Type the correct answer in each box. use numerals instead of words.
lab tests of a new drug indicate a 70% success rate in completely curing the targeted disease. the doctors at the lab created the random data in the table using representative simulation. the letter e stands for "effective," and n stands for "not effective.
the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is ______. the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is ______.
Answers
To find the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective, we can use the geometric distribution. The probability of not curing the disease is 1 - 0.70 = 0.30.
Let X be the number of patients needed to find one patient on whom the medicine would not be effective. Then X follows a geometric distribution with p = 0.30. The probability that it will take at least five patients to find one patient on whom the medicine would not be effective is:
P(X ≥ 5) = (1 - p)^(5-1) = 0.7^4 ≈ 0.2401
Therefore, the estimated probability that it will take at least five patients to find one patient on whom the medicine would not be effective is approximately 0.2401.
To find the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients, we can use the binomial distribution. Let X be the number of patients out of four who are cured by the medicine. Then X follows a binomial distribution with n = 4 and p = 0.70. The probability that the medicine will be effective on exactly three out of four randomly selected patients is:
P(X = 3) = (4 choose 3) * (0.70)^3 * (1 - 0.70)^(4-3) = 4 * 0.343 * 0.3^1 ≈ 0.4116
Therefore, the estimated probability that the medicine will be effective on exactly three out of four randomly selected patients is approximately 0.4116.
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Related Questions
PLEASE HELP ME ASAP!!!!!!!
In a party, the guest's attendance depends on their vehicle status. If they have four wheelers then the attendance of guests is 2500 and if they have two wheelers then the attendance of guests is 1500. If on the next party, 70% of families will have four wheelers and 30% of families will have two wheelers. What is the expected attendance of guests?
Answers
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
what is percentage ?In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
2500 guests are present when four-wheelers are available.
two wheelers, the number of guests is 1500,
making the total 2500 + 1500 = 4000.
70 percent of families will own four-wheelers, or 3000/4000/100.
30% of families will own two-wheelers, which equals 4000/100 * 30%, or 1200.
When 70% of families will have four-wheelers and 30% of families will have two-wheelers, the projected guest attendance is 3000+1200 = 4200.
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I do not understand of where to begin, and yes, that is all of the problem.
Answers
First multiply out the negative
Y+2=-x+4
Then use balance to get the two on the opposite side
ANSWER: y=-x+2
Landon reads for 45 minutes 5 times a week. Marisa reads for 100 minutes 3 times a week. Daniel reads for 25 minutes 7 times a week. Out of the three students who reads the most per week? What is the difference between the person who reads the most and the person who reads the least?
Answers
Answer:
Marisa
Step-by-step explanation:
Factor the quadratic expression completely.
-3x² +172-20=
Answers
Answer: The given quadratic expression is -3x²+172x-20. To factor this expression, we look for two numbers that multiply to -20 and add to 172.
We can start by dividing -20 by different numbers and checking if the product and the sum of the divisors equals -20 and 172 respectively.
-20/1 = -20, 1+-20 = -19
-20/2 = -10, 2+-10 = -8
-20/4 = -5, 4+-5 = -1
-20/-1 = 20, -1+20 = 19
-20/-2 = 10, -2+10 = 8
-20/-4 = 5, -4+5 = 1
We can see that the divisors that multiply to -20 and add to 172 are (x+8)(x-5)
So, we can factor the quadratic expression as:
-3x²+172x-20 = -3(x+8)(x-5)
Hope this helps!
Step-by-step explanation:
sales for the dress department last year were $82,000. the manager for the department plans an increase of 12.5or this year. what is this year's projected sales volume?
Answers
Sales for the dress department last year were $82,000. The manager for the department plans an increase of 12.5% this year. So, the projected sales volume for this year is $92,250.
To calculate this year's projected sales volume we will add 12.5% of the sales of the last year to the sales of last year. This can be calculated by using the formula:
S = P + (P × r / 100)
Where S is new sales, P is old sales, and r is a rate of increase.
In this problem, the value of P is $82,000 and the rate of increase is 12.5%. Now, let's plug these values into the formula and solve for S:
S = P + (P × r / 100)
S = $82,000 + ($82,000 × 12.5 / 100)
S = $82,000 + $10,250S = $92,250
Hence, the projected sales volume for this year is $92,250.
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3y-2x= -9
Answers
y=2/3x-3 that is the slope intercept form
The ratio of girls to boys in a bicycling club was 3 : 4. There were 27 girls. How many total members were there in the club?
Answers
Answer:
63
Step-by-step explanation:
first get the value of boys by cross multiplying (4 multiplied by 27 then divide by 3.The value you get add it to 27Tell whether the root of the word below is locked or free,
madness
1.locked
2.free
Help me please
Answers
Answer:
free
Step-by-step explanation:
Find the greatest common factor of 6 and 35
Answers
Answer:
1
Step-by-step explanation:
Factors of 6 and 35:
6 = 1, 2, 3, 6
35 = 1, 5, 7, 35
The only common factor in both numbers is 1
The highest common factor is 1.
GCF = 1
Answer:
1
Step-by-step explanation:
Prime factorizations:
6 = 2 × 3
35 = 5 × 7
There are no factors in common, so the GCF is 1.
please help i have a test tomorrow and i dont know how to do this
Answers
Answer:
90 - 2x
Step-by-step explanation:
Angle A and B are both equal as both connect to the middle of the circle
ABO = \(x\)
BAO = \(x\)
Look at the diagram I attached
Angle ABC is = \(x+90\)
Angle BAC = \(x\)
Total Angle in a Triangle = 180
\(x + 90 + x + ACB = 180\)
\(180 - 90 - 2x = ACB\)
\(ACB = 90 - 2x\)
The twelve-inch square tiles are shipped in boxes of 20 pieces per box. Each of the boxes weighs 36 pounds. Approximately how many ounces does each tile weigh?
Answers
Each twelve-inch square tile weighs approximately 27 ounces.
To calculate the weight of each tile in ounces, we need to convert the weight of the box from pounds to ounces and divide it by the number of tiles in the box. Since there are 16 ounces in a pound, the weight of each box is 36 pounds * 16 ounces/pound = 576 ounces.
If there are 20 tiles in each box, we divide the weight of the box (576 ounces) by the number of tiles (20) to get the weight of each tile: 576 ounces / 20 tiles = 28.8 ounces. Rounding to the nearest ounce, each twelve-inch square tile weighs approximately 27 ounces.
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9) Solve
2y + 4 > 24
Answers
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
y>10
Interval Notation:
(10,∞)
Step-by-step explanation:
Ummm... I'm not exactly sure what you are asking for.
If you want the inequality it is:
y>10
PLEASE HELP WILL MARK BRAINLIEST!!
Answers
Answer:
Explanation below.
Step-by-step explanation:
1. a. \(\sqrt{x} =12\)
b. \(\sqrt{x} ^{2}=12^{2}\)
c. x=144
2. a. \(\sqrt{x^{2} } =\sqrt{196}\)
b. x= 14
3.
\(\sqrt{x} -4 +4= 8+4\\\sqrt{x} =12\\x= 3.46410161514 \\or \\2\sqrt{3}\)
4.
\(2(x^{2} +3)=398\\x^{2} +3= 199\\x^{2} =196\\x=14\)
Answer:
Hello!
1st problem: x = 144
2nd problem: x = 14
3rd problem: x = 144
4th problem: x = 14
What’s 1+2842-40+7263-1000
Answers
Answer:
9,066 is your answer
Match the number with the correct label. 0 <——|——|——|——|—-> -2/3 -1/3 0/3 1/3Label | Number————|———— A. -0.2 B. -2/8 C. -3/7
Answers
To correctly match the points to the options, we should first convert the fractions on the line to decimals.
\(\begin{gathered} -\frac{1}{3}\text{ is the same as -0.33} \\ -\frac{2}{3}\text{ is the same as -0.67} \end{gathered}\)The points -2/8 and -3,7 in decimals are:
\(\begin{gathered} \frac{-2}{8}\text{ = -0.25} \\ \frac{-3}{7}\text{ = -0.43} \end{gathered}\)When we compare the points on the line to the options, we have:
\(\begin{gathered} a\text{ : }\frac{-3}{7} \\ b\text{ : -}\frac{2}{8} \\ c\text{ : -0.2} \end{gathered}\)Answers:
a : -3/7
b : -2/8
c : -0.2
HELPPPP HURRYYYYY I DONT KNOW WHEN THIS IS DUE
Answers
Answer is 2nd answer
Dalia flies an ultralight plane with a tailwind to a nearby town in 1/3 of an hour. On the return trip, she travels the same distance in 3/5 of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane
Answers
To find the average rate of speed of the wind and the plane, we can use the formula: distance = rate × time. Therefore, the average rate of speed of the wind is P/3.5, and the average rate of speed of the plane is P.
we have the equation: distance = (P + W) × 1/3. On the return trip against the headwind, the effective speed of the plane is the difference between the plane's rate and the wind's rate: P - W. Given that the time taken is 3/5 hour, we have the equation: distance = (P - W) × 3/5. Since the distance traveled is the same in both cases, we can set up the following equation: (P + W) × 1/3 = (P - W) × 3/5.
On the left side, we have (P + W) × 1/3 = (P/3) + (W/3).
On the right side, we have (P - W) × 3/5 = (3P/5) - (3W/5).
Simplifying further, we have 5W + 9W = 9P - 5P.
Combining like terms, we get 14W = 4P.
Finally, we can divide both sides by 4 to solve for W: W = P/3.5.
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Give a proof by contradiction that if 5n+4 is an odd integer then n is odd. Write out the statement you are using for proof by contradiction.
Answers
Therefore, if 5n + 4 is an odd integer, n must be odd. We will prove by contradiction that if 5n + 4 is an odd integer, then n must be odd.
To prove this statement by contradiction, we assume the opposite: that if 5n + 4 is an odd integer, then n is even. Suppose there exists an integer n such that 5n + 4 is an odd integer, but n is even.
If n is even, we can write it as n = 2k, where k is an integer. Substituting this into the equation 5n + 4, we get 5(2k) + 4 = 10k + 4. Now, let's assume that 10k + 4 is an odd integer.
An odd integer can be written in the form 2m + 1, where m is an integer. So, we have 10k + 4 = 2m + 1. Rearranging this equation, we get 10k = 2m - 3.
Now, notice that the left side of the equation is divisible by 2 since 10k is always even. However, the right side, 2m - 3, is an odd number (2m is even, and subtracting 3 from an even number results in an odd number). This creates a contradiction since an even number cannot be equal to an odd number.
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Which of the following correctly describes the relationship between a parameter & a statistic?
a) A statistic is calculated from sample data and it's generally used to estimate a parameter.
b) statistics are a group of subjects selected according to the parameters of the study.
c) A parameter is calculated from sample data and is generally used to estimate a statistic.
d) A perimeter and a statistic are not related.
Answers
(a) correctly describes the relationship between a parameter and a statistic.
The correct description is:
a) A statistic is calculated from sample data and is generally used to estimate a parameter.
In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.
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Please someone help me figure out this scientific notation question
Answers
Scientific notation: 10¹
Integer: 10
The average radius of the sun is 10 times greater than the average
Explanation:The average radius of Jupiter:
\(R_J=4.34\times10^4miles_{}_{}\)The average radius of the sun:
\(R_s=4.32\times10^5miles\)The ratio of the two Radii
\(\frac{R_s}{R_J}=\frac{4.32\times10^5}{4.34\times10^4}\)\(\begin{gathered} \frac{R_s}{R_J}=0.995\times10 \\ \frac{R_s}{R_J}=9.95 \\ \frac{R_s}{R_J}=10\text{ (to the nearest integer)} \end{gathered}\)The average radius of the sun is 10 times greater than the average
a slope-intercept equation of the line whose graph is perpendicular to
2x + 9y = 8 and has the y-intercept (0, -3)
Answers
Step-by-step explanation:
let eqn be y = mx + b.
2x + 9y = 8
9y = -2x + 8
y = -2/9 x + 8/9
since the lines are perpendicular, product of the slope of the two lines = -1.
hence,
m x -2/9 = -1
m = 9/2
sub (0, -3):
-3 = 9/2(0) + b
b = -3
therefore equation is: y = 9/2x - 3
Topic: coordinate geometry
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Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percentage error? Use proportional relationships to solve the problem. Show all your work and round your answer to the nearest tenth.
Answers
After solving the question, Teresa’s percentage error is 12.5%
In the given question we have to find the percentage error that Teresa done in measuring the height of the girrafe.
The estimated height of the giraffe is 18 feet.
The real height of the giraffe is 16 feet.
So the difference of height between estimated and real = 18-16 = 2 feet
So the percentage error = difference between height/real height *100
The percentage error = 2/16 *100
The percentage error = 200/16
The percentage error = 12.5%
Hence, Teresa’s percentage error is 12.5%.
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Use the functions and the scenario to solve the problem.
f(x)=1/2x+6
g(x)=x−3
Shiloh and Leanne are asked to evaluate f(x)−g(x).
Shiloh suggests f(x)−g(x)=(x−3)−(1/2x+6)=1/2x−9.
Leanne suggests f(x)−g(x)=(12x+6)−(x−3)=−12x+9.
Evaluate each student's answer.
Select two answers. Select the correct evaluation of Shiloh's work and the correct evaluation of Leanne's work.
Answers
The function f(x) - g(x) is an illustration of a composite function
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
How to estimate the student's answer?The functions are given as:
f(x) = 1/2x + 6
g(x) = x - 3
The function f(x) - g(x) is calculated using:
f(x) - g(x) = 1/2x + 6 - x + 3
Collect like terms
f(x) - g(x) = 1/2x - x + 6 + 3
Evaluate the like terms
f(x) - g(x) = -1/2x + 9
By comparing the above solution to the students' response, we can see that:
Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct
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What's nine plus ten? Is it 21 or 19
Answers
Answer:
19 duh
Step-by-step explanation:
he A water pail in your backyard has a small hole in it. You notice that it has drained a total of 1.5 liters in 4 days. What is the average change in water volume each day?
Answers
Answer:
0.375 liters per day
Step-by-step explanation:
1.5 / 4 = 0.375 liters per day
PLZ HELP!!! WILL GIVE HIGHEST POINTS IF THE ANSWER IS RIGHT!!
Answers
Step-by-step explanation:
Standard polynomial is:
\( - 20 {x}^{3} - 3 {x}^{2} + 4x\)
Leading co effecient is:
-20
6(2x-8)=56
helpppp please
Answers
Answer:
Yes
Step-by-step explanation:
Pls I really need help with this question!!!!
Answers
Explanation: Use the method of: SOH CAH TOA.
Using TOA, T = Tangent.
tan(71) = x/15. Using the butterfly method you can just do the following equation:
15 tan(71) = 43.56 (Rounded to tenth) —> 43.6
A triangular pyramid has a surface area of 174 square feet. It is made up of equilateral triangles with side lengths of 10 feet. What is the slant height?
Answers
Answer:
Slant height = 7.07 ft to nearest hundredth.
Step-by-step explanation:
The slant height = height of one of the triangular sides
Using Pythagoras:
S^2 = 1/2 * 10^2 + 10^2 = 50 ft.
S = √50 = 7.071
There are 100 students in the freshman class of a high school. Three-tenths of the class is going on a field trip today. Which of the following is the number of freshmen who will be staying at the school?
A. 3
B. 30
C. 70
D. 97
Answers
C. 70 freshmen will be staying at the school while the other 30 (3/10 of 100) go on the field trip.
To determine the number of freshmen who will be staying at the school, we need to calculate the portion of the class that is not going on the field trip.
Given that three-tenths (3/10) of the class is going on the field trip, the remaining portion of the class that will be staying at the school can be calculated as:
1 - 3/10 = 7/10
To find the number of freshmen who will be staying at the school, we multiply the remaining portion (7/10) by the total number of students in the freshman class (100):
(7/10) * 100 = 70
Therefore, the correct answer is C. 70 freshmen will be staying at the school while the other 30 (3/10 of 100) go on the field trip.
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