Answer:
Four million, one hundred thirty-nine thousand
Help me plss!!!!!!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Clarinex-D is a medication whose purpose is to reduce the symptoms associated with a variety of allergies. In clinical trials of Clarinex-D, 5% of patients in the study experienced insomnia as a side effect of taking the medication. Suppose a random sample of 20 patients who took Clarinex-D is obtained and the number of patients who experienced insomnia, X, is recorded. For parts (b)-(d), write a probability statement, such as P(X>3), and calculate the probability (either by hand or using software). Be careful of the wording. Know the difference between less than, at most, etc.
Required:
a. What are the possible values of X?
b. Find the probability that exactly 3 experience insomnia as a side effect?
c. Find the probability 3 or fewer experience insomnia?
d. Between 1 and 4 experience insomnia.
e. Would it be unusual to find 4 or more patients experience insomnia as a side effect?
Using the binomial distribution, it is found that:
a) The possible values of X are between 0 and 20.
b) 0.0596 = 5.96% probability that exactly 3 experience insomnia as a side effect.
c) 0.9842 = 98.42% probability 3 or fewer experience insomnia.
d) 0.639 = 63.9% probability that between 1 and 4 experience insomnia.
e) Since [tex]4 > E(X) + 2.5\sqrt{V(X)}[/tex], it would be unusual to find 4 or more patients experience insomnia as a side effect.
For each patient, there are only two possible outcomes, either they experience insomnia, or they did not. The probability of a patient having experienced insomnia is independent of any other patient, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The expected value is:
[tex]E(X) = np[/tex]
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)}[/tex]
If a measure is more than 2.5 standard deviations above the mean, it is considered unusual.
In this problem:
20 trials, thus [tex]n = 20[/tex]5% experience insomnia, thus [tex]p = 0.05[/tex]Item a:
The possible values of X are always between 0 and n, thus in this case, it is between 0 and 20.
Item b:
This probability is P(X = 3), thus:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]
0.0596 = 5.96% probability that exactly 3 experience insomnia as a side effect.
Item c:
This probability is [tex]P(X \leq 3)[/tex], given by:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]
[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]
0.9842 = 98.42% probability 3 or fewer experience insomnia.
Item d:
This probability is:
[tex]P(1 \leq X \leq 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)[/tex]
Then
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]
[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]
[tex]P(X = 4) = C_{20,4}.(0.05)^{4}.(0.95)^{16} = 0.0133[/tex]
[tex]P(1 \leq X \leq 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.3774 + 0.1887 + 0.0596 + 0.0133 = 0.639[/tex]
0.639 = 63.9% probability that between 1 and 4 experience insomnia.
Item e:
[tex]E(X) = np = 20(0.05) = 1[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{20(0.5)(0.95)} = 0.975[/tex]
[tex]E(X) + 2.5\sqrt{V(X)} = 1 + 2.5(0.975) = 3.44[/tex]
Since [tex]4 > E(X) + 2.5\sqrt{V(X)}[/tex], it would be unusual to find 4 or more patients experience insomnia as a side effect.
A similar problem is given at https://brainly.com/question/24863377
What is the next term of the arithmetic sequence? -7 -7 1 5 9
Answer:
No solution, this is not an arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is the same number being added over and over. This is not the case.
Find the probability of getting a number greater than 5 when a die is rolled one time
Answer:
50%
Step-by-step explanation:
PLEASE ANSWER THESE QUICK I NEED HELP PLEASE ITS ALGEBRA
1. Describe the graph of y = -|x + 4| - 5.
2. Describe how to use the Vertical Line Test and what it can tell us.
Step-by-step explanation:
1.) y = - |x - 4| - 5 is an absolute value graph, where its vertex occurs at point (4, -5). The general form of the absolute value function is y = a |x – h| + k, where where:
a ≠ 0, and the value of a determines whether the graph opens up or down. If a is between 0 and 1, the graph is wider than the parent function.(h, k ) represents the vertex.The given absolute value function, y = - |x - 4| - 5 is a downward-facing graph, where it is translated 4 units to the right (as given by the value of h = 4), and 5 units downward (as given by the value of k = 5).
2.) The Vertical Line Test allows us to know whether or not a graph is actually a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function. To use the vertical-line test, imagine dragging a ruler held vertically across the graph from left to right. If the graph is that of a function, the edge of the ruler would hit the graph only once for every x -value. If you do this for the given graph, every vertical line intersects the graph in at most one point.
Attached is the graph of the given function, where I performed the Vertical Line Test. As evidenced in the graph, every green vertical line intersects the graph at exactly one point (red dots on the graph). Thus, the graph passed the Vertical Line Test, thereby qualifying as a function.
