Answer:
a) 0.4481
b) 0.1298
c) 0.6722
Step-by-step explanation:
English Translation
It is known that 20% of all people given a certain medicine feel very bad in 2 minutes; Find the probability that among 14 people who are given this medicine:
a) At most 2 feel very bad in two minutes
b) At least 5 feel very bad in two minutes
c) From 2 to 4 they feel very bad in two minutes
Solution
This is a binomial distribution problem
A binomial experiment is one in which the probability of success doesn't change with every run or number of trials.
It usually consists of a number of runs/trials with only two possible outcomes, a success or a failure.
The outcome of each trial/run of a binomial experiment is independent of one another.
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = 14
x = Number of successes required
p = probability of success = probability of feeling bad after taking the medicine = 20% = 0.20
q = probability of failure = probability of NOT feeling bad after taking the medicine = 1 - 0.20 = 0.80
a) At most 2 feel very bad in two minutes
P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)
= 0.04398046511 + 0.15393162789 + 0.25013889532 = 0.44805098832 = 0.4481
b) At least 5 feel very bad in two minutes
P(X ≥ 5) = 1 - P(X < 5) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4)]
= 1 - [0.04398046511 + 0.15393162789 + 0.25013889532 + 0.25013889532 + 0.17197049053] = 0.12983962583 = 0.1298
c) From 2 to 4 they feel very bad in two minutes
P(2 ≤ X ≤ 4) = P(X=2) + P(X=3) + P(X=4)
= 0.25013889532 + 0.25013889532 + 0.17197049053 = 0.6722482811 = 0.6722
Hope this Helps!!!
Graph the equation to solve the system y=x-5 y=x+6
Answer:
the equations have no solutions
(i.e the graphs are parallel and does not intersect each other)
Step-by-step explanation:
if we graph the 2 equations, we can see that they are parallel and do not intersect, hence there is no solution to the given system of equations.
How do I solve this?
Answer:
Try using estimation.
Make sure you don't start with the y-axis first.
I don't think they really want an exact answer though. You could try using a ruler if there's one on your phone but I still think estimation is okay.
Step-by-step explanation:
Look how close the point is to 1 on the x-axis and how close it is to 2 on the x-axis then chose what you think fits.
Anyone good at exterior angles of triangles ? I WILL MARK THE BRAINLIEST ANSWER
Answer:
Answer B and F are correct.
Step-by-step explanation:
[tex] angle \: 3 \: \: and \: \: \: angle \: \\ \: \: 4 \: \: \: \: are \: \: \: the \: \: exterior \\ angles \: \: \: \: in \: this \: \: traingle[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
if 24 students took a test and 18 passed how much percent passed?
Answer:
75%
Step-by-step explanation:
6 x 4 = 24 so we make 24 into a fraction 24/24, then we make 18 a fraction as well, 18/24, then we simplify 18/24 = 3/4 = 75%
Answer:
%75
Step-by-step explanation:
this question is solved by establishing the correct proportion
24 - 18
100 - ?
(100*18)/24 = 75
The graph of an absolute value function y=a|x| includes the points (1,6) and (-1,6)
Answer: y=6|x|
Step-by-step explanation:
I attached the graph too!
2+2 i was wondering what the answer to this is
Answer:
2 + 2 = 4
Step-by-step explanation:
The question you asked is a simple arithmetic ( addition precisely). Addition is the sum of two or more numbers.
2 + 2 = 4
Depending on your level, you can use counting method ( or the tally system) to get the answer.
2 + 2 = 4
II + II = IV
I hope this helps you!
plz work out how you got the answer Jenny goes to dance class every 6 days, karate class every 12 days, and to the library every 18 days. On December 1st she went to both classes and the library. In how many days will she do both classes and go to the library? *
Answer:
36
Step-by-step explanation:
if im wrong im sorry u add all of them up
find the value of "y" log(4y+1)=log(y-7)-2log2
Answer:
y = -8/15
Step-by-step explanation:
log (4y + 1) = log (y - 7) - 2log2
log (4y + 1) = log (y - 7) - log2² (power law)
log (4y + 1) = log [(y - 7)/4]
4y + 1 = (y - 7)/4 (remove log)
4(4y + 1) = y - 7
16y - y = -8
15y = -8
y = -8/15
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
Answer:
Step-by-step explanation:
How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a 40% solution of acid? Answer: quarts
let x = amount of the 50% solution
A typical mixture equation using the decimal equivalent to
0.50x +0 .20(20) =0 .40(x+20)
0.50x + 4 = 0.40x + 8
0.50x - 0.40x = 8 - 4
0.10x = 4
x = 4/0.1
x = 40 qts of 50% solution
Hence 40 quarts of 50% solution must be added.Answer:
40 quarts I checked in RSM portal
Someone please help ASAP. I would really really appreciate it if u can. I will mark brainliest
Answer:
[tex]y = -\frac{1}{4} x + 2[/tex]
Step-by-step explanation:
PLS ANSWER PLS MARK AS U KNOW WHAT
Answer:
2/4 +6/8 =5/4
Step-by-step explanation:
What is the following product?
Sqrt 30 • sqrt 10
2 sqrt 10
3 sqrt 10 4 Sqrt 10
10 sqrt 3
Answer:
10 sqrt 3.
Step-by-step explanation:
sqrt30 = sqrt10 * sqrt 3
so sqrt30 * sqrt10
= sqrt10 * sqrt10 * sqrt3
= 10 sqrt 3.
Answer:d
Step-by-step explanation:
Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
6 seconds
Step-by-step explanation:
- ( 6 - 2)^2 + 16
- (4)^2 + 16
- 16 + 16
= 0
The ball is hits the ground or is at 0 height when x = 6.
Noah visits different states every summer. This summer, he started with 2 states already visited and visits 6 states per day. Write an equation to model this situation (use d for days and s for states)
s = number of states visited
d = number of days
6d = number of states visited after d days pass by, excluding the first 2 visited
6d+2 = total number of states visited, including the 2 originally visited
Answer: s = 6d+2a. The graph of g(x) is the graph of f(x) stretched vertically. c. The graph of g(x) is the graph of f(x) shrunk vertically. b. The graph of g(x) is the graph of f(x) shifted down 3. d. The graph of g(x) is the graph of f(x) shifted up 3. Please select the best answer from the choices provided
Answer:
There is no picture?
Step-by-step explanation:
Answer:
a. The graph of g(x) is the graph of f(x) stretched vertically.
Step-by-step explanation:
I just took test and got it correct 100%
Given the statement:
Little sisters are annoying.
If you are a little sister, then you are annoying. This is the_
converse
original statement
contrapositive
inverse
Hypothesis
conclusion
Answer:
conclusion
Step-by-step explanation:
We are given a single statement:
"Little sisters are annoying."
A hypothesis regarding that statement is then proposed:
You are a little sister.
The only two possible interpretations from the information given are that you either are annoying or not. Since little sisters are annoying, if you are a little sister, the only possible logical conclusion is that you are annoying.
The answer is conclusion.
It would be conclusion
“Little sisters is annoying”
John shifted the decimal point of a number twice to the left to obtain a new number. The difference between the new number and the original number was 136.62. What is the sum of the 2 numbers?
Step-by-step explanation:
From a, the original number is 100x the new number.
So,if the new number is 1unit --> the original is 100x 1unit --> 100units
Add the two numbers together --> 1unit + 100units --> 101 units
We also know that the difference between the two numbers is 136.62
So 100units - 1unit --> 136.62
99units -> 136.62
1unit --> 1.38
101units --> 139.38
You had a goal to collect 50 cans for a food drive. You were able to collect 83 cans. What percent of your goal did you collect?
Answer:
you have 33 cans and so you have completed 166% of your goal
Step-by-step explanation:
I dont know
166 percent of the goal person as collected the cans.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
A percentage is a number or ratio that can be expressed as a fraction of 100.
Given that, a goal to collect 50 cans for a food drive.
Person as collected 83 cans.
Here, x% of 50 =83
x/100 ×50 =83 (word "of" means multiplication)
x/2 =83
x=166 (Transpose 2 to RHS of the equation)
So, x=166%
Therefore, 166% of the goal person as collected the cans.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
Given g(x)=-5x-4, solve for x when g (x)=1
Answer:
1 = -5x-4 add 4 to both sides
-5x = 1+4 divide both sides by (-5)
x = -5/5
x= -1
Factor. m² + 10m + 25
(m + 5)(m - 5)
(m + 5)²
(m - 5)²
(m + 25)²
Answer:
[tex]\left(m+5\right)^2[/tex]
Step-by-step explanation:
[tex]m^2+10m+25\\\mathrm{Rewrite\:}m^2+10m+25\mathrm{\:as\:}m^2+2m\cdot \:5+5^2\\m^2+10m+25\\\mathrm{Rewrite\:}25\mathrm{\:as\:}5^2\\=m^2+10m+5^2\\\mathrm{Rewrite\:}10m\mathrm{\:as\:}2m\cdot \:5\\=m^2+2m\cdot \:5+5^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=m,\:b=5\\\left(m+5\right)^2\\[/tex]
Simplify the expression 4x3× 2x3
Answer:
8 x^6
Step-by-step explanation:
4x^3× 2x^3
Multiply the numbers
4*2 = 8
Then the variables
x^3 * x^3 = x^(3+3) = x^6
8 x^6
Answer:
[tex]8x^{6}[/tex] (I am assuming you meant [tex]4x^3*2x^3[/tex]
Step-by-step explanation:
First you multiply the coefficients 4 and 2 which equals 8
Then you multiply the x's and when you multiply variables that are raised to powers you add the powers
so [tex]x^3*x^3 = x^(3+3)[/tex]
Putting this together you get [tex]8x^{6}[/tex]
Solve each equation for x 3х- 12у= 27
5. Find the volume:
6.8 m
9.2 m
6.2 m
Answer:
387.872
Step-by-step explanation:
to find volume you have to multiply the length times width times height so that's what I did to get the answer.
If the 6th terre
an Alis 11 and the first term is 1
find the common difference
Answer:
6th term = 11
1st term = 1
d = 11 - 1/5 = 2
The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction?
Answer:
£14,168
Step-by-step explanation:
I need help with questions 3 and 5, i've been struggling for ages but i'm baffled! Someone help please. :)
Answer:
3. 2x + y = 21.
Step-by-step explanation:
3. The diagonals of a rhombus are perpendicular and bisect each other.
So the slope of line AC = -1/m
= -1 / 1/2 = -2.
AC has coordinates (5, 11) so using the point-slope form of a line:
y - 11 = -2(x - 5)
y = -2x + 10 + 11
2x + y = 21.
5. Line L:
x + 2y = 12
2y = -x + 12
y = -1/2x + 6
The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.
the sides of a triangle are in the ratio, 4:5:7 and its perimeter is 64cm. find its area , correct to 2 decimal places
Answer:
Step-by-step explanation:
First find all the sides of the triangle:
Total parts: 4+5+7 = 16
cm per part = 64/16 = 32/8 =4cm
therefore, all measures: 16cm, 20cm, 28cm.
Answer:
since you have not specified the height, I will use any no.
= 0.16
Step-by-step explanation:
perimeter is the distance round
add the ratios; 4+7+5=16
Ratio 16= Perimeter 64cm
R.16=64cm, find all the ratios
start with ratio 4
R.16=64cm
R.4×64cm÷16=16 cm
R.5×64÷16= 20 cm
R.7×64÷16=28 cm
A=1/2× b×h
1/2×16×20= A= 160cm2
2 dp, divide
0.16
Given OR, how is it known that QS=YT?
Answer:
Either A or B, or both. They are both true
Step-by-step explanation:
The diameter of a circle is and only can be one value. As long as you start from the center of the circle and go in a straight line. All radii lengths are congruent is also true. Im unsure if you can choose more than one answer
26x=74 which describe how to solve the equation below
Answer:
x = 37/13
Step-by-step explanation:
26x=74
x=74/26
x=37/13
Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago? Which of the following represents the given word problem if "P" represents the population ten years ago? 2(P + 10) = 12,000 2P = 12,000 P = 2(12,000)
Answer:
2p=12,000
Step-by-step explanation: