Answer:
0.986
Step-by-step explanation:
Probability of at least one being vac = 1 - Probability of all 5 not vac
1 - (1-0.57)^5 = 1 - (0.43^5) = 1 - 0.014 = 0.986
The probability that at least one of the five randomly chosen individuals had received a vaccination is around 0.956, or 95.6%.
Given that in a population, 57% people were vaccinated.
5 people are randomly selected, we need to find the probability that at least one of them has been vaccinated.
To calculate the probability that at least one of the five randomly selected people has been vaccinated, we can use the complementary probability approach.
The probability that none of the five people have been vaccinated is equal to the complement of the probability that at least one of them has been vaccinated.
So, let's calculate the probability of none of them being vaccinated and subtract it from 1 to find the desired probability.
The probability that a randomly selected person has not been vaccinated is 1 - 0.57 = 0.43 or 43%.
Since the selection of each person is independent, the probability that all five of them have not been vaccinated is:
P(Not Vaccinated) = 0.43⁵ = 0.043855
The probability that at least one of them has been vaccinated is the complement of the above probability:
P(at least one vaccinated) = 1 - P(not vaccinated)
= 1 - 0.043855 = 0.956145
Therefore, the probability that at least one of the five randomly selected people has been vaccinated is approximately 0.956 or 95.6%.
Learn more about probability click;
https://brainly.com/question/31828911
#SPJ4
jose is working two summer jobs making $10 per hour washing cars and $9 per hour walking dogs. Last week Jose worked a total of 13 hours and earned a total of $122. Write a system of equations that could be used to determine the number of hours jose worked washing cars last week and the number of hours he worked walking dogs last week. define the variables that you use to write the system
Answer:
164
Step-by-step explanation:
add everything together 10+9+13+122 = 164.
Which of the following is a proportion? 9/12 = 8/10 3/4 = 9/12 6/8 = 8/12 12/18 = 19/16
Answer:
3/4=9/12
Step-by-step explanation:
3x3= 9
4x3= 12
Find the Error .A student is finding -1/2 ÷ (-4/5). Do you agree with student's solving?
Answer option no or yes
if 5/8 is given in the question, then YES. If not, then NO
Situation
You are a financial advisor. Your clients include young couples who are looking for financial advice. During this pandemic, everyone is looking for the best option when saving their money. As a financial advisor, you help people determine the best options for their savings plan. Most banks offer saving plan options with compound interest.
The Jacksons
Eric and Amy Jackson wish to invest in a no-risk savings account. They currently have $55,000 in an account that has a 4.125% annual interest rate, compounded continuously. They have the following options:
a. keep their money in the account they already have
b. invest the money in an account that has 5% annual interest, compounded annually
c. invest the money in an account that has 4.5% annual interest, compounded quarterly
d. invest the money in an account that has 3.875% annual interest, compounded monthly
Write a function for each option, that represents the amount of money in the account after t years after the account is opened.
a. C(t) keep their money in the account they already have
b. A(t) invest the money in an account that has 5% annual interest, compounded annually
c. Q(t) invest the money in an account that has 4.5% annual interest, compounded quarterly
d. M(t) invest the money in an account that has 3.875% annual interest, compounded monthly
Answer:
egwegerhreherhsrhs
Step-by-step explanation:
thtrhrtsjsjhshjshhs
You are standing on the corner of 4th Street and 4th Avenue in a city with a rectangular street system similar to New York’s (but without the exceptions). You want to meet your friend at 10th Street and 10th Avenue by walking only east and north (that is, walking the minimum possible distance). However, the corner of 7th Street and 7th Avenue is blocked due to construction and you cannot get through. How many ways are there to walk to meet your friend?
Step-by-step explanation:
To get from point (4,4) to (10,10), it is the same as ordering 6 Upward and 6 Right arrows in a straight line.
=> 12C6 = 924.
However there is a restriction that we cannot have 3 Upward and 3 Right arrows as our first 6 arrows.
=> 6C3 * 6C3 = 20 * 20 = 400
Hence there are 924 - 400 = 524 different ways.
if i earn 5 dollars every 8 mins 20 sces how long until i get 2,700 will mark brainliest URGENT
Answer:
75 Hours
Step-by-step explanation:
First, you'd have to find out how many times 5 dollars can fit into 2700 dollars. You'd simply just divide 2700 by 5. You will get 540.
Next, multiply 8 minutes and 20 seconds by 540. We know that 20 seconds is a third of a minute, so we'll convert 8 minutes and 20 seconds to 8.33 (repeated) minutes.
8.33 (repeated) multiplied by 540 will give you 4500 minutes.
Next, just divide 4500 minutes by 60, and you'll get 75 hours.
find the value of x and y please help..
Answer:
this means this is a isosceles triangle so y is 44 and now -180
180-88
X=92
Solve ASAP. Giving 28 points.
Answer:
where is the question
Step-by-step explanation:
Answer:
what's the question I can't see it
Next in sequence 9/16, -9/8, 9/4, -9/2, 9, ?
Answer:
-18
Step-by-step explanation:
*2, *(-2), *2, *(-2) ...
Answer:
-18
Step-by-step explanation:
Which system of equations is graphed below?
A.) x-y=6
4x+3y=1
B.) x-y=6
3x+4y=4
C.) x+y=6
4x-3y=3
D.) x+y=6
3x-4y=4
Guy is self employed. In one year, Guy generates a gross income of $44,500. When calculating his taxes, Guy is allowed to deduct $2,500 in expenses from his gross income (the result is his 'operating income'). Guy must then pay 10% tax on all operating income up to $20,000 and then 20% on any operating income over $20,000. Calculate the amount of tax that Guy must pay. Give your answer in dollars to the nearest dollar. Do not include commas or the dollar symbol in your answer.
Answer:
20000÷20= the amount you need for the income price is 16000
Answer:
Step-by-step explanation:
Operating Income=$44,500−$2,500=$42,000.
So Guy will be taxed 10% on $20,000 and 20% on $(42,000−20,000)=$22,000, hence
Total Tax=10%×$20,000+20%×$(42,000−20,000)=$6,400.
Express the integral as a limit of Riemann sums. Do not evaluate the limit. (Use the right endpoints of each subinterval as your sample points.)
int 1 between 5 x/2+3^3*dx
Answer:
[tex]\mathbf{4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
Step-by-step explanation:
Given integral:
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx[/tex]
[tex]\mathbf{Using \ Riemann \ sums; \ we \ have: }[/tex]
[tex]\int ^b_a \ f(x) \ dx = \lim_{n \to \infty} \sum \limits ^n_{i =1} \ f( a + i \Delta x) \Delta x[/tex]
[tex]here; \ \Delta x = \dfrac{b-a}{n}[/tex]
∴
[tex]\int ^5_1 \dfrac{x}{2+x^3} \ dx = f(x) = \dfrac{x}{2+x^3}[/tex]
[tex]\implies \Delta x = \dfrac{5-1}{n} =\dfrac{4}{n}[/tex]
[tex]f(a + i \Delta x ) = f ( 1 + \dfrac{4i}{n})[/tex]
[tex]f( 1 + \dfrac{4i}{n}) = \dfrac{n^2 ( n+4i)}{2n^3 + (n + 4i)^3}[/tex]
[tex]\lim_{n \to \infty} \sum \limits ^n_{i=1} \ f(a + i \Delta x) \Delta x = \lim_{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n^2(n+4i)}{2n^3 +(n+4i)^3} \Big )\dfrac{4}{n}[/tex]
[tex]\mathbf{= 4 \lim \limits _{n \to \infty} \sum \limits ^n_{i=1} \Big ( \dfrac{n(n+4i)}{2n^3 +(n+4i)^3} \Big )}[/tex]
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
I will give brainiest to whoever answers correctly !!
Answer:
The number of units decreased by [tex]8.7\%[/tex].
Step-by-step explanation:
Initially, 470 units were sold. The following 429 units were sold, meaning this was [tex]470-429=41[/tex] less units than last year. Thus, the number of units sold decreased and the percent of decrease is:
[tex]\frac{41}{470}\approx 8.7\%[/tex]
4/5(x+1) write the expression in standard form
Solve for s.
9 − 2s − 10s = –10s − 7
Show work
Answer:
s=8
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help! I’ll give BRAINLIEST and show ur work please
Answer:
M<E=T M<T=E
Step-by-step explanation:
As you can see in the trapezoid the show you only one two sides that are equals so that's mean that the angles are congruent each other.
Answer:
[tex]m\angle E=118^{\circ},\: m\angle T=118^{\circ}[/tex]
Step-by-step explanation:
As the diagram is marked, [tex]WE=WT[/tex] and [tex]SE=ST[/tex]. Therefore, [tex]m\angle E=m\angle T[/tex]. Since the interior angles of all quadrilaterals add up to be [tex]360^{\circ}[/tex], we can write the following equation:
[tex]29^{\circ}+95^{\circ}+m\angle E+m\angle T = 360^{\circ}[/tex]
Subtract 29 and 95 from both sides to get [tex]m\angle E+m\angle T=236^{\circ}[/tex].
As we found earlier, [tex]m\angle E=m\angle T[/tex].
Therefore [tex]m\angle E=m\angle T=\frac{236}{2}=\fbox{$118^{\circ}$}[/tex].
Find the values of x and y.
Answer:
x = 20 (degrees)
y = 70 (degrees)
Step-by-step explanation:
The angle adjacent to the one labeled 40° is supplementary, so it would measure 140°. And the obtuse triangle is an isosceles, which means that x is half of 180° - 140°, so x = 1/2(40°) = 20°
To find y, subtract 90° and x from 180°
y = 180° - 90° - 20°
y = 70°
Answer:
x = 20 and y = 70
Step-by-step explanation:
x = 20 and y = 70
The theoretical probability of an event occurring is 3/4. Fill in the blank with a
number to complete each statement so that it best describes the expected
chances of the event occurring in an experiment. Out of 400 trials, the desired
outcome will occur approximately
times. *
Answer:
300 times
Step-by-step explanation:
Answer:
The answer is out of every 5, the desired out come will be approximately 2 times.
Step-by-step explanation:
what is 14x three over seven
What is the best estimate
4.79 + 13.02
Answer:
17.81, but I would estimate 17.80 so it doesnt look exact.
Step-by-step explanation:
PLEASE ANSWER ASAP WITH WORK FOR BRAINLEST!!!!!!!!!!!!!!!!1
Answer:
they need to wash 39 cars
Step-by-step explanation:
600-61=539
539/14=38.5
round to 39
what‘s the maximum and minimum
pls help！！！
Answer:
D.By finding the unit rate and multiplying it by 7.
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
22-18-25,
19-24-30,
7-24-25
Step-by-step explanation:
In a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex], any two sides must have a sum larger than the third.
Using this rule, the possible side lengths out of these choices that could form a triangle are:
22-18-25,
19-24-30,
7-24-25
Miranda cuts grass ( g ) for $ 20 and hour and trims hedges ( h ) for $ 25 an hour. She is trying to make enough money during the summer to buy a car for $ 4200 .
Which inequality represents the number of hours Miranda needs to cut grass and trim hedges?
what are the options
Please can you help me
Answer: 340 children
a quarter is 1/4.
1,360 is the total number of children.
1,360 ÷ 4 = 340
When you purchased 100 shares of Bio-Tech Sciences, the value per share was listed at $12.38. When Bio-Tech
Sciences sent out their daily report today, you see that they list the value of their stock at $45.16. If you were to sell all
your shares in Bio-Tech Sciences today, what would be the total value of your investment?
a $1,238.00
c. $5,754.00
b. $4,516.00
d. $3,278.00
Answer:
b
Step-by-step explanation:
4,516.00
Answer:
C.
Step-by-step explanation:
Edge2022
If 10 men can cut a piece of lawn in 4
days, how long will it take 8 men to
cut the same lawn?
Answer:
About 3
Step-by-step explanation:
Step-by-step explanation:
10 men =4 days
8 men =x days
cross multiply
10×x=8×4=24
A.) The formula for the volume of a sphere is given below and the relationship between the radius r and the diameter d is r=d/2. Find the EXACT volume of the sphere in terms of the diameter d. Be sure to fully simplify the expression.
B.) What is the EXACT volume of the sphere when the diameter is 2/3 centimeter?
Answer:
[tex]\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3[/tex]
Step-by-step explanation:
The Volume of a Sphere
The volume of a sphere of radius r is given by:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]
A. )
If the diameter of the sphere is d, the radius is r=d/2. Substituting:
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \left (\frac{d}{2} \right )^3[/tex]
Operating
[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot \frac{d^3}{8}[/tex]
Simplifying
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot d^3[/tex]
B.)
The diameter of the sphere is 2/3 cm, thus the volume is:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \left (\frac{2}{3} \right )^3[/tex]
Operating:
[tex]\displaystyle V=\frac{1}{6}\cdot \pi\cdot \frac{8}{27}[/tex]
[tex]\displaystyle V=\frac{8}{27}\frac{1}{6}\cdot \pi[/tex]
[tex]\boxed{\displaystyle V=\frac{4}{81}\cdot \pi\ cm^3}[/tex]
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Step-by-step explanation:
540 = 4x-10+5x-11+128+4x+2+132
23= x
RST=104
QRS=82
TPQ=94
The value of x from the figure is 23
PolygonsThe sum of the interior angle of the pentagon is 540 degrees
Taking the sum of all the angles:
4x+2+132+4x-10+128+5x-11 = 540
4x+4x+5x+241 = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
Hence the value of x from the figure is 23
Learn more on polygons here: https://brainly.com/question/24966296