Answer: A
Step-by-step explanation:
63% of all people in the United States have at least some college education. If ten people were chosen at random, find the probability that exactly half have some college education.
Answer: 0.2417
Step-by-step explanation:
- 10! / (10-5)!5! x 0.53^5 x 0).47^5
To solve the problem we must know Binomial distribution.
The probability that exactly half have some college education is 17.3425%.
Given to us
The probability of a person having at least some college education = 63% = 0.63To solve the problem we will use the Binomial distribution, therefore,
The probability of a person having at least some college education, p = 63% = 0.63The probability of a person not having at least some college education, q = 37% = 0.37Number of people selected for college education (Sample Size) = 10Using the formula for Binomial Distribution,We want the probability that exactly half have some college education, therefore, x = 5
[tex]P(x) = ^nC_x\ p^x\ q^{(n-x)}[/tex]
Substitute the values we get,
[tex]P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{(10-5)}\\\\P(5) = ^{10}C_5\ (0.63)^{5}\ (0.37)^{5}\\\\P(5) = 0.173425 = 17.3425\%[/tex]
Hence, the probability that exactly half have some college education is 17.3425%.
Learn more about Binomial distribution:
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Amanda and Alexis live 4 miles apart. They decide to start walking toward each other's houses at the same time. Amanda walks at a rate of 3.5 miles per hour and Alexis walks at a rate of 4 miles per hour. How long will it take for them to meet? Round to the nearest hundredth of an hour. [Remember: D = (r)(t)] Two boxes, one with Amanda and 3.5 m p h. To the right is the other box with Alexis and 4 m p h. Below, the boxes there is a bracket, halfway between, pointing to 4 miles. hour
Answer:
t = 0.534 seconds
Step-by-step explanation:
Given that,
Amanda and Alexis live 4 miles apart.
Speed of Amanda = 3.5 mph
Speed of Alex = 4 mph
We need to find how long will it take for them to meet.
As they start walking toward each other's houses at the same rate. Their relative velocity will be :
v = 3.5 mph + 4 mph
= 7.5 mph
Let after time t they will meet.
[tex]t=\dfrac{d}{v}\\\\t=\dfrac{4}{7.5}\\\\=0.534\ s[/tex]
Hence, after 0.534 seconds they will meet.
Answer:
the person above me is right but the answer is 0.53 on edge 2020
Step-by-step explanation:
Compute the slope of the line intersecting the points (1, 2) and (3, 8). *
1 point
I’ll mark as brainiest
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (3, 8)
m = [tex]\frac{8-2}{3-1}[/tex] = [tex]\frac{6}{2}[/tex] = 3
once there was a fox in a jungle. He was so hungry that he started moving in the forest searching for food. complete the story
Answer:
Step-by-step explanation:
he found some grapes
he tried to reach them but couldnt
he eventually gave up
so he just said "theyre
sour anyways"
so he said
HELP 30 pts:( Evaluate 2A - 3B for A = 7 and B = -2. 20 9 8
Answer:
20
Step-by-step explanation:
_.._
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( |' ' ) )
) _\= _/ (
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_.-`'---...__,' /-,..___.-'--'_| |_)
'-'``'-.._ ,' | / .........'
jgs ``;--"`; | `-`
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Answer:
ssxq
Step-by-step explanation:
Answer:
Hello. How's your day been so far?
Step-by-step explanation:
Can a cloud be a line of symmetry?
Answer:
No, it can not
Step-by-step explanation:
Hope this helped have an amazing day!
Which statement about numbers is true?
O All integers are natural numbers.
O All rational numbers are integers.
O All natural numbers are whole numbers.
O All rational numbers are natural numbers.
Plzzzz help!!! I will mark u brainlest
Answer:
c
Step-by-step explanation:
hope u have a blessed christmas and a happy new year
Answer:
the answer is option c
Step-by-step explanation:
what is the measure of angle 4??? please help asap!!!
===========================================================
Explanation:
Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.
Once we know that angle 3 = 100, we will use this to find angle 4.
Angles 3 and 4 add to 180. They form a straight angle or straight line.
(angle3)+(angle4) = 180
(100) + (angle4) = 180
angle4 = 180-100
angle4 = 80 degrees
please help me w this, wi give u brainliest:0
Answer:
(2,0) is an ordered pair
Step-by-step explanation:
y=1/2x-2 hope this helps :)
Which relations are functions?
Select Function or Not a function for each graph.
Answer:
The graph is a function
General Formulas and Concepts:
Algebra I
Vertical Line Test - each x-value must have its own y-valueStep-by-step explanation:
When we apply the Vertical Line Test to the parabola in the graph, we see that it passes it. Therefore, the graph shown is a function.
