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
Klio2033 [76]
3 years ago
8

Human blood may contain either or both of two antigens, A and B. Blood that contains only the A antigen is called type A, blood

that contains only the B antigen is called type B, blood that contains both antigens is called type AB, and blood that contains neither antigen is called type O. At a certain blood bank, 35% of the blood donors have type A blood, 10% have type B, and 5% have type AB.
Round the answers to two decimal places

(a) What is the probability that a randomly chosen blood donor is type O?

(b) A recipient with type A blood may safely receive blood from a donor whose blood does not contain the B antigen. What is the probability that a randomly chosen blood donor may donate to a recipient with type A blood?

(c) If someone has the A antigen, what is the probability that they are type AB?
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

A. 0.50

B. 0.85

C. 0.05

Step-by-step explanation:

A. Based on the initial statistics, 50% of the blood type is blood type O, hence the probability of choosing bold type O at random is 50/100, which is 0.50 to two decimal places.

B. The total number of donors that can donate to Blood type A is 85%, thus, the probability is 85/100, which is 0.85 to two decimal places.

C. The percentage of people that have the type AB blood is 5%, thus the probability of someone having the A antigen and blood type AB is 5/100, which is 0.05 to two decimal places.

You might be interested in
A theater group made appearances in two cities. The hotel charge before tax in the second city was $500 higher than in the first
Leni [432]

Answer:

The amount before tax at the first hotel be x = $3500

The amount at the second hotel will be x+500 = $4000

Step-by-step explanation:

Let the amount before tax at the first hotel be x

The amount at the second hotel will be x+500

The tax in the first city was 5.5% = 0.055

the tax in the second city was 7.5% = 0.075

Hence, we have

0.055(x) + 0.075(x + 500) = $492.50

0.055x + 0.075x +37.5 = 492.50

0.13x = 492.50 -37.5

0.13x = 455

x = 455/0.13

x = $3500

The amount before tax at the first hotel be x = $3500

The amount at the second hotel will be x+500 = $3500 + $500

= $4000

7 0
3 years ago
Scientists have found that the relationship between the area of an island and the number of species can be modeled approximately
vagabundo [1.1K]

Answer:

A=e^{(S+3.404/103.2)

Step-by-step explanation:

Step one:

we are told that the relationship between the number of species and the island area is given as

S=-3.404+103.2ln(A)-----------------1

based on any given value for either area or number of species, we can find the other.

say we want to find the land area for a given amount of specie

Step two:

we first make area A subject of the formula.

S=-3.404+103.2ln(A)

let us isolate   ln(A)

S + 3.404 = 103.2ln(A)

Divide both sides by 103.2 we have

(S + 3.404)/103.2 = ln(A)

Now, exponentiate both sides using the base e.

A=e^{(S+3.404/103.2)----------------2

for a given value of "S" we can find the area   A based on the above expression.

7 0
3 years ago
In the Health ABC Study, 543 subjects owned a pet and 1977 subjects did not. Among the pet owners, there were 293 women; 975 of
True [87]

Answer:

The proportion of pet owners who were women is 0.540.

The proportion of non-pet owners who were women is 0.493.

Step-by-step explanation:

The data provided is summarized in the table below.

               Pet Owners      Non-Pet Owners    TOTAL

Men              250                       1002                1252

Women         293                        975                1268

TOTAL          543                       1977                2520

Denote the events as follows:

<em>W</em> = a subject is a women

<em>P</em> = a subject is a pet owner

The probability of an event, say E, is defined as the ration of the favorable outcomes of <em>E</em> to the the total number of outcomes of the experiment.

P (E) = n (E) ÷ N

Here,

n (E) = favorable outcome

N = total number of outcomes

(1)

The conditional probability of an event <em>B</em> given that another events <em>A</em> has already occurred is:

P (B | A) = n (A ∩ B) ÷ n (A)

Compute the probability of a pet owner being a women as follows:

P (W | P) = n (W ∩ P) ÷ n (P)

              = 975 ÷ 1977

              = 0.5396

              ≈ 0.540

Thus, the proportion of pet owners who were women is 0.540.

(2)

Compute the probability of a non-pet owner being a women as follows:

P (W | P') = n (W ∩ P') ÷ n (P')

              = 293 ÷ 543

              = 0.4932

              ≈ 0.493

Thus, the proportion of non-pet owners who were women is 0.493.

8 0
3 years ago
Q19. When a resistor is placed across 230M supply (de) the
Vera_Pavlovna [14]

The value of the resistor that must be connected in parallel is 57.47 ohms

<h3>How to determine the resistor connected across the 230 V supply</h3>
  • Voltage (V) = 230 V
  • Current (I) = 12 A
  • Resistor 1 (R₁) =?

V = IR

230 = 12 × R₁

Divide both sides by 12

R₁ = 230 / 12

R₁ = 19.17 ohms

<h3>How to determine the total resistance</h3>
  • Voltage (V) = 230 V
  • Current (I) = 16 A
  • Total resistance (Rₜ) =?

V = IR

230 = 16 × Rₜ

Divide both sides by 12

Rₜ = 230 / 16

Rₜ = 14.375 ohms

<h3>How to determine the resistor connected in paralle</h3>
  • Resistor 1 (R₁) = 19.17 ohms
  • Total resistance (Rₜ) = 14.375 ohms
  • Resistor 2 (R₂) = ?

1/Rₜ = 1/R₁ + 1/R₂

Collect like terms

1/R₂ = 1/Rₜ - 1/R₁

R₂ = (Rₜ × R₁) / (R₁ - Rₜ)

R₂ = (14.375 × 19.17) / (19.17 - 14.375)

R₂ = 57.47 ohms

Learn more about Ohm's law:

brainly.com/question/796939

#SPJ1

6 0
2 years ago
Solve by elimination
-Dominant- [34]

Answer:(4,1)


Step-by-step explanation:

-x+3y=-1

X-2y= 2

______

Change second equation move all to right side to leave x on left side .

-x+3y= -1

X= 2y+2


Now substitute second equation that you made into first equation to find y.

-(2y+2)+3y= -1

-2y-2+3y=-1

Y-2=-1

Y= -1+2

Y= 1

Now substitute your answer of y into second equation you created to find x .

X= 2y+2

X= 2(1)+2

X=2+2

X=4


4 0
3 years ago
Other questions:
  • Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area
    5·1 answer
  • Evaluate the expression 4(3h - 6) for h = 4.
    10·2 answers
  • Please help me with this geometry problem asap ​
    12·2 answers
  • 60% of 75<br> find the percent.<br><br> please help! :o
    13·1 answer
  • What is the solution of 9x+4&lt;7-3n IF X is an element of whole number
    14·1 answer
  • WHAT IS THISDSSSSSSSSSSSSSSSSSSS
    15·1 answer
  • The Wilson Student Government sold $ 126 worth of tickets for a talent show in 3 hours. How many tickets did they sell in one ho
    6·1 answer
  • Leila has 36 photos of her friends. She puts 6 photo on each page in her scrapbook. How many pages does Leila use?
    15·1 answer
  • Two displacement vectors of magnitudes 21 cm and 79 cm are added. Which one of the following is the only possible choice for the
    14·1 answer
  • The points (-4, 1) and (r. -7) lie on a line with slope - 1. Find the missing coordinate r.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!