Please mark my answers as the Brainliest if you find this explanation helpful :)
For the points (3.1, -13.4) and (0.1, -9.4), (a) Find the exact distance between the points. (b) Find the midpoint of the line segment whose endpoints are the given points. Darts
i can't type because im slow
SOMEONE PLEASE HELP ME I HAVE EXACTLY 5 MINUTES LEFT
Answer:
I would estimate 923
Step-by-step explanation:
HELP WILL GIVE BRANLIEST!
Answer:
I'm pretty positive it's All real answers?
Use the given property to complete the statement.
Distributive Property
3(x-1)= 3x - ?
A) -1
B) -3
C) 1
D) 3
Answer:
It is D
Step-by-step explanation:
Given the functions: f(x)=4x^2-2x+5 and g(x)=x^2+7x=8
1. Find f(x)+g(x)
2. Find g(x)-f(x)
3. Find 5f(x)+g(x)
4. Find g(x)-4f(x)
5. Find f(-2)-g(3)
6. Find g(-2)-f(3)
Answer:
1. f(x)+g(x)=3x−7+x2+5x
2. 5x+x2-7+3x
Step-by-step explanation:
Aloysius was 3 times as old as his son 8 years ago. How old is his son now if
their total age is 68 years now?
9514 1404 393
Answer:
21
Step-by-step explanation:
8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.
Now, 8 years later, the son's age is 13 +8 = 21.
__
Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.
Given that sin 2x = cos(2x - 30). Find the value of tan x.
Answer:
x=30o+n90on∈Z
Step-by-step explanation:
cos2x=sin(90o−2x)=sin(2x−30o)
Which mean 90o−2x=2x−30o+n360o
or 90o−2x+2x−30o=(2n+1)180o
The later cannot be true.
so x=30o+n90on∈Z
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
The value of tan x is :
[tex]\boxed{ \boxed{ \frac{1}{ \sqrt{3} } }}[/tex]solution is in attachment !
solve pls brainliest
The sum of 15 and twice Carlos' age.
The sum would be addition. So;
[tex]15\: +[/tex]
Twice means 2 times Carlos' age. And [tex]c[/tex] is the variable, so;
[tex]15+2c[/tex]
Note that 2 and c together like that is multiplication.
If a=4,b=5 and c=6,find 2c-a-b
Which is the equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5)?
(x – 6)^2 + (y – 5)^2 = 100
(x – 3)^2 + (y – 1)^2 = 25
x^2 + (y + 3)^2 = 100
(x – 5)^2 + y^2 = 25
The equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5) is;
(x – 3)² + (y – 1)² = 25The midpoint of the diameter of a circle is it's center.
As such; the coordinates of its center are;
x = (0 + 6)x = 3y = (-3 + 5)/2y = 1The coordinates of the center are then; (3, 1)
The radius of a circle is half the length of the diameter;
Radius, r = d/2where; d = √(6-0)² + (5-(-3))²d = √36 + 64d = √100d = 10Therefore, radius, r = 10/2 = 5.
Therefore, the equation of the circle usually takes the form;
(x -f)² + (x -g)² = r²In this scenario; the equation is;
(x – 3)² + (y – 1)² = 25.Read more;;
https://brainly.com/question/16646649
(-5) X ? =-15 find the missing number
Answer:
3
Step-by-step explanation:
(-5) × ? = (-15)
? = (-15)/(-5)
? = 3
3
Step-by-step explanation:(-5) × ? = -15
? = -15 ÷ (-5)
? = 15 ÷ 5
? = (3 × 3 × 3) <= 3 Factor
? = 3
Conclusion:Value of ? is 3.
[tex] [/tex]
4. Suppose bank customers arrive randomly on weekday afternoons at an average of 32
customers every 4 minutes. What is the probability of exactly 5 customers arriving in a 4 minute interval on a weekday afternoon?
Answer:
3/7
Step-by-step explanation:
hope this helps :)
Someone please hurry and help with number 2a and 2b!!!! Will give brainliest
Answer:
2a. It will be 6 inches tall
2b. B
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answer:
- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Step-by-step explanation:
Solve for k
10/3 = k/9
K =
Answer:
[tex]K=30[/tex]
Step-by-step explanation:
[tex]rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3} [/tex]
[tex] \frac{k}{9} = \frac{10}{3} [/tex]
[tex]multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.[/tex]
[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]
[tex]simplify \: both \: sides \: of \: the \: equation.[/tex]
[tex]cancel \: the \: common \: factor \: of \: 9.[/tex]
[tex]cancel \: the \: common \: factor.[/tex]
[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]
[tex]rewrite \: the \: expression.[/tex]
[tex]k = 9. \frac{10}{3} [/tex]
[tex]cancel \: the \: common \: factor \: of \: 3.[/tex]
[tex]factor \: 3 \: out \: of \: 9.[/tex]
[tex]k=3(3)⋅ \frac{10}{3} [/tex]
[tex]cancel \: the \: common \: factor.[/tex]
[tex]k=3⋅3⋅ \frac{10}{3} [/tex]
[tex]rewrite \: the \: expression.[/tex]
[tex]k=3⋅10[/tex]
[tex]multiply \: 3 \: by \: 10.[/tex]
[tex]k = 30[/tex]
The ratio of boys to girls in school is
11:10. If there are 525 students in the
School, How many boys?
