The growth rate of Covid patient is 5% per hour. If the number of Covid patient in the morning 8:00 am is 44,100, what was the number before 2 hours?
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a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

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Answer:

Step-by-step explanation:

F

2x-3=7

The answer would be 5.

Answer:

x=5

Step-by-step explanation:

2x−3=7

Add 3 to both sides.

2x=7+3

Add 7 and 3 to get 10.

2x=10

Divide both sides by 2.

x=10/2

Divide 10 by 2 to get 5.

x=5

By answering the presented question, we may conclude that As a result, the probability of not receiving a factor of two is 4/7, or "four-sevenths."

Probability is a measure of how likely an event is to occur. It is represented by a number between 0 and 1, with 0 representing a rare event and 1 representing an inescapable event. Switching a fair coin and coin flips has a chance of 0.5 or 50% since there are two equally likely outcomes. (Heads or tails). Probabilistic theory is an area of mathematics that studies random events rather than their attributes. It is applied in many disciplines, including statistics, economics, science, and engineering.

There are seven potential results from the spinner: 1, 2, 3, 4, 5, 6, and 7.

The numbers that are factors of two are 2, 4, and 6. As a result, the numbers 1, 3, 5, and 7 are not factors of 2.

The likelihood of receiving a number that is not a factor of two is:

P(not factor of 2) = total number of outcomes / number of outcomes that are not factors of 2.

P(without the factor of 2) = 4/7

As a result, the likelihood of not receiving a factor of two is 4/7, or "four-sevenths."

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Answer:

\(x=\frac{3}{2} - i\frac{\sqrt{7}}{2}\)

\(x=\frac{3}{2} + i\frac{\sqrt{7}}{2}\)

Step-by-step explanation:

We can use the quadratic formula to solve the equation:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -3, and c = 4. Substituting these values into the formula, we get:

x = (3 ± sqrt((-3)^2 - 4(1)(4))) / 2(1)

x = (3 ± sqrt(9 - 16)) / 2

x = (3 ± sqrt(-7)) / 2

Since the square root of a negative number is not a real number, the solutions to the quadratic equation are complex numbers. Therefore, the answer is:

\(x=\frac{3}{2}+i\frac{\sqrt{7} }{2}\)

\(x=\frac{3}{2} - i\frac{\sqrt{7}}{2}\)

The number of times Aarf the Dog bark for 15 seconds if the dog starts barking at midnight and stops at 1:01 AM is 91.5 times

Total time of barking and silence = 15 seconds + 25 seconds

= 40 seconds

Difference in time = 1:01 AM - 12:00 am

= 1 hour 1 minutes

Convert hours and minutes to seconds

1 hour 1 minutes = 61 minutes × 60 seconds

= 3,660 seconds

Number of times Aarf the Dog bark for 15 seconds = Total hours Aarf dog barks / Total time of barking and silence

= 3,660 / 40

= 91.5 times

So therefore, the number of Aarf the Dog bark for 15 seconds is 91.5 times

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Using the line of best fit, the correct statement that describes this result is given by:

D. The result is an outlier and there is no gap in the data.

The statements are missing, and are given as follows:

A. The result is not an outlier and there is a gap in the data.

B. The result is not an outlier and there is no gap in the data.

C. The result is an outlier and there is a gap in the data.

D. The result is an outlier and there is no gap in the data.

The line of best fit gives the expected exam score for a student that studies x hours. For example, for a student that studies 16 hours, the expected score is of 90.

The actual score is 61.4%, which is significantly less than the expected score, meaning that there is an outlier. However, there are no gaps in the data-set, as as the line considers students between 0 and 20 hours, and 16 is in this interval.

This means that option D is correct.

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The range where we would expect to find the middle 98% of most pregnancies is between approximately 234.04 and 285.96 days.

To find the range where we would expect to find the middle 98% of most pregnancies, we need to use the empirical rule or the 68-95-99.7 rule which states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, to find the range where we would expect to find the middle 98% of most pregnancies, we need to find the z-scores that correspond to the middle 1% on either side of the mean, and then use those z-scores to find the corresponding values in terms of days.

To find the z-score for the middle 1% on the right-hand side of the mean, we need to find the z-score that corresponds to the 99.5th percentile of the standard normal distribution:

z = invNorm(0.995) ≈ 2.33

To find the corresponding value in terms of days, we can use the formula:

x = μ + zσ

where x is the value we want to find, μ is the mean, σ is the standard deviation, and z is the z-score we just found:

x = 260 + 2.33(12) ≈ 285.96

So, we would expect that 0.5% of pregnancies would be longer than approximately 285.96 days.

To find the z-score for the middle 1% on the left-hand side of the mean, we need to find the z-score that corresponds to the 0.5th percentile of the standard normal distribution:

z = invNorm(0.005) ≈ -2.33

To find the corresponding value in terms of days, we can use the same formula as before:

x = μ + zσ

where x is the value we want to find, μ is the mean, σ is the standard deviation, and z is the z-score we just found:

x = 260 - 2.33(12) ≈ 234.04

So, we would expect that 0.5% of pregnancies would be shorter than approximately 234.04 days.

Therefore, the range where we would expect to find the middle 98% of most pregnancies is between approximately 234.04 and 285.96 days.

If we were to draw samples of size 46 from this population, the standard error of the mean would be:

SE = σ/√n = 12/√46 ≈ 1.77

To find the range where we would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we can use the same method as before, but with the standard error instead of the population standard deviation:

To find the z-score for the middle 1% on the right-hand side of the mean, we need to find the z-score that corresponds to the 99.5th percentile of the standard normal distribution:

z = invNorm(0.995) ≈ 2.33

To find the corresponding value in terms of days, we can use the formula:

x = μ + z(SE)

where x is the value we want to find, μ is the mean, SE is the standard error, and z is the z-score we just found:

x = 260 + 2.33(1.77) ≈ 264.13

So, we would expect that 0.5% of sample averages would be larger than approximately 264.13

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Answer:

9 , 15

Step-by-step explanation:

HCF = 3

LCM = 45

Product of two numbers = HCF * LCM

                                        = 3*45

                                       = 135

The two numbers are the factors of 135

9 * 15 = 135

9 = 3*3

15 = 3 * 5

HCF = 3

LCM = 3* 3 * 5 = 45

Answer: about 2.2 times 8^8

Step-by-step explanation:

Pay the money x=y^2

Answer:

So The Answer would be 600=1.05x and 600=1.06x for part A and B

Step-by-step explanation:

For Part B If there goal is to raise 600$ then 5% of 600$ = 30$ per roll of wrapping paper;

Part A: 600= 1.05x

The expression 1.05 represents the 5% increase for X wrapping paper sold to the equivalent of 600$  

For end of the Question Im unsure what they mean they "missed there goal of raising 5600?.. 5600$ or 560.0$?"

The scale of the first map is 1cm : 40 km

The scale of the second map is 1 cm : 1.25 km

The scale  of the third map is 1 cm : 12.50 km

A scale drawing is a smaller image of an original image. The map is a scale drawing.

Scale of the drawing = original dimensions / dimensions of the scale drawing

Scale of the first map : 120 / 3 = 40

The scale is 1cm : 40 km

Scale of the second map : 4 / 3.2 = 1.25

The scale is 1 cm : 1.25 km

Scale of the third map: 50 / 4 = 12.5

The scale  is 1 cm : 12.50 km

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Answer:

please help with this

Step-by-step explanation:

Answer:

23? mabey

Step-by-step explanation:

jduahejwjwhswiw

The length of the bracket after 1 iteration is 100%.

Let  f(x) = x³-15x² + 50x

a = 0, b=10.

Let the golden ratio be  

GR=√5-1 / 2=0.618

Now, d = GR (b-a)

= 0.618 (10-0) = 6·18

\(x_{1}\)= a+d = 0 + 6·18 = 6.18

\(x_{2}\) = b-d = 10- 6·18 = 3.82

f(\(x_{1}\)) = (6·18)³ - 15 (6·18)² + 50(6·18) = -27.887  

f(\(x_{2}\)) = (3.82)³-15(3.82)²+50(3.82)=27.857

so, f(\(x_{2}\)) > f(\(x_{1}\)) new interval is [a,x,]

i.e., maximum lies in [0, 6·18]

so, Xmax = \(x_{2}\)= 382

Uncertainty in measurement will be,

∈= \(\frac{1-GR) (b-a)}{Xopt}\) =\(\frac{((1-0.618) X (10-0)}{382}\) × 100%

∈ = 100%

In arithmetic, quantities are within the golden ratio if their ratio is the same as the ratio in their sum to the larger of the 2 portions. Expressed algebraically, for quantities a and b with \(a > b > 0\), \(\frac{(a+b)}{a}\) = \(\frac{a}{b}\)= φ

The golden ratio turned into known as the acute and suggest ratio by way of Euclid, and the divine proportion using Luca Pacioli, and also is going through numerous other names. The golden ratio seems in some patterns in nature, such as the spiral association of leaves and different elements of plants.

A few twentieth-century artists and architects, together with Le Corbusier and Salvador Dalí, have proportioned their works to approximate the golden ratio, believing them to be aesthetically appealing. these uses often appear in the form of a golden rectangle.

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Answer:

I think it is -1/3

pick 2 points.

subtract y2 from y1

subtract x2 from x1

Answer:

The slope of the line on this graph would be -1/3.

Step-by-step explanation:

Slope-intercept form is y=mx+b. You find slope by taking rise over run. In this case, the rise would be 2 and the run would be 6 (-2/6). You simplify the fraction to get -1/3. Since the line falls from left to right, the slope is negative. The slope-intercept form for this problem would be -1/3x+4.

Answer:

61 and 67

Step-by-step explanation:

Answer:

The only prime numbers between 60 and 70 are 61 and 67 -->

Step-by-step explanation:

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

The student answered 21 questions correctly on a test.

In mathematics, Multiplication operations perform Multiplying values on either side of the operator.

For example 4×2 = 8

Since the student made an 85% on a test with 25 questions.

To determine the number of questions the student answered correctly, we need to multiply the number of questions by the percentage of questions answered correctly, which is 85%.

= 25 questions × 0.85

Apply the multiplication operation, and we get

= 21.25

Rounding to the nearest whole number,

= 21 questions

Thus, the student answered 21 questions correctly.

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Answer:

24.84

Step-by-step explanation:

Hopefully this helps! let me know if it doesn't

Answer:

p=5/8

Step-by-step explanation:

you first have to work out the brackets

5p+7=3(4-p)

5p+7=12-3p

then you have to group the like terms

5p+3p=12-7

8p=5

8p/8=5/8

p=5/8

you can also live it as a decimal

I hope this helps

Answer: p = 5/8

Explanation:

⇒5p + 7 = 3(4 -p)

⇒5p + 7 = 12 - 3p

⇒5p + 3p = 12 - 7

⇒8p = 5

⇒p = 5/8

Must click thanks and mark brainliest

The probability of selecting red balls from a bag containing both red and blue balls is equal to the number of red balls divided by the total number of balls. In this example, let's assume there are 10 red balls and 10 blue balls, so the probability of selecting a red ball would be 10/20 or 1/2, or 50%.

To explain further, the probability is the likelihood of an event occurring and is expressed as a number between 0 and 1, or a percentage between 0% and 100%. A probability of 0 means the event will never happen, while a probability of 1 means it will always happen. The probability of selecting a red ball in this example is 50%, meaning that it is equally likely to select either a red ball or a blue ball.

In other words, if the bag contained 10 red balls and 10 blue balls and you randomly selected one ball from the bag, there is a 50% chance that the ball will be red and a 50% chance that the ball will be blue.

If the number of red balls or blue balls changes, the probability of selecting a red ball would also change. For example, if the bag contained 6 red balls and 10 blue balls, the probability of selecting a red ball would be 6/16 or 3/8, or 37.5%.

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The expression -2.2f + 0.8f - 11 - 8 when simplified is -1.4f - 19

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

-2.2f+0.8f-11-8=

Express properly

So, we have

-2.2f + 0.8f - 11 - 8

When the like terms are collected, we have

-2.2f + 0.8f - 11 - 8 = -2.2f + 0.8f - 11 - 8

When the like terms are evaluated, we have

-2.2f + 0.8f - 11 - 8 = -1.4f - 19

Hence, the expression when simplified is -1.4f - 19

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\(\text{She is not correct because}\\\\20\% = \dfrac{20}{100} = \dfrac 2{10} = 0.2 \neq 0.02\)

Step-by-step explanation:

-49+14p=-22+5p

-49+22=5p-14p

-27=-9p

p=3

Answer:

I have never heard of it sorry

Answer:

i have

Step-by-step explanation:

Tthe area enclosed by the lemniscate is 4 units squared.

The lemniscate is symmetric about the x-axis and y-axis, so we can find the area in the first quadrant and multiply it by 4.

In polar coordinates, the equation of the lemniscate can be written as:

r^2 = 4cos(2θ)

Squaring both sides, we get:

r^4 = 16cos^2(2θ)

Converting to Cartesian coordinates, we have:

x^2 + y^2 = 16cos^2(2θ)

Using the identity cos(2θ) = (1/2)(cos^2θ - sin^2θ), we can simplify the equation to:

x^2 + y^2 = 8(cos^4θ - cos^2θsin^2θ)

Multiplying both sides by r, we get:

r^2 = 8r(cos^4θ - cos^2θsin^2θ)

Substituting x = rcosθ and y = rsinθ, we get:

x^2 + y^2 = 8(x^2 - xy + y^2)(x^2 + y^2)

Simplifying, we get:

x^4 - 2x^2y^2 + y^4 = (1/8)

This is the equation of a quartic curve, which is symmetric about the x-axis and y-axis.

To find the area enclosed by the lemniscate in the first quadrant, we can integrate over the range 0 ≤ θ ≤ π/4:

A = 4 ∫[0,π/4] ∫[0,r(θ)] r dr dθ

where r(θ) = 2√cos(2θ).

Evaluating the integral, we get:

A = 4 ∫[0,π/4] ∫[0,2√cos(2θ)] r dr dθ

= 4 ∫[0,π/4] (1/2)(2√cos(2θ))^2 dθ

= 4 ∫[0,π/4] 2cos(2θ) dθ

= 4[sin(π/2) - sin(0)]

= 4

Therefore, the area enclosed by the lemniscate is 4 units squared.

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Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication is the switching of the order first factor  (multiplicand) and the second factor (multiplier), which does not change the product. For example, 4 × 5 = 5 × 4

-5 × 12 = -60

12 × -5 = -60

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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