2. Calculate the total surface area of the regular triangular pyramid SABC if: (a) AB = BC = AC = SA = SB = SC = 10 cm;

The expected value for playing roulette if a person bet $16 on red is -$0.84.

b. The statement that best describes what this value means is option b. Over the long run, the player can expect to lose about $1.05 for each game played.

To be able to calculate the expected value, you need to multiply the probability of winning by the amount won hence it will be:

Expected value = (18/38) x  $16 - (20/38) x  $16

= -$0.84

Based on the fact that the expected value has a negative sign, it implies that, on average, the player tend to lose money over the long run.

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See full question below

one option in a roulette game is to bet $16 on red. (there are 18 red compartments, 18 compartments, and two compartments that are neither red nor black) if the ball lands on red, you get to keep the $16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected.

a. what is the expected value for playing roulette if you bet $16 on red?

$__________ (round to the nearest cent)

b. chosen the statment below that best describes what this value means???

Pick One!

a. over the long run, the player can expect to win about $1.05 for each game played

b. over the long run, the player can expect to lost about $1.05 for each game player

c. over the lung run, the player can expect to break even

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The y-intercept of the graph of this function is 5.

Given information:

The linear function passes through the points (0, 5) and (8, -2).

Here, we have to find the y-intercept.

For that, the definition of y-intercept is given as the point where the graph intersects the y-axis.

To find the y-intercept of the graph of this function, we need to identify,

the point where the graph intersects the y-axis.

The y-axis corresponds to the x-coordinate of 0.

Since the function passes through the point (0, 5), we know that the y-intercept is 5.

Therefore, the y-intercept of the graph of this function is 5.

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Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.

As given in the question,

Nearest point on the coast is 2 miles far away

rate of the row = 1mile per hour

Walk at the rate of 3 miles per hour

Let 'x' hours be the least time to reach point Q.

Time = distance / speed

Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3

Time taken to reach the coast = (√ 4 + x² ) / 1

Total  time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

To find least time dt/dx = 0

t  = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3

⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )

⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )

Squaring both the side we get,

x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )

⇒3x² -24x +36 =0

⇒ x² -8x + 12 = 0

⇒ x = 2 or 6 hours

Therefore , the least time taken to reach the point Q is equal to 2 hours.

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(5-√5)² in the form a + b√5 can be written as 30 - 10√5 where, the integers a and b are 30 and -10 respectively.

What is integer?

Positive, negative, and zero are all examples of integers. The Latin word "integer" means to "whole" or "intact." Therefore, fractions and decimals are not included in integers. In this essay, we will learn more about integers, their definition, and their characteristics.

We know that,

\((a-b)^2= a^2 + b^2 - 2ab\)

Using this mathematical identity, putting the values from question,

(5-√5)² = 5² + √5² - 2(5)(√5)

(5-√5)² = 25 + 5 - 10√5

(5-√5)² = 30 - 10√5

This is in the form a + b√5 where, the integers a and b are 30 and -10 respectively.

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Answer:

14 + 2x I think

Step-by-step explanation:

Wait for more responses if needed

Answer:

\( {6x}^{2} + 4x\)

Step-by-step explanation:

1) Collect like terms.

\((7 {x}^{2} - {x}^{2} ) + 4x\)

2) Simplify.

\( {6x}^{2} + 4x\)

Therefor, the answer is 6x² + 4x.

Null hypothesis: The mean number of points scored by the taller team is not significantly different from the population mean of 72.

Alternative hypothesis: The mean number of points scored by the taller team is significantly greater than the population mean of 72.

Since the population variance is unknown, we will use a t-test. The degrees of freedom for this test will be 9 (n-1), where n is the sample size of the taller team (10).

Using an alpha level of 0.05 and 9 degrees of freedom, the critical t-value is 1.833.

To calculate the test statistic, we first need to find the sample mean and standard deviation of the taller team's scores. The sample mean is 82, and the sample standard deviation is 9.89. Using these values, we can calculate the t-value:

t = (82-72) / (9.89 / sqrt(10)) = 3.19

Since the calculated t-value (3.19) is greater than the critical t-value (1.833), we reject the null hypothesis and conclude that there is a significant difference between the mean number of points scored by the taller team and the population mean of 72. The coach can therefore conclude that having a taller team does result in a greater number of points scored.

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Answer:

Please attach a photo to this so I can better answer your question

=============================================

Explanation:

If angle x is the reference angle, then the side 9 is the adjacent side (it is the closer leg to angle x). The hypotenuse is 17 as it is opposite the largest angle. The largest side is always opposite the largest angle in a triangle.

-----------------

cos(angle) = adjacent/hypotenuse

cos(x) = 9/17

x = arccos(9/17)

x = 58.034281249203

x = 58

Arccosine is the same as inverse cosine, written as \(\cos^{-1}\)

Make sure your calculator is in degree mode.

-------------

Edit:

After finding x, we can find y

x+y = 90

58+y = 90

y = 90-58

y = 32

Answer:

68

Step-by-step explanation:

=> g²+13g

putting the value of g which is 4

=> 4²+13(4)

=> 16+52

=> 68

Answer:

68

Step-by-step explanation:

We simply just plug in 4 for g since the problem states that "g=4"

Which turns our expression to "\(4^{2} +13(4)\)"

_________________________

We start by calculating what \(4^{2}\) equals which is 16 (4 * 4)

Now we do 13 times 4 which is 52

52 + 16 = 68

Answer:

19

Step-by-step explanation:

Formula

h(x) = 4x + 3

Givens

x = 4

Comment

h(x) is the same thing as y. So the equation can be written as y = 4x + 3

Now it is a simple matter of solving 4x  + 3 given that x = 4.

Solution

f(4) = 4*4 + 3          Combine

f(4) = 16 + 3            Add

Answer

f(4) = 19

Answer:

5 / 6

Step-by-step explanation:

The green numbers: 1, 2, 5

The even numbers: 2, 4, 6

Since 2 is an overlap, we'll only count it once.

Total outcomes: 6

Successful outcomes: 5

Probability: 5 / 6

Answer:

I just did this on Delta Math lol:

Answer: 155.3 ft

Step-by-step explanation:

The y-intercept of the line representing Beatrice's monthly music is 20

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

y = -.95x + 20

To calculate the y-intercept of the line, we set x = 0

So, we have

y = -.95 * 0 + 20

Evaluate

y = 20

Hence, the y-intercept of the line representing Beatrice's monthly music is 20

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Question

What is the y-intercept of the line representing Beatrice's monthly music subscription bill as a function of the number of songs she downloaded?

The equation is y = -.95x + 20

Answer:

3/100

Step-by-step explanation:

100 pennies equals 1 dollar so 3 over 100 is the fraction

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

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Answer: 336

Step-by-step explanation:

The numbers are all multiples of 6

Answer:

4/9

Step-by-step explanation:

'ng' = not green

P(ng,ng) = 2/3 x 2/3 = 4/9

They both have the same domain. This statements about these two functions are true. Therefore, the correct option is option 1.

A function in mathematics between a set X to the set Y allocates precisely one component of Y for every element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities. A planet's position, for instance, depends on time. They both have the same domain. This statements about these two functions are true.

Therefore, the correct option is option 1.

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Answer:

Step 2

Step-by-step explanation:

In step 1, Gary had the right idea of multiplying both sides by 4 to eliminate the denominator, but in step 2, Gary makes a mistake since e should equal 10 not 8. 2.5 * 4 = 10 not 8

Answer:

B) Step 2

Step-by-step explanation:

Gary's mistake occurs in Step 2. He was right to multiply both sides of the equation by 4 to find e, but his error is in the multiplication of 2.5*4. 2.5*4 = 10, not 8.

Answer:

Step-by-step explanation:

To calculate the variance of a sample, you need to follow these steps:

Find the mean (µ) of the sample.

Subtract the mean from each data value (x - µ).

Square each difference [(x - µ)²].

Calculate the sum of the squared differences.

Divide the sum by the sample size minus 1 (n - 1).

Let's apply these steps to the given sample:

x = 9

µ (mean) = (7 + 15 + 11 + 1 + 11) / 5 = 45 / 5 = 9

(x - µ)² : (7 - 9)² = 4, (15 - 9)² = 36, (11 - 9)² = 4, (1 - 9)² = 64, (11 - 9)² = 4

Sum of squared differences: 4 + 36 + 4 + 64 + 4 = 112

Sample size: n = 5

Variance = Sum of squared differences / (n - 1) = 112 / (5 - 1) = 112 / 4 = 28

Therefore, the variance of the sample is 28. Option C is the correct answer.

we have -3/8 x 8/15 = -3/8 x 8/ (3x5) = -1/5

ok done. thank to me :>

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer: 21

Step-by-step explanation:

Answer:

answer =-1.

Step-by-step explanation:

(i)write the question nicely again.

(ii) substitute the ltter with the value that is given.

(iii)u gonna use BEDMAS RULE TO SOLVE.

Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%