the number of red blood cells per square unit visible under a microscope follow a poisson distribution with a mean of 4. find the probability that more than 5 such blood cells are visible to the observer

Side of square = Radius of circle = 4cm

Area of full circle

= πr²

= (22/7) × 4cm × 4cm

= 352/7 cm²

Area of the quarter of circle

= Area of full circle/4

= (352/7)/4

= (352/7) × (1/4)

= 352/28

= 12.571 {approximately}

Answer:

between 4 and 20......................

The number should be bigger than difference of both sides and smaller than sum of both sides.

So

12+8=20

12-8=4

So it should be 4<x<20

which means between 4 and 20

Do you really have brown eyes?

Answer:

4 < x < 20

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

12 - 8 < x < 12 + 8

4 < x < 20 ← range of values for third side

The statistical method that would be best to use in this situation is b) Regression analysis.

Regression analysis is a statistical technique used to examine the relationship between a dependent variable (in this case, the number of students registering each semester) and one or more independent variables (such as time, semester, or any other relevant factors). By analyzing past data on the number of students registering each semester, regression analysis can help identify trends, patterns, and the average number of students registering.

Using regression analysis, the university can estimate the average number of students registering each semester based on historical data and use this information to plan how many classes to run in the upcoming semester. It allows for a quantitative analysis and prediction based on the relationship between variables, making it a suitable choice for estimating the average number of students in this scenario.

Hence the answer is Regression analysis.

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Since I like hot weather, I would rather go to Rome with a temperature 27-degree c than to Majorca with an average temperature of 80F.

The temperature is converted from Celsius to Fahrenheit using this formula. Scales of temperature offer a means of determining how warm or frigid a body is. Temperature scales include Celsius and Fahrenheit. The Formula of celsius to Farhenhite is  F= 9/5×C+ 32.

To compare the temperatures of both the places, we will first convert them to similar Units so that the comparison becomes easy. We will Change both the units to the Farhenhite unit as follows.

The temperature of Rome:

F = 9/5×27+32

F= 80.6

Therefore the temperature of Majorca is 80F and that of Rome is 80.6. More temperature means more hot weather. Therefore Roma will be hotter in August than Majorca.

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Answer:

Y = 4/3 x + 5

Step-by-step explanation:

Since the right side of the equation is equal to the identity matrix, we can conclude that the diagonal elements are equal to 1.

To find \( A \), start by multiplying both sides by \( (4A) \). Then, you will have \( (4A)^{-1}(4A)=\left[\begin{array}{ll} 5 & 2 \\ 4 & 2 \end{array}\right] \). This simplifies to \( \left[\begin{array}{ll} 5A & 2A \\ 4A & 2A \end{array}\right] \). Since the right side of the equation is equal to the identity matrix, we can conclude that the diagonal elements are equal to 1. This means that \( 5A=1 \) and \( 2A=1 \). Solving these two equations yields \( A=\frac{1}{5} \).

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Answer:

It seperates the people who are using shark fin and the ones who are using a placebo. That way, that variable is already distinguished and leads to greater accuracy.

The block design distinguishes between those who are consuming shark fin and those who are taking a placebo. By doing so, that variable can already be identified, which improves accuracy.

A complex ailment known as chronic fatigue syndrome (CFS) is defined by excessive exhaustion that lasts for at least six months and that is not fully explained by an underlying medical condition. Exercise or mental effort makes the weariness worse; rest does not make it better.

We choose to utilize a block design with the men forming one block and the ladies the other in order to ensure that four men and two women are assigned to each of the treatments.

It distinguishes between those who are consuming shark fin and those who are taking a placebo. By doing so, that variable can already be identified, which improves accuracy.

Therefore, that reason is a block design appropriate for this experiment.

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To find the curl of F, we need to compute the determinant of the following matrix:

| i    j    k   |

| ∂/∂x ∂/∂y ∂/∂z |

| 2xy  10y  7z  |

Expanding the determinant, we get:

i(7 - 0) - j(0 - 0) + k(0 - 20x)

= (7 - 20x)k

Therefore, the curl of F is (0, 0, 7 - 20x).

To check if there is a function f such that F = ∇f, we need to compute the partial derivatives of each component of F with respect to the corresponding variable. If these partial derivatives are equal, then there exists a scalar function f such that F = ∇f.

