Answer:
a) 65%
b) 28.57%
Step-by-step explanation:
Suppose that 35% of all patients admitted to a hospital's
intensive care unit have high blood pressure, 42% have some sort of infection, and 12% have both problems. Probabilities estimated from the data in ICU Admissions. (10POINTS)
(a) Find the probability that a randomly chosen patient in this ICU has either high blood pressure or an infection.
(b) Find the probability that a patient admitted to the ICU has high blood pressure given that an infection is present.
Solution:
Let H represent the people with high blood pressure and I represent the people with infection.
P(H) = 35% = 0.35, P(I) = 42% = 0.42, P(H ∩ I) = 12% = 0.12
Those with only high blood pressure = P(H ∩ I') = P(H) - P(H ∩ I) = 0.35 - 0.12 =0.23
Those with only infection = P(H' ∩ I) = P(I) - P(H ∩ I) = 0.42 - 0.12 =0.30
a) probability that a patient has either high blood pressure or an infection = P(H ∪ I)
P(H ∪ I) = P(H ∩ I') + P(H' ∩ I) + P(H ∩ I) = 0.23 + 0.3 + 0.12 = 0.65 = 65%
b) probability that a patient has high blood pressure given that an infection is present = P(H / I)
P(H / I) = P(H ∩ I) / P(I) = 0.12 / 0.42 = 0.2857 = 28.57%
21 years ago Alvin was 11 times older than Tomio. The sum of their present age is 54.
Answer:
Not sure exactly what answer you are looking for. But I assume it is the ages of them. Their original ages would be Tomio - 1 year old, Alvin - 11 years old. Now, Tomio - 22, Alvin - 32
Step-by-step explanation:
1(tomio) x 11 = 11 (alvin) (add 21 to these)
22+32=54
hope that makes sense
What is the total cost to the nearest cent? $14.30 watch; 6.75% tax
Answer:
$15.27
Step-by-step explanation:
WILL GIVE BRAINLIEST!
A plumber's labor costs for house calls C is given by by C = t + 55, where t is the number of minutes the plumber works in the house. From the graph of the function, what is the cost in dollars if the plumber works 20 minutes? (Enter an exact number.)
Answer:
$75.00
Step-by-step explanation:
Write a polynomial function of least degree with rational coefficients so that P(x)0 has the given roots. x=-5, x=10
Answer:
P(x) = x² - 15x + 50
Step-by-step explanation:
We write the polynomial function P(x), given that P(x) = 0 has the given roots, x = 5 and x = 10.
Since x = 5 and x = 10 are the roots of P(x) = 0, it follows that (x - 5) and (x - 10) are factors of P(x) = 0. So, P(x) = (x -5)(x - 10) = 0
Expanding the brackets, we have
x² - 10x - 5x + 50 = 0
Simplifying, we have
x² - 15x + 50 = 0 = P(x)
Thus,
P(x) = x² - 15x + 50
6. Sam uses plastic counters to figure out subtraction problems. What kind of
mathematics learning is this?
A) Abstract
B) Concrete
C) Instinctive
D) Memorization
What is the relationship between the two quantities in the table?
X
1
2
У
9
18
27
36
3
4
The relationship between the quantities is "+9."
The relationship between the quantities is "-27"
The relationship between the quantities is "x 9."
The relationship between the quantities is " 27."
Hu
Answer:
The Answer Is X 9, Aka C, I just got it correct
Triangle ABC has vertices A(0, 6), B(-8, – 2), and
C(8, – 2).
A dilation with a scale factor of 1/2 and center at the origin is
applied to this triangle.
What are the coordinates of B' in the dilated image?
Enter your answer by filling in the boxes.
B' has a coordinate pair of ( )
Answer:
B' has a coordinate pair of (-4, -1)
Step-by-step explanation:
We are given with the vertices of the triangle with B(-8,-2)
Please remember the rule of dilation
If a point (x,y) dilated for the scale factor of 'k', we do get image as (kx,ky)
Using this concept, we know scale factor is [tex]\frac{1}{2}[/tex] , we could get image as [tex](\frac{1}{2} (-8), \frac{1}{2} (-2))[/tex]
Let's simplify it
We do get (-4,-1)
At the BOBA CLUB you must be a member to buy boba. A membership cost $4. Once you are a member of BOBA CLUB each Boba drink is $2. At JACK’S BOBA you do not need to be a member. Anyone can walk in JACK'S BOBA shop and buy one drink for $3
Boba Club: y=2x+4
Jacks Boba: y=3x
Which is cheaper if you want to buy 7 boba drinks? How much cheaper? What is the solution to the system of equation?
Answer:
Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.
Step-by-step explanation:
Boba Club: y=2x+4
Jack's Boba: y=3x
Replace the X variable with 7 for both equations. For Boba Club, multiply 2 by seven to get 14, then add four to get 18. For Jack's Boba, multiply 3 and 7 to get 21. Boba Club is cheaper. (What would you need 7 Boba drinks for though?)
Answer:
Boba Club is cheaper if you want to buy 7 Boba drinks. It's cheaper by 3.
Step-by-step explanation:
$1400 is invested at 2% per annum simple interest. How long will it take for the total amount to reach $1624?
Answer:
7.5 years.
Step-by-step explanation:
Use A = 1400(1+0.02)^7.5
The 1400 is the starting money. The 1 is a constant. The 0.02 is the 2% in decimal form. And the 7.5 is years. I found that by just continually increasing it until it hit 1624.
Hope this helps
Find the missing number in the proportion.
23 over 50 = ___ over 100
Answer:
46
Step-by-step explanation:
let that number x
so [tex]\frac{23}{50} =\frac{x}{100}[/tex]
I do cross multiplication so 23*100=2300 and 50*x=50x
so 50x=2300 divide both by 50
x=46
Answer:
46
Step-by-step explanation:
since 100 is 50×2 you just do the same thing to 23 and multiply it by 2.
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Answer:
Step-by-step explanation:
Let the number of ounces of
A = x
B = y
A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?
Our system of equations is given as
x + y = 90.... Equation 1
x = 90 - y
40% × x + 55% × y = 45% × 90 ounces
0.4x + 0.55y = 40.5....Equation 2
We substitute 90 - y for x in Equation 2
PLEASE ANSWER HONESTLY (PLEASE BE HELPFULL I HAVE BEEN STUCK ON THIS PROBLEM) WILL MARK BRANIEST IF CORRECT. (no links my computer is slow and no ctrl c ctrol v if possible
Given a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm, what is g?
Show your work.
Step-by-step explanation:
o2+a2=h2
100} h^{2}=(10ft)^{2} +(17ft)^{2}
h2=100ft2+289ft2
h=389ft2−−−−−√
→19.7ft
this is an example on how to do it
The value of g in the given right triangle is 13.20 units.
What is the Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse.
Given that, a right triangle with leg lengths f and g, and hypotenuse h, if f = 7 cm and h = 11.2 cm,
We need to find the value of g the hypotenuse,
So, here using the Pythagoras theorem,
f²+h² = g²
Therefore,
11.2²+7² = g²
g² = 174.44
g = 13.20
Hence, the value of g in the given right triangle is 13.20 units.
Learn more about Pythagoras theorem, click;
https://brainly.com/question/21926466
#SPJ2
please help i need help with all of these questions
Answer:
1: 1/2
2: 6
3: 2
4: -4
Step-by-step explanation:
I'm smart give me brainliest
Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?
Answer:
Step-by-step explanation:
j represents the amount of juice
2 : 3 :: j : 18 proportion
3j = (2)(18)
Find the value of csc theta, I'd cos thetA =-1/4;180< theta<270
I know it's a little late, but hopefully it helps :)
ASAP Plssssssss heeeeelpop
Answer:
y = -2x + 1
Step-by-step explanation:
use desmos
Answer this question please. I’ll give Brainliest.
