Final answer:
To find the number of patients who had all three complaints (fever, stomach issues, and injury), we can use a Venn diagram. From the given information, we determine that 30 patients had all three complaints.
Explanation:
To find the number of patients who had all three complaints, we can use a Venn diagram. Let's start with the information given:
Total number of patients = 100Number of patients who complained of fever = 70Number of patients who complained of stomach issues = 50Number of patients who were injured = 30All 100 patients had at least one complaintTo determine the number of patients who had all three complaints, we need to find the overlapping region in the Venn diagram. From the given information, we can determine the following:
The number of patients who complained of fever and stomach issues = 100 - 30 (injured patients) = 70The number of patients who complained of fever and were injured = 70 - 50 (patients with stomach issues) = 20The number of patients who complained of stomach issues and were injured = 50 - 20 (patients with both fever and injury) = 30The number of patients who had all three complaints = 30 (those who complained of stomach issues and were injured)Therefore, the number of patients who had all three complaints is 30.
Final answer:
To find out how many patients had all three complaints of fever, stomach pain, and injury, we used the principle of inclusion-exclusion and found that 25 patients had all three complaints.
Explanation:
To determine how many patients had all three complaints (fever, stomach pain, and injury) at the hospital, we can use the principle of inclusion-exclusion from combinatorics.
First, we add the number of people with each complaint:
People with fever: 70
People with stomach pain: 50
People with injury: 30
According to the inclusion-exclusion principle:
Total with all complaints = (People with fever) + (People with stomach pain) + (People with injury) - (People with fever and stomach pain) - (People with fever and injury) - (People with stomach pain and injury) + (People with all three complaints)
Since all 100 patients had at least one complaint, and assuming the least number of people with multiple complaints, we minimize the terms (People with fever and stomach pain), (People with fever and injury), and (People with stomach pain and injury). The minimum number for all these combined categories is the sum of individual complaints minus the total number of patients, which is (70 + 50 + 30) - 100 = 50.
Therefore, if there were no people with all three complaints, the total with any two complaints would be 50. However, this number includes people with all three complaints three times (once for each pair of complaints). To correct this, we subtract twice the number of people with all three complaints to get the true number of people with exactly two complaints:
50 - 2*(People with all three complaints) = Total with exactly two complaints
If there are no people with exactly two complaints, then this means that all 50 are those with all three complaints:
50 - 2*(People with all three complaints) = 0
Solving for (People with all three complaints), we get:
(People with all three complaints) = 50 / 2
(People with all three complaints) = 25
This result suggests that 25 patients had all three complaints of fever, stomach pain, and injury.
The square root of 150 is between
A.10 and 11
B.11 and 12
C.12 and 13
D.13 and 14
Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the nearest tenth.
The height of the door in the drawing will be 1/2 centimeters.
What is scale factor?Scale factor is used to compare the size of two objects. Mathematically, we can write -
{K} = S{O1}/S{O2}
13 mg
Given is that the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters.
Height of the door = 2 meters
Scale : 1 centimeter = 4 meters.
So, in one meters, there will be - 1/4 centimeters.
In 2 meters, there will be -
(1/4) x 2 = 1/2 centimeters
Therefore, the height of the door in the drawing will be 1/2 centimeters.
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You deposit $5000 each year into an account earning 8% interest compounded annually. How much will you have in the account in 20 years?
if the raidus of mars(3,397 km) is about 13.7% of of neptunes radius, what is the radius of neptune?
You swim the 50-meter freestyle in 28.12 seconds.This is 0.14 second less than your previous fastest time. What was your previous fastest time?
If a person swim the 50-meter freestyle in 28.12 seconds. This is 0.14 second less than persons previous fastest time is 28.26.
What is Equation?
Two or more expressions with an equal sign is called as equation.
Given that,
One swim the 50-meter freestyle in 28.12 seconds..
The previous fastest time be x.
The new fastest time is 28.12 seconds.
New fastest time is 0.14 second less than your previous fastest time.
So, 28.12+0.14=x
28.26=x
Hence the previous fastest time is 28.26 seconds.
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What is the end behavior of f(x)=5x^3-2x+5
solve for first two positive solutions sin(3x)cos (4x)+cos(3x)sin(4x)=-0.9
At what projection angle will the range of a projectile equal to 6 times its maximum height?
A card is randomly selected from a deck of 52 cards. Find the probability that the card is between four and eight (inclusive) or is a club.
Answer:
20/52+13/52-5/52=.538
Step-by-step explanation:
The probability that the card is between four and eight (inclusive) or is a club is 4/13.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The number of cards can be written as,
The number of cards between 4 and 8 is 3 {4,5,6,7,8}.Number of club cards = 13Number of cards between 4 and 8 from heart, spades, and diamonds = 15Now, the probability that the card is between four and eight (inclusive) or is a club is,
Probability
= (Number of club cards+ Number of cards between 4 and 8)/(Total number of cards)
= (13+15)/(52)
= 28/52
= 4/13
Hence, the probability that the card is between four and eight (inclusive) or is a club is 4/13.
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Find the mean median mode and range of this date 49,49,54,55,52,49,55, if necessary round to the nearest tenth
identify the type of of function represented by the equation y=2x^2
What is the effect of decreasing the alpha level (for example, from a = .05 to a = .01)? it decreases the probability of a type i error. it decreases the size of the critical region. it decreases the probability that the sample will fall into the critical region. all of the other options are results of decreasing alpha?
If a gambler rolls two dice and gets a sum of 10, he wins $10, and if he gets a sum of three, he wins $20. the cost to play the game is $5. what is the expectation of this game?
a. $3.06
b. -$2.78
c. -$3.06
d. $2.78
Final answer:
The expected value of the gambling game with a cost of $5, and potential winnings of $10 for a sum of 10 or $20 for a sum 3, is −$2.78. The calculation shows the player will lose $2.78 on average per game, indicating it is not a profitable game to play long term. So, option (b) is correct.
Explanation:
The student is interested in determining the expected value of a gambling game where rolling two dice can result in either winning money or losing the cost to play. To find the expected value, we must consider the probability of each outcome and its associated payoff.
First, we calculate the chances of rolling a sum of 10 with two dice. There are three combinations that give a sum of 10: (4,6), (5,5), and (6,4). Since there are 36 possible outcomes when rolling two dice, the probability of obtaining a sum of 10 is 3/36 or 1/12.
Similarly, the only combinations that result in a sum of 3 are (1,2) and (2,1). Thus, the probability of rolling a sum of 3 is 2/36 or 1/18.
The expected value (EV) can be calculated using the formula:
EV = (−cost to play) + [P(sum of 10) × winnings for 10] + [P(sum of 3) × winnings for 3]
Substituting the given values yields:
EV = (−5) + [(1/12) × 10] + [(1/18) × 20]
After calculating, we find tha-
EV = −$2.78.
Since the expected value is negative, this implies that, on average, the player will lose $2.78 per game. Therefore, playing this game would result in an average loss over time.
which of the following was a result of prison reform during the 1800s
A. a decrease in prisons
B. a decrease in crime
C. the formation of mental hospitals
D. the formation of public schools in rural areas
Answer:
C. the formation of mental hospitals
Step-by-step explanation:
During that time the jail and asylum conditions were worse.
The inmates especially the mentally ill, were bound in chains and locked in cages.
Hence, with the reform movement, came the formation of mental hospitals. Public asylums were made for the mentally ill incarcerated people.
The 2015 senior class from puma high school raised funds for an end of the year party at club sizzle. It costs $4,000 to rent out club sizzle plus $20 per student for food and drinks. If the senior class raised 11,000, how many students can attend the end of year party ? Write an equation for the situation and solve.
Which number is 100 times greater than 6 thousandths
Every night, Mary spends 3 hours doing homework, 30 minutes practicing the piano, and 35 minutes talking on the phone. What is the total number of minutes Mary spends doing these activities?
Raj eats 1/11 of a pound of grapes in 1/25 of a minute. How many minutes will it take him to eat a full pound of grapes?
find the equation to the line that is perpendicular to y=2x-3 and goes through the point (-1,2)
There are three highways in the county. the number of daily accidents that occur on these highways are poisson random variables with respective parameters .3, .5, and .7. find the expected number of accidents that will happen on any of these highways today.
Final answer:
To find the expected number of accidents on three highways with Poisson distributions, sum the individual expectations: 0.3, 0.5, and 0.7, resulting in an expected 1.5 accidents per day.
Explanation:
The student asked how to find the expected number of accidents that will happen on any of the three highways in a day, given that the number of daily accidents on these highways are Poisson random variables with parameters 0.3, 0.5, and 0.7 respectively. To solve this, we shall sum the parameters of the Poisson distributions because the expectation of the sum of independent random variables is the sum of their expectations.
Therefore, we calculate the expected number of accidents as follows:
For the first highway with parameter 0.3, the expected number of accidents is 0.3.
For the second highway with parameter 0.5, the expected number of accidents is 0.5.
For the third highway with parameter 0.7, the expected number of accidents is 0.7.
Adding these together, we get:
Expected number = 0.3 + 0.5 + 0.7 = 1.5 accidents per day.
Alyssa is building a brick mailbox. She is going to stack bricks that are each \dfrac23 \text{ft}
3
2
ftstart fraction, 2, divided by, 3, end fraction, f, t tall, and the finished stack of bricks needs to be 4\dfrac23 \text{ft}4
3
2
ft4, start fraction, 2, divided by, 3, end fraction, f, t tall.
How many bricks will go in the stack?
Find the percent of tip: Cost of meal: $28.00 Tip: $3.36 The percent of the tip was ___%.
Answer:
12.00%
Step-by-step explanation:
[tex]$3.36\\[/tex] ÷ [tex]$28.00\\[/tex] = [tex]0.12\\[/tex]
[tex]100 *0.12=12%\\[/tex] %
248mph equals how many meters per second
A customer has six (6) $1 bills, three (3) $5 bills, four (4) $10 bills, seven (7) quarters, ten (10) dimes, seven (7) nickels, and nine (9) pennies. The customer buys a pair of shoes for $49.86. Based on the combination of bills and coins the customer has, what are the least number of bills and coins the customer can give the cashier in order to buy the shoes for the exact amount and not require any change back?
The Lombardo family went out to dinner and their full mean costed $62. If they left a 20% tip, how much did they tip?
Can someone please help?
An observer (O) spots a plane flying at a 35° angle to his horizontal line of sight. If the plane is flying at an altitude of 17,000 ft., what is the distance (x) from the plane (P) to the observer (O)?
20,757 feet
24,251 feet
29,639 feet
31,262 feet
Answer:
here are numerous information's already given in the question. Based on those information's, the answer to the question can be easily deduced.
Angle at which the plane is flying in respect to the observer = 35 degree
Altitude at which the plane is flying = 17000 feet
The distance at which the plane is flying from the observer = x
Then
x = 17000/sin 35
= 17000/0.57357
= 29638.93 feet
= 29639 feet
From the above deduction, we can conclude that the correct option among all the options given in the question is the third option.
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The distance between the plane and the observer is 29,638 feet.
Data;
Angle = 35 degreesheight of the plane = 17,000ftdistance from the plane to the observer = xTrigonometric RatioThis is the use of SOHCAHTOA which is the relationship between sides of a right angle triangle and it's angle.
In this case, we have the value of opposite and angle and we need to find the hypothenuse.
Using sine of the angle,
[tex]sin\theta = \frac{opposite}{hypothenuse} \\sin 35 = \frac{17000}{x}\\ x = \frac{17000}{sin35}\\ x = 29,638 feet[/tex]
The distance between the plane and the observer is 29,638 feet.
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Marshall bought some pet supplies for $15. The sales tax was 6%. He wrote the expression 1.06(15) to find his total cost.
Which equivalent expression could he also use to find the total cost?
A. 15+0.6(15)
B. (1+0.06)15
C. 1+0.06(15)
D.15 + 0.06
A pooled proportion is calculated by giving each sample proportion an equal weight.
a. True
b. False
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
Explanation:In this situation, the expression 400 + 0.1s represents Tasha's total earnings for the week. The $400 represents her base salary, and the 0.1s represents the commission she earns on her sales. The value of s represents Tasha's total sales for the week.
For example, if Tasha's total sales for the week are $2000, then her commission would be 0.1($2000) = $200. Adding this to her base salary of $400, her total earnings for the week would be $400 + $200 = $600.
Therefore, the expression 400 + 0.1s represents Tasha's total earnings for the week, including her base salary and commission.
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