Complete question is;
A new surgery is successful 85% of the time. If the results of 7 such surgeries are randomly sampled, what is the probability that more than 4 of them are successful?
Carry your intermediate computations to at least four decimal places, and round your answer to at least two decimal places
Answer:
P(X > 4) = 0.93
Step-by-step explanation:
This is a binomial probability distribution problem with the formula;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
We are told that a new surgery is successful 85% of the time. Thus;
p = 85% = 0.85
n = 7
probability that more than 4 of them are successful would be;
P(X > 4) = P(5) + P(6) + P(7)
P(5) = C(7,5) × 0.85^(5) × (1 - 0.85)^(7 - 5)
P(5) = 0.2097
P(6) = C(7,6) × 0.85^(6) × (1 - 0.85)^(7 - 6)
P(6) = 0.3960
P(7) = C(7,7) × 0.85^(7) × (1 - 0.85)^(7 - 7)
P(5) = 0.3206
P(X > 4) = 0.2097 + 0.3960 + 0.3206
P(X > 4) = 0.9263 ≈ 0.93
The sum of the ages of Peter and Paul is 24. Five years ago their respective ages were in the ratio 3:4. How old will they be in three years time?
Answer:
16 and 14 years old.
Step-by-step explanation:
Let their ages be x and y years, then
x + y = 24 .......... (1)
Also from the given information
(x - 5)/ (y - 5) = 3/4
3y - 15 = 4x - 20
3y - 4x = -5
Multiplying equation (1) by 3:
3y + 3x = 72
Subtracting these last 2 equations:
-7x = -77
x = 11.
So y = 24 - 11 = 13.
So in 3 years time they will be 16 and 14.
Answer:
Peter would be 14. Paul would be 16
Step-by-step explanation:
Variable labels:
Peter = m, Paul = n
m + n = 24
(m - 5) : (n- 5) = 3:4
The ratio 3:4 in fraction form is [tex]\frac{3}{4}[/tex]
The ration of (m - 5) : (n- 5) in fraction form is [tex]\frac{m - 5}{n - 5}[/tex]
[tex]\frac{m-5}{n-5} = \frac{3}{4}[/tex]
Cross multiply:
4(m - 5) = 3(n - 5)
4m - 20 = 3n - 15
4m = 3n + 5
Find the value of m first:
4m = 3n + 5
m = [tex]\frac{3n + 5}{4}[/tex]
Now going back to the equation m + n = 24, substitute m with [tex]\frac{3n + 5}{4}[/tex] :
m + n = 24
[tex]\frac{3n + 5}{4}[/tex] + n = 24
Solve for n:
[tex]\frac{3n + 5}{4}[/tex] + n = 24
[tex]\frac{3n}{4} + \frac{5}{4}[/tex] + n = 24
[tex]\frac{7n}{4} +\frac{5}{4}[/tex] = 24
[tex]\frac{7n}{4} = \frac{91}{4}[/tex]
n = 13 (Paul's age)
Solve for m:
m + n = 24
m + 13 = 24
m = 11 (Peter's age)
After three years, Peter would be 11 + 3 = 14 years old and Paul would be 13 + 3 = 16 years old.
718.012 in expanded form and written form
Answer:
Expanded Form BelowWritten Form BelowStep-by-step explanation:
Expanded Form = 700 + 10 + 8 + 0.01 + 0.002
Written Form = Seven-Hundred Eighteen, Point Twelve-Hundredths
Hope this helps! <3
what is the approximate area of a circular pond that has a radius of 35 meters?
the recommended weight of an adult beagle is at least 18 pounds but no more than 30 pounds. Of a beagle puppy is currently 8 pounds, what is the recommended pounds the puppy should gain by the time it is an adult?
Answer:
The recommended weight of the puppy should be equal to or more than 18 pounds but less than 30 pounds. It can be seen as the inequality below too:
[tex]18 \leq x <30[/tex]
X representing the pounds of an adult beagle.
Hope this helps!
- Kay
Sam is handing out advertisements for an upcoming event. He starts with a box of 5,000 advertisements and hands out 12 advertisements per minute, on average. Which of the following equations best models the relationship between the amount of time t, in minutes, Sam spends handing out advertisements and the number of advertisements, n, remaining? A t = 5,000n - 12 B n = 5,000t - 12 C t = 5,000 - 12n D n = 5,000 - 12t
Answer:
n = 5,000 - 12t
Step-by-step explanation:
Sam is handing out advertisements for an upcoming event.
No of advertisements = 5000
No of advertisements per minute is 12.
We need to find the equation that best models the relationship between the amount of time t, Sam spends handing out advertisements and the number of advertisements, n, remaining.