9514 1404 393
Answer:
(a) 1 and 3; 2 and 4
Step-by-step explanation:
In this figure, adjacent angles are linear pairs, so are supplementary. The only angles that are not are the vertical angles.
1 & 3, 2 & 4 are not supplementary
Answer: Its D
Step-by-step explanation:
Three people eat 2 pizzas toghether.both pizzas are the sane size. One person 2/3 of a pizza. A second person eats 1/2 of a pizza how much does the third person eat
Step-by-step explanation:
2/3=4/6
1/2=3/6
3/6+4/6=7/6
2-1 1/6= 5/6
so the answer is 5/6 the decimal form is .83333333.......
What is the area?
6 cm
4 cm
4 cm
:)
Answer:
96 cm
Step-by-step explanation:
Multiply 6x4x4=96
Philip made $1,155 in 15 days. Let "m" represent the amount of money that Philp made each day. If Philip made the same amount of money each day, how much did he make in one day.
Answer:
he made in one day is $77
Step-by-step explanation:
Given that
Philip made $1,155 in 15 days
Now based on the above information
The amount he make in one day is shown below:
= $1,155 ÷ 15 days
= $77
hence he made in one day is $77
The same would be relevant
How many solutions can be found for the system of linear equations represented on the graph?
Fill in the missing value for the coordinate pair that lies on the graph of the function
y = 2^x
(5,___)
The diameter of a circle is 6 centimeters. What is the circle's area?
Use 3.14 for pi
Step-by-step explanation:
diameter=
[tex]2 \times\pi \times r = 6 \\ r = \frac{6}{2 \times 3.14} = 0.955 \\ area = \pi \times {r}^{2} = 3.14 \times {0.955}^{2} \\ = 2.87\: {cm}^{2} [/tex]
Determine which number is a solution of the inequality. j+8 ≤ 8; 0, 1, 2
Answer:
The solution to the inequality is 0.
The function f is defined on the real numbers by f(x) = x + 2
What is the value of f(-3)?
Answer:
-1
Step-by-step explanation:
We can plug in -3 for x and solve:
f(-3) = -3 + 2
= -1
For the rectangular prism, the length is 312 inches, and the height is 512 inches.
What is the width?
Answer:
I'm very sorry but you would need the volume to find the width.
Step-by-step explanation:
Answer: The answer is 396 in²
Step-by-step explanation:
TRUST ME I AM TRUSTWORTHY PERSON
Please help me with this!
Give an approximation of the height of the tree.
The tree is approximately____ feet tall.
24 ÷ 8 = 3
3 × 3 = 9 ft
that's all
Write an equation of the line that passes through (-4 , 2) and is parallel to the line
y = 1/4 + 1
SOLVE MY QUESTION PLEASE!!
I’LL PUT YOU IN BRAINLEST!!
Answer:
y=1/4x + 3
Step-by-step explanation:
We know that the beginning of the equation has to be 1/4x since the line has to be parallel. So what I did was start at -4,2 then go up 1 and over 4, which led me to 3 as the y intercept.
I attached a photo. Not sure if it makes sense but I tried my best.
What does x represent X-9=21
Answer:
x = 30
Step-by-step explanation:
If X - 9 = 21, then 21 + 9 = X.
21 + 9 = 30
Answer:
x=30 (think about the opposite way to do it, 21+9)
Step-by-step explanation:
30-9=21 soo yea
What is the measure of n?
6
24
n
m
n =
[?]
Answer:
n = 12
Step-by-step explanation:
By applying geometric mean theorem in the given right angle triangle,
[tex]\frac{AD}{BD}=\frac{BD}{DC}[/tex]
BD² = AD × DC
Now substitute the values of each side given,
n² = 6 × 24
n² = 144
n = 12