Answer:
i believe it is (2,-3)
find height of the density curve
Answer:
0.2 on khan academy
Step-by-step explanation:
The probability that the patient recovers from a rare deadly disease is 40% and failure to recover is 60%.If 15 people contracted this disease what is the probability that a. 5 will survive? b. 8 will survive? c.12 will survive?(complete solution)
Answer:
a) 0.1859 = 18.59% probability that 5 will survive.
b) 0.1181 = 11.81% probability that 8 will survive.
c) 0.0016 = 0.16% probability that 12 will survive.
Step-by-step explanation:
For each patient, there are only two possible outcomes. Either they survive, or they do not. The probability of a patient surviving is independent of any other patient. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that the patient recovers from a rare deadly disease is 40%
This means that [tex]p = 0.4[/tex]
15 individuals
This means that [tex]n = 15[/tex]
a. 5 will survive
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{15,5}.(0.4)^{5}.(0.6)^{10} = 0.1859[/tex]
0.1859 = 18.59% probability that 5 will survive.
b. 8 will survive
This is P(X = 8). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{15,8}.(0.4)^{8}.(0.6)^{7} = 0.1181[/tex]
0.1181 = 11.81% probability that 8 will survive.
c.12 will survive
This is P(X = 12). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 12) = C_{15,12}.(0.4)^{12}.(0.6)^{3} = 0.0016[/tex]
0.0016 = 0.16% probability that 12 will survive.
Can someone help me find the answer to this riddle please?
Answer: Riddle
Step-by-step explanation: The letters that aren't in the second word, but are in the first make riddle. Like I got the r because it wasn't in bead but it was in bread, etc
Answer:
The answer is "Riddle"
Step-by-step explanation:
First letter: R
Second letter: I
Third letter: D
Fourth Letter: D
Fifth Letter: L
Sixth Letter: E
Imagine you wish to determine whether the mean number of hours worked per week by men in a sample differs from the 40-hour standard. Use the information below to calculate the value of the single-sample t statistic.
Range = 60
Min Value = 5
Max value = 65
Mean = 42.31
Variance =100.00
Standard deviation = 10.00
Sum = 1,227
Answer:
[tex]t = 7.359[/tex]
Step-by-step explanation:
Given
[tex]Range = 60[/tex]
[tex]Min = 5[/tex]
[tex]Max = 65[/tex]
[tex]\bar x = 42.31[/tex]
[tex]\sigma^2 =100.00[/tex]
[tex]\sigma = 10.00[/tex]
[tex]\sum = 1227[/tex]
[tex]n=40[/tex]
Required
The t statistic
This is calculated using:
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
Where
[tex]\mu \to[/tex] Population mean
[tex]\mu = \frac{\sum }{n}[/tex]
[tex]\sum = 1227[/tex] and [tex]n=40[/tex]
[tex]\mu = \frac{1227}{40}[/tex]
[tex]\mu = 30.675[/tex]
So, we have:
[tex]t = \frac{\bar x - \mu}{\sigma/\sqrt n}[/tex]
[tex]t = \frac{42.31 - 30.675}{10/\sqrt{40}}[/tex]
[tex]t = \frac{42.31 - 30.675}{10/6.325}[/tex]
[tex]t = \frac{11.635}{1.581}[/tex]
[tex]t = 7.359[/tex]
Home pregnancy tests, like all medical tests, are not perfectly accurate. Suppose one such test has an accuracy level such that if a woman is pregnant there is a 12% chance that the test will fail to show it. On the other hand, if the woman is not pregnant there is still a 3% chance that the test will incorrectly say that she is. Show all the steps including identification of what formulas/properties you used. Points will be deducted from answers if only the final answer is provided.
a) If Joan is pregnant what is the chance that the test will detect it?
b) Based on other factors, Joan estimates there is an 80% chance that she is pregnant.
