5^-2 or 10^-1 pretty pleaseeeeee and give explanation tooooo

Answer:

(a) \(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....\)

(b) P(1) = 0.740, P(2) = 0.192, and P(3) = 0.050.

(c) The probability that n ≥ 4 is 0.018.

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is 3.

Step-by-step explanation:

We are given that on the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry.

Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

(a) We can observe that the above situation can be represented through the geometric distribution because the geometric distribution states that we will keep on going with the trials until we achieve our first success,

Here also, n represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village.

So, the probability distribution of the geometric distribution is given by;

\(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1} ; \text{ n} = 1, 2, 3,....\)

where, p = probability that the residents are of Hawaiian ancestry = 74%

(b) The probabilities that n = 1, n = 2, and n = 3 is given by;

\(\text{P(n)} = \text{p} \times \text{(1 - p)}^{n-1}\)

P(1) = \(\text{0.74} \times \text{(1 - 0.74)}^{1-1}\) = 0.74

P(2) = \(\text{0.74} \times \text{(1 - 0.74)}^{2-1}\) = 0.192

P(3) = \(\text{0.74} \times \text{(1 - 0.74)}^{3-1}\) = 0.050

(c) The probability that n ≥ 4 is given by = P(n ≥ 4)

     P(n ≥ 4) = 1 - P(n = 1) - P(n = 2) - P(n = 3)

                   = 1 - 0.74 - 0.192 - 0.050

                   = 0.018

(d) The expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry is given by = E(n)

We know that the mean of the geometric distribution is given by;

           Mean = \(\dfrac{p}{1-p}\) = \(\dfrac{0.74}{1-0.74}\)

                     = \(\dfrac{0.74}{0.26}\) = 2.85 or 3 (approx).

Answer:

Step-by-step explanation:

Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.

Answer:

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Simplify in below steps:

The bird is flying 25 feet above sea surface and the fish is swimming 7 feet below sea surface:

Distance is equal to:

The bird will have to dive 32feet to catch the fish.

Answer:

The renaissance took place in the 14th all the way to the 17th century.

Step-by-step explanation:

The area of rectangle is 96in2 which is option A.

To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.

The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.

The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.

Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.

So the answer is 96 in².

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Lower estimate obtained would be = 35.4 liters

Upper estimate obtained would be = 35.4 liters

What is Estimate?

Estimation finds an estimate or approximation.

An approximation is a value, amount, or size closest to the true value found by rounding off.

To find upper and lower estimates for the total quantity of erupted materials after six seconds using six equal subintervals, we can use the left endpoints and the right endpoints of the subintervals to find the estimates.

The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. Since there are six subintervals, we have:

lower estimate = (28 + 18 + 34 + 48 + 54 + 60) * (6/6) = 324 tons

The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval. We have:

upper estimate = (18 + 34 + 48 + 54 + 60 + 60) * (6/6) = 324 tons

To use the midpoint rule to estimate Q(6) using three equal subintervals, we need to find the midpoints of the subintervals. The subintervals are [0,2], [2,4], and [4,6]. The midpoints are 1, 3, and 5. The value of r(t) at these points is 18, 48, and 54 respectively. The midpoint rule estimate is given by:

Q(6) = (18 + 48 + 54) * (6/3) = 180 tons

To find lower and upper estimates for the total amount of oil leaked over the interval [0, 10] using five equal subintervals, we can again use the left endpoints and the right endpoints of the subintervals to find the estimates. The lower estimate is obtained by using the left endpoints of the subintervals to estimate the value of r(t) at each subinterval. The upper estimate is obtained by using the right endpoints of the subintervals to estimate the value of r(t) at each subinterval.

The subintervals are [0,2], [2,4], [4,6], [6,8], and [8,10]. The left endpoints are 0, 2, 4, 6, and 8, and the right endpoints are 2, 4, 6, 8, and 10. The lower estimate is obtained by using the left endpoints:

lower estimate = (8.6 + 7.5 + 6.7 + 6.4 + 5.7) * (10/5) = 35.4 liters

The upper estimate is obtained by using the right endpoints:

upper estimate = (7.5 + 6.7 + 6.4 + 5.7 + 5.1) * (10/5) = 35.4 liters

Hence, The Lower estimate obtained would be = 35.4 liters and

Upper estimate obtained would be = 35.4 liters

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Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

Answer:

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

Step-by-step explanation:

We want to represent the value of this number using expanded notation

Mathematically, that will be;

(3 * 100,000) + (0 * 10,000) + (4 * 1000) + (0 * 100) + (5 * 10) + (6 * 1)

= 300,000 + 0 + 4000 + 0 + 50 + 6

= 304,057

Answer:

18

Step-by-step explanation:

6 / (1 / 3) = 6 * 3 = 18

Answer:

18

Step-by-step explanation:

I did it and got it right

The length of PJ in the right triangle PNJ is determined as 24 inches.

