1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tresset_1 [31]
3 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]3 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.

You might be interested in
If g(x) = -8x+1. Find g(-2).
puteri [66]
-8*-2+1=16+1=17
g(-2)=17
7 0
3 years ago
Read 2 more answers
last year the cost of a season ticket for a rugby club £370. This year the cost of a season ticket for the club has been increas
Elden [556K]

Answer:

\frac{80}{370} OR \frac{8}{37}

Step-by-step explanation:

So first you find the difference between the new cost and the old cost:

450 - 370  = 80

So the increase was 80.

When you write it as a fraction you write the increase ( 80 ) over the starting cost ( 370 ).

Thus the answer becomes \frac{80}{370}

But you can always reduce it to its lowest terms thus:

\frac{8}{37}

HOPE THIS HELPED

4 0
3 years ago
A taxi charges $20 flat fee for the first 5 miles (even if it takes the rider one mile the cost is $20) and after that the addit
Free_Kalibri [48]
Ok so, we have the fact that 1.20 per mile Lets represent m as each additional mile so we have 1.20m which is That much per additional mile So For the first 5 functions we have f(1) = 20 f(2) = 20 f(3) = 20 f(4) = 20 f(5) = 20 Only for the first 5 miles though, since it is a flat fee. So for the additional miles we go back to what I said in the first Paragraph. 1.20m That is for additional miles, so that will be added to 20 So if you travel more than 5 miles the function looks like this: f(x) = 20 + 1.20m So the first 5 miles it is: f(x) = 20 For 7 mles the function would look like: f(7) = 20 + 1.20(2) It is a 2 because it is the additional mile, which is 2  hope this helps
7 0
3 years ago
Reduce the fraction -20t^5 u^2 v^3 over 48t^7 u^4 v
timofeeve [1]
.........................................................

5 0
3 years ago
200 years ago, as it became more and more evident that the
svp [43]

Answer:

The American population was 20% of the British population.

Step-by-step explanation:

Let us call A the american population, B the British population before the migration, and x the population that migrated from America to Britannia.

Now, the population x that migrated was 20% of the american population:

(1).\: \: x = 0.2A,

and the same population x increase the British population by 4%:

x+B = 1.04B \\\\ (2). \:\:x = 0.04B.

Combining equation (1) and (2) we get:

0.2A = 0.04B

A = \dfrac{0.04B}{0.2}

\boxed{A = 0.2B}

Thus, the American population was 20% of the British population.

5 0
3 years ago
Other questions:
  • 7) 19 = 9 + 2(x – 7)
    13·2 answers
  • Good at area pls helppp <br><br> Find the area. The figure is not drawn to scale.
    5·1 answer
  • find the difference in length between a walking stick and Bumblebee PLS HELP HURRY I KNOW ITS LATE BUT PLS HELP HURRY​
    7·1 answer
  • WILL MARK BRAINLIEST Suppose MyBook sent out 950 surveys. Which of these numbers of surveys being returned would prevent nonresp
    14·2 answers
  • A length of a rectangle is twice its width. The perimeter of the rectangle is 126 feet.
    10·2 answers
  • 7.005 in word form please help
    11·2 answers
  • Test !! please help ASAP
    14·1 answer
  • Find the area of the figure. please need help
    13·1 answer
  • Angie and Becky each completed a separate proof to show that the measures of vertical angles AKG and HKB are equal. Who complete
    15·1 answer
  • Julia's car used 1/100 of a gallon to travel 0.25 miles. How many miles can the car go on one gallon of gas? On the double numbe
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!