Answer:
We know that:
1/5 = 0.2 of all adults in US have type O blood.
Then: 4/5 = 0.8 of all adults in US do not have type O blood.
a) All four are type O.
Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8
Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:
P =0.2^4 = 0.0016
b) None of them is type O.
Similar to the above case, but this time we work with four times the probability 0.8
P = 0.8^4 = 04096
c) Two of the four are type O.
Here we will have two times the probability 0.2, and two times the probability 0.8.
p = 0.2^2*0.8^2
But, if the people is ordered, the two persons with type O blood can be:
first and second
first and third
first and fourth.
second and third
second and fourth
third and fourth.
6 different combinations, then the actual probability for this case will be:
P = 6*p = 6*(0.2^2*0.8^2) = 0.1536
The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
About 1/5 of all adults in the United States have type O blood.
p = 0.2
q = 1 - p = 1 - 0.2 = 0.8
a. All four are type O. The probability will be
P = p⁴
P = 0.2⁴
P = 0.0016
b. None of them is type O. The probability will be
P = q⁴
P = 0.8⁴
P = 0.4096
c. Two out of the four are type O. The probability will be
P = p² × q²
P = 0.2² × 0.8²
P = 0.04 × 0.64
P = 0.0256
More about the probability link is given below.
https://brainly.com/question/795909
Find the smallest side of RST, given that
Answer:
doesn't it give you the angles for each letter? If that is the case then it would be 33
Step-by-step explanation:
May I have brainliest please? :)
Answer:
RT
Step-by-step explanation:
RT
Since angle S is the smallest angle, the smallest side is opposite that.
Hhhhhhhhhhhhhheeeeelllpppppp
Answer:
c
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
Step-by-step explanation:
This graph shows linear
y = f(x) and y = g(x).
Find the solution to the equation f(x) - g(x) = 0
PLZ HELP I BEG YOU !!!!!!!!!!1
Answer:
The Answers are right under you.
What conclusions can you draw from the graph?
Answer:
My best conclusion (simply put) is that you had a higher score than the average class.
Step-by-step explanation:
It obvious that the green dots is above the averages of both bars. It would be safe to think that you scored higher than the average of the entire class in both predictions and parabolas.
can 18 in, 6 in, 13 in form a triangle
Answer:
can bcz triangle has 3 sides here 3 cm are there
2.2.PS-16
Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points.
Incorrect answers lose 2 points. In the final round, School A gives the same number of correct and
incorrect answers. School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 62 points. School B started with 24. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round.
Which equation models the scoring in the final round and the outcome of the contest?
OA. 9x + 2x - 62 = - 9x + 24
OB. 2x-9x + 62 = 9x + 24
OC. 9x - 2x - 62 = 9x + 24
OD. 9x - 2x + 62 = 9x + 24
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
Substitution
2x-y=7
3x-2y=10
Answer:
x=4
y=1
Step-by-step explanation:
Please answer fast
7. Is the simplified form of 2 square root of 3 · square root of 12 rational? (1 point)
Yes
No
Answer:
Yes it is
Step-by-step explanation:
Because
2) x (sqrt 3) times (sqrt 12)
Two is also equivalent to sqrt of 4. The operation may be expressed as,
(sqrt 4) x (sqrt 3) x sqrt (12)
The product is sqrt (144). This gives an answer of 12 and it is rational.
So, the answer is Yes!
Hope this helped! :)
May i have brainliest!
Answer:
Yes it is
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
12 is the answer and 12 is a rational number
Radicand = The number under the inclusion bar of the radical sign.
Product = The result of two numbers being multiplied together.
Factor = One of two or more expressions that are multiplied together to get a product.
Jay needs to paint one side of his house. He knows 1 can of paint covers and area of 24 square feet. What is the least amount of paint Jay will need to paint the side of his house?
Answer:
he will need 4 cans to make it 100 %compleate
Find the number for which:
75% is 4.5 cm
What is the equation of a line that goes through the point (0, -5) and has a slope of -3?
Answer:
y = -3x - 5
Step-by-step explanation:
The equation of a line is given as either:
[tex]y = mx + b[/tex] where m is the slope, and b is the y-intercept.
or
[tex]y-y_{1} = m(x-x_{1} )[/tex] where given that you have a point (x, y), y₁ is the y-value of the point, m is the slope, and x₁ is the x-value of the point.
We can just plug in the point (0, -5) into the second equation and -3 for the slope.
However, (0, -5) tells us that this point must be a y-intercept, since the x-value of that point is 0. So, we can also just plug into the first equation -5 for the y-intercept and -3 for the slope.
So, we get:
y = -3x + (-5)
Which simplifies into:
y = -3x - 5
Answer:
i dont know
Step-by-step explanation:
R is between Q and S
Find QR
Answer:
23.8
Step-by-step explanation:
68.4 - 44.6 = 23.8
Answer:
QR is 23.8
because 68.4 - 44.6 =23.8
Find three positive numbers whose sum is 100 and whose product is a maximum.
Answer:
The numbers are;
x = 100/3, y = 100/3, z = 100/3
Step-by-step explanation:
Given the data in the question;
so let the numbers be; x , y and z
so
x + y + z = 100
now
G(x,y,z) = x + y + z - 100
F(x,y,z) = xyz
Fx = yz, Gx = 1
Fy = xz, Gy = 1
Fz = xy, Gz = 1
Fx = λ × Gx
yz = λ
Similarly, xz = lambda
And xy = lambda
From above clearly, x = y = z
x + y + z = 100
so
3x = 100
x = 100/3
since, x = y = z therefore, each number is equal to 100/3
x = 100/3, y = 100/3, z = 100/3
We want to find 3 positive numbers such that their sum is 100 and the product is maximum.
The maximum product is P = 37,025.93
Let's say that our 3 numbers are:
A, B, and C.
We must have:
A + B + C = 100
The product of these 3 numbers is:
P = A*B*C
For the restriction, we can write:
A = 100 - B - C
Now we can replace that in the product equation to get:
P = (100 - B - C)*B*C
P = 100*B*C - C*B^2 - B*C^2
Now we want to maximize this, to do it, we need to find the zeros of the derivate of the function. This is a two-variable function, but the dependence on C is exactly the same as the dependence on B, so we can find the zero of deriving with respect to one of these only.
dP/dB = 100*C - 2*C*B - C^2 = 0
C*(100 - 2*B - C) = 0
One solution is C = 0, the other is:
C = 100 - 2*B
And from the first restroctopm:
A + B + C = 100
we can get:
C = 100 - A - B
Then:
100 - A - B = 100 - 2*B
Then we get A = B
And if we derive the equation for C instead of B, we will get similar results that will lead to:
A = B = C.
This is what maximizes the product, then we have:
A + B + C = 3*A = 100
A = 100/3 = 33.33
P = (33.33)^3 = 37,025.93
This is the maximum product.
If you want to learn more, you can read:
https://brainly.com/question/11212148
Mrs. jones bought 25 mangoes for $7.50. she sold 12 mangoes for 60 cents each and the remaining for 55 cents each. a. state whether she made a profit or loss b. calculate the profit loss c. calculate the percentage profit or loss
Answer:
when u search it one by one
What is the range of the given function?
Answer:
D
Step-by-step explanation:
Look at the y-values for both dots, the open circle is -7 and the closed circle is 5. The closed circle means y is going to be equal to, so the greater than sign is made to be equal.
which one of the mappings is a function?
Answer:
the answer is x.
Step-by-step explanation:
the x values are only being used once, therefore, it is a function
What is the equation of the line that passes through the points (3,6) and (-4,-8)
Hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
( -8 - 6 ) / ( -4 - 3) = -14 /-7 = 2
slope is 2
now : we have : 2 ( 3) +... = 6
6 +0 = 6
equation of line is : y = 2x
does anyone know how to do this?
Answer:
112
Step-by-step explanation:
beacuse 180-68=112
1. 8x^2 + 10x - 9
2. 3x^4 - 14x^2 - 9
3. 4x^2 + 5x - 9
4. 8x^2 + 10x - 18
Answer:
4.
