Question 12 (5 points)
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An octagonal prism (shown) has __________ faces and ___________ vertices.
Question 12 options:

A)

8, 10

B)

10, 16

C)

16, 10

D)

6, 8

The values of t are 1.42 or 0.70

To find the values of t for which height is 20 feet,, we will substitute 20 for h in the equation above:

Next we will solve for t:

Since we can't easily ascertain if it is factorisable using factorisation method, we will use the formula method to factorise it:

The values of t to the nearest hundredth are 1.42 or 0.70

Answer:

Exact form = 83 over 8

Decimal form = 10.375

Mixed number = 10 and 3 over 8

Step-by-step explanation:

The quartiles of the distribution are given as follows:

The sample size of the distribution is of:

n = 40.

The first quartile is the value that is greater than 25% of the distribution, hence it is the value at the position which is 25% of the sample size, hence:

The second quartile is the value that is greater than 50% of the  distribution, hence it is the value at the position which is 50% of the sample size, hence:

The third quartile is the value that is greater than 75% of the  distribution, hence it is the value at the position which is 75% of the sample size, hence:

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The equation shows the inverse property of multiplication is   2 times one-half = 1

We have to determine,

Which equation shows the inverse property of multiplication

We have given the

4 (-4) = 0 -8 (-3) = -3 (-8) 2 times one-half = 1 eight-fifths 0 = eight-fifths

In order to show a property of multiplication, the equation must involve multiplication. There is only one choice that does.

 2 times one-half = 1

The multiplicative inverse of a number, multiplied by the number, results in 1, the multiplicative identity element.

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Answer:

To find the total number of beads Naina used to complete the ornament, we need to sum the number of beads in each layer.

Total number of beads = 45 + 42 + 39 + ... (continue the pattern until the 10th layer)

Notice that the number of beads in each layer decreases by 3. We can use arithmetic series formula to find the sum of the beads in all 10 layers:

S = (n/2) x (a + l)

where S is the sum, n is the number of terms, a is the first term, and l is the last term.

Here, a = 45, l = 18 (since the 10th layer will have 18 beads), and n = 10 (since there are 10 layers). Thus, we have:

S = (10/2) x (45 + 18) = 5 x 63 = 315

Therefore, Naina used a total of 315 beads to complete the ornament.

Answer:

The answer to your problem is, 1260

Step-by-step explanation:

Well we know she made 10 “ strand ornaments “ for each layers we would need to add;

45 + 42 + 39

= 126

We would actually then need to multiply it by 10. Shown:

126 × 10

= 1260

Thus the answer to your problem is, 1260

Answer:

The answer is D. Cone

Step-by-step explanation:

The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

The number of miles charged for traveling is 65 miles.

Step-by-step explanation:

To determine the number of miles traveled based on the given cost of $107.75, we can set up an equation using the formula for the cost of renting a car:

Cost = $85 per week + $0.35 per mile

y = 85 + 0.35x

where y is the total cost and x is the number of miles traveled.

We can plug in the given cost of $107.75 and solve for x:

107.75 = 85 + 0.35x

Subtracting 85 from both sides, we get:

22.75 = 0.35x

Dividing both sides by 0.35, we get:

x = 65

Therefore, the number of miles charged for traveling is 65 miles.

Answer:

19 6/8 or 19 3/4

I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.

Answer: 752

Step-by-step explanation:

Given that,

Margin of error = 3% = 0.03

confidence level = 90% = 0.90

therefore from the z-table

z = 1.645

Now since no prior estimate of p is given, so we say p = 0.5

Sample size required will be

n = 1.645² × 0.5 ×(1-0.5) / 0.03² = 751.67

n = 751.67 ≈ 752

Answer:

We can use the half-angle formula for sine to find the exact value of sin(a/2) in terms of sin(a):

sin(a/2) = ±√[(1 - cos(a))/2]

where the ± sign depends on the quadrant of a/2.

To use this formula, we first need to find cos(a). We can do this using the identity:

sin^2(a) + cos^2(a) = 1

Substituting sin(a) = 7/9, we get:

(7/9)^2 + cos^2(a) = 1

Simplifying and solving for cos(a), we get:

cos(a) = ±4/9

Since a is in quadrant I, we take the positive value of cos(a):

cos(a) = 4/9

Now we can use the half-angle formula for sine to find sin(a/2):

sin(a/2) = ±√[(1 - cos(a))/2]

Substituting cos(a) = 4/9, we get:

sin(a/2) = ±√[(1 - 4/9)/2]

Simplifying, we get:

sin(a/2) = ±√(5/18)

Since a is in quadrant I, a/2 is also in quadrant I, so we take the positive value of sin(a/2):

sin(a/2) = √(5/18)

Therefore, the exact value of sin(a/2) is √(5/18)

Answer:

Central tendencies and variability are generally used to represent or describe/summarize a large data set into a single data

Step-by-step explanation:

Central tendency is the measurement used to determine the probability of a set of  variables/dataset to cluster around their mean, mode, and median values.

Central tendencies and variability are generally used to represent or describe/summarize a large random data set into a single data. examples of variabilities are : variance, range and standard deviation.

Answer:

2 dogs/ 3 cats and 10 dogs/ 15 cats are an example of

Equivalent ratios.

The largest total area that can be enclosed is 4050 square yards.

Let's the length of the rectangular corral for cattle as x and the length of the rectangular corral for sheep as y.

For the cattle corral:

- Two sides with length x.

- One side with length y.

