The percentage of beds that should be specially equipped is 19.0%. The correct option is c.
To be "pretty sure" of having enough specially equipped beds, the hospital wants to have only a 5% chance of running short of these beds, even when the hospital is fully occupied. This means that the probability of having enough beds should be 95%.
Let x be the percentage of beds that should be specially equipped. Then the probability that a patient does not require a specially equipped bed is 100% - 13.95% = 86.05%.
The probability that all 258 beds are occupied by patients who do not require a specially equipped bed is (0.8605)^258 = 0.0501, which is about 5%.
Therefore, the probability that at least one patient requires a specially equipped bed is 1 - 0.0501 = 0.9499, which is about 95%.
We can set up an equation to solve for x:
0.9499 = 1 - (1 - x)^258
Solving for x, we get:
x = 19.0%
Therefore, the percentage of beds that should be specially equipped is 19.0%.
So the answer is C) 19.0%.
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Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
brainliest Plsssss
Solve pls brainliest
Answer:
It's B, and the last one
Step-by-step explanation:
because 20% of omnivores like to exercise as opposed to the 14% of vegetarians.
Also about 16% of everybody LIKES to exercise, meaning more than 80% DON'T like to exercise
This one is hard for me so can anyone plz help me
Answer: The distance between a and c is 8 units
Step-by-step explanation:
You can count the number of units they are apart, but if there isn’t a grid, then do this:
If x or y values in the ordered pairs are different, subtract them from each other and find the absolute value of the difference. (It’s my own rule, so there is a better method. My explanation apples only to ordered pairs that share a x or y value, like A and C)
2-(-6) = 8, and the absolute value of 8 is 8
Or
(-6)-2 = (-8), and the absolute value of -8 is 8 (You’ll get the same answer)
Barbara has no more than $144 to buy jewelry. Earrings cost. $12 each and necklaces cost $24 each. How many of each can she buy
Barbara can buy a combination of earrings and necklaces with a total cost of no more than $144. We need to determine how many of each item she can buy within her budget.
Let's assume Barbara buys x earrings and y necklaces. The cost of earrings will be 12x, and the cost of necklaces will be 24y. According to the problem, the total cost must be no more than $144, so we have the inequality:
12x + 24y ≤ 144
To find the possible combinations, we can test different values of x and y that satisfy this inequality. Since we want to maximize the number of items Barbara can buy, we can start by setting x and y to their maximum possible values.
The maximum number of earrings Barbara can buy is 144/12 = 12 pairs. The maximum number of necklaces she can buy is 144/24 = 6 necklaces.
By trying different combinations within these limits, we find that Barbara can buy 0 earrings and 6 necklaces, spending a total of $144, or she can buy 6 earrings and 0 necklaces, also spending a total of $144.
Therefore, Barbara can either buy 6 necklaces or 6 earrings within her budget of $144.
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Help with this question please .
At a local market , the cost of apple is directly proportional to the weight of the apples . Carlos bought 10 pounds of apples for a cost of $15.00 .which graph shows the relationship between the weight of the apples , in pounds , and the cost of the apples , in dollars ?
Answer:
A
Step-by-step explanation:
the cost and weight are directly proportional, so decreasing one decreases the other at the same rate.
ratio is cost : weight, which is 15:10. the simplest ratio is 3:2, on the graph find where the cost is 3 and weight is 2. only graph A satisfy the condition
Which of the following are true?
Select all that apply.
A
-(-9) 9
B
-(-5) = -5
C
-(10) - 10
The opposite of 8 will be 8 units to the left of 0 on a number line,
E
The opposite of every number will be to the left of 0 on a number line
Answer:
A, C, D, and E
Step-by-step explanation:
B is not correct because you would have 5 = -5, which is not true
(03.03 MC)
PLZZ HELP ASAP Like I really need it....
The table below represents a linear function f(x) and the equation represents a function g(x):
X f(x)
-1 0 g(x)
0 0 g(x) = 7x + 2
1 3
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Answer:
use connects Q&A... they answer better nd quick
Use the vectors u = (4, 4) and v = (-5, 1) to find the indicated quantity.
(u*v)v
(u*v)v=
State whether the result is a vector or a scalar.
The result is a
Therefore, the result of (u*v)v is a vector with components (80, -16).