5000 is fixed and there are 12 advertisements per minute. Let the equation is given by :
n = 5,000 - 12t
Hence, the correct option is (d).
PLEASE HELP! NO ONE WANTS TO HELP ME :( the person who would help me is the nicest.
1. 9/13
2 . 45/2 = 22 1/2
3. 9
4. 45/8 = 5 5/8
Answer: The one of the top right has the greatest value.
Explanation: Well, I see on the right side it allows you to use a calculator, so just use one.
The one on the top left is 2 and 1/4.
The one of the top right is 22 and 1/2.
The one on the bottom left is 9.
The one on the bottom right is 5 and 5/8.
The one on the top right (22 and 1/2) has the greatest value.
driving into a 20-mph breeze cuts gas mileage by about 12%. What will be your gas mileage in a 20-mph wind if it is 24 mi/gal with no wind
Answer:
the gas mileage would be 21.12 mi/gal
Step-by-step explanation:
The computation of the gas mileage is shown below:
Given that
Driving into a 20-mph
Gas mileage by approx 12%
No wind at 24mi/gal
based on the above information
The deduction would be
= 12% × 24
= 2.88 mi/gal
Now the actual mileage in 20-mph would be
= 24 - 2.88
= 21.12 mi/gal
hence, the gas mileage would be 21.12 mi/gal
Some of the steps in Liam solution to 3. 5 (1.25x + 0.5) = 10.5 are shown complete the boxes with reasons for lines 2 and 4 of Liam solution
Answer:
x = 2
Step-by-step explanation:
Given the equation;
3. 5 (1.25x + 0.5) = 10.5
Open the parenthesis
3.5(1.25x) + 3.5(0.5) =10.5
4.375x + 1.75 = 10.5
4.375x + 1.75 -1.75= 10.5-1.75
4.375x = 8.75
Divide both sides by 4.375
4.375x/4.375 = 8.75/4.375
x = 2
Hence the solution to the equation is 2
Answer:
there's no question...
Please help with this I will give brainliest
Answer:
2
Step-by-step explanation:
Subsitute Y in the equation. (6)^2-5(6)-4. 36-30-4=2
A block of ice in the form of a cube has one edge 10 feet long. It is melting uniformly so that its dimensions decrease at a rate of 1/10 fps (feet per second). At what rate is the volume of the block changing when the edge is 5 feet long?
Answer:
-7.5 ft^3/sec
OR
Volume is decreasing at the rate of 7.5 ft^3/sec
Step-by-step explanation:
Side of cube = 10 feet
Rate of decreasing of side of cube = [tex]\frac{1}{10}\ feet/sec[/tex]
OR
Rate of change of side of cube = [tex]-\frac{1}{10}\ feet/sec[/tex]
To find:
Rate of change in volume when the edge is 5 feet long = ?
Solution:
Volume of a cone is given by:
[tex]V =Side^3[/tex]
If side is [tex]a[/tex] units, then Volume can be written as:
[tex]V =a^3[/tex]
Differentiating w.r.to time:
[tex]\dfrac{dV}{dt} = 3a^2\dfrac{da}{dt}\\\Rightarrow \dfrac{dV}{dt} = 3\times 5^2(-\frac{1}{10})\\\Rightarrow \dfrac{dV}{dt} = -7.5 ft^3/sec[/tex]
Negative sign indicates that the volume is decreasing at the rate of 7.5 ft^3/sec
Express 14 : 44 in the lowest term.
Answer:
7:22
Step-by-step explanation:
What is the range of possible values for x?
The range of possible value for x is 3/2< x <24 , using properties of angle and sides.
How sides and angles are related ?
Side opposite to larger angle is always larger than other.
Here,
In ΔBCE and ΔCED
BE=DE
CE=EC
AND BC>CD
So, from above statement, ∠BEC > ∠CED
then,
45 > 2x - 3
48 > 2x
24 > x or x < 24
And, angle is always greater than 0
So, 2x - 3 > 0
2x > 3
x > 3/2.
So, option 3rd is correct.
Learn more about angle and side from given link:
https://brainly.com/question/27758960
#SPJ1
4x - 1 = 3 (x - 1)
(help pls fast by tuesday!)
Answer:
x = -2
Step-by-step explanation:
I hope this helps!!
Joshua started the month with $20.50 in his bank. He earned $3.75 for washing the car. Then he spent $5.25 at the movies. Joshua mowed his neighbor's lawn for $7.50. Finally, he bought a new video game for his computer for $18.75. How much money did Joshua have at the end of the month?
Joshua after all his spending has $7.75 at the end of the month
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, The savings and his work be denoted by a positive amount and his spending be donated by a negative amount.
