question the random variable x is exponentially distributed, where x represents the time it takes for a whale watcher to spot a whale. if x has an average value of 45 minutes, what is the probability that x is less than 45 minutes? round the final answer to three decimal places.

\( - 8 {y}^{2} (2 {y}^{2} + 7y - 5) \\= (- 8 {y}^{2})(2 {y}^{2}) +( 7y)( - 8 {y}^{2}) -( 5)( - 8 {y}^{2}) \\ = - 16 {y}^{4} - 56 {y}^{3} + 40 {y}^{2} \)

Answer:

Step-by-step explanation:

1) Angle 1 = 95   Angle 2 = 95

2) Angle 1 = 108 Angle 2 = 72

3) Angle 1 = 58  Angle 2 = 58

4) Angle 1 = 40  Angle 2 = 40

Answer:

K=F/q

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x≤-37

x≤-37/6

x≤ -6 1/6

The linear function for the cost is given as follows:

C(t) = 10 + 3t.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

We have that each hour, the cost increases by $3, hence the slope m is given as follows:

m = 3.

For a time of 0 hours, the cost is of $10, hence the intercept b is given as follows:

b = 10.

Thus the function is given as follows:

C(t) = 10 + 3t.

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The cosine ratio for angle B in the right triangle is given as follows:

cos(B) = 15/17.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are defined as follows:

For angle B, the parameters are given as follows:

Hence the cosine is given as follows:

cos(B) = 15/17.

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a.The interest rate earned when borrowing $650 is approximately 12 percent. b. The interest rate earned when borrowing $650 is approximately 12 percent. c.The interest rate earned when borrowing $74,000 is approximately 6 percent,. d. The interest rate earned when borrowing $18,000  is approximately 8 percent. .

a. The interest rate earned when borrowing $650 and repaying $728 after 1 year is approximately 12 percent. b. The interest rate earned when lending $650 and receiving $728 after 1 year is also approximately 12 percent. c. The interest rate earned when borrowing $74,000 and repaying $127,146 after 8 years is approximately 6 percent. d. The interest rate earned when borrowing $18,000 and making payments of $4,390.00 annually for 5 years is approximately 8 percent.

To calculate the interest rate earned in each scenario, we can use the formula for compound interest. The formula is:

Future Value = Present Value × (1 + Interest Rate)^Number of Periods

Rearranging the formula, we can solve for the interest rate:

Interest Rate = ((Future Value / Present Value)^(1 / Number of Periods) - 1) × 100

By plugging in the given values and solving for the interest rate, we can determine the approximate interest rates earned in each case. The interest rates are rounded to the nearest whole number.

For example, in scenario a, the interest rate earned is calculated as ((728 / 650)^(1/1) - 1) × 100, which results in approximately 12 percent. This means that by borrowing $650 and repaying $728 after 1 year, you would be earning an interest rate of around 12 percent. Similarly, the interest rates for scenarios b, c, and d can be calculated using the same formula to obtain the respective answers.

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There are 8 different ways to choose the leadership of the tribe.

To calculate the number of different ways to choose the leadership of the tribe, we need to consider the hierarchy and the number of positions to be filled.

First, we have one chief position. There is only one chief, so there is only one way to choose the chief.

Next, we have two supporting chief positions (supporting chief a and supporting chief

b). Since each supporting chief position can be filled independently, there are 2 ways to choose the supporting chiefs.

Lastly, for each supporting chief, we have two inferior officer positions. Since each supporting chief position has two inferior officer positions, there are 2 ways to choose the inferior officers for each supporting chief.

Therefore, the total number of different ways to choose the leadership of the tribe is calculated by multiplying the number of choices for each position:

1 (chief) * 2 (supporting chiefs) * 2 (inferior officers for each supporting chief) * 2 (inferior officers for the other supporting chief).

Multiplying these values together, we get: 1 * 2 * 2 * 2 = 8.

So, there are 8 different ways to choose the leadership of the tribe.