Therefore, Joan takes a pregnancy test. What is the probability that the test will indicate that she is pregnant?
c) Joan looks at the test result and it does indicate that she is pregnant. Given this test result, what is the probability that she is pregnant?
d) Pamela has also taken this particular home pregnancy test. Before taking the test, she estimated there was a 75% chance that she
Answer:just go to the doctor
Step-by-step explanation:
A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your work;
note:
[ans:x+y=2,x+y=1 or x+y=2 ,x+y=3]
Be away from links,random answers:
Answer:
[tex] \displaystyle y = - x + 2[/tex]
[tex]y = - x +1[/tex]
Step-by-step explanation:
we are given a vertex of a square i.e (1,1)
and the equations of the two parallel sides
notice that, the given vertex coordinates satisfy one of the parallel side i.e y=x which means that (1,1) points lie on one of Parallel sides
remember that,
every angles of a square is 90°
therefore,
we need to figure out the remaining Perpendicular line of the given Parallel sides so
let's figure out the perpendicular line of y=x line
recall that,
Parallel lines have the same slope thus
[tex] \displaystyle m_{ \rm perpedicular} = - 1[/tex]
since we are given a vertex the equation of the perpendicular line should be
[tex] \displaystyle y - 1 = - 1(x - 1)[/tex]
distribute:
[tex] \displaystyle y - 1 = - x + 1[/tex]
add 1 to both sides:
[tex] \displaystyle y = - x + 2[/tex]
to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation
so the slope of the perpendicular line is -1
and the equation:
[tex]y - 0.5 = - 1(x - 0.5)[/tex]
distribute:
[tex]y - 0.5 = - x +0 .5[/tex]
add 0.5 to both sides:
[tex]y = - x +1[/tex]
and we are done!
Harry received a package for his birthday. The package weighed 350,000 centigrams. Select the conversions that are equivalent to 350,000 centigrams. Select all that apply.
35 kilograms
3,500 decigrams
350 dekagrams
3,500 grams
PLEASE ANSWER PLEASE
Given:
The package weighed 350,000 centigrams.
To find:
The conversions that are equivalent to 350,000 centigrams
Solution:
We know that,
1 centigrams (cg) = 0.000001 kilograms (kg)
1 cg = 0.1 decigrams (dg)
1 cg = 0.001 dekagrams (dag)
1 cg = 0.01 grams (g)
Using these conversions, we get
350,000 centigrams = 3.5 kilograms
350,000 centigrams = 35,000 decigrams
350,000 centigrams = 350 dekagrams
350,000 centigrams = 3,500 grams
Therefore the correct options are C and D.
Find the volume of the rectangular prism
Answer:
210cm
Step-by-step explanation:
Hope this helps
A box holds 12 markers. Nan takes out 6. Then she puts 2 back. Are there enough markers in the box for Fen to take out 10?
Answer:
Nope
Step-by-step explanation:
No because you can (12 + 6) +2 and get 8. so yea
-4x-10=2x+14
solve for x
Step-by-step explanation:
[tex]x = - 4 \\ [/tex]
hope am right
six million four hundred thousand six and six hundredths in standard form.
Answer:
6,400,006.06
Hope that this helps!
Answer: 6,400,006.06
Step-by-step explanation:
This is the standard form of the number.
select all the expressions that have a value greater than 19 X 12
Answer:
123
Step-by-step explanation:
Tell if each shape is a polygon or is not a polygon. Explain how you know. What makes that shape a polygon or not a polygon?
hope it helps :-) good morning ☀️.
Without using the formula, work out the gradient of the graph shown.
Give your answer in its simplest form.
9514 1404 393
Answer:
3/4
Step-by-step explanation:
The x- and y-intercepts are -4 and +3, respectively. These indicate a rise of 3 units for a run of 4 units. The gradient is the ratio of rise to run (sorry, that is the formula), so is ...
gradient = 3/4
Give me an example of an event that has a 2/5 chance of occuring.
Answer:
You have 2 red marbles and 3 green marbles in a bag. What is the probability that a red marble is pulled out of the bag?
What Expression is equivalent to 4 square root of 6 over 3square root of two
Answer:
4√6/3√2 = 4.62
Step-by-step explanation:
54 people in 1 bus, how many buses for 213 people are needed?
Answer:
4 buses
Step-by-step explanation:
213/54 = 3.9 but you have to round up to 4 since you can't have 9 tenths of a bus
The distance between New York City and Chicago is about 719 miles. The distance between New York City and Los Angeles is about 2462 miles. To the nearest tenth, about how many times as great is the distance from New York City to Los Angeles as the distance from New York City to Chicago?
A. 3181
B. 1743
C. 3.4
D. 3.0
Answer:
C. 3.4
Step-by-step explanation:
You must do 2462 divided by 719 to know how many times (key word: times, multiplication) greater is the distance.
So, the answer is C.
Hope this helped!! I'm not great at this type of math lol
<3
A different pack has 72 cards.
5/9 are yellow
Work out the number of yellow cards.
The product of two whole numbers is 360 an their sum is less than 100 what are the possible for the two numbers
Answer: 36 and 10
Step-by-step explanation:
36 * 10 = 360, 36 + 10 = 46
JK and LM are straight lines. Find /NOK.
( help me pls)
Answer:
[tex]NOK = 58[/tex]
Step-by-step explanation:
Given
[tex]JOM = 108[/tex]
[tex]LON = 50[/tex]
Required
Find NOK
From the attached triangle, we have:
[tex]LOK = JOM =108[/tex] --- Corresponding angles
And
[tex]LOK = LON + NOK[/tex]
Substitute for LOK and LON
[tex]108= 50+ NOK[/tex]
Make NOK the subject
[tex]NOK = 108 - 50[/tex]
[tex]NOK = 58[/tex]
The Quadratio Formula gives which roots for the equation 3x² + 3x = 2 ?
Step-by-step explanation:
the correct answer is option B
This is the floor of isaac's kitchen. Isaac needs to determine the area of the floor so he can order new tile. Enter the area, in square feet, of Isaac’s kitchen floor.
Answer:
134
Step-by-step explanation:
first, separate the floor into 3 different rectagles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9.5*7=66.5
rec 2: (10.5-4.5)*(14.5-5-7)=15
rec 3:5*10.5=52.5
Then:
66.5+52.5+15=134
2 divided by 1/3 in simpleast form
Answer:
6
Step-by-step explanation:
When dividing by a fraction flip it over and multiply
2 / (1/3) = 2 * 3/1
2 / (1/3) = 6/1
2 / (1/3) = 6
the original price of a book is $15 the book is selling for 25% less because of the slight damage .what is the cost of the damaged book
Answer:
the cost of the damaged book is 11.25
Step-by-step explanation:
since it is 25% off the 100% cost it is dicounted to 75% of the price
multiply full price by 75% (.75) to get 11.25
Help please!!! Don't come and steal my points please, I really need this answered.
Answer: 4x [tex]\leq[/tex] 36
Step-by-step explanation: Four times the number is no more than ("less than or equal to") 36: 4x ≤ 36 (by dividing both sides by 4, this is equivalent to x ≤ 9 )
Hope this helped!!!!!!!!!! And ps why are there so many people stealing points on here now
.....................................................
Answer:
....................................................whats up
have a good day :)
Step-by-step explanation:
A spinner with 6 equally sized slices has 2 red slices, 1 blue slice, and 3 yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice?
Answer:
The probability is 2/6, or 1/3 (about 33%)
Step-by-step explanation:
Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.
Which group should Leon survey to get the most accurate results?
O A. the students in his math class
O B. every 5th student entering the school
O c. the boys he hangs out with at lunchtime
D. every 8th student who uses the computer center
Since Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often, the appropriate group will be D. every 8th student who uses the computer center.
What is communication?It should be noted that communication simply had to do with the exchange of information.
In this case, Leon wants to know whether the students at his middle school use e-mail, telephone, or text messaging to communicate most often.
In this case, the people who enter the computer center will his him the necessary information that he needs.
Therefore, the correct option is D.
Learn more about communication on:
brainly.com/question/26152499
#SPJ1
please help, the answer below is a option but i need a answer for the question
Answer:
12 units^2
Step-by-step explanation: