write 4200 as a power whose base is e

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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Answer:

100

Step-by-step explanation:

x^2 – 20x = 5

Take the coefficient of x

-20

Divide by 2

-20/2 = -10

Square it

(-10)^2 - 100

Add this to both sides

x^2 – 20x+100 = 5+100

Answer:

it would be 100

Step-by-step explanation:

correct on edge 2020

The probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is 59.87%

What is the normal distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean. The normal distribution appears as a "bell curve" on a graph.

The formula for z-score is z = (x -μ)/σ

Where,

Z is standard score.

X is observed value.

μ is mean of the sample.

σ is standard deviation of the sample

Given that 55% of the customers buy coffee, hence p = 55% = 0.55

Sample of 35 customers, hence n = 35.

For the normal distribution μ = np, σ = √[np(1-p)]

The mean and the standard deviation of the approximation are:

μ = 35 ˣ 0.55 = 19.25

σ = √[35 ˣ 0.55(1-0.55)] =2.943

Using continuity correction, the probability that fewer than 20 customers in the sample buy coffee during their visit on that certain day of the week is P(X < 20 - 0.5) = P(X < 19.5), which is the p-value of Z when X = 19.5, hence:

z = (20 -19.25)/2.943

z = 0.25 has a p-value of 0.5987.

0.5987 =59.87%

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Answer:

The unit price of brant A and brand B is 0.1311 and 0.1704 and brand A would be better

Step-by-step explanation:

The computation of the unit price for each brand is shown below:

For brand A, the unit price is

= 2.36 ÷ 18 pencils

= 0.1311

For Brand b, the unit price is

= 4.09 ÷ 24

= 0.1704

So here as we can see that brand A would be better as it has less cost as compared with brand B

The actual area of the closet's floor is 3.52 square meters.

To find the actual area of the closet's floor, we first need to convert the dimensions from the scale drawing to their actual dimensions.

According to the given scale, 2 cm on the scale drawing represents 1 meter in reality. Thus, to convert the dimensions from the scale drawing to actual dimensions, we need to multiply each dimension by the conversion factor:

Actual length = 4.4 cm × (1 m / 2 cm) = 2.2 m

Actual width = 3.2 cm × (1 m / 2 cm) = 1.6 m

Now that we have the actual dimensions, we can calculate the actual area of the closet's floor:

Actual area = Actual length × Actual width

= 2.2 m × 1.6 m

= 3.52 square meters

Therefore, the actual area of the closet's floor is 3.52 square meters.

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Answer:

Step-by-step explanation:

-(--4,5)= -(4,5)= -4,5

Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

c=17

Step-by-step explanation:

Answer:

The correct answer is C, 17

Step-by-step explanation:

you have to do 3 times 3 and then add that to 2 times 2 times 2

The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.

Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.

For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.

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For private colleges, the average annual cost is 42.5 thousand dollars with standard deviation 6.9 thousand dollars.

For public colleges, average annual cost is 22.3 thousand dollars with standard deviation 4.53 thousand dollars.

the point estimate of the difference between the two population means is 20.2 thousand dollars. The mean annual cost to attend private college is $20,200 more than the mean annual cost to attend public colleges.

Mean is the average of all observations given. The formula for calculating mean is sum of all observations divided by number of observations.

Standard deviation is the measure of spread of observations or variability in observations. It is the square root of sum square of mean subtracted from observations divided by number of observations.

For private college,

n = number of observations = 10

mean = \(\frac{\sum x_i}{n} = \frac{425}{10} =42.5\)

standard deviation = \(\sqrt{\frac{\sum(x_i - \bar x) }{n-1} } =\sqrt{ \frac{438.56}{9}} = 6.9\)

For public college,

n = number of observations = 10

mean =\(\frac{\sum x_i}{n} = \frac{267.6}{12} =22.3\)

standard deviation =\(\sqrt{\frac{\sum(x_i - \bar x) }{n-1} } =\sqrt{ \frac{225.96}{11}} = 4.53\)

The point estimate of difference between the two mean = 42.5 - 22.3 = 20.2

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The complete question is given below:

The average annual cost (including tuition, room board, books, and fees) to attend a public college takes nearly a third of the annual income of a typical family with college age children (Money, April 2012). At private colleges, the annual cost is equal to about 60% of the typical family’s income. The following random samples show the annual cost of attending private and public colleges. Data given below are in thousands dollars.

a) Compute the sample mean and sample standard deviation for private and public colleges.

b) What is the point estimate of the difference between the two population means? Interpret this value in terms of the annual cost of attending private and public colleges.