The length of PJ is calculated by applying Pythagoras theorem as follows;

PJ² = PN² + NJ²

The given parameters;

NJ = 10 in

The length of PN = The length of PL = The length of PM

PL = 3x + 4

PM = 6x - 14

3x + 4 = 6x - 14

3x - 6x = -14 - 4

-3x = -18

x = 18/3

x = 6

Length PN = 3x + 4

PN = 3(6) + 4

PN = 22

Length PJ is calculated as follows;

PJ² = PN² + NJ²

PJ² = 22² + 10²

PJ² = 584

PJ = √584

PJ = 24.17 in

PJ ≈ 24 in

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36 cm³ of pure alcohol is added to 10 cm of an 8% alcohol solution to strengthen it to an 80% solution.

What is the solution?

A particular kind of homogenous mixture made up of two or more substances is known as a solution. A solute is a substance that has been dissolved in a solvent, which is the other substance in the mixture.

Here, we have

Given: a pharmacist adds 10cm^(3) of an 8% alcohol solution to strengthen it to an 80% solution.

Let x represent the volume of pure alcohol (100%) in cm³ needed to be added.

x × 100% + 10 cm³ × 8% = 80% × (x + 10 cm³)

x × 1 + 10 × 0.08 = 0.8 × (x + 10)

x + 0.8 = 0.8x + 8

0.2x = 7.2

x = 36 cm³

Hence, 36 cm³ of pure alcohol is added to 10 cm of an 8% alcohol solution to strengthen it to an 80% solution.

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Answer:

16. A

17. D

Step-by-step explanation:

16. By saying that a line intersects one plane and then another, you are saying that a line is existing on two planes. This is a direct contradiction to the statement.

17. The triangle is equilateral because syllogism is basically connecting the dots. If the angles in the triangle are all equal, it has all equal sides, and if it has all equal sides, then it is equilateral, therefore, it is D, not C.

Answer: sure it's c

Step-by-step explanation:

Hi There!

Let the average lifespan of a tiger be t, and let the average lifespan of a lion be l.

Now, write the equation:

We know that t=17, and l = 17-3

Write the equation:

l=17-3

Solve:

l=14 (Average lifespan of a lion)

And we're done!

Hope it helps.

Have an awesome day!
\(\huge\text{TheStarryNights :D}\)

Answer:

The commission would be $12,250.00.

A pair of corresponding angles, alternate interior angles, and alternate exterior angles include the following:

Corresponding angles: ∠1 ≅ ∠5.

Alternate interior angles: ∠4 ≅ ∠6.

Alternate exterior angles: ∠2 ≅ ∠8

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines:

∠1 ≅ ∠5

By applying the alternate interior angles theorem to parallel lines m and n, we have the following congruent angles:

∠4 ≅ ∠6

By applying the alternate exterior angles theorem to parallel lines m and n, we have the following congruent angles:

∠2 ≅ ∠8

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The correct option : Both np and n(1 – p) are at least 10, for the a population with population proportion p.

A portion of a population that possesses a certain characteristic, given as a percentage, fraction, or decimal of the entire population.

For the stated data;

n = sample size of the population

p = population proportion

Then, for the sampling distribution of the sample proportion to be approximately normal both np and n(1 – p) are at least 10.

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The domain for this relation is {1,3} and the range for this relation is {2}.

According to the question, the given domain and range of the relation is as follows:

The domain for this relation is : {0, 1, 3}

The range for this relation is : {-2, 1, 2}

As per definition, the domain is the set of all possible values which a function take as an input.

Therefore, the domain for this relation is : {1, 3}

And the range for this relation is: {2}

Hence, the domain for this relation is {1,3} and the range for this relation is {2}.

What is domain and range of a function?

The domain is the set of all the possible values which a function can take as an input. And the range is also the set of paired values which represent the output of a function.

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Answer:

x = 6√2

Step-by-step explanation:

It is a 45°45°90° triangle so you can use the ratio.

x : x√2

x = 6√2

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

I hope I helped have a great day.

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

x=2

Step-by-step explanation:

10 - (x + 3) = 5

To solve for x, we can start by simplifying the left side of the equation:

10 - (x + 3) = 5

10 - x - 3 = 5

7 - x = 5

Next, we can isolate x on one side of the equation by subtracting 7 from both sides:

7 - x = 5

7 - x - 7 = 5 - 7

-x = -2

Finally, we can solve for x by dividing both sides of the equation by -1:

-x = -2

x = 2

Therefore, the solution to the equation is x = 2.

Answer:

Step-by-step explanation: its a