∂F_x/∂y = 2x

∂F_y/∂x = 2x

Since these partial derivatives are not equal, there is no function f such that F = ∇f. Therefore, the answer is "no" (n).

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The shark swims for 96 minutes at speed of 25 miles per hour.

What is speed?

Speed can be defined as the total distance covered to the total time taken. It's S.I. unit is given by m/s². Speed is a scalar quantity as it doesn't consider direction and only has magnitude.

Formula for speed = total distance travelled /total time taken

Main Body:

The shark travels 25 miles in 60 min.

Therefore time taken to travel 1 mile = 60/25

Now time taken to travel 40 miles = (60/25)*40

total time = 96 minutes

Hence the answer is 96 minutes.

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Answer:

The answer is B) -5

Step-by-step explanation:

It is -5 because if you take monday's temperature and subtract it by tuesday's temperature. You get -5

-2-3=-5

If the center of the sampling distribution is not equal to the true value of the parameter, it is considered biased.

1. A sampling distribution represents the distribution of sample statistics from multiple samples taken from the same population.
2. If the center of this sampling distribution, such as the mean or median, is not equal to the true value of the parameter, it indicates a systematic error or bias in the sampling process.
3. Bias can occur due to various reasons, including sampling methods, non-response, measurement errors, or confounding variables. It is important to minimize bias to obtain accurate estimates of population parameters.
Therefore, if the center of the sampling distribution is not equal to the true value of the parameter, it is considered biased, which can lead to inaccurate estimations.

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Answer: y=5x-11

Step-by-step explanation:

y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation of line is y= -1/5x + 1/4

The slope of the perpendicular line is 5.

We need to find  line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)

4=5(3)+b

-11=b

Hence, y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).

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In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

8:3

15/8

Step-by-step explanation:

flour : water

2 : 3/4

8 : 3

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

5 : x

x=3➗8✖5

x=15/8

Answer:

Step-by-step explanation:

so you have 2 cups of flour- 2.0

then you have 3/4 cup of water which can be converted to 0.75

the ratio amount of flour to water would be = 2:0.75

so the change from 2 cups of flour to 5 is  x by 2.5

so times 0.75 by 2.5 and you get 1.875 change it back to a fraction which is 15/8 and there's your answer

Answer:

it the 3rd one

Step-by-step explanation:

Answer:

3rd one

hope this helps :)

Answer:

I may be wrong, but the answer I got is 205°

Answer:

The coefficient is 3.

Step-by-step explanation:

Coefficients are the number placed before the variable. The constant is the number that stays the same, and the variable is an unknown value represented by a letter.

Answer:

66

Step-by-step explanation:

\(a_{n}\) = \(a_{1}\) + (n-1)d

\(a_{n}\) is the term that we are looking for.  In this case, \(a_{7}\)

\(a_{1}\) is the first term in the sequence. In this case, 12

n  is the term that we are looking for.  In this case, 7

d is the common difference.  The sequence is going up by 9 each time

\(a_{7}\) = 12 + (7 - 1)9

\(a_{7}\) = 12 + 6(9)

\(a_{7}\) = 12 + 54

\(a_{7}\) = 66

Helping in the name of Jesus.

For a catering company, which used the linear function for calculating the total cost of parties, the cost to cater a dinner party with 90 guests is equals to the $42750.

We have a table form data of total cost of parties for a catering company. There is use of linear function to determine total cost of parties. Table look like as below,

Cost for dinner parties | number of guests

(each guest)

$315 30

$555 60

We have to determine the cost to cater a dinner party with 90 guests. For this we use simple multiplication arithmetic method. As we see in table, cost of cater a dinner party with 30 guests = $315 for each , that is cost for one guest = $315

so, cost of cater a dinner party with 30 guests = 30 × $315 = $ 9450

Similarly, when number of guests is 60 in count, cost of cater a dinner party = $555 for each one

So, total cost of cater a dinner party with 60 guests = 60× $555 = $ 33300

Now, we have total guest = 90

The cost to cater a dinner party with 90 guests

= cost to cater a dinner party with 30 guests + cost to cater a dinner party with 60 guests = $9450+ $33300

= $42750

Hence, required value is $42750.

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Answer:

468 minutes

Step-by-step explanation:

Given data

At a race a few months ago, she finished in 360 minutes

let us find 30% of 360 minutes

=30/100*360

=0.3*360

=108 minutes

Hence she finished with an added time of 108minutes

Therefore, in all she finished in

=108+360

=468 minutes

The confidence intervals for the dataset are as follows:

95% confidence interval: [66.9418, 72.8582]

99% confidence interval: [65.3584, 74.4416]

99.9% confidence interval: [64.7246, 75.0754]

To construct confidence intervals for the given dataset, we first need to calculate the sample mean and sample standard deviation.

Sample Mean (x):

The sample mean is calculated by summing up all the values in the dataset and dividing by the total number of values.

x = (68.4 + 65.1 + 76.9 + 70.3 + 71.5 + 66.3 + 70.9) / 7 = 69.9

Sample Standard Deviation (s):

The sample standard deviation measures the spread of the data points around the mean.

It is calculated using the following formula:

s = √[(∑(xi - x)²) / (n - 1)]

where xi represents each data point, x is the sample mean, and n is the total number of data points.

s = √[((68.4 - 69.9)² + (65.1 - 69.9)² + (76.9 - 69.9)² + (70.3 - 69.9)² + (71.5 - 69.9)² + (66.3 - 69.9)² + (70.9 - 69.9)²) / (7 - 1)]

s ≈ 3.4008

Now we can calculate the confidence intervals using the sample mean and standard deviation.

95% Confidence Interval:

For a 95% confidence interval, we can use the t-distribution with n-1 degrees of freedom. Since we have 7 data points, the degrees of freedom is 6. The critical value for a 95% confidence interval and 6 degrees of freedom is approximately 2.447.

The formula for the confidence interval is:

CI = x ± (t(s / √n))

CI = 69.9 ± (2.447(3.4008 / √7))

CI ≈ 69.9 ± 2.9582

CI ≈ [66.9418, 72.8582]

99% Confidence Interval:

For a 99% confidence interval, the critical value with 6 degrees of freedom is approximately 3.707.

CI = 69.9 ± (3.707 (3.4008 / √7))

CI ≈ 69.9 ± 4.5416

CI ≈ [65.3584, 74.4416]

99.9% Confidence Interval:

For a 99.9% confidence interval, the critical value with 6 degrees of freedom is approximately 4.032.

CI = 69.9 ± (4.032(3.4008 / √7))

CI ≈ 69.9 ± 5.1754

CI ≈ [64.7246, 75.0754]

Therefore, the confidence intervals for the dataset are as follows:

95% confidence interval: [66.9418, 72.8582]

99% confidence interval: [65.3584, 74.4416]

99.9% confidence interval: [64.7246, 75.0754]

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Answer:

2.4%

Step-by-step explanation:

Answer:

2.4 percent

Step-by-step explanation:

Answer:

I think it is C) The line will contain points whose y-coordinate will decrease in value as you move to the right

Step-by-step explanation:

HOPE THIS HELPS

The probability that battery lasts more than 3 years is \(e^{-0.6 }\).

Parameter of Exponential Distribution

It is given that the average lifespan of the car battery = 5 years

⇒ μ = 5

And, we have to find the probability that the car battery lasts more than 3 years.

Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,

1/ λ = μ

⇒ λ = 1/5

Calculating the Probability

The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.

P(N>3) = 1 - P(N≤3)

P(N>3) = 1-F(4)

Here, F is the exponential distribution  for the lifespan of the car battery.

P(N>3) = 1-(1-e^(-λn))

P(N>3) = \(e^{-3/5}\)

Thus, the required probability is,

P(N>3) = \(e^{-0.6 }\)

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àaaaaaaaaaqqqqqheeeee

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

The solutions of the equation as ordered pairs is:

(1, 18), (2, 31), (3, 44), (4, 57)

In order to use the x-values: 1, 2, 3, and 4 to write solutions of the equation y = 13x + 5 as ordered pairs, substitute the values of x into the equation and calculate y. That is:

when x = 1:

y = 13(1) + 5 = 18

when x = 2:

y = 13(2) + 5 = 31

when x = 3:

y = 13(3) + 5 = 44

when x = 4:

y = 13(4) + 5 = 57

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