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Soloha48 [4]
2 years ago
7

Let's say the area of the map is 21

Mathematics
1 answer:
patriot [66]2 years ago
6 0
Keep up the good work man
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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
uysha [10]

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.

3 0
2 years ago
A hotel charges $20 for the use of its dining room and $2.50 a plate for each dinner. an association gives a dinner and charges
Nina [5.8K]

Answer:

40

Step-by-step explanation:

20 + 2.5x = 3x

20 = 0.5x

x = 40

8 0
1 year ago
Read 2 more answers
Work out the percentage change to 2 decimal places when a price of £87.95 is decreased to £70.
kap26 [50]

Answer:

20.41%

Step-by-step explanation:

87.95 - 70 = 17.95

17.95 / 87.95= 0.20409323479

0.20409323479 x 100 = 20.409323479

round it

= 20.41%

5 0
2 years ago
Read 2 more answers
the dot plot above identifies the number of pets living with each of 20 families in an apartment building .what fraction of fami
harkovskaia [24]

Answer:

B. ⅕

Step-by-step explanation:

Fraction of families having more than 2 pets = families with pets of 3 and above ÷ total number of families in the apartment

From the dot plot above, 3 families have 3 pets, and 1 family has 4 pets.

Number of families with more than 2 pets = 3 + 1 = 4

Fraction of families with more than 3 pets = \frac{4}{20} = \frac{1}{5}

4 0
1 year ago
What value of x is in the solution set of 2(3x – 1) ≥ 4x – 6?
Angelina_Jolie [31]

For this case we must find the value of the variable "x" of the following expression:

2 (3x-1) \geq4x-6

We apply distributive property to the terms within parentheses: 6x-2 \geq4x-6

We subtract 4x on both sides:

6x-4x-2 \geq-6\\2x-2 \geq-6

We add 2 to both sides:

2x \geq-6 + 2\\2x \geq-4

We divide between 2 on both sides:

x \geq \frac {-4} {2}\\x \geq-2

Answer:

x \geq-2

5 0
2 years ago
Read 2 more answers
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