This question is incomplete, the complete question is;
Surgical complications: A medical researcher wants to construct a
99.5% confidence interval for the proportion of knee replacement surgeries that result in complications.
- An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08?
Answer: a sample of operations needed is 149
Step-by-step explanation:
Given that;
confidence interval = 99.5% = 0.995 so
margin of error E = 0.08
p = 14% = 0.14
now we obtain the critical value of z t the 99.5 confidence interval
∝ = 1 - confidence interval
∝ = 1 - 0.995
∝ = 0.005
∝/2 = 0.0025
obtaining the area of probability in the right tail
Area of probability to the right is = 1 - 0.0025 = 0.9975
from probability table; critical value of t =2.81
using the formula
n = p( 1 - p ) [ (z_∝/2)/E)² ]
so we substitute
n = 0.14 ( 1 - 0.14 ) [ 2.81 / 0.08 )²
n = (0.14 × 0.86 ) × 1233.7656
n = 148.5453 ≈ 149
Therefore , a sample of operations needed is 149
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
length is 13.6m
width is 2.72m
find the value of this expression if x=1 and y=-5
x^2y/7
Answer:
5/7
Step-by-step explanation:
Simplify: -x + 8x if you can
Answer:
7x
Step-by-step explanation:
-x + 8x =
8x - x =
7x
Four times a number, increased by one, is between negative seven and seventeen. Find all the numbers
Answer:
The numbers are:
{-1, 0, 1, 2, 3}
Step-by-step explanation:
Note: I am assuming "between" does not include the endpoints.
Given the statement
'Four times a number, increased by one, is between negative seven and seventeen'
Let us break down the word statement into small pieces and then combine them to write it into an algebraic expression.
Let x be the number.
4 times a number = 4x
Increase by 1 = 4x+1
between negative seven and seventeen ⇒ -7 < 4x+1 < 17
Thus, the combined statement can be written in an algebraic expression.
-7 < 4x+1 < 17
solving the inequality expression
[tex]-7 < 4x+1 < 17[/tex]
Add -1 to all parts
[tex]-7+-1<4x+1+-1<17+-1[/tex]
[tex]-8<4x<16[/tex]
Divide all parts by 4
[tex]\frac{-8}{4}<\frac{4x}{4}<\frac{16}{4}[/tex]
[tex]-2<x<4[/tex]
Thus, the numbers are:
{-1, 0, 1, 2, 3}
i.e
[tex]-7<4x+1<17\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-2<x<4\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-2,\:4\right)\end{bmatrix}[/tex]
The graph is also attached below.
Simplify -2 1/9 - (-4 1/9)
1)
2 2/9
2)
-6 4/9
3)
-2 2/9
4)
6 4/9
Answer:
2
Step-by-step explanation:
The easiest thing is to convert it to an improper fraction.
-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.
-19/9 - (-37/9) here you would add because you are subtracting a negative number.
-19/9 + 37/9 change it to positive and then add.
-19+37=18
it was 18/9. that simplified is 2.
Can sum1 help plz!!
Answer:
5
Step-by-step explanation:
The rate is 5p/m
200 / 40 = 5 and so on...
Answer:
5 calories/minute.
Step-by-step explanation:
To find the rate, take one of the data sets (in my example, 40, and 200) and just divide the number of calories by the minutes to find your unit rate.
200/40
= 5
GIVING OUT BRAINLIEST!!! PLS HELP ASSAPPP!!!!
Which statement is correct when solving the expression 5y^2-3y^2?
Add the coefficients (5 + 3).
Subtract the exponents (2 – 2).
Add the exponents (2 + 2).
Subtract the coefficients (5 – 3).
Answer:
C. Add the exponents (2+2)
D. Subtract the coefficients. (5-3)
2y^4
I hope this helped! :))
Which statement about the figure is false?
Answer:
what are the options and the figures???
Step-by-step explanation:
Samuel's heart rate is 66 beats per minute. If this is his average heart rate, how
many times will it beat in 27 years? *
12
Answer:
28098576000
Step-by-step explanation:
At a local high school, 30% of the students have a part-time job, 45% of the students are on the principal's honor roll, and 20% of the students have a part-time
job and are on the principal's honor roll. If a student was randomly selected from this school, what is the probability that the student has a part-time job or is on
the principal's honor roll?
0 95%
O 759
O 55%
O 3596
Answer:
b
Step-by-step explanation:
Answer:
b he is your answer dear friend
Who is your favorite y-o-u-t-u-b-e-r
Answer:
dream
Step-by-step explanation:
why not
Answer:
Mine is 5 minute crafts
I love crafts, so ya. They are pretty popular
please give me brainiest :) !
