where the line crosses the y-axis.

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Answer: y=.25x-6

Step-by-step explanation: find the slope with \(m=\frac{y2-y1}{x2-x1}\) and make it \(m=\frac{-6+7}{0-4} =1/4\) or .25

then, convert to y=mx+b form which would be \(y=\frac{1}{4}x-6\) or \(y=.25x-6\)

b standing for y intercept and m standing for slope.

There is a high probability that Somil will be assigned at least one of his preferred topics.

To calculate the probability of Somil getting at least one of his preferred topics, we can use the complement rule. That is, we calculate the probability of Somil not getting any of his preferred topics and then subtract that probability from 1.

Let's first calculate the total number of ways to assign the topics to the students. We can think of this as distributing 34 distinct objects (the topics) into 9 distinct groups (the students), where each group gets 3 objects. We can use the multinomial coefficient formula to compute this:

C(34, 3, 3, 3, 3, 3, 3, 3, 3) = (34!)/(3!)^9

where C(n, k1, k2, ..., km) denotes the multinomial coefficient, which is the number of ways to divide n distinct objects into m groups with k1, k2, ..., km objects in each group.

Next, let's calculate the number of ways to assign the topics such that Somil does not get any of his preferred topics. We can think of this as first choosing 5 topics that Somil does not want, and then distributing the remaining 29 topics among the 9 students. The number of ways to choose 5 topics out of 29 is C(29, 5), and the number of ways to distribute the remaining 29 topics among 9 students is C(29, 3, 3, 3, 3, 3, 3, 3, 2) (since 2 topics are already assigned to Somil). Therefore, the total number of ways to assign the topics such that Somil does not get any of his preferred topics is:

C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)

To calculate the probability of this event, we divide the above expression by the total number of ways to assign the topics:

P(Somil does not get any preferred topic) = [C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)] / [(34!)/(3!)^9]

Finally, we can use the complement rule to find the probability that Somil gets at least one of his preferred topics:

P(Somil gets at least one preferred topic) = 1 - P(Somil does not get any preferred topic)

Plugging in the values, we get:

P(Somil gets at least one preferred topic) = 1 - [C(29, 5) * C(29, 3, 3, 3, 3, 3, 3, 3, 2)] / [(34!)/(3!)^9]

This evaluates to approximately 0.782, or 78.2%. Therefore, there is a high probability that Somil will be assigned at least one of his preferred topics.

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The volume of a cylinder with radius r and height h is given by:

For r = 6 cm and h = 17.6 cm, we have:

V=1990.5 cm³

Therefore, a total of 1990.5*0.063 = 125.4 grams of the trace elemente was collected by Savannah

Answer:

Step-by-step explanation:

Pi squared

Answer:

9.86960440109

Step-by-step explanation:

3.14159265359 x 3.14159265359

Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.

Here,

The slope of the line that contains side TU can be found by using the slope formula:

slope = (change in y)/(change in x)

For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:

slopeTU = (2)/(2)

= 1

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