Cindy sells wooden toys for $5 each and plastic toys for $3 each for a charity event. Last weekend she sold 42 toys, and she raised a total of $174. How many wooden toys did she sell that weekend?
Answer:
34
Step-by-step explanation:
It can't be higher than 34 since 174÷5= 34.8
What type of exponential function is f(x)=0.75(2.1)x
What is the function's percent rate of change?
Select from the drop-down menus to correctly complete each statement.
The function is an exponential_____ function.
The percent rate of change of the function is _____%.
Answer:
Growth110%Step-by-step explanation:
The function is an exponential growth function
Because 2.1 > 1The percent rate of change:
2.1 - 1 = 1.1 ⇒ 1.1*100% = 110%Answer:
the function is an exponential Growth function.
the percent rate of change of the function is 110%.
Step-by-step explanation:
Answer is correct, i took the k12 test.
The table shows a person saving money at a constant rate. How much is this person saving per week?
(Chart)
$------ 2-60. 4- 120. 6- 180. 8-240
(Answers)
A)$2.
B)$30.
C)$60.
D)$120
Answer:
We conclude that the person is saving $60 dollars per week.
Hence, option C is true.
Step-by-step explanation:
Given the table chart
Week Saving Money
2 60
4 120
6 180
8 240
We know to determine the slope to find the rate of change.
Taking the points (2, 60) and (4, 120)
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [120 - 60] / [4 - 2]
= 60 / 2
= $30 dollars per week
Now, taking the points (4, 120) and (6, 180)
Rate of change = Slope = [180 - 120] / [6 - 4]
= [60] / [2]
= $30 dollars per week
Now, taking the points (6, 180) and (8, 240)
Rate of change = Slope = [240 - 180] / [8 - 6]
= [60] / [2]
= $30 dollars per week
This concludes that the rate of change is contant i.e. $30 dollars per weekTherefore, we conclude that the person is saving $60 dollars per week.
Hence, option C is true.
what polynomial should be subtracted from 3x^2+4x-1 to get the difference equal to 0
PLZ HELP
Answer:
1
Step-by-step explanation:
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ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
ZC = 87AC = 150Step-by-step explanation:
Can't post as text so adding as picture
What is the solution to the system below?
y = 5x - 9
y = x + 3
What is the solution for the system below?
y = 5x - 9
y = x + 3
ANSWER : x = 3 and y = 6
DISCUSSIONThe method of elimination is a method by which one of the variables is eliminated so that the remaining variables are subsequently searched for the satisfactory value.
Is knownEquation 1 : y = 5x - 9
Equation 2 : y = x + 3
Askedx?
y?
AnsweredEquation 1
y = 5x - 9
- 5x + y = - 9
5x - y = 9
Equation 2
y = x + 3
- x + y = 3
Elimination Equation 1 dan 2
5x - y = 9
- x + y = 3
--------------- +
4x = 12
x = 3
Obtained x = 3
Substitute x = 3 to equation 2
- x + y = 3
- ( 3 ) + y = 3
- 3 + y = 3
y = 3 + 3
y = 6
PROOF IF x = 3 and y = 6
5x - y = 9
5 ( 3 ) - ( 6 )
15 - 6 = 9
Conclusionso the x and y values for the system are
x = 3 and y = 6
Learn more,1. Quadratic equations
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DETAIL ANSWERGrade : 8th
Course : Mathematics
CHAPTER : Variable Equation 2
Code : 8.2.5
What is the simplified form of the expressions?
a. −6a2b−1
b. 5/y−3
Answer:
a.
-6a²/ b
b.
5y³
Step-by-step explanation:
a
-6a²b⁻¹
-6a²/ b
b.
5/ y⁻³
5 / 1/ y³
5 * y³/1
5y³
¿Cuántas veces más grande es 5 x 106 que 5 x 102?
Answer/Step-by-step explanation:
5 x 106 es la más grande ecuacióne.
5 x 106 = 530
5 x 102 = 510
530 > 510
Orchids are a family of thousands of types of flowers that all share the same shape. Many gardening clubs are devoted to collecting, studying, and growing orchids, because it is difficult to grow them outside of their natural habitats. Which are scientific questions that can be asked about a collection of different orchid types? Check all that apply. Which type needs the highest temperatures to grow in? Which type has the most beautiful colors? Do all of the types make food the same way? Do all of the types deserve the same amount of admiration? How can someone decide which type makes the best gift? How long does it take for a specific type to make its seeds?
Answer:
The correct options are;
1) Which type needs the highest temperature to grow
2) Do all of the types make food the same way
3) How long does it take for a specific type to make seeds
Step-by-step explanation:
The number of types of species in the orchid family = Several thousand
The tasks the gardening clubs are devoted to = Collecting, Studying, and growing of the orchids
The manner of the growth of the orchids = Difficulty observed in growing outside the orchid's natural habitat
Scientific questions are objective questions that are measurable, well defined about parameters that can be controlled which can be answered by means of an experiment and meant to provide a deeper understanding of the nature of the world around us
Therefore, the scientific questions that can be asked about a collection of different orchid types are;
1) Which type needs the highest temperature to grow
The above is a question that has a defined parameter (temperature) which is measurable and the answer can be provided by experimenting
2) Do all of the types make food the same way
An experiment with different orchid types will provide an answer to the above question
3) How long does it take for a specific type to make seeds
The length of time for it takes the seed to grow is measurable within an experiment.
Answ do all types make food the same way? which type needs higher tempurturs to grow and do all types make food the same way
Step-by-step explanation:
i took the test
Ian is buying apples at the farmer’s market.
The apples come in packages of different sizes.
Choose the package that is the best buy.
A. 2 lb for $4.98
B. 5 lb for $12.25
C. 8 lb for $18.80
D. 10 lb for $23.70
Use <, >, or = to compare the following
5 and -8
7 and -11
Answer:
5 > -8 , and 7 > -11
Step-by-step explanation
5 and 7 are greater than negative numbers
Is the answer to this equation 20 ÷ 2(7+3), 1 or 100?
Answer:
its 1 bc (7+3) =10 then 2×10= 20÷20=1
What is the factored form of 64g3+8?
O. (4g + 2) (16g2 + 8g - 4)
O. (4g + 2) (16g2 - 8g - 4)
O. (4g + 2) (16g2 + 8g + 4)
O. (4g + 2) (16g2 - 8g + 4)
Answer:the answer is D
Step-by-step explanation:
Place the following numbers in ascending order. 20/7, 3.1, 2 3/4 (Answer should be in original form
2.1,2.6,3.1
Step-by-step explanation:
20/7=2.6
2 3/4=9/4
9/4=2.1
3.1
Can someone help me with this please.
HELP LOOK AT THE SCREENSHOT
Find the value of x. (SHOW WORK)
Answer: x = 2
=============================================================
Explanation:
Refer to the diagram below.
I've added points D,E,F,G. This helps with labeling the segments and angles, and identifying the proper triangles (to see which are congruent pairs).
Triangle GEA is congruent to triangle GFA. We can prove this using the AAS congruence theorem. We have AG = AG as the pair of congruent sides, and the congruent pairs of angles are marked in the diagram (specifically the blue pairs of angles and the gray right angle markers)
Since triangle GEA is congruent to triangle GFA, this means the corresponding pieces segment GF and GE are the same length.
The diagram shows GF = 3x-4, so this means GE = 3x-4 as well.
----------------------
Through similar steps, we can show that triangle GEC is congruent to triangle GDC. We also use AAS here as well.
The congruent triangles lead to GD = GE. So GD = 3x-4. The diagram shows that GD = 6x-10
Since GD is equal to both 3x-4 and 6x-10, this must mean the two expressions are equal.
----------------------
Now let's solve for x
6x-10 = 3x-4
6x-3x = -4+10
3x = 6
x = 6/3
x = 2
Simon drove through some roadworks where the speed limit was 50 mph. Two cameras recorded the time taken to travel 1200 m through the roadworks as 56 seconds . Was Simon speeding through the roadworks ?
Answer:
[tex]Speed = 21.43m/s[/tex]
Step-by-step explanation:
Given
[tex]Distance = 1200m[/tex] -- of the roadworks
[tex]Time\ Recorded = 56s[/tex]
Required
Determine the speed
In this case:
[tex]Speed = \frac{Distance\ of\ Roadword}{Time\ Captured}[/tex]
[tex]Speed = \frac{1200m}{56s}[/tex]
[tex]Speed = 21.43m/s[/tex] --- approximated
Airpods originally cost $120. after a discount, the Airpods cost $84. What is the percent decrease for the Airpods
Answer:
the percent can be 36% or 35% but i would go for 36%
The value of x is ____ degrees, and the value of y is___degrees
Answer:
x = 112°, y = 68°
Step-by-step explanation:
68° and y are corresponding angles and are congruent, then
y = 68°
x and y are adjacent angles and are corresponding ( sum to 180° ), then
x + y = 180°
x + 68° = 180° ( subtract 68° from both sides )
x = 112°