Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
PLEASE HELP options are in the picture
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing.
How will you model the simulation for the roll of a die?
Answer: C. Use the numbers 1-3 to represent all the outcomes.
Step-by-step explanation: I got this question correct on Edmentum.
if you could please help
Answer:
true, false, false, true.
Step-by-step explanation:
if you need explanation just comment
Answer:
The same as the person who has already answered
True, False, False, True
Step-by-step explanation:
Which statement about all expressions is true? A All expressions contain only numbers. B All expressions are mathematical statements with an equal sign. C All expressions contain variables. D All expressions are mathematical phrases with no equal sign.
Answer:
c
Step-by-step explanation:
Answer:
36 - 4
Step-by-step explanation:
(6x - 2)(6x + 2)
= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)
= 36 - 12x + 12x - 4
= 36 - 4
Step-by-step explanation:
The last problem is correct as it is green. The
First 2 are wrong. Help??
Answer:
Square root of 72 is 8.48.
Square root of 90 is 9.48
y = x2 – 3x + 2
use the discriminant to determine the number of solutions
Answer:
2 real solutions
Step-by-step explanation:
The formula for determining the discriminant is b² - 4ac.
So, let's identify our variables.
a = 1
b = 3
c = 2
Now, we can plug in our values.
3² - 4(1)(2)
9 - 8
1
1 is the discriminant of this function, and since 1 is positive, this indicates that there are two distinct real number solutions.
Suppose that you are examining the difference in ages between brides and grooms. You are interested in conducting a significance test to examine to address the theory that the bride is younger than the groom in more than half of all marriages. A sample of 100 couples were observed, for which 67 had a bride younger than the groom.
whats is the parameter? .
Step 2: The null hypothesis and alternative hypothesis?
Step 5: whats the p-value is:
Answer:
Parameter = 0.5
Null hypothesis : H0 : P0 = 0.5
Alternative hypothesis ; H0 : P0 > 0.5
Pvalue = 0.99966
Step-by-step explanation:
The parameter defines a statistical value or calculation which is derived from the population.
The parameter in this scenario is the population proportion, P0 which is 0.5
The scenario above describes a scenario to test the difference in population.
The null hypothesis, that bride and groom are of the same age ;
H0 : P0 = 0.5
The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.
H1 : p0 > 0.5
To obtain the Pvalue :
Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)
Phat = x/n
x = 67 ; sample size, n = 100
Phat = x / n = 67/100 = 0.67
P0 = 1 - 0.5 = 0.5
Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)
Tstatiatic = 0.17 ÷ 0.05
Tstatistic = 3.4
P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).
Which of the following has the greatest value?
A) 0.8
B) 0.45
C) 5/7
D) 0.647
E) 9/11
the final game is altered. bag one 5 red balls
Answer:
what are you talking about
Step-by-step explanation:
Answer:
five red balls one bag
HELP ME WITH THISSS!!!!!!!!!!!!!!!!!!!
25 points and brainliest for correct answer!!
Convert to standard form equation. Quadratics
Only the y=1/3x^2+2 and the y=-1/7x^2+12
Answer:
For the y=1/3x^2+2 the answer is For the second one y=-1/7x^2+12 the answer is
Step-by-step explanation:
Find the area of this circle and round to the nearest tenth. Help me pls
Answer:
201 in²
Step-by-step explanation:
area = πr² = (3.14)(8²) = 200.96 in²
What is the area of a triangle with a base of 4.8 mm and a height of 3.7
mm? *
Answer:
8.88 square mm
Step-by-step explanation:
The formula for solving a triangle is base multiplied by height divided by 2 or 1/2(b)(h)
So by plugging in what you have, you'll get 1/2(4.8)(3.7) as your equation. 4.8(3.7) = 17.76 which simplifies your equation to 1/2(17.76) or 17.76/2.
17.76/2 = 8.88
So, the area of the triangle is 8.88 square millimeters.
Factorise fully:
8p2 – 12pc
(2)
Answer:
so im unsure if the (2) is in the equation so i have two answers
(with 2) 8p (−3c+p)
(without 2) 4p(−3c+2p)
Step-by-step explanation:
(with 2)
Factor 8p2−12pc(2)
−24cp+8p2
=8p(−3c+p)
answer 1: =8p(−3c+p)
(without 2)
Factor 8p2−12pc
−12cp+8p2
=4p(−3c+2p)
answer 2: =4p(−3c+2p)
choose the expression that represents the fraction as a product of a whole number and a unit fraction 4/10
Answer:
69
Step-by-step explanation:
trust me
(D) Work out
1/4 of 28
Answer:
1/4 ×28=7 ::*^ jghjnryh
Answer:
7
Step-by-step explanation:
[tex]\left(\frac{1}{4}\right)\cdot28[/tex]
[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]
[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]
You should divide both the numerator and the denominator by 4 and get 7 as a result of that.
What is the perimeter, in units, of ΔABC Δ A B C with A(−1,−6) A B(7,−6), and C(3,−3)
Answer:
the perimeter in unites of abc with 3, -3 is a
Answer:
18 Units
Step-by-step explanation:
According to the calculator
Find the surface area of the rectangular prism:
Answer: 430 cm²
Step-by-step explanation:
1) Front x Back= 15 x 7 x 2= 210 (We do time 2 because there are two of the same shapes ex. there are two squares that are both 16 ft so just do 16 x 2)
2) Right x Left= 7 x 5 x 2 = 70
3) Top x Bottom= 15 x 5 x2 = 150
4) Add. 150 + 210 + 70 = 430 cm²
Hope that helped! :)
please help I'll give brainliest
You are wrapping a cube shape present that is 1.5 feet tall. How much wrapping paper will you need to wrap the entire present?
the answer is going to be 6.0
Step-by-step explanation:
1.5 + 1.5 = 3
3 + 3 = 6
BRAINLIEST if correct
Answer: The area of rectangle U is 12.
Step-by-step explanation:
We can solve this by finding the ratio of the two rectangle lengths which are given. We see that the ratio is 2/1. Now, from here you have two options to go. The first option is dividing 48 / 8 which is 6. Now you divide 6 / 2, because 2 is the scale factor. 6 / 2 = 3. 4 * 3 = 12, giving us the area of 12. Another way to do it is since the scale factor is 2, the ratio of the areas are the scale factor squared. 48 / 2 ^ 2 = 48 / 4 = 12.
There are 60 pupils who joined the Math Quiz Competetion. 40 were boys and 20 were girls. During the Awarding ceremony, it was found out that 20% of the boys and 15% of the girls won and receieve prizes. How many receieved prizes? Brainly.Ph Please Paki Sagot po In English Kailangan ko na po ngayon!! :)
Answer:
Total number of pupils who received the prize = 10
Step-by-step explanation:
Number of boys in the Math Quiz Competition = 40
Number of girls = 20
Percentage of girls who received the prize = 20%
Therefore, number of girls who received prize = 20% of 20
= [tex]20\times \frac{20}{100}[/tex]
= 4
Percentage of boys who received the prize = 15%
Therefore, number of boys who received the prize = [tex]40\times \frac{15}{100}[/tex]
= 6
Total number of pupils who received the prize = 4 + 6 = 10
Use the recursive formula to answer the question.
a1=20
an=an−1−5
What is the 4th term in the sequence?
Answer:
5
Step-by-step explanation:
What number in Arabic numerals is Roman numeral MCMXLI
(Enter numeric value only.)
Answer:
1941
Step-by-step explanation:
Hope this helped!!!
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show work pls!!!)
Answer: 8
Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get [tex]\sqrt{64}[/tex] which is 8.
Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.
Fina bought a DVD player for $58.97 and a set of DVDs for $24.98. How much did Fina spend in all?
Answer: $83.95
Step-by-step explanation:
Hope this helps!
1. A chess set has 32 pieces, 16 black and 16 white. In each color, there
are 8 pawns, 2 rooks, 2 Knights, 2 bishops, 1 queen and 1 king.
a. Find the probability that a piece selected at random is a white rook.
Explain how you found your answer.
b. How many ways can you choose one white piece and one black
piece? Explain how you found your answer.
c. How many ways can you choose 3 pieces from the 4 kings and
queens (black king, white king, black queen, white queen) to place
on 3 specific spaces on the chessboard? Is this a permutation or a
combination? Explain.
I REALLY NEED HELP WITH THESE AND FAST.
Answer:
I believe the answer is A.
Step-by-step explanation:
I don't really know how to really explain it tho
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
Given that, a chess set has 32 pieces, 16 black and 16 white. In each colour, there are 8 pawns, 2 rooks, 2 knights, 2 bishops, 1 queen and 1 king.
What is the formula to find the probability of an event?The formula to find the probability of an event is P(E)=Number of favourable outcomes/Total number of outcomes.
a. The probability that a piece selected at random is a white rook
=2/32=1/16
Therefore, the probability that a piece selected at random is a white rook is 1/16.
b. Number of ways can you choose one white piece