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24
How are the ordered pair (4,9) and (4,-9) similar, and how are they different?
Answer:
Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.
A tailor has a glass jars on a shelf.
Each jar holds 242 buttons. How many
buttons does the tailor have in all?
A 1,868
B) 1,800
C) 2,360
D) 2,178
Answer: D.
Step-by-step explanation: You can only have a whole number of jars. If you divide options A, B, and C, you will get a number with a wild decimal. Option D is correct because 2,178 divided by 242 is 9, which does not have a wild decimal.
A weather forecaster claimed the chance of rain next week on Monday is 50% and the chance it rains on Tuesday is 80%. Is the probability that it rains next
Monday and Tuesday equal to 40%?
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
O No, because the chance of rain on Monday and the chance of rain on Tuesday are not independent.
O No, because the chance of rain Monday and the chance of rain Tuesday are not mutually exclusive.
O Yes, because the chance of rain on Monday and the chance of rain on Tuesday are mutually exclusive,
Answer:
A: Yes, because the chance of rain on Monday and the chance of rain on Tuesday are independent.
Step-by-step explanation:
We are given;
chance of rain next week on Monday is 50%. Thus;
P(rain next Monday) = 0.5
chance it rains on Tuesday is 80%. Thus;
P(rain next Tuesday) = 0.8
From independent events, we can say that;
P(A and B) = P(A) × P(B)
A and B are independent events because the probability of A doesn't affect B as is the case for rain on Monday and Tuesday given.
Thus;
P(rain on Monday & tuesday next week) = 0.5 × 0.8 = 0.4
This can also be written as 40%
Correct answer is option A since both events are independent
The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
Answer:
9x-9
Step-by-step explanation:
the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution
examples: 9x+1, -9x-8, 10x+3, 12x . . .
Answer:d
Step-by-step explanation:
help now i will mark brainly
Answer:
6. 928 R 3
7. 4/6
8. 2/8
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
Learn more about solutions of equations here:
https://brainly.com/question/545403
#SPJ7
Expand and simplify , 4(x+3)^2-3(x+4)(x-4)
Answer:
x² + 24x + 84
Step-by-step explanation:
4 * (x+3)(x+3) - 3 * (x+4)(x-4)
4(x²+6x+9) - 3(x²-16)
4x² + 24x + 36 - 3x² + 48
x² + 24x - 84
How do you write the difference of a number 11 and d
To find the difference between 2 values you would subtract.
You would write this as 11-d
Dieciocho centésimas a números
Answer:
.18
Step-by-step explanation:
Which equation describes the line shown in the graph?
y = - 5x +5/8
y = - -1/5x+8/5
y = - 5x +3/2
y= -1/5x+3/2
Need this ASAP thanks
Answer:
A. Substitution
Step-by-step explanation:
You have already gotten what y is in x terms, so you could plug that into the first equation and find out what y and x are
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
Which expression is equivalent to 1/3 y?
1/3(y+12)-12
1/6y+1/3(y+3)
1/6y+1/6(y+12)-2
1/3y+1/3(6-y)
Answer:
The answer is 1/6y+1/6(y+12)-2
Step-by-step explanation:
I used a math calculator.
Answer:
1/3y+1/3(6-y)
1. What is the best estimate for the
product of 37 and 19?
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
enter the correct answer
Answer:
The product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]
Step-by-step explanation:
We need to find the standard form of polynomial that represents the product of [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex]
Finding the product of polynomial
[tex](-2m^3+3m^2-m)(4m^2+m-5)\\=-2m^3(4m^2+m-5)+3m^2(4m^2+m-5)-m(4m^2+m-5)\\=-8m^5-2m^4+10m^3+12m^4+3m^3-15m^2-4m^3-m^2+5m\\Combining\:like\:terms\\=-8m^5-2m^4+12m^4+10m^3+3m^3-4m^3-15m^2-m^2+5m\\=-8m^5+10m^4+9m^3-16m^2+5m\\[/tex]
So, the product of polynomial [tex](-2m^3+3m^2-m)(4m^2+m-5)[/tex] is [tex]\mathbf{-8m^5+10m^4+9m^3-16m^2+5m}[/tex]
What is the slope of the equation of a line that passes through the point
(10, 4) and has a y-intercept of -4?
Answer:
y = 0.8x – 4
or
y = 4 /5x- 4
Step-by-step explanation:
the slope is 4/5 or 0.8 either one work :)
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
plz help thanks . uh idk what to write but it’s making me write
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.