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tresset_1 [31]
2 years ago
12

The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is f(x)=0.0

4 for 50 A) What percentage of tests require more than 70 seconds to complete?
b) What percentage of tests require less than one minute to complete?
c) Determine the mean and variance of the time to complete a test on a sample.
Mathematics
1 answer:
uysha [10]2 years ago
3 0

Answer:

a) 20%

b) 40%

c) Mean = 62.5 seconds; Variance = 52.083 seconds

Step-by-step explanation:

The time it takes a hematology cell counter to complete a test on a blood sample is continuously distributed over the period of 50 to 75 seconds with probability f(x) = 0.04.

a) The percentage of tests require more than 70 seconds is:

P(X>70) = 1- \frac{70-50}{75-50} \\P(X>70) =0.2 = 20\%

b)The percentage of tests that require less than one minute (60 seconds) is:

P(X70) =0.4 = 40\%

c) The mean and variance of a continuous distribution are determined by:

M=\frac{A+B}{2}=\frac{50+75}{2}\\ M= 62.5\ seconds\\\\V=\frac{(B-A)^2}{12}=\frac{(75-50)^2}{12}\\  V= 52.083\ seconds

Mean = 62.5 seconds.

Variance = 52.083 seconds.

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Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see  that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are  (5,-3).

Distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-3-5)^2+(-1+1)^2}=8 units

BC=\sqrt{(5+1)^2+(-3+3)^2}=6 units

AC=\sqrt{(5+1)^2+(-3-5)^2}=10 units

Pythagoras theorem:(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}

AB^2+BC^2=8^2+6^2=100

AC^2=(10)^2=100

Therefore, AC^2=AB^2+BC^2

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is  a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula:x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Using this formula then, we get

Mid-point of hypotenuse AC is given by

x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1

Hence, the circum-center of triangle is (2,1).

7 0
1 year ago
D2-9k+3 for d=10 and k=9
AVprozaik [17]

Answer:

22

Step-by-step explanation:

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22

8 0
1 year ago
Find the functions y-intercept algebraically
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DerKrebs [107]

Answer:

Orthographic Projection is used for making the projects but Isometric Projection is used to have better understanding of the object.

Orthographic drawings are typically two dimensional views of an object. For instance, if you were designing a table, you would draw a top view, side view and a bottom view. Should these three views not fully explain the design of the table other views would need to be drawn. When drawing an perspective view in an orthographic manner, you would utilize a 45 degree triangle for the lines that extend back or forward from the vertical lines. This type of perspective is not a true perspective because you can measure the true length of all the details shown. An isometric drawing is meant to depict a 3D image of an object in what appears to be a perspective view. However, similar to an orthographic perspective, all of the lines in an isometric drawing can be measured to their true length. What makes it different from an orthographic perspective is that its angled lines are drawn at 30 or 60 degrees or divisions of them. Drawing this by hand you would use a 30/60/90 triangle.

In either case, both types of perspectives can be accurately measured with a ruler in order to know the objects measurements.

Step-by-step explanation:

5 0
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A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.
svp [43]
2,070mg 86%
— = —
? mg 100%

Cross multiply (2,070 X 100) which equals 207,000

Then divide 207,000 by 86 which equals
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Then you round so you get 2,407


The Answer is 2,407 milligrams
5 0
1 year ago
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