In the population served by the New York Blood Center, 45% have blood type O. Consider the next 15 blood donations to the center from unrelated individuals. (a) What is the probability that exactly three have blood type O? (Enter your answer rounded to four decimal places.)

Answers

Answer 1

Answer:

0.03177

Step-by-step explanation:

Prob (Bld grp) ~ Bin (N, P)

N = 15, P = Prob of success ie 'O' blood type = 0.45

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

Answer 2

a. The  probability that exactly three have blood type O is 0.03177

Calculation of the probability:

Since

Prob (Bld grp) ~ Bin (N, P)

So

N = 15,

P = Prob of success ie 'O' blood type = 0.45

Now

P (BG = 0) for 3 people = (N c X) P^X .  (1-P)^N-X

So,

As X = 3. So Prob = (15 c 3) (0.45)^3 (0.55)^12

= 455 (0.091125) (0.0007662)

= 0.03177  

hence, The  probability that exactly three have blood type O is 0.03177

Learn more about probability here: https://brainly.com/question/21102470


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Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

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Answer:15x+35=110

Step-by-step explanation:

If necessary, combine like terms. (5x+1)(5x-1)

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Answer:2 5x^2-1

Step-by-step explanation:

A pharmaceutical sales representative gets paid $50,000 annually plus
3.5% commission on total sales. This year he sold $420,000 in
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Answers

100% = $420,000

3.5% = 3.5/100 × 420,000

= $ 14,700

Commission he earned = $14,700

Annual total earnings= $50,000 + $14,700

= $ 64,700

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

150

Step-by-step explanation:

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Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

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Answer:

8/100 is equivalent to 0.08

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Step-by-step explanation:

A popular restaurant advertises that it delivers its orders within 30 minutes. Suppose the average delivery time for one store is 27 minutes with a standard deviation of three minutes. One particular order delivery has a z-score of –2.15. Which of the following statements is not a correct interpretation?

A.The delivery time was 2.15 standard deviations below the average delivery time.
B.The delivery time was less than the average delivery time by 2.15 standard deviations.
C.The delivery time was faster than the average delivery time by 2.15 standard deviations.
D.The delivery time was slower than the average delivery time by 2.15 standard deviations.

Answers

Answer: B. The delivery time was less than the average delivery time by 2.15 standard deviations.

Step-by-step explanation:

Given: A popular restaurant advertises that it delivers its orders within 30 minutes.

Suppose the average delivery time for one store is 27 minutes with a standard deviation of 3 minutes.

z-score value represents the number of standard deviations is the data value is far from mean.

Here, z-score = -2.15 which clearly indicates that the delivery time was 2.15 standard deviations below( '-' sign suggest value is below mean) the average delivery time.

Hence, the correct option is B.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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A.

Step-by-step explanation:

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Answer: 1.2

Step-by-step explanation:

first multiply 5 by 7 to get 35, and 5 by 4x to get 20x. Then add negative 7 to 35 and we have 28 subtract 28 from both sides getting 20x=20, so x is 1

How do you solve this? Without going into anything to complicated as this should be Year 10 maths

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Given : ABCD is a square with each side 5cm .

To Find : The area of the shaded region .

Solution : On observing the figure we can see two quadrants , quadrant ADC & quadrant ABC .

If we join A to C , then it will be common for triangles ADC & ABC . And they will be congruent by SSS congruence condition.

Therefore the area of both quadrants will also be equal . Now we can find area of quadrant as ;

[tex]\large\boxed{\red{\bf Area_{quadrant}=\dfrac{\pi r^2}{4}}}[/tex]

Here radius will be equal to 5cm .

⇒ Area = πr² / 4 .

⇒ Area = π (5cm)² / 4 .

⇒ Area = 22/7 × 25 × 4 cm².

Area = 19.64 cm² .

So , total area of both quadrants = 39.28 cm² .

Also , area of square will be :

[tex]\large\boxed{\bf{\red{Area_{square}=(side)^2}}}[/tex]

⇒ Area = 5cm × 5cm .

Area = 25 cm².

Now , subtract area of one quadrant from the area of square = 25cm² - 19.64 cm² = 5.36 cm².

Similarly area of other white region = 5.36cm² .

And the areas sum will be = 5.36cm² × 2 = 10.72cm² .

Now , from the figure it's clear that ,

⇒ Area of unshaded region + Area of shaded region = 25cm².

⇒ 10.72cm² + ar( Shaded region ) = 25cm².

⇒ ar ( Shaded region ) = 25cm² - 10.72cm².

ar ( Shaded region ) = 14.28 cm².

Hence the area of shaded region is 14.28 cm².

[tex]\large\boxed{\red{\bf Answer = 14.28cm^2}}[/tex]

A mug is 3/7 full. The mug contains 1/2 cup of water. Find the capacity of the mug

Answers

Answer:

7/6 cups of water is the mug's capacity

Step-by-step explanation:

Capacity refers to how much a container can contain.

Let x be the capacity of the mug.

According to the question, the mug is 3/7 full. This means that the mug contains 3/7 × x = 3x/7 of water.

It was further stated that the mug contains 1/2cup of water. This means that:

1/2 cup of water = 3x/7 of water in the mug

Hence;

1/2 = 3x/7

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x = 7/6

Therefore, the capacity of that mug is 7/6 cups of water.

The capacity of the the mug if it is 3/7 full and contains 1/2 cup of water is 7/6 cup

Capacity

Given:

Quantity of the mug = 1/2 cup

let

x = full capacity of the mug

Water in the mug = 3/7 of x

= 3/7x

Note:

Water in the mug = 1/2 cup

So,

3/7x = 1/2

divide both sides by 3/7

x = 1/2 ÷ 3/7

= 1/2 × 7/3

= 7/6

Therefore, the full capacity of the mug is 7/6 cup

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https://brainly.com/question/2929160

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Answer:

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

600 ×1200=720,000

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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