Find the surface area of a rectangular prism with a height of 16 feet, a width of 10 feet, and a length of 13 feet.

Since, the department contains 11 men and 20 women . thus, there are 378165 number of ways to form a committee with 6 members if it must have strictly more women than men.

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as selections. According to the basic principle of counting, there are summation rules and multiplication rules to make counting easier.

We know that:

\(^nC_r = \frac{n!}{r!(n-r)!}\)

Now, from n = 11 men we choose 2 and r = 20, we get:

           \(^{11} C_{2} = \frac{11!}{2! 9!}\)  = 55

A number of ways with 4 women and 2 men:

     \(^{20}C_4 * ^{11}C_2 = \frac{20!}{4!6!} \frac{11!}{2!9!}\)

⇒ 5× 3× 9× 17× 55 = 126225

A number of ways with 5 women and 1 man:

\(^{20}C_5 * ^{11}C_1 = \frac{20!}{5!15!} \frac{11!}{1!10!}\)

= 5 × 19× 3× 4× 17× 11

=213180

A number of ways with 6 women and 0 men:

\(^{20}C_6 * ^{11}C_0 = \frac{20!}{6!14!} \frac{11!}{0!11!}\)

= 19 × 17× 8× 15× 1

= 38760

Now,

Adding up all the 3 cases:

126225 + 213180 + 38760 = 378165

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Answer:

Undercoverage

Step-by-step explanation:

Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.

I hope it helps! Have a great day!

If "r" is an odd function, "s" is an even function , then the function "s(x) × s(x)" will be an (a) Even Function .

A function is considered as Even Function if it satisfies : f(x) = f(-x) for all x in its domain, and

A function is considered as Odd Function if it satisfies : f(x) = -f(-x) for all x in its domain.

The product of two even functions is even, because if f(x) and g(x) are both even, then

⇒ (f(x) × g(x)) = (f(-x)) × (g(-x)) = f(-x) × g(-x) = f(x)g(x),

So, f(x)g(x) is also even.

In this case, since the function "s" is an even function, So , "s(x) × s(x)" is also Even .

The given question is incomplete , the complete question is

Assume that "r" is an odd function, "s" is an even function, and both "r" and "s" are defined on the entire real line R. Are the following functions even or odd?

Is "s(x) × s(x)" even or odd ?

(a) even function

(b) odd function

(c) neither

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Answer:

Last bullet point

Step-by-step explanation:

The calculated depth of the well in feet is 402.5 feet

From the question, we have the following parameters that can be used in our computation:

Time, t = 5 seconds

The depth of the well in feet is calculated as

d = 1/2gt²

substitute the known values in the above equation, so, we have the following representation

d = 1/2 * 32.2 * 5²

Evaluate

d = 402.5

Hence, the depth is 402.5 feet

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Answer:

(T - 1)(x, y) = (x - 4, y - 3)

Step-by-step explanation:

For a given transformation:

T(x, y) = (x', y')

the inverse transformation is defined by:

(T - 1)(x', y') = (x, y)

So, if our transformation is:

T(x, y) = (x + 4, y + 3)

Then for the inverse transformation, we should have:

(T - 1)(x + 4, y + 3) = (x, y)

So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.

Writing the inverse transformation for a generic (x, y) point, we get:

(T - 1)(x, y) = (x - 4, y - 3)

Answer:

1684.8 cubic units

Step-by-step explanation:

In oblique cylinder the height (altitude) is measured from the opposite base to the base of the cylinder, but it lies outside. We can find the height using Pythagoras theorem.

       h + 7² = 13²

              h²= 169 - 49

              h² = 120

               h = √120

                h = 10.95 units

radius = r = 7 units

\(\boxed{\text{\bf Volume of oblique cylinder = $\bf\pi r^2h$} }\)

                                                    = 3.14 * 7 * 7 * 10.95

                                                    = 1684.8 cubic units

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

The statement is false because in a Poisson distribution, the probability of success does not vary from trial to trial.

The Poisson distribution is a discrete probability distribution that describes the number of times an event occurs in a fixed time interval or spatial region, given the average rate of occurrence and assuming that the events are independent and random.

The Poisson distribution has only one parameter, λ, which represents the average rate of occurrence of the event.

The probability of observing k events in the interval is given by the Poisson probability mass function:

P(k) = (e^(-λ) * λ^k) / k!

where e is the base of the natural logarithm, and k is a non-negative integer.