For the sheep corral:

- Two sides with length y.

- One side with length x.

As, the total fencing required is 270 yards

2x + y + 2y + x = 270

3x + 3y = 270

x + y = 90

Now, area of a rectangle is given by the formula A = length × width.

For the cattle corral = x × y

For the sheep corral= y × x

So, the total area is

= x × y + y × x

= 2xy

From this equation, x + y = 90

x = 90 - y.

Substituting this into the equation for A total:

A total = 2(90 - y)y = 180y - 2y²

To find the maximum area, take the derivative of A_total with respect to y and set it equal to zero.

\(\dfrac{dA_{total}}{dy}\) = 180 - 4y = 0

Solving for y:

180 - 4y = 0

4y = 180

y = 45

Substituting this value of y back into the equation x + y = 90:

x + 45 = 90

x = 45

Therefore, the dimensions that maximize the total area enclosed are x = 45 and y = 45.

So, the maximum area

=2 (45) (45)

= 4050 square yards

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Answer:

5/12 * 2 = 5/6

Step-by-step explanation:

So matrix which show equation 4x+2y=4 is  \(\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]\) .

Given that we have an equation that is 4x+2y=4

So equation is a statement that the values of two mathematical expressions are equal (indicated by the sign =).

So in order to write this equation in matrix form we have to write it into augmented matrix

So augmented matrix is a matrix whose elements are the coefficients of a set of simultaneous linear equations with the constant terms of the equations entered in an added column.

Therefore the matrix will be:

\(\left[\begin{array}{ccc}4&2&4\\12&-1&26\end{array}\right]\)    .

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Answer:

no they are not proportional

A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

12..........'.............

Answer:

Yeah the Answer is 12

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

DE+DA=130

overload it by doing it again and again.

Answer:

it would be within the range of $0.77 <x< $0.78

Answer:

The probability that he took the CFA I exam is 0.297.

Step-by-step explanation:

We are given that the pass rates for levels I, II, and III are 0.51, 0.76, and 0.86, respectively. Suppose that 3,000 candidates take the level I exam, 2,500 take the level II exam and 2,000 take the level III exam.

Let the probability that the candidate take the level I exam = P(A) = \(\frac{3000}{7500}\) = \(\frac{2}{5}\)

The probability that the candidate take the level II exam = P(B) = \(\frac{2500}{7500}\) = \(\frac{1}{3}\)

The probability that the candidate take the level II exam = P(C) = \(\frac{2000}{7500}\) = \(\frac{4}{15}\)

Let P = event that the candidate is passed

Also, the probability of the pass rate for level I = P(P/A) = 0.51

The probability of the pass rate for level II = P(P/B) = 0.76

The probability of the pass rate for level III = P(P/C) = 0.86

Now, a randomly selected candidate who took a CFA exam tells you that he has passed the exam, the probability that he took the CFA I exam is given by = P(A/P)

We calculate this probability using the Bayes' Theorem;

       P(A/P) = \(\frac{P(A) \times P(P/A)}{P(A) \times P(P/A)+P(B) \times P(P/B)+P(C) \times P(P/C)}\)

                  = \(\frac{\frac{2}{5}\times 0.51 }{\frac{2}{5}\times 0.51+\frac{1}{3}\times 0.76+\frac{4}{15}\times 0.86}\)

                  = \(\frac{0.204}{0.687}\) = 0.297

Hence, the probability that he took the CFA I exam is 0.297.

The probability will be "0.2971".

According to the question,

The passing rate for the levels 1, 2 and 3 are:

Now,

The no. of students who passes CFA 1 will be:

= \(3000\times 0.51\)

= \(1530\)

The no. of students who passes CFA 2 will be:

= \(2500\times 0.76\)

= \(1900\)

The no. of students who passes CFA 3 will be:

= \(2000\times 0.86\)

= \(1720\)

So,

The total number of students who passes,

= \(1530+1900+1720\)

= \(5150\)

hence,

The probability that randomly selected candidates who took the CFA 1 will be:

= \(\frac{Favorable \ events}{Total \ events}\)

= \(\frac{1530}{5150}\)

= \(0.2971\)

Thus the above approach is correct.

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Answer:

c on edge2021

Step-by-step explanation:

Answer:

70*pi

Step-by-step explanation:

No idea mate

Answer:

Step-by-step explanation:

circumference of a circle = 2πr

where

r = 70/2 = 35 yd

π = 3.14

plugin values into the formula:

C = 2 (3.14) 35

C = 219.8 yd.

Answer:

23/50 or 0.46

Step-by-step explanation:

probability of girls owning a bicycle 60/100=3/5

probability of girls no owning one is 1-3/5=2/5

same method for boys 70/100=7/10

probability for not is 3/10

to find the probability that only one does you would do..

(3/5*3/10)+(2/5*7/10)

which equals 23/50 or 0.46

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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As per the Pythagorean theorem, the length of the missing side, c, is approximately 8.06 units.

Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Now, let's use the Pythagorean Theorem to find the length of the missing side in your problem. You have a right-angled triangle with side a = 4 and side b = 7. To find the length of the missing side, let's call it c, we need to use the Pythagorean Theorem, which is:

c² = a² + b²

In this case, we know the values of a and b, so we can substitute them into the equation:

c² = 4² + 7²

Simplifying the right-hand side, we get:

c² = 16 + 49

c² = 65

To solve for c, we need to take the square root of both sides of the equation:

c = √65

c ≈ 8.06

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The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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