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kondaur [170]
3 years ago
13

The red blood cell counts​ (in millions of cells per​ microliter) for a population of adult males can be approximated by a norma

l​ distribution, with a mean of million cells per microliter and a standard deviation of million cells per microliter. ​(a) What is the minimum red blood cell count that can be in the top ​% of​ counts? ​(b) What is the maximum red blood cell count that can be in the bottom ​% of​ counts?
Mathematics
1 answer:
skad [1K]3 years ago
6 0

Answer:

(a) Minimum red blood cells 5.744 million cells per micro liter

(b) Maximum red blood cells 5.068 million cells per micro liter.

Step-by-step explanation:

Z-score formula is = \frac{x-u}{Standard deviation}

Z-score = \frac{x-5.5}{0.4}

The value of z-score is 0.61 so then x will be;

x = 5.744

The minimum red blood cells count that can in top is 27% of count which is 5.744 million cells per micro liter.

Z-score = \frac{x-5.5}{0.4}

The value of z-score is 0.14 so then x will be;

x = 5.068

The maximum red blood cells count that can be in top is 14% of count which is 5.068 million cells per micro liter.

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The volume of a 10 ounce box of cheerios is 258.75in3. the length of the box is 4 inches less than the height and the width is 3
Marina86 [1]

Answer:

Height of the box = 11.5 in

Step-by-step explanation:

Let h be the height of the box.

Assuming the volume of the Box is 258.75\ in^3.

Given:

Length = Height - 4 = h - 4

Width = 3 in

We need to find the height of the box.

Solution:

We know that the volume of the box.

Volume = Length\times height\times width

Substitute all given value in above formula.

258.75 = (h-4)\times h\times 3

Rewrite the equation as:

258.75 = 3h(h-4)

258.75 = 3h^2-12h

3h^2-12h-258.75=0

whole equation divided by 3.

h^2-4h-86.25=0

Use quadratic formula with a = 1, b = -4,c=-86.25

h=\frac{-b\pm \sqrt{(b)^{2}-4ac}}{2a}

Put these a, b and c value in above equation.

h=\frac{-(-4)\pm \sqrt{(-4)^{2}-4(1)(-86.25)}}{2(1)}

h=\frac{4\pm \sqrt{16+345}}{2}

h=\frac{4\pm \sqrt{361}}{2}

h=\frac{4\pm 19}{2}

For positive sign

h=\frac{23}{2}  

h = 11.5 in

For negative sign

h=\frac{-15}{2}

h = -7.5

We take positive value of h.

Therefore, the height of the box h = 11.5 in

4 0
3 years ago
How to do this because I don't know my class work
salantis [7]
I assume the answer is 1/4
5 0
4 years ago
What is the measure of the base of the rectangle if the area<br> of the triangle is 32 ft2 ?
irga5000 [103]

Answer:

The measure of the base of the rectangle if the area

of the triangle is 32 ft2 is <u>8 feet</u>

Step-by-step explanation:

4x=32

\frac{32}{4}=8

Thus, <u>8 feet</u> is your answer

5 0
2 years ago
Read 2 more answers
Estimates of the number of cells in the human body vary over an order of magnitude.​ Indeed, the precise number varies from one
Amiraneli [1.4K]

Answer:

a) 2.00 × 10¹⁰;  b) 2.00 × 10¹³

Step-by-step explanation:

a) No. of cells in 1 cm³

\text{No. of cells} =\text{1 cm}^{3} \times\left( \dfrac{\text{1 m}}{\text{100 cm}}\right )^{3} \times \left (\dfrac{1 \, \mu \text{m} }{10^{-6}\,\text{ m}}\right )^{3} \times  \dfrac{\text{1 cell}}{\text{50 $\,\mu$m}^{3}} = \mathbf{2.00 \times 10^{10}} \textbf{ cells}

b) No. of cells in 1 L

\text{No. of cells} =  \text{1 L} \times \dfrac{\text{1000 cm}^{3}}{\text{1 L}} \times \dfrac{2 \times 10^{10} \text{ cells}}{\text{1 cm}^{3}} = \mathbf{2.00 \times 10^{13}} \textbf{ cells}

7 0
3 years ago
gina is training for a marathon she ran 4.6 miles on Friday and 6.7 miles on Saturday on Sunday she ran 13 miles how much furthe
evablogger [386]
4.6 + 6.7 is 11.3 and 13 - 11.3 is 1.7
5 0
4 years ago
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