The Poisson distribution assumes that the probability of observing an event at any given point in time or space is constant, and that the events are independent of each other.

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The length of the two equal sides of the isosceles triangle is approximately 9.5 centimeters.

The area of an isosceles triangle can be calculated using the formula A = (1/2)bh, where A is the area of the triangle, b is the length of the base, and h is the height of the triangle.

In an isosceles triangle, the height is the perpendicular distance from the base to the apex of the triangle.

In this problem, we are given that the area of the triangle is 24 square centimeters. Let x be the length of the two equal sides of the triangle, and let h be the height of the triangle. The base of the triangle can be found using the angle between the two equal sides:

b = 2xsin(75°)

Now we can use the formula for the area of the triangle to solve for h: 24 = (1/2)bh, h = (48/xsin(75°))

Since we have expressions for both the base and height of the triangle, we can use them to solve for x using the formula for the area of an isosceles triangle:

24 = (1/2)(2xsin(75°))((48/xsin(75°)))

x ≈ 9.5 cm (rounded to the nearest tenth)

Therefore, the length of the two equal sides of the isosceles triangle is approximately 9.5 centimeters.

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Answer:

12x -34

Step-by-step explanation:

Combine values

The percent change from 188 m to 42 m is given as follows:

-77.66%.

A percentage of an amount a relative to a total amount b is obtained applying a proportion, as it is the division of the amount a by the amount b, multiplied by 100%.

Then the percent change is calculated as the division of the change by the initial amount.

The amounts for this problem are given as follows:

Hence the change is given by the subtraction of the final amount by the initial amount, as follows:

42 - 188 = -146.

Then the percent change is of:

-146/188 x 100% = -77.66%.

The percent change is negative as the amount decayed, that is, the initial amount is greater than the final amount.

The problem asks for the percent change from 188 m to 42 m.

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We can observe that the series is an alternating series, where the terms alternate in sign. Therefore, we can use the Alternating Series Test to determine convergence or divergence. The Alternating Series Test states that if a series alternates in sign, and the absolute value of each term in the series decreases and approaches zero, then the series converges.

In this case, the absolute value of each term is 5/6, 5/8, 5/10, etc. We can see that the denominators are increasing by 2 each time, so the absolute value of each term is decreasing and approaching zero. Therefore, we can apply the Alternating Series Test.

The Alternating Series Test also states that we must check if the limit of the absolute value of the terms is zero. We have:

lim (n→∞) 5/(2n) = 0

Since the limit of the absolute value of the terms is zero, and the series alternates in sign and the absolute value of each term decreases, the series converges.

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The difference between the amount of saturated fat and protein can be calculated using the subtraction operation. Hence, the difference is 0.59 grams.

Given the Parameters :

Using the subtraction operation :

Hence, the amount of saturated fat is 0.59 grams more than Protein.

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The equation shows that the cost if one small box is $7 and the large box is $14.

The equation to solve the question will be:

12s + 4l = 140

3s + 12l = 189

Multiply equation i by 3

Multiply equation ii by 12

36s + 12l = 420

36s + 144l = 2268

132l = 1848

l = 1848/132

l = 14

12s + 4l = 140

12s + 4(14) = 140

12s + 56 = 140

s = 7

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The range of the data for Shona and Miguel will be 35 and 30, while the median of the data will be 40 and 42.5.

A boxplot is a visual representation of a data set's dispersion and centers.

The interquartile range and the mean of the data set are two examples of spread measures. The mean, average, and median are examples of center measures.

The data set of the Miguel is;

25,30,35,40,45,50,55

The median of the data is;

\(\rm Median =( \frac{n+1}{2}) ^{th} term \\\\ Median =( \frac{7+1}{2} )^{th} term \\\\ Median = 4 ^{th} term \\\\ Median = 40\)

Shona's data is;

25,30,35,40,45,50,55,60

The median of Miguel's data is;

\(\rm Median_{shona} = \rm \frac{40+45}{2} \\\\ Median_{shona} =42.5\)

The range of Miguel's data is;

⇒ 55-25

⇒ 30

The range of Shona's data is;

⇒60-25

⇒35

Hence, the median of the data for Shona and Miguel will be 40 and 42.5 and the range of the data for Shona and Miguel will be 35 and 30.

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Answer:

the answer is 396 beacsue i followed yiur instucton on the note answer.

Step-by-step explanation:

A piecewise defined function is a function divided into branches by certain conditional rules. The conditions stand after the conditional "if". To evaluate a piecewise defined function for a particular value, we need to know first which condition it satisfies, and then, apply its corresponding rule.

Here, we have the function

Let's begin the evaluations with -4. Note that it's less than 0, that is, it satisfies the first condition (x<0). By what I said before,

The next is f(-3). Again, -3<0. Thus

Now, 0 satisfies the second condition,

This means that we must apply the second rule (adding 2):

The next two numbers 3 and 4 satisfy the second condition as well (for they are positive). Then,

Answer:

8/27

Step-by-step explanation:

\((\frac{2}{3})^3 = \frac{2}{3} * \frac{2}{3} * \frac{2}{3} = \frac{8}{27}\)

Answer:

1) 314.38 m

2) Je ne sais pas.

Answer: 40

Step-by-step explanation: 50x0.8=40

Okay, maybe im wrong? But i dont see how its 4 thats more than half.

Rodger can do 46 pushups.

50 * 0.92 = 46

Edit: To better clarify, 0.92 is from 1.00 - 0.08.  

... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92

Keep in mind that:

1.00 = 100%

0.08 = 8%

0.92 = 92%

After finding this you may multiply 50 * 0.92 to get 46.

A brilliant young golfer loses 15% of the tournaments she enters. We will assume the results of each tournament are independent of other tournaments. If she enters 20 tournaments this year, the probability she will win all of them is 0.0317 (round to the third decimal place).

To find the probability that the golfer will win all 20 tournaments, we need to calculate the probability of winning a single tournament and raise it to the power of 20, assuming each tournament's outcome is independent.

Since the golfer loses 15% of the tournaments she enters, the probability of winning a single tournament is given by:

P(win) = 1 - P(lose) = 1 - 0.15 = 0.85

Now, calculate the probability of winning all 20 tournaments:

P(winning all 20 tournaments) = P(win)²⁰ = 0.85²⁰ ≈ 0.0317 (rounded to the third decimal place)

Therefore, the probability that the golfer will win all 20 tournaments is approximately 0.032.

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A 3-ary tree is a tree in which each internal node has exactly three children, there are 1086 leaf nodes in a 3-ary tree with 6 internal nodes.

For a 3-ary tree with 6 internal nodes, there will be a total of 7 levels (0 to 6). Consider the following formula for the number of nodes in a tree of height\(h: n = 1 + 3 + 3^2 + 3^ + ... + 3^h\) The given 3-ary tree has a height of 6, so its number of nodes is:\(n = 1 + 3 + 3^2 + 3^3 + 3^4 + 3^5 + 3^6\)

Using the geometric series formula, we can simplify this: \(n = (3^7 - 1) / 2n = (2186 - 1) / 2n = 1092\) The number of leaf nodes in a 3-ary tree with 6 internal nodes is:\(n - 6n - 6 = 1092 - 6n - 6 = 1086\) Therefore, there are 1086 leaf nodes in a 3-ary tree with 6 internal nodes.

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Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.

Standard deviation is calculated as follows:

p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8

Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.

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The part of the figure of a circle labeled as angle APB is

The part of the circle marked by a question marked as angle APB is solved using the relationship below

given angle formed by the tangents = major arc ACB - 180 degrees

information given in the problem includes

given angle formed by the tangents = angle APB

major arc ACB = 266

substituting in these values results to

given angle formed by the tangents = 266 degrees - 180 degrees

given angle formed by the tangents = 86 degrees

hence the required side, which is angle APB is 86 degrees

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At 100°C, the nitrogen molecules in the container have an rms speed of 576 m/s. The pressure inside the container,

which is at a pressure of 2.4 atm, is a result of the collisions of these fast-moving molecules with the walls of the container. The area of the wall is 13 cm x 13 cm, which means there is a total surface area of 169 cm^2.

The collisions of the nitrogen molecules with this surface area will result in a force on the wall, which is what creates the pressure.

Overall, the properties of the nitrogen molecules, including their speed and number, contribute to the overall pressure inside the container.

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Answer:

E

Step-by-step explanation:

You dont have enough data to solve for x

Answer:

D

Step-by-step explanation:

Math.

Hope this helps