Hello, hope you had a good day, I need help on this pls (:
Answer:
The decimal point should be moved 4 places to the right
Step-by-step explanation:
38.75x10000= 387500
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
A submarine starts its descent at -15 meters.
It dives to -182 meters. How far did the
submarine descend?
Since it started at -15 and went to -182 i subtracting to see how far it descended I ended up with 162, however I'm not sure if subtraction was the write operation in this problem, please correct me : )
Answer:
so we're dealing with negative numbers here so after learning negative numbers you have to add negative15 to -182 Wich is negative 197
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:
SOMEONE PLEASE HELP ME I HAVE EXACTLY 5 MINUTES LEFT
Answer:
I would estimate 923
Step-by-step explanation:
Use substitution to solve each system of equations.
y = 5x -2
3 x- 5y =4
Step-by-step explanation:
y = 5x - 2…Equation 1
3x - 5y = 4…Equation 2
Subtitute value of y to Equation 2 :
3x - 5(5x - 2) = 4
3x - 25x + 10 = 4
-22x + 10 = 4
10 - 4 = 22x
6 = 22x
6/22 = x
3/11 = x
Subtitute value of x to one of Equation :
for example Equation 2…
3x - 5y = 4
3(3/11) - 5y = 4
9/11 - 5y = 4
9/11 - 4 = 5y
(9 - 44)/11 = 5y
(-35)/11 = 5y
(-35)/11 × 1/5 = y
-7/11 = y
Consider a hypothetical consumer named Hayden who is shopping for bread and brie. The graph with bread and brie on the axes presents the utility‑maximizing combinations of bread and brie that Hayden chooses when the price of bread is $1.00 per loaf and the price of brie is $4.00 and $6.00 per wheel, respectively. The other graph shows Hayden's demand curve for brie.
The two points and associated values in the graph for bread and brie combinations correspond to points A and B in the graph of the demand curve for brie. What are the specific prices and quantities of brie associated with points A and B on Hayden's demand curve?
The graphical relationship of the demand and price of brie are given in the two graphs
At point A, the price is $4.00 and the quantity demanded is 23.84At point A, the price is $6.00 and the quantity demanded is 7.49Reason:
The given parameters are;
The graphs gives the utility-maximizing combinations of bread and brie chosen by Hayden
The price of the loaf = $1.00
The prices of the brie are $4.00 and $6.00 per wheel
Given that as the price increases from $4.00 to $6.00, the quantity
demanded increases, we have;
When the price is $4.00, the quantity of brie demanded 23.84 brie wheels,
and the quantity of bread demanded is 15.9 bread loaves
When the price increases to $6.00, the quantity of brie demanded
decreases to 7.49 brie wheels, while the quantity of bread demanded
increases to 25.2 loaves
Therefore; we have;
At point A, the price is $4.00 and the quantity demanded is 23.84
At point B, the price is $6.00 and the quantity demanded is 7.49
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Need helppppppppppppppp
Answer:22% or A!
Step-by-step explanation: 400 x 9 = 3600 he has ran 792 so far so its about 22.%
y = 2x + 4
y = 2x + 4
y = -1/4x + 2
y = -1/4x + 2
y = -1/4x + 2
yeah
that's it
Answer:
1. 2x + 4= slope: 2 | y intercept: (0,4)
2. 2x + 4= slope: 2 | y intercept: (0,4)
3. -1/4x + 2= slope: -1/4 | y intercept: (0,2)
4. -1/4x + 2= slope: -1/4 | y intercept: (0,2)
Lim x-> vô cùng ((căn bậc ba 3 (3x^3+3x^2+x-1)) -(căn bậc 3 (3x^3-x^2+1)))
I believe the given limit is
[tex]\displaystyle \lim_{x\to\infty} \bigg(\sqrt[3]{3x^3+3x^2+x-1} - \sqrt[3]{3x^3-x^2+1}\bigg)[/tex]
Let
[tex]a = 3x^3+3x^2+x-1 \text{ and }b = 3x^3-x^2+1[/tex]
Now rewrite the expression as a difference of cubes:
[tex]a^{1/3}-b^{1/3} = \dfrac{\left(a^{1/3}-b^{1/3}\right)\left(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}\right)}{\left(a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}\right)} \\\\ = \dfrac{a-b}{a^{2/3}+a^{1/3}b^{1/3}+b^{2/3}}[/tex]
Then
[tex]a-b = (3x^3+3x^2+x-1) - (3x^3-x^2+1) \\\\ = 4x^2+x-2[/tex]
The limit is then equivalent to
[tex]\displaystyle \lim_{x\to\infty} \frac{4x^2+x-2}{a^{2/3}+(ab)^{1/3}+b^{2/3}}[/tex]
From each remaining cube root expression, remove the cubic terms:
[tex]a^{2/3} = \left(3x^3+3x^2+x-1\right)^{2/3} \\\\ = \left(x^3\right)^{2/3} \left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} \\\\ = x^2 \left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3}[/tex]
[tex](ab)^{1/3} = \left((3x^3+3x^2+x-1)(3x^3-x^2+1)\right)^{1/3} \\\\ = \left(\left(x^3\right)^{1/3}\right)^2 \left(\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1x\right)\left(3-\dfrac1x+\dfrac1{x^3}\right)\right)^{1/3} \\\\ = x^2 \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3}[/tex]
[tex]b^{2/3} = \left(3x^3-x^2+1\right)^{2/3} \\\\ = \left(x^3\right)^{2/3} \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3} \\\\ = x^2 \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}[/tex]
Now that we see each term in the denominator has a factor of x ², we can eliminate it :
[tex]\displaystyle \lim_{x\to\infty} \frac{4x^2+x-2}{a^{2/3}+(ab)^{1/3}+b^{2/3}} \\\\ = \lim_{x\to\infty} \frac{4x^2+x-2}{x^2 \left(\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} + \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3} + \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}\right)}[/tex]
[tex]=\displaystyle \lim_{x\to\infty} \frac{4+\dfrac1x-\dfrac2{x^2}}{\left(3+\dfrac3x+\dfrac1{x^2}-\dfrac1{x^3}\right)^{2/3} + \left(9+\dfrac6x-\dfrac1{x^3}+\dfrac4{x^4}+\dfrac1{x^5}-\dfrac1{x^6}\right)^{1/3} + \left(3-\dfrac1x+\dfrac1{x^3}\right)^{2/3}}[/tex]
As x goes to infinity, each of the 1/x ⁿ terms converge to 0, leaving us with the overall limit,
[tex]\displaystyle \frac{4+0-0}{(3+0+0-0)^{2/3} + (9+0-0+0+0-0)^{1/3} + (3-0+0)^{2/3}} \\\\ = \frac{4}{3^{2/3}+(3^2)^{1/3}+3^{2/3}} \\\\ = \frac{4}{3\cdot 3^{2/3}} = \boxed{\frac{4}{3^{5/3}}}[/tex]
tan(-50)=
a. -tan50
b. tan40
c. tan50
- tan(50) → Choice A
Step-by-step explanation:
tan(-α) = - tan(α)
tan(-50) = - tan(50)
Further more :
tan (-50) = - tan (50) ≈ 0,27
How to solve 3,14 x 0,8 =
Answer:
Q1. 3.14 × 0.8 = 2.512
Q2. 6.28 × 6.8 = 42.704
Q3. 25.5 × 9.3 = 237.15
Q4. 1.3 × 5.7 = 7.41
Q5. 7.41 × 3.7 = 27.417
I need Help Please??????
Answer:
54
Step-by-step explanation:
the ladder need to be 54 feet high
Cecelia is paid $120 for 6 hours of work. At this rate, how much money will she make if she works for 2.5 hours? Show your work or explain your reasoning.
I REALLY NEED IT ITS FOR A SUMMITIVE
Sophie invested $170 in an account paying an interest rate of 2\tfrac{3}{4}2 4 3 % compounded continuously. Wyatt invested $170 in an account paying an interest rate of 3\tfrac{1}{8}3 8 1 % compounded monthly. After 9 years, how much more money would Wyatt have in his account than Sophie, to the nearest dollar?
Answer:
$7
Step-by-step explanation:
Wyatt will have $7 more in his account than Sophie.
What is compound interest?Compound interest is the interest you earn on interest.
Given that, Sophie invested $170 in an account paying an interest rate of [tex]2\tfrac{3}{4}[/tex]% compounded continuously.
Wyatt invested $170 in an account paying an interest rate of [tex]3\tfrac{1}{8}[/tex]% compounded monthly.
We need to find how much more money would Wyatt have in his account than Sophie after 9 years,
For compounded continuously = [tex]Amount = Principal \times e^{rt[/tex]
Sophie =
[tex]Amount = 170 \times e^{0.0275 \times 9[/tex]
A = $217.74
Therefore, Sophie will have $217.74 in her account after 9 years.
For Wyatt,
So, using the formula of CI,
[tex]Amount = Principal(1+r/n)^{nt[/tex]
So,
[tex]= 170(1.0026)^{108[/tex]
A = $225
Therefore, Wyatt will have $225 in his account after 9 years.
The amount Wyatt have more than Sophie = 225-217.74 = $7.26 ≈ $7.
Hence Wyatt will have $7 more in his account than Sophie.
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You buy cauliflower at $18 per pound. One portion of cauliflower requires 6 ounces of cauliflower. How much does the cauliflower for one portion cost?
The cauliflower for one portion cost $6.75.
The first step is to convert pounds to ounces. The unit of conversion of pounds to ounces is 1 pound is equivalent to 16 ounces.
1 pound = 16 ounces
Therefore, 16 ounces of cauliflower costs $18.
The cost of one ounce = 18 / 16 = $1.125
The cost of one portion of cauliflower is:
Cost of one ounce x number of ounces in one portion
$1.125 x $6 = $6.75
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I really need help plzzzzz
Answer:
-28
Step-by-step explanation:
Answer:
the answer is -28
Step-by-step explanation:
-8 x 7 / 1 x 2
= 56 / 2
A football team gained 9 yards on one play and then lost 22 yards on the
next. Write a sum of integers to find the overall change in field position
Answer:
9-22=c
-13=c
The football team lost 13 yards in overall change in field position. Meaning, the team didn't gain any yards, they lost 13.
PLS HELP THIS IS DUE TMRW AND I DON’T UNDERSTAND IT!!
Answer:
Step-by-step explanation:
Just make an example
In the figure below lines m and n are parallel. in the diagram shown, Angle 7 measures 92 degrees. What is the measure of Angle 8?
A. 8 degrees
B. 88 degrees
C. 92 degrees
D. 180 degrees
Answer:
b
Step-by-step explanation:
The sum of angles 7 and 8 is 180, so to find angle 8 you would subtract angle 7 from 180. So:
180 - 92 = 88
The answer is B, 88 degrees.
Answer:
88° is your answer......
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]
Find the measures of the labeled angles.
Answer:
x + 93 = 124
Step-by-step explanation:
4x = x + 93 {Vertically opposite angles are equal}
Subtract 'x' from both sides
4x - x = 93
3x = 93
Divide both sides by 3
x = 93/3
x = 31
x + 93 = 31+ 93 = 124
Simplify 6 - (-2) - 3(-5).
6- (-2) - 3(-5)
= 6- (-2) +15
= 6+ 2 +15
= 8+ 15
=23.
Thus, your answer is 23
Answer:
look at the photo..............
What's the simplified expression of –2a^–3 b^0?
9514 1404 393
Answer:
-2/a^3
Step-by-step explanation:
Anything (except 0) to the 0 power is 1, so b^0 = 1. This immediately simplifies the expression to -2a^-3. If you also want it with positive exponents, this will be ...
-2/a^3
Shaundra bought a pipe that was 4 m long. She cut it into equal size pieces. 1 point
Each piece was 2/5 m long. How many pieces were there?
6
10
12
O 100
2 points
There were 400 people at a music festival. 2/5 of them were adults and
how do you determine where to place the decimal point in the product
Answer:
Bro it is simple,see when the 2 numbers are multiplying in 1st number decimal is before 2 digits and in 2nd number decimal is before 1 digit and in product decimal is before 3 digits so to place the decimal you need to + the digits afer decimal of numbers eg. in 0.43 there are 2 digits afer decimal and in 0.2 there is 1 digit after decimal and in answer there are 3 digits after decimal
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer: SEE BELOW
Step-by-step explanation:
Decimals are multiplied as if they were whole numbers, and then the decimal point is placed in the product. To find out where the decimal point should be placed, count the number of decimal places after the decimal point in each factor.
0.43......... 2 decimal place(s) Add your decimal places = 3
0.2......... 1 decimal place(s)
0.086 Place decimal 3 decimal places in answer like so.
hope this helps you! Smile ; )
The cost of a cantaloupe at the supermarket is represented by the equation c = 1.19p. What does the equation mean? If the cantaloupe weighs 3.5 pounds, what will be the price of the cantaloupe?
Let's say c is the cost of the cantaloupe, and that p is how many pounds the cantaloupe weights.
In that case, $1.19 is the amount of money it will cost per pound of cantaloupe.
If the cantaloupe you buy is 3.5 pounds, it will cost you $4.165, but since money is only two decimal places, and since you can only round up when it's a 5 at the end, it becomes $4.17.
In other words, each pound of cantaluope you buy will cost you $1.19, and a cantaloupe that weighs 3.5 pounds will cost you $4.17.
Which decimal number is equal to 49? 0.4 0.44 0.444 0.4⎯⎯
Answer:
0.4⎯⎯
Step-by-step explanation:
BRAINLIEST?
9288*300/136=20 488 ,2353
кАК ЗАПИСАТЬ???
Answer:
Step-by-step explanation:
???what
Solve and give answer
Answer:
X=6 Because if you multiply 16×3= 48
and If you do it with 2 it is 2×3= 6
Step-by-step explanation:
16×3= 48
2×3=6