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a. To calculate the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette, we can use the formula: Expected Value = (Probability of Winning * Amount Won) - (Probability of Losing * Amount Lost)

In this case, the probability of winning is 1/38, and the amount won is $350. The probability of losing is 37/38, and the amount lost is $10. Substituting these values into the formula, we get: Expected Value = (1/38 * $350) - (37/38 * $10)
Expected Value = $9.21 Therefore, the expected value of how much money you’ll get if you bet $10 on number 12 in Roulette is $9.21. b. Based on the expected value from part a, it is not a good idea to play Roulette over and over again. The reason is that the expected value is positive but small. This means that on average, you will win $9.21 for every $10 you bet, but the variance in the game can cause you to lose money in the long run.
For example, if you play 100 rounds of Roulette with a $10 bet on number 12 each time, you would expect to win $921 on average. However, there is a significant chance that you could lose money over these 100 rounds. The more you play, the greater the likelihood of experiencing a losing streak that would offset your winnings.

Therefore, while playing Roulette can be fun and exciting, it is not a sustainable way to make money. The small expected value means that over time, the casino will always come out ahead.

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Answer:

mike and laura both had 12$ before the exchange.

after the exchange mike had 6$ left and laura had 18$

(a) The complement of guessing 5 wrong answers on a 5-question true/false exam is to guess at least 1 correct answer.

(b) Drawing 3 cards from 10 different ones consecutively and replacing them gives a total of 1000 possibilities.

(c) The sample mean (x) is the best unbiased estimator for the population mean.

(d) As the size of a sample increases, the sample mean will be more likely to approach the population mean, and the sample deviation will tend to decrease.

(e) Given a fixed sample size, the confidence interval of the population mean can be widened by increasing the level of confidence.

(a) The complement of guessing 5 wrong answers on a 5-question true/false exam means finding the opposite outcome. In this case, it would be to guess at least 1 correct answer since there are only two options (true or false) for each question.

(b) Drawing 3 cards from 10 different ones consecutively and replacing them means that each time a card is drawn, it is put back into the deck before the next draw. The total number of possibilities can be calculated by multiplying the number of choices at each draw. In this case, there are 10 choices for each draw, so the total number of possibilities is 10 * 10 * 10 = 1000.

(c) The best unbiased estimator for the population mean is the sample mean (x). The sample mean is calculated by taking the sum of all the values in the sample and dividing it by the number of observations in the sample. It is unbiased because, on average, it estimates the population mean accurately without any systematic overestimation or underestimation.

(d) As the size of a sample increases, the sample mean tends to be more representative of the population mean. This is because larger samples have a greater chance of including a diverse range of observations, which reduces the impact of individual outliers. The sample deviation, or standard deviation, measures the dispersion of the data around the sample mean. As the sample size increases, the sample deviation tends to decrease because larger samples provide a more reliable estimate of the true variability in the population.

(e) Given a fixed sample size, the confidence interval of the population mean is a range within which the true population mean is likely to fall. Increasing the level of confidence widens the interval because it requires a higher degree of certainty, resulting in a broader range of values. Confidence intervals are not affected by the method of sample selection (random or structured) as long as the sample is representative of the population.

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53 inches is the mean height of the students in the group.

Given data: \(54,48,52,56,55\)

We know that mean of the heights =  \(\frac{Sum of all the heights}{No. of students}\)

                                                         \(= \frac{54+48+52+56+55}{5}\)

                                                         \(= \frac{265}{5}\)

                                                         \(= 53\) inches

Thus, the mean height of the students is 53 inches

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Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

Answer: In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Step-by-step explanation:

I SMART

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

y = 10x + 70

slope of 10

y-intercept of 70

Step-by-step explanation:

y = - 10x + 70.

The slope of - 10 represents the decrease in car speed in miles per hour each second after braking.

The y-intercept of 70 represents the initial speed of the car before braking.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know slope(m) of a line is (y₂ - y₁)/(x₂ - x₁).

Therefore, Slope of this line is (60 - 70)/(1 - 0).

= - 10/1.

= - 10.

Now, 60 = - 10(1) +b.

60 = - 10 + b.

b = 70.

So, The required equation of the line is y = - 10x + 70.

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Answer:

kate can buy 20 tickets

Step-by-step explanation:

hope this helps

i am not sure about the answer

Answer:

\(P: (-2,4)\)

\(P' : (-4,-2)\)

Step-by-step explanation:

Given

\(P: (-2,4)\)

Required

Rotate 90 degrees counterclockwise

Show both points on graph

\(P: (-2,4)\)

When a point is rotated counterclockwise by 90 degrees, the new point is:

\(P':(-y,x)\)

In

\(P: (-2,4)\)

\(x = -2\)

\(y = 4\)

Hence:

\(P':(-y,x)\)

\(P' : (-4,-2)\)

See attachment for graph

So, what you are supposed to find here is the surface area of this rectangular prism. So the answer is 52 units of the special reflective material is needed.

Since total surface area of a rectangular prism = 2(lb + bh + hl)

Where l = length of the ice block

b = width of the ice block

h = height of the ice block

Now total surface area for the given dimensions = 2(4×2 + 2×3 + 3×4)

= 2(8 + 6 + 12)

Answer:

It's 6.7

Step-by-step explanation:

Got 52 on Khan Academy for you. It's 6.7

Answer:

The answer is either 3 or 15

Step-by-step explanation:

1.Multiply

2. combine like terms

3. Subtract 18k-14k

4. then which gives you 4

5. 4k-36-24

6.4k=12

7. k =3

the reason y I also say 15 is because if you go back over to step 5 and put add instead you would get 60.

it would look like this

4k - 36 + 24

+24 - 24

4k = 60

k = 15

On September 1 the debit and cash is as follows

Debit: Cash $32,000

Credit: Owner's Equity $32,000

On September 1, Justin Wallace invested $32,000 cash into the business to start the business. This transaction increases the business's Cash account and increases the Owner's Equity account, which represents the owner's investment in the business.

September 2:

Debit: Accounts Payable $9,800

Credit: Cash $9,800

On September 2, the business purchased computer equipment on account for $9,800. This transaction increases the Accounts Payable account, which represents the business's obligation to pay the supplier, and decreases the Cash account.

September 2:

Debit: Cash $3,900

Credit: Rent Expense $3,900

On September 2, the business paid cash for September's office rent of $3,900. This transaction decreases the Cash account and increases the Rent Expense account, which represents the cost of renting office space.

September 3:

Debit: Service Revenue $6,400

Credit: Accounts Receivable $6,400

On September 3, the business recorded $6,400 revenue for services rendered to clients on account. This transaction increases the Service Revenue account, which represents the business's revenue from providing services, and increases the Accounts Receivable account, which represents the business's right to receive payment from clients for services rendered.

Mensuration is the branch of mathematics that deals with the measurement of geometric shapes and figures, such as length, area, and volume. It typically includes the study of geometric shapes, such as circles, triangles, and polygons, and their properties, such as perimeter, area, and volume. Mensuration is used in many fields, including engineering, physics, and computer graphics.

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We are asked to find the area of the following figure:

We notice that the figure consist of a large rectangle in the bottom part, and a smaller square of 5 in x 5 in at the top right. We find each area and then add them together for the total area:

Area rectangle = 18 in x 17 in = 306 in^2

Area of square 5 in x 5 in = 25 in^2

The addition of both gives: (306 + 25 ) in^2 = 331 in^2

So, please type as solution: 331 square inches.

Answer:

\(|LN| = 24\)

Step-by-step explanation:

Given

\(LM:MN:NO = 3:1:2\)

\(LO = 30\)

Required

Find LN

\(LN = LM + MN\)

From the ratio, LM = 3 and MN = 1

So:

\(LN = 3 + 1\)

\(LN = 4\)

LN and NO can be represented as:

\(LN : NO = 4 : 1\)

The length of LN is then calculated as:

\(|LN| = \frac{LN}{LN+NO}*|LO|\)

\(|LN| = \frac{4}{4+1}*30\)

\(|LN| = \frac{4}{5}*30\)

\(|LN| = \frac{4*30}{5}\)

\(|LN| = \frac{120}{5}\)

\(|LN| = 24\)

Answer:

There are infinite numbers between -2 and -3

Step-by-step explanation:

First off these numbers:

-2.1 or this number as any equivilant fraction.