What is vectors?In mathematics, a vector is a mathematical object that has both magnitude and direction. Vectors are used to represent physical quantities such as force, velocity, and acceleration, as well as abstract mathematical quantities such as points, lines, and planes. A vector is usually represented geometrically as an arrow in a coordinate system, where the length of the arrow represents the magnitude of the vector, and the direction of the arrow represents the direction of the vector. Vectors can be added, subtracted, and multiplied by scalars, and these operations follow specific rules that make them a powerful tool for solving problems in mathematics, physics, engineering, and other fields. Vectors can have any number of dimensions, but in two-dimensional space, a vector can be represented as an ordered pair of numbers (x, y), where x and y represent the horizontal and vertical components of the vector, respectively. In three-dimensional space, a vector can be represented as an ordered triplet of numbers (x, y, z), and so on for higher dimensions.
Here,
To find (u*v)v, we first need to find the dot product of u and v, which is defined as:
u · v = (4, 4) · (-5, 1)
= (4 × -5) + (4 × 1)
= -20 + 4
= -16
Next, we need to multiply the dot product of u and v by v:
(u*v)v = (-16)(-5, 1)
= (80, -16)
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consider the matrix : what is the minimal approximation error achievable by a rank-1 approximation to ?
The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is
||A - A1||₂=0 where A is 2×2 matrix.
We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]
note here that C₂= 3C₁
where Cᵢ --> iᵗʰ column
v = [ 5 ; 6 ; -1 ; -4 ; 2]
||v||² = 82 => ||v|| = √82
and A At v = 820 v
and A At = [ 82 246 ; 246 738]
AAt [1;3] = 820[1;3]
=> v1 = 1/√10(1,3)^t
Then the best rank of 1 approx
= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]
= A
Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0
Hence, the minimal Approx. ||A - A1||2 = 0 .
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Complete question:
Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?
In Exercises 11 and 12, determine if b is a linear combination of a1, a2, and a3 11. a1 a2 12. a a2 a3
To determine if a vector b is a linear combination of given vectors a1, a2, and a3, set up the equation b = x * a1 + y * a2 + z * a3 (if a3 is given). Solve the system of equations for x, y, and z (if a3 is given). If there exist values for x, y (and z if a3 is given) that satisfy the equations, then b is a linear combination of a1, a2 (and a3 if given).
To determine if b is a linear combination of a1, a2, and a3 in Exercises 11 and 12, you will need to check if there exist scalars x, y, and z such that:
b = x * a1 + y * a2 + z * a3
For Exercise 11:
1. Write down the given vectors a1, a2, and b.
2. Set up the equation b = x * a1 + y * a2, as there is no a3 mentioned in this exercise.
3. Solve the system of equations for x and y.
For Exercise 12:
1. Write down the given vectors a1, a2, a3, and b.
2. Set up the equation b = x * a1 + y * a2 + z * a3.
3. Solve the system of equations for x, y, and z.
If you can find values for x, y (and z in Exercise 12) that satisfy the equations, then b is a linear combination of a1, a2 (and a3 in Exercise 12). Please provide the specific vectors for each exercise so I can assist you further in solving these problems.
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of the guests at a charity fundraiser, 180 own both a house in the hamptons and a house in palm beach. if not every guest at the fundraiser owns a house in either the hamptons or palm beach, what is the ratio of the number of people who own a house in palm beach but not in the hamptons to the number of people who own a house in the hamptons but not in palm beach? (1) one-half of the guests own a house in palm beach. (2) two-thirds of the guests own a house in the hamptons.
"NOT EVERYONE who attended ratio the fundraiser owned a home in the Hamptons or Palm Beach."
What is statement type questions?
In research, a statement of the problem is used as a claim that outlines the problem addressed by a study. The problem statement answers the question briefly: What is the problem that the research will address? What are the objectives of a problem statement?
Consider the following diagram in the attachment (12) for both statement
H = the number of people who owned a home in the Hamptons but did not own a home in Palm Beach.
P = the number of people who owned a home in Palm Beach but did not own a home in the Hamptons.
N = the number of people who did not own a home in Palm Beach or the Hamptons.
Union = H+P+180 Universal = H+P+180 + N P/H =??
Statement 1: (P+180) / (H + P + 180 + N) = 1/2 Inadequate
Statement 2: (H+180) / (H + P + 180 + N) = 2/3 Inadequate
1 and 2 statements
Solve for H and P to find P/H; however, N cannot be eliminated.
This is insufficient.
We should find the ratio of red boxes, however with the information provided, this is impossible.
"NOT EVERYONE who attended the fundraiser owned a house in the Hamptons or Palm Beach.".
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if you took only the fathers who were taller than 72 inches, and their sons, what is the correlation between their heights?
There is a strong positive correlation between the heights of fathers who are taller than 72 inches and their sons.
Based on the data provided in the image, if we only consider fathers who are taller than 72 inches and their sons, we can calculate the correlation between their heights by using the Pearson correlation coefficient.
First, we need to filter the data to only include fathers who are taller than 72 inches and their sons. Using the information in the image, we can see that there are 18 fathers who meet this criteria. We can create a new dataset with this information:
The Pearson correlation coefficient between these two variables is 0.703, which indicates a strong positive correlation between the heights of fathers and their sons who are taller than 72 inches.
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For the past three months, Grace used her cell phone for 43 minutes, 62 minutes, and 57 minutes. How many minutes would she have to use her cell phone this month for the average usage over the four months to be 55 minutes? Be sure to include units in your answer
Answer:
Step-by-step explanation:
If they want the average for four months to be 55 minutes, this means that the total of the four months = 55 x 4
Total of four months = 220 minutes
They already told us that the three previous months she used her cellphone for 43 minutes, 62 minutes and 57 minutes.
All you have to do now is subtract everything from the total of the four months.
4th month = 220 - 43 - 62 - 57
= ? Minutes
help me please im struggiling with this
Answer:
Step-by-step explanation:
Its easy if you think about it, the median is the middle number of the equation so you line the numbers up in order- least to greatest.
1,1,1,1,1,1,2,2,2,2,2,3,4,4,4.
Cross out the numbers until you hit one middle number!
Median is 2.
Each member of the Spring Valley Scouts recorded the number of wrapping paper rolls he sold in a fundraiser. 10 rolls 20 Save answer Wrapping paper rolls sold 30 40 50 What was the lower quartile of the number of wrapping paper rolls sold? 60
The lower quartile of the number of wrapping paper rolls sold is given as follows:
15 wrapping paper rolls.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.The lower quartile of a data-set is the 25th percentile, which is given by the left bar of the box, hence it is given as follows:
15 wrapping paper rolls.
Missing InformationThe box and whisker plot is given by the image presented at the end of the answer.
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i forgot how to do this, i need help please
Answer:
\(\frac{48}{13}\approx 3.7\)
Step-by-step explanation:
Two triangles are similar by AAA ( Angles B and B' are right angles, the two angles in C are congruent because opposite by the vertex, and the third by difference). Corresponding sides are in proportion. In particular \(x:6=8:13 \leftrightarrow 13x=6\cdot8 \rightarrow x = \frac{48}{13} \approx 3.7\)
Nathan participated in a six-mile Fun Run and finished in 42 minutes. At this rate, how long did it take Nathan to run each mile?
Answer:
7 minutes per mile
Step-by-step explanation:
42/6=7
Giving trapezoid EFGH with vertices E -5, 3F -3, 5G -1, one and H negativ
The coordinates E (-5, 3), F (-3, 5), G (5, -1), and H (one, negative) allow us to visualize and analyze the trapezoid's properties and relationships between its sides and angles.
The trapezoid EFGH is a polygon with four sides and one set of equal sides. The names of its vertices are as follows: The numbers are E (-5, 3), F (-3, 5), G (-5, -1), and H (one, negative).
On a Cartesian plane, the vertices' individual situations are addressed by their directions. In this case, E is located at (-5, 3)—that is, it is 5 units to the left and 3 units above the origin. In like manner, F is at (- 3, 5), exhibiting it is 3 units aside and 5 units over the start.
The trapezoid's parallel sides are EF and GH. The trapezoid's base is EF, and its top side is GH. By dividing the difference in y-coordinates squared by the square root of the difference in x-coordinates squared, the distance formula can be used to calculate the length of EF. In this case, EF is the square root of (22 + 22) = 8.
According to its coordinates, G is 5 units to the right and 1 unit below the origin. H (one, negative) indicates that it is one unit to the right of the origin and below the x-axis.
In conclusion, specific vertex coordinates define the trapezoid EFGH's shape and location on a Cartesian plane. The trapezoid's properties and connections between its sides and points can be imagined and investigated using the directions E (- 5, 3), F (- 3, 5), G (5, - 1), and H (one, negative).
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If d g and c be the Numbers of degree grades and radians of angle prove that D/180=G/200=C/pie
The angle subtended by an arc of length 'r' of a circle whose radius exists 'r' is comprehended as 1 radian.
The relations between sexagesimal measure (degree), centesimal measure(grade), and circular measure (radian) are
π radians = 180 Degrees
90 Degrees = 100 grades
⇒ 180 Degrees = 200 grades
Therefore, 180 Degrees = 200 grades = π radians
How radian measure related to degree measure?
To transform the value of the angle in degree, to its equivalent radians, we must multiply the given value by π/180.
For instance, the value of 180 degrees is π in radians.
In a complete rotation, the length of the intercepted arc exists equivalent to the circumference of the circle or 2πr.
Dividing the equation 180 degrees = π radians
The relations between sexagesimal measure (degree), centesimal measure(grade), and circular measure (radian) are
π radians = 180 Degrees
90 Degrees = 100 grades
⇒ 180 Degrees = 200 grades
Therefore, 180 Degrees = 200 grades = π radians
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Please Help Me!!! 50 Points
Find two positive numbers such that the sum of six times the first and twice the second is equal to 150 and their product is maximum
The equation does not give any specific values for "x" and "y", we can conclude that there are infinitely many pairs of positive numbers that satisfy both conditions. The product of these numbers will be the maximum.
Let's assume the two positive numbers as "x" and "y". We want to find the values of "x" and "y" that satisfy two conditions:
The sum of six times the first number and twice the second number is equal to 150: 6x + 2y = 150.
The product of the two numbers is maximum.
To find the values of "x" and "y" that maximize their product, we can use a mathematical principle known as the AM-GM inequality. According to this inequality, the arithmetic mean of two positive numbers is always greater than or equal to their geometric mean. In other words:
(x + y) / 2 ≥ √(xy)
Let's proceed with solving the problem:
Rewrite the equation from condition 1: 6x + 2y = 150.
Divide both sides of the equation by 2 to simplify it: 3x + y = 75.
Rearrange the equation to express y in terms of x: y = 75 - 3x.
Substitute this value of y into the equation from condition 1: 6x + 2(75 - 3x) = 150.
Simplify the equation: 6x + 150 - 6x = 150.
The equation simplifies to: 150 = 150.
This equation is an identity, meaning it is true for any value of "x" and "y".
Since the equation does not give any specific values for "x" and "y", we can conclude that there are infinitely many pairs of positive numbers that satisfy both conditions. The product of these numbers will be the maximum.
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1 pt
Mario Kart is a game in which players can choose between various karts
to race around a track. The speeds of certain karts are shown. Order the
three karts from slowest to fastest.
Peach's Kart: 3.5 kilometers per minute
Luigi's Kart: 150 miles per hour
Koopa Troopa's Kart: 151 feet per second
Answer:
Bro YOU HAVE TO GET METAL MARIO WITH HIS KART, ITS LITERALLY TO OP.
Step-by-step explanation:
Which graph shows a proportional relationship that passes through the point (2, 1)?
A.
B.
C.
D.
The graph that shows a proportional relationship that passes through the point (2, 1) is Graph A.
Equation of a lineA line is defined as a shortest distance between two points. In order to determine the graph that shows a proportional relationship that passes through the point (2, 1), we will need to multiply the coordinate by a scale factor and determine whether the point is on the line.
Using a factor of 2;
New coordinate = 2(2, 1)
New coordinate = (4, 2)
From the given graph, you can see that the only graph that has the coordinate point (4, 2) is the Graph A.
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Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answer:
B (169)
Step-by-step explanation:
Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
I think it would be 10.1 but I'm not 100% sure
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65ANSWER ASAP!!! Which table correctly lists the reasons to prove <1 = <3, given that AB intersects CD?
Answer: B
Step-by-step explanation:
Took the test
First table correctly list the reasons.
Given from fig two lines intersect each other and form angles as shown in fig.
Now we have to prove angle 1 equals to angle 3.
From table first all the step by step statement and reasons are correct but in table second 4th statement is correct but its reason is wrong. similarly in 3rd table 5th statement is correct but its reason is wrong.
So we can say now first table is correctly list the reasons to prove angle 1 equals to angle 2.
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A rectangular parking lot has an area of 1,650 square yards. The length of the parking lot is 55 yards. What is the width of the parking lot, in yards?
Answer:
w = 30 yd
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityGeometry
Area of a Rectangle: A = lw
l is lengthw is widthStep-by-step explanation:
Step 1: Define
A = 1650 yd²
l = 55 yd
w = unknown
Step 2: Solve for w
Substitute in variables [Area of a Rectangle]: 1650 yd² = (55 yd)(w yd)[Division Property of Equality] Divide 55 yd on both sides: 30 yd = wRewrite: w = 30 ydThe endpoints of a line segment are (–1, 6) and (8, 6). What is the length of the line segment?
A.
2 units
B.
7 units
C.
9 units
D.
12 units
Answer:
c. 9 units
Step-by-step explanation:
What is the value of x? 4/5 times 1/10 =3/10
Answer:
D) 1/2
Step-by-step explanation:
4/5x-1/10=3/10
4/5x=3/10+1/10
4/5x=4/10
4/5x=2/5
x=2/5÷4/5
x=2/5*5/4
x=10/20
x=1/2
I need the answer for this and how you got it please!!!
Answer:
Correct answer is B.
Step-by-step explanation:
They are equal.