Answer:

D

Step-by-step explanation:

eh too lazy to explain but plz trust me

To sketch the region in the plane consisting of points whose polar coordinates satisfy the conditions \(1 < r \leq 2\) and \(\frac{3}{4} \leq \theta \leq \frac{5}{4}\), we can visualize the region as follows:

1. Start by drawing a circle with radius 1. This represents the condition \(r > 1\).

2. Inside the circle, draw another circle with radius 2. This represents the condition \(r \leq 2\).

3. Now, mark the angle \(\theta = \frac{3}{4}\) on the circle with radius 1, and mark the angle \(\theta = \frac{5}{4}\) on the circle with radius 2.

4. Shade the region between the two angles \(\frac{3}{4}\) and \(\frac{5}{4}\) on both circles.

The resulting sketch should show a shaded annular region between the two circles, with angles \(\frac{3}{4}\) and \(\frac{5}{4}\) marked on the respective circles. This annular region represents the set of points whose polar coordinates satisfy the given conditions.

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Step-by-step explanation:

perpendicular slope is negative reciprocal. -1/-1 = 1

y - 4 = x +3

y = x + 7

The required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

According to the question we have been given that

     Rental fee = $39.99

 Additional charge = $0.19

Let the y represent the cost of renting a moving van  

and m represent the number miles driven by the van.

The expression can be formed as

            y = (fixed charge) + m*(additional charge)

            y = $39.99 + $0.19 m

hence the required equation for the cost of renting a moving van is

            y = $39.99 + $0.19 m

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Answer: x= 95° ;  y= 35°

Step-by-step explanation:

If J II K (symmetrical), then x°= 180°- 85°

                                            x°= 95°

In addition to this, because the J II K lines are symmetrical:

                               (5y-90)°= 85°

                              5y°- 90° = 85°

                                       5y°= 85°+ 90°

                                      5y° = 175°

                                  5y°/ 5 = 175°/5

                                          y°= 35°

The effective interest method is used to amortize the bond premium. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond. The journal entry for bond issuance is as follows: Dr. Cash 205,000, Dr. Premium on Bonds Payable 5,000, Cr. Bonds Payable 210,000

The effective interest method is a method of amortizing bond premium or discount that takes into account the time value of money. The effective interest is the interest that would be earned if the bond were purchased at its market value and held to maturity. The carrying value of the bond increases by the effective interest each period, and the premium is amortized over the life of the bond.

The journal entry for bond issuance records the proceeds from the sale of the bonds, the premium on bonds payable, and the bonds payable. The proceeds from the sale of the bonds are equal to the face value of the bonds plus the premium.

The premium on bonds payable is a liability that represents the excess of the issue price of the bonds over their face value. The bonds payable account is a long-term liability that represents the amount that the company owes to the bondholders.

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This is an example of a theoretical probability.

Theoretical probability assesses the possibility of specific occurrences occurring.

The ratio of all possible outcomes to the desired outcome is known as theoretical probability.

In this situation, the targeted result is a 2, which is only one of the six possible outcomes. In this scenario, the likelihood of obtaining a 2 is 1 ÷ 6 = 0.166.

Observance determines empirical probability. Nothing about the observing of the specified episode is indicated in the question, hence it is not an empirical probability.

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Answer:

-7 is answer of it 31-38 i hope you like it please mark me brilliant

Answer:

Hi! The answer to your question is \(y=3x-10\)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

y = 3x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, - 1) and (x₂, y₂ ) = (5, 5)

m = \(\frac{5+1}{5-3}\) = \(\frac{6}{2}\) = 3 , then

y = 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 5 ) , then

5 = 15 + c ⇒ c = 5 - 15 = - 10

y = 3x - 10 ← equation of line

The difference of (6d + 5) - (2 - 3d) is 9d + 3.

The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.

Given expression:

(6d + 5) - (2 - 3d)

Calculate the difference as shown below,

= 6d + 5 - 2 + 3d

= 9d + 3

Therefore, the difference of (6d + 5) - (2 - 3d) is 9d + 3.

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Answer:

B) 50

Step-by-step explanation:

That's the part that I'm not sure about I wish I could explain it to you. Just know that is the right answer though.

Colleen’s score on the test was equal to or greater than the scores of 50% percent of people

The test score is said to follow a normal distribution, and the given parameters are:

Score = 100

Standard deviation = 15

Mean score = 100

Start by calculating the z-score using:

\(z = \frac{x - \bar x}{\sigma}\)

So, we have:

\(z = \frac{100- 100}{15}\)

\(z = 0\)

Calculate the p value when z = 0.

From z table of probabilities, we have:

p = 0.5 when z >= 0

Represent as percentage

p =50%

Hence, Colleen’s score on the test was equal to or greater than the scores of 50% percent of people

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Answer:

5 branches

Step-by-step explanation:

Answer: 0.5

Step-by-step explanation:

4x1/8 is 1/2

1/2= 0.5

Note that the  scientists need to take at least 10 observations if they want the confidence interval to beno wider than 0.55 dyne-cm².

The formula to be used is

n = (t(α/2) * s)² / (E)²

where -

Given statistics

n = (2.576 * 0.66)² / (0.55)²

= 9.55551744

n ≈ 10

This means that the scientists will need about 10 observations if they need the confidence interval to be no wider than 0.55 dyne-cm².

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Answer:

30

Step-by-step explanation:

Answer:

Shreya gave 30 pieces of gum away.

Step-by-step explanation:

Equation: 65-?=35

Switch it up: 65-35=30

Solved Equation*65-30=35*

7.2 percent of the area of the original hexagon was removed

The area of hexagon is the region that lies within the sides of the hexagon. A hexagon is a two-dimensional shape that has 6 sides, 6 angles, and, 9 diagonals, and the sum of its interior angles is 720°

Area of the hexagon = (3√3 s2)/2, where 's' is the length of the side of the hexagon.

Her, We have

\(\(1-2s=s\sqrt3, 1=2s+s\sqrt3, 1=s(2+\sqrt3), s=\frac{1}{2+\sqrt3}\)\)

Rationalize the denominator to get \(\(s=2-\sqrt3\)\)

The area of the hexagon is  \(\(\frac{3\sqrt3}{2}\)\)  and the dodecagon is \(\(\frac{3s^2\sqrt3}{2}\).\)

The deleted area is \(\(s^2=0.072=7.2%\)\) percent

Formula used:

Area = (3√3 s2)/2

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If Lori made a fraction of 3/4 of a sketch, she spent 9 minutes sketching.

A portion of something is called a fraction. When the numerator and denominator are divided, a number is represented mathematically as a quotient. In a simple fraction, both are integers. A complex fraction contains a fraction in either the numerator or denominator. In a proper fraction, the numerator is smaller than the denominator.

Given the equation

m = 12s,

where

m is the number of minutes, and

s is the number of sketches.

Lori made 3/4 of a sketch i.e.

m = 12(3/4)

m = 9 mins

Thus, If Lori made 3/4 of a sketch, she spent 9 minutes sketching.

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Full question:-

Lori works as a cartoonist for a teen magazine. The time she spends sketching is given by the equation m = 12s, where m is the number of minutes and s is the number of sketches.

If Lori made 3/4 of a sketch, she spent ____ minutes sketching.

Answer:

They each brought $22 to the fair

Step-by-step explanation:

8+3=11

11*2=22

Answer=22