To host an event at a popular convention center, it costs $300 plus $45 per person attending.
Step 2 of 3 : How much would you need to charge each attendee in order to cover the cost of hosting the event if 30 people were attending?
Answer:
(300 + 45x) /x
Step-by-step explanation:
Total cost will be the addition of the fixed cost and the variable cost which will be:
= 300 + (45 × x)
= 300 + 45x
Amount that needs to be charge for each attendee in order to cover the cost of hosting the event will be:
= (300 + 45x) / x
Graph the line with y-intercept 1 and slope 3.
find the sum of 29 and the product of 2 and 9 and the difference between 2and9
Answer:
sorry bro im just getting points
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
The domain is the set of x-values:
{-4, -2, 1, 2, 4}The range is the set of y-values:
{-4, -2, -1, 1, 4}This can be a function as each x- value has exactly one corresponding y- value.
Points are
(-4,-1)(-2,1)(1,-2)(4,-4)(2,4)All x values has a unique image in y so it's a function
[tex]\\ \sf\longmapsto D_f=\{-4,-2,1,4,2\}[/tex]
[tex]\\ \sf\longmapsto R_f=\{-1,1,-2,-4,4\}[/tex]
Espanol
v
Suppose that the annual rate of return for a common biotechnology stock is normally
distributed with a mean of 5% and a standard deviation of 5%. Find the
probability that the one-year return of this stock will be positive. Round your answer to at least four decimal places.
х
5
?
Step-by-step explanation:
state that the state that the atmosphere around the earth is different from those Around The Other plants of the geography class 9th in short The warmer and less dense air near the ground rises during the day pulling more air through the valley floor. This gentle upslope wind known as a valley breeze. ... The cooler and denser air at higher elevations flows back down the slopes of the mountain and into the valley. This is called a mountain breeze.29-May-2017

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Mountain and Valley Breezes - WeatherNation
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A mountain breeze and a valley breeze are two related, localized winds that occur one after the other on a daily cycle. They are not the same as anabatic and katabatic winds, which are larger and stronger. These winds are opposite from each other. Wikipedia
The probability that the one-year return of this stock will be positive is 0.8849.
What is Normal Distribution?A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.
The random variables whose values can locate any unknown value within a defined range are those that follow the normal distribution. for instance, determining the school's student population's height.
Given:
A data is normally distributed with a mean of 5%.
and a standard deviation of 5% .
So, z- score
z(0) = (0-5)/5
z(0) = -1
and, the probability that the one-year return of this stock will be positive
P(x> 0)
= P(z > -1)
= normalcdf(-1.125,100)
= 0.8849
Learn more about Normal Distribution here:
https://brainly.com/question/15103234
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One of the legs of a right triangle measures 12 cm and the other leg measures 9 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
cm
Submit Answer
attempt 1 out of 2
שת
Answer:
15
Step-by-step explanation:
Ok, first the formula for this is a^2+b^2=c^2
or leg^2+ leg^2= hypotenuse^2
so (12)^2+(9)^2=hy^2
144+81, 225=hy^2
hy=square root of 225: 15
:)fftcyctcyycycgccyvyctycgccy
Answer:
:)fftcyctcyycycgccyvyctycgccy
Step-by-step explanation:
How does decreasing only the mass change an objects density
?
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The price of 1kg of potato is ₹ 8 1/2
What will be the price of 2 1/4
kg of potato.
Answer:
₹ 19 1/8.
Step-by-step explanation:
That is 8 1/2 * 2 1/4
= 17/2 * 9/4
= 153/8
= 19 1/8.
Answer:
₹ 19.125 or ₹ 19 1/8
Step-by-step explanation:
1 kg = ₹ 8 1/2
2 1/4 kg = x
8 1/2 can be written as 8.25
2 1/4 can be written as 2.25
To find x:
1. Multiply both sides by 2.25:
1kg × 2.25 = 2.25kg
₹ 8.5 × 2.25 = ₹ 19.125
Answer = ₹ 19.125 or ₹ 19 1/8