-2.2 or this number as any equivilant fraction

-2.3 or this number as any equivilant fraction

-2.4 or this number as any equivilant fraction

-2.5 or this number as any equivilant fraction

-2.6 or this number as any equivilant fraction

-2.7 or this number as any equivilant fraction

-2.8 or this number as any equivilant fraction

-2.9 or this number as any equivilant fraction

any numbers that are reepeating like : -2.3333333333.....

and any numbers that end and don't go on forever without a single repeating number. -2.485485485485485485485485..... is not rationally repeating. -2.444444444444 is rational.

Answer:

-66

Step-by-step explanation:

because -66 divided by 6= -11

and -11+12= 1!!!

I hope this helps!!!!!

HAVE A WONDERFUL DAY!!!!

Triangular (comparative more triangular, superlative most triangular) (comparative more triangular, superlative most triangular) a triangle-shaped form.

The entire area bounded by any triangle's three sides is referred to as the triangle's area. In essence, it is equivalent to 1/2 of base times height, or A = 1/2 b times h.

The Great Pyramid held the record for the world's highest building for more than 4,000 years, standing at 146.5 m (481 ft) tall. After losing 9.5 meters (31 feet) off the top, it is now 137 meters (449.5 feet) high.

S2(A2)2 is a formula that calculates the height of a square pyramid. In this example, a represents the length of the square base edge and s represents the square pyramid's slant height. Given by a2(h3) is the volume of the square pyramid.

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A system uses three components, with each component having a probability of 0.10 of toning, and the components have dependerity. To find the packability that at least one component works, we can use the following steps:

1. Calculate the probability that a component fails: 1 - probability of toning = 1 - 0.10 = 0.90
2. Since the components have dependerity, we can multiply the probability of failure for each component: 0.90 * 0.90 * 0.90 = 0.729
3. To find the packability that at least one component works, we can subtract the probability that all components fail from 1: 1 - 0.729 = 0.271

So, the packability that at least one component works is approximately 0.271, which is not listed in the given options.

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(x, y) is an element of the set c × d, since x is an element of c and y is an element of d.

Since (x, y) was an arbitrary element in a × b, we can conclude that every element in a × b is also in c × d. Thus, we have shown that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d.

To show that if a ⊆ c and b ⊆ d, then a × b ⊆ c × d, follow these steps:

Step 1: Understand the notation.
a ⊆ c means that every element in set a is also in set c.
b ⊆ d means that every element in set b is also in set d.

Step 2: Consider the Cartesian products.
a × b is the set of all ordered pairs (x, y) where x ∈ a and y ∈ b.
c × d is the set of all ordered pairs (x, y) where x ∈ c and y ∈ d.

Step 3: Show that a × b ⊆ c × d.
To prove this, we need to show that any ordered pair (x, y) in a × b is also in c × d.

Let (x, y) be an arbitrary ordered pair in a × b. This means that x ∈ a and y ∈ b.

Since a ⊆ c, we know that x ∈ c because every element in set a is also in set c.
Similarly, since b ⊆ d, we know that y ∈ d because every element in set b is also in set d.

Now, we have x ∈ c and y ∈ d, so the ordered pair (x, y) belongs to c × d.

Step 4: Conclusion
Since any arbitrary ordered pair (x, y) in a × b also belongs to c × d, we can conclude that a × b ⊆ c × d.

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x = 9-5^(3/2)*i or x = 5^(3/2)*i+9

ok done. Thank to me :>

In a direct proof, evidence is used to support a claim, On the other hand, a counterexamples is a single example that show the contradictions in a claim.

Evidence means any piece of information that supports the argument being made in a proof which could include mathematical formulas, logic, or theorems that have been previously proven.

Counterexamples are specific examples that disprove a statement made in a proof and are used to show that a proof is not valid and that the argument being made is flawed.

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