Step-by-step explanation:
(x^2 + 7x - 9) + (3x^2 - 2x) + (x^2 + 7x - 9) + (3x^2 - 2x)
x^2 + 7x - 9 + 3x^2 - 2x + x^2 + 7x - 9 + 3x^2 - 2x
Rearranging order:
3x^2 + 3x^2 + x^2 + x^2 + 7x + 7x - 2x - 2x - 9 - 9
Combine like terms
8x^2 + 10x - 18
can yall plz help me with this science qustion
Answer:
True
Step-by-step explanation:
I don’t understand this question can you also help me figure it out step by step I would greatly appreciated it
Answer:
If a shape is a square, then it is a quadrilateral
Step-by-step explanation:
Quadrilateral means four sided shape, so automatically, because a square has 4 sides, you know it is a quadrilateral. But not all quadrilaterals are a square, you could have a rectangle which is four sides so you know that this statement is wrong "If a shape is a quadrilateral, then it is a square." Therefore, the answer is "If a shape is a square, then it is a quadrilateral
NEED HELP ASAP I WILL RATE 5 STARS
Answer:
B
Step-by-step explanation:
If you plug in 5 1/3 to the equation, the result is 6, meaning that the point lies on the line.
Ava was looking for treasure.
She looked on a sandy beach. The
length of the beachy spot was 2 1/4
feet by 1 1/2 feet. What was the
area of the beachy spot?
Abdul has bought 30 pounds of dog food. He feeds his dog
2/3 pounds for each meal. For how many meals will the food last?
Answer: I think its 45 days
Step-by-step explanation: hope this helps
f(x) = x2 – 2x +1
Find y-intercept and vertex
Answer:
Your answer is: The x-intercept is [tex](1 , 0)[/tex] and your y-intercept is[tex](0 , 1 )[/tex].
Your vertex is [tex](1 , 0)[/tex]
Step-by-step explanation:
In order to find the y-intercept you had to to find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y.
In order to find the vertex you had rewrite the equation in vertex form and use this form to find the vertex [tex](h , k)[/tex].
Hope this helped : )
Miss Holman bought a meal that cost $6.25. She gave her server $1.25 tip. What percent did she tip her server?
Answer:
20%
Step-by-step explanation:
6.25 times 20% or 0.2 = 1.25. therefore she tipped the sever 20% of the total cost of her meal.
A pool that is being drained contained 18,000 gallons of water. After 2 hours, 12, 500
Gallons of water remain. Write an equation in all 3 forms to model this situation,
HELLPPP PLLEASEEEE!!!!!
Answer:
y-18,000=2,750(x-0) --> point-slope
y=2,750x+18,000 --> slope-intercept
-2,750x + y = 18,000 --> standard
Step-by-step explanation:
Linear Modeling
Some situations can be modeled as linear functions. If we are in a situation where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.
The pool being drained contained initially 18,000 gallons of water. If we set the variable x as the time in hours and y as the remaining gallons of water in the pool, this first point is (0;18,000).
We are also aware that after 2 hours 12,500 gallons of water remain. This gives us the second point as (2;12,500).
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let's find the equation of the line with the 2 points:
[tex]\displaystyle y-18,000=\frac{18,000-12,500}{2-0}(x-0)[/tex]
Calculating:
[tex]\displaystyle y-18,000=\frac{5,500}{2}(x-0)[/tex]
[tex]y-18,000=2,750(x-0)[/tex]
The equation above is the point-slope form of the line
Simplifying and adding 18,000:
[tex]y=2,750x+18,000[/tex]
The equation above is the slope-intercept form of the line
Moving all the variables to the left side:
[tex]-2,750x + y = 18,000[/tex]
The equation above is the standard form of the line
Answer:
y-18,000=2,750(x-0) --> point-slope
y=2,750x+18,000 --> slope-intercept
-2,750x + y = 18,000 --> standard
HELP!!
Given f(x)= x^2 -3 and g(x)= x+2/x , find (g-f)(4). Show all work.
Answer:
-8.5Step-by-step explanation:
Given
f(x)= x^2 -3 and g(x)= x+2/xTo find
(g-f)(4)Solution
(g-f)(4) = g(4) - f(4) =4+2/4 - (4² -3) =4 + 0.5 - 16 + 3 =-8.5how many 7/8 cup servings are in 1/2 cup of juice?