So, From the information given his savings of $20.50 and his work of mowing the lawn for $7.50 and washing a car for $3.75 should be added which is,
= $(20.50 + 7.50 + 3.75).
= $31.75
Now, we'll subtract all his spending,
= $(31.75 - 5.25 18.75).
= $7.75.
learn more about numerical expressions here :
https://brainly.com/question/29199574
The price of a set of feeding bowls for dogs had been $9.25, but was
increased to $11.10. What was the percent increase?
Answer:
Step-by-step explanation:
20% increase lol
Mr. Rijo bought 49 bags of soil one week and 28 bags of soil the next week. Which expression correctly applies the distributive property to show equivalent expressions for the number of bags of soil he bought? 49 + 28 = 4 (7 + 7) 49 + 28 = (7) (7) + (14) (2) 49 + 28 = (7) (14) + (7) (7) 49 + 28 = 7 (7 + 4) plz i need help
Answer:
I don't know the answer bro but please follow me bro
Interest on an investment is considered what
Answer:
investment interest expense is any amount of interest that is paid on loan proceeds used to purchase investments or securities. Investment interest expenses include margin interest used to leverage securities in a brokerage account and interest on a loan used to buy property held for investment
Identify the independent and dependent variables.
A certain movie earns $1200 for each screen it is shown on.
PLZ HELP!!!!!!!
Answer:
Step-by-step explanation:
Step one:
given data
we are told you earn $1200
the linear function for the cost is expressed as
y=1200x-----------------1
Step two:
We want to bring out the following information
Independent: The number of screens which is x
Dependent: The total revenue which is y
Function: y=1200x
What is a dependent variable?
This is a variable that rely on the value of other terms
What is a independent variable?
this is a variable that does not rely on other terns
PLEASE HELP IM TIMED
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Because it's common sense
Solve for x and y! Help plz
Answer:
x = 20
y = 19
Step-by-step explanation:
(2x - 3)° + (3x - 7)° = 90° (complementary angles)
(2x - 3 + 3x - 7)° = 90°
(5x - 10)° = 90°
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20
2y - 1 = 2x - 3 ( vertical angles)
2y = 2x - 3 + 1
2y = 2x - 2
2y = 2*20 - 2 (plug x = 20)
2y = 40 - 2
2y = 38
y = 38/2
y = 19
HELLP PLEASE IT DUE AT MIDNIGHT TONIGHT
5.
Which of these scales are equivalent to 3 inches to 1 yard? Select all that apply.
A.1 inch to 1 foot
B.
6 inches to 9 feet
C.
1 inch to yard
D
1 inch to 12 inches
Please help
Louis age is three years more than twice the age of Sánchez . The sum of their ages is 39. How old are Sánchez and Louis ?
Answer:
39 divided by 3 = 13+3=16 therefore Louis is 16 and sanchez i
Step-by-step explanation:
s going to be 23 years of age. Because 39-16=23
Answer: Louis is 27 yrs old and Sanchez is 12 yrs old
Step-by-step explanation:
Sanchez is 12 yrs old
Louis is "twice" the age of sanchez (24) yrs old plus 3 years= (27)years old
Now add 27+12 =39 yrs in total
What is the distance between A and B on the number line below?
On a number line, point A is at 2.15 and point B is at 2.7.
0.55
0.65
2.48
4.85
Answer:
0.55
Step-by-step explanation:
all you do is subtract
Meghann is reading a 630- page book. She reads 18 pages each day. Write and solve a division equation to find the number of days, d, it will take Meghann to finish her book.
Answer:630/18=d
35=d
It will take Meghan 35 days to finish her 630 page book.
Step-by-step explanation:
How to round 106.327 to nearest hundredths explain
Answer:
106.33
Step-by-step explanation:
after decimal you have .3 tenths 2 hundredths 7 thousandths
to round to the nearest hundredths look at thousandths 7 becasuse is greater then 5 then you round up
106.327 is rounded to 106.33
Answer:
your answer is 106.3
Step-by-step explanation: so first you do this
[tex]106.327\\3 =tenths\\2= hundredths[/tex]
so when you round if it is 5 or above you round up if it is 4 or below leave it alone
so the final answer is 106.3
when you round the 27 is removed and this is what you have left.
Complex fractions can be written as______problems.
Answer:
All complex fractions can be re-written as division problems.
Step-by-step explanation:
Which point is located at (8, 6)?
1014
C
B
B
Hamid has gained weight.
He now weighs 88 kg, which is 10% higher than his normal weight.
What is Hamid's normal weight?
Answer:
80 KG :)
Step-by-step explanation: