The probability that AT LEAST ONE of them has been vaccinated is 0.9979.
Vaccination rate among the population: p = 0.71
Sample size = 5
Assume that X people have received vaccinations.
P(atleast one) = 1 - P (none)
By the binomial distribution, now,
P(none)= (⁵₀) 0.71° (1-0.71)⁵⁻⁰
= 1 × 1 (0.29)⁵
= 0.0021
So,
P(at least one) therefore equals 1 - P (none)
= 1 - 0.0021
= 0.9979
Therefore, the probability that AT LEAST ONE of them has been vaccinated is 0.9979
An explanation of probability theory?
Probability theory is a mathematical discipline that analyzes random encounters. A random event's outcome cannot be predicted before it occurs, but it could take any of several various forms. The end outcome is thought that it was determined by chance.
To learn more about Probability, visit:
https://brainly.com/question/10697254
#SPJ4
The sun is about 93×10 to the fifth power miles from earth what is the distance when I am a whole Number
Answer:
93 x 10 = 930^5 = 695688369300000
Which formulas have been correctly rearranged to solve for radius? check all that apply. r = startfraction g times m subscript central baseline over v superscript 2 baseline endfraction. r = startfraction f subscript c baseline times m over v superscript 2 baseline endfraction. r = startfraction a subscript c baseline over v superscript 2 baseline endfraction r = startfraction v t over 2 pi endfraction r = startfraction a subscript c baseline times t over pi endfraction
r = \frac{GM}{v^{2} } formulas have been correctly rearranged to solve for radius.
What is circular motion ?
An object moving in a circular motion is defined as rotating while doing so. There are two types of circular motion: uniform and non-uniform. While the angular rate of rotation and speed are constant during uniform circular motion, they are not during non-uniform motion.The problem is asking to find the radius of the orbit of a satellite around a planet, given the orbital speed of the satellite.
For a satellite in orbit around a planet, the gravitational force provides the required centripetal force to keep it in circular motion, therefore we can write:
[tex]\frac{GMm}{r^{2} } = m\frac{v^{2} }{r}[/tex]
where
G is the gravitational constant
M is the mass of the planet
m is the mass of the satellite
r is the radius of the orbit
v is the speed of the satellite
Re-arranging the equation, we find
[tex]\frac{GM}{r} = v^{2}[/tex]
[tex]r = \frac{GM}{v^{2} }[/tex]
Learn more about circular motion
brainly.com/question/2285236
#SPJ4
Answer: a and d
Step-by-step explanation: edge 2022
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.) 5x2 10x 4
Answer:
400
Step-by-step explanation:
5x2x10x4=
if there are ten marbles in a bag (those marbles being two yellow, three pink, and five blue) and two are randomly drawn, what is the probability of drawing two yellow marbles if the first one isn't put back before the second draw?
please help T^T
The probability of drawing two yellow marbles if the first one isn't put back before the second draw will be 1/45.
How to calculate the probability?Number of yellow marbles = 2
Number of pick marbles = 3
Number of blue marbles = 5
Total number = 10
The probability of drawing two yellow marbles if the first one isn't put back before the second draw will be:
= 2/10 × 1/9
= 2/90
= 1/45
The probability is 1/45.
Learn more about probability on:
brainly.com/question/24756209
#SPJ1
Which of the following values are solutions to the inequality 3 − 4 x ≥ − 3 ? 3−4x≥−3?
The values in the solution set of the inequality are values that do not exceed 0
How to determine the values that are solutions to the inequality?The inequality expression is given as
3 − 4 x ≥ − 3
Rewrite the expression properly.
So, we have
3 − 4x ≥ −3
Add 3 to both sides of the inequality.
So, we have
3 + 3 − 4x ≥ −3 + 3
Evaluate the like terms
So, we have
− 4x ≥ 0
Divide both sides by -4
x ≤ 0
The above means that the values in the solution set of the inequality are values that do not exceed 0
Read more about inequality at
https://brainly.com/question/24372553
#SPJ1
a trapezoid was transformed on a coordinate grid using the rule (x, y) → (–x, y). which of the following describes this transformation?
reflect over x axis transformation represents this rule (x, y) → (–x, y).
How to find the type of transformation?Make a coordinate plot using squared paper.
An illustration.
take the coordinate points (2,3) and (-3,-2)
They are reflected in the x-axis.
The results that you should get are as follows.
(2,-3) and (-3,2)
The y-coordinate is the opposite of the original position, while the x-coordinate is unchanged.
This can be described generally as (x, y) → (–x, y).
When a point is reflected across the X-axis, its X-coordinate stays constant. On the other hand, the Y-coordinate is altered to the opposite sign.
The point (x,y) is therefore reflected across the X-axis as (x,-y).It is known as a reflect over x axis transformation.
Learn more about transformation from here:
https://brainly.com/question/1620969
#SPJ4
Solve the equation.
-8y-8=7y +22
An artist used 6 tubes of red paint, 2 tubes of yellow paint, 13 tubes of white paint, and 9 tubes of blue paint for a mural. what is the ratio of blue paint tubes to all the tubes of paint used?
The ratio of blue paint to all tubes of paint = 3:10
Number of tubes of red paint = 6 tubes
Number of tubes of yellow paint = 2 tubes
Number of tubes of white paint = 13 tubes
Number of tubes of blue paint = 9 tubes
Total no. of paint tubes = 6 red tubes + 2 yellow tubes+ 13 white tubes + 9 blue tubes = 30 tubes of paint
We use the following formula to find the required ratio:
The ratio of blue paint tubes to all tubes of paint = Number of blue paint tubes: Number of all tubes = 9:30 or 3:10
Learn more about ratios:
https://brainly.com/question/13419413
#SPJ4
auto pistons at wenming chung's plant in shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. from sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: day mean bold x overbar (mm) range r (mm) 1 156.9 4.4 2 155.2 4.4 3 155.6 4.1 4 155.5 5.2 5 154.6 4.3 part 2 a) what is the value of x double overbar ? x double overbar equalsenter your response here mm (round your response to two decimal places).
The value of the x double bar (mean) of the given data is 155.16mm.
What is mean?
The mean (average) of a records set is observed with the aid of using including all numbers withinside the records set after which dividing with the aid of using the quantity of values withinside the set. The median is the center price while a records set is ordered from least to greatest. The mode is the quantity that takes place most customarily in a records set. Created with the aid of using Sal Khan
X bar = sum of all means / numbers of means
X bar = (156.9 + 153.2+153.6+155.5+156.6) / 5
X bar = 775.8 / 5
X Bar = 155.16mm
To learn more about mean from given link
https://brainly.com/question/19243813
#SPJ4
|60| ___ |-60| = < >
Answer:
It is equal
Step-by-step explanation:
60 and -60 cancel each other out so the answer is equal.
Answer: |60|=|-60|
Step-by-step explanation:
|-60| would turn into 60 and |60| would remain 60 so they are equals
What's 960 divided by 40?
Answer:
24
Step-by-step explanation:
960/40 =
To make it simpler you could divide 10 by both digits to simplify them (as in fractions).
960/10 = 96
40/10=4
Now your have 96/4
Again this can be simplified by dividing both by 2
96/2 = 48
4/2 = 4
48/2
48 is definitely a multiple of 2, so dividing this your answer is 24
The expression 960 divided by 40 is 24.
We have,
Expression:
960 divided by 40
This can be written as,
960 ÷ 40
40 ) 960 (24
80
160
160
0
The quotient is 24 and the remainder is 0.
Thus,
The expression 960 divided by 40 is 24.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
Write this sentence as an inequality
Answer:
8b+2=3
Step-by-step explanation:
8b+2 have to addition
Are they símilar? Yes or no
Answer:
yes
Step-by-step explanation: Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures.
Triangle ABC lies on the coordinate plane with the vertices A(7,6), B(-3,5) and C(-6,1).
The triangle is transformed using the rule (x, y) --> (x+4, 3y) to create triangle A'B'C'.
What are the coordinates of B'?
The transformation, the coordinates of point B' become (1, 15).
The transformation rule (x, y) → (x + 4, 3y) involves shifting the x-coordinate by 4 units to the right and stretching the y-coordinate by a factor of 3. To find the coordinates of B' after applying this rule, we take the coordinates of point B(-3, 5):
x-coordinate of B' = x-coordinate of B + 4 = -3 + 4 = 1.
y-coordinate of B' = y-coordinate of B * 3 = 5 * 3 = 15.
Therefore, after the transformation, the coordinates of point B' become (1, 15). This means that B' is located 4 units to the right of B along the x-axis and its y-coordinate is three times that of B. The transformation has shifted and stretched the original triangle, resulting in a new position for point B'.
To know more about coordinates:
https://brainly.com/question/32836021
#SPJ3
Find the distance between the two points in simplest radical form. (0,-1) and (-5, -5)
The distance between the given two points is 7 units.
What do we mean by distance?Distance is a numerical or qualitative measurement of the distance between two objects or points. The distance can refer to a physical length or an estimate based on other criteria in physics or everyday usage.Formula: [tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
Put the values in the formula:
x₁ = 0 y₁ = -1x₂ = -5 y₂ = -5Then,
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\sqrt{(-5-0)^{2}+(-5-(-1))^{2} } \\\sqrt{25+(25-1)} \\\sqrt{25+24} \\\sqrt{49} \\=7[/tex]
Therefore, the distance between the given two points is 7 units.
Know more about distance here:
https://brainly.com/question/17273444
#SPJ9
what is the product?
(3a²b^4)(-8ab³)
Answer:
-24a^3b^7
Step-by-step explanation:
Answer:
[tex]-24a^3b^7[/tex]
Step-by-step explanation:
Hello!
We can simplify by multiplying and expanding the expression. Then, multiply with the same variables.
Simplify[tex](3a^2b^4)(-8ab^3)[/tex][tex](3)(a^2)(b^4)(-8)(a)(b^3)[/tex][tex](3)(-8)(a^2)(a)(b^4)(b^3)[/tex][tex]-24a^3b^7[/tex]The simplified expression is [tex]-24a^3b^7[/tex].
if a deli offers 10 fillings, 9 types of bread, and 6 condiments, and each sandwich consists of a filling, a type of bread, and a condiment, how many different sandwiches can the sandwich shop create?
540 and 5760 sandwiches can the sandwich shop create
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 6 possibilities
=540
10 fillings, 9 bread, 6 condiments
= 10 possibilities × 9 possibilities × 64 possibilities
=5760
sandwich can have any no.of condiments,
let say A,B,C are condiment then possibilities are
A,B,C,AB,BC,AC,ABC , no condiment
i.e, [tex]2^{6}[/tex] = 64 possibilities.
What do you mean by possibilities?A likelihood that something will or won't occur or exist: the condition or reality of being possible There is a chance of rain today. A potential event or object that might exist It's possible that life exists on other worlds. More about potential from Merriam-Webster.
An example of a probability that you will attend a party is if there is a 50/50 chance that you might do so. The green dress is an example of a potential option you may select from when given the choice between wearing a red dress or a green dress.
To learn more about possibilities, visit:
https://brainly.com/question/11476324
#SPJ4
Omar will rent a car for the weekend. He can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $60 and costs an additional $0.80 per mile driven. How many miles would Omar need to drive for the two plans to cost the same?
Answer:For the two plans to cost the same Omar would need to drive 275 miles
Step-by-step explanation:Please give brainliest if right.
I don't know how to solve this.
The next three terms in the sequence are 116 , 159 and 209
We are supposed to find the next 3 terms in the sequence:
5, 6, 14, 29, 51, 80, ___, ___, ___.
Here we can are first supposed to find the pattern which is as follows:
[tex]6-5=1\\14-6=8\\29-14=15\\51-29=22\\80-51=29\\[/tex]
Therefore difference between the numbers is 7 more than the previous one i.e,
[tex]1+7=8\\8+7=15\\15+7=22\\22+7=29[/tex]
Let required three numbers be x, y and z
So [tex]x-80=29+7=36\\x=116[/tex]
[tex]y-116=36+7=43\\y = 159[/tex]
and [tex]z-159=43+7=50\\z=209[/tex]
Hence x = 116, y = 159 and z = 209
Sequence: A sequence is an arrangement of numbers in a particular and ordered manner.To learn more about sequence, click on the link given below:
https://brainly.com/question/21961097
#SPJ9
is c=3.75x proportional
Answer:
No
Step-by-step explanation:
If we put x=1 in equation y=x+3.75
y=(1)+3.75
y/x=4.75
If that is proportional then y/x will be the same in each scenario
and if we put x=2 then y=(2)+3.75
y=5.27
y/x=2.875
So, it is not equal, it means that equation is not proportional.
Select the correct answer from each drop-down menu. what is the end behavior of function h? as x approaches negative infinity, approaches . as x approaches positive infinity, approaches .
Because the variable has an even power, we will see that:
As x approaches -∞, h(x) approaches -∞
As x approaches ∞, h(x) approaches -∞.
Here we have h(x) = -4x^2 + 11
Notice that the variable is squared, this means that the sign does not matter, the outcome of:
-4x^2 will always be negative. So in both ends (when x tends to infinity and negative infinity), we will have the same end behavior.
When we take that limit, -4x^2 will just tend to negative infinity, then in both cases, the function tends to negative infinity.
So we have:
As x approaches negative infinity, h(x) approaches negative infinity.
As x approaches positive infinity, h(x) approaches negative infinity.
For more information on function click on the link below:
https://brainly.com/question/22340031
#SPJ4
pls help me i am not smart 4x + 2y = 12
Answer: (0,-6), (1,-4)
Step-by-step explanation:
Subtract 4x from both sides of the equation.
−
-2y=12−4x
Divide each term in -2y=12-4x by-2 and simplify
-
y=-6+2x
Rewrite in slope-int form.
y=2x-6
Next, you want to use the slope-int form to find the slope and y-int so you get (0,-6) and (1,-4)
which function is not continuous? a. your altitude as a function of time while flying from reno to dallas. c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls. b. time of travel from miami to pensacola as a function of driving speed. d. area of a circle as a function of radius. please select the best answer from the choices provided a b c d
The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
We know that a function that does not have discontinuities in the values that means any changes in value.
We have been given four statements.
a. your altitude as a function of time while flying from reno to Dallas.
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
b. time of travel from Miami to Pensacola as a function of driving speed.
d. area of a circle as a function of radius.
We need to find a function which is not continuous.
The function which is not continuous is the statement C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Because the number of these balls is discreet, not continuous (meaning that there cannot be 2.3 balls).
Therefore, The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
Learn more about the continuous function here:
https://brainly.com/question/28228313
#SPJ4
What does x equal in this problem ?
Answer:54
Step-by-step explanation:
A MATCHBOX HOLDS 48 MATCHES.HOW MANY MATCHBOXES ARE NEED TO HOLD 1104 MATCHES?
Answer:
23
Step-by-step explanation:
1104/48 = 23 boxes
tep 2 of 3: find the standard error of the sampling distribution to be used in constructing the confidence interval. round your answer to two decimal places.
Lower = 61.655811
Upper = 0.3441888
What is sampling distribution ?The probability distribution of a statistic acquired from a bigger sample size taken from a certain population is known as the sampling distribution. The frequency distribution of a variety of possible outcomes for a population statistic makes up the sampling distribution of a specific population. A population is the total group from which a statistical sample is taken in statistics. An complete collection of individuals, things, occasions, medical visits, or measures can all be referred to as a population. Thus, a population may be defined as an overall observation of persons that have been categorized according to a common characteristic.
=2.11(126)
=15(D28)
Lower = 61.655811
Upper = 0.3441888
To know more about sampling distribution, visit;
https://brainly.com/question/13501743
#SPJ4
cosec4A-1/cot4a=1+2tan2a
Answer:
See image for answer.
Find the area of ABCD with vertices A(-2, 6), B(4, 6), C(5, 4), and D(-1,-4).
The area of ABCD is
___ square units.
The area of the quadrilateral ABCD is equal to 12 square units.
How to determine the area of the parallelogram
In this question we find a parallelogram, of which a pair of parallel sides is parallel to the x-axis. The area of the parallelogram is equal to the product of its base and its height. The quadrillateral ABCD has a base of 6 units and the height is 2, and the area of the quadrillateral is equal to:
A = 6 · 2
A = 12
The area of the quadrilateral ABCD is equal to 12 square units.
To learn more on parallelograms: https://brainly.com/question/1563728
#SPJ1
Given y = x^2 - 4, what is the value of y when x = -5?
Answer:
21
Step-by-step explanation:
y = [tex]x^{2}[/tex] -4 Substitute in -5 for x
y = [tex](5)^{2}[/tex] - 4
y = 25 - 4
y = 21
Answer:
y = 21
Step-by-step explanation:
Plug in -5 into the equation
(-5)² - 4
25 - 4 = 21
The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = -4, y = 6
[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=-4\\ y=6 \end{cases} \\\\\\ 6=k(-4)\implies \cfrac{6}{-4}=k\implies -\cfrac{3}{2}=k~\hfill \boxed{y=-\cfrac{3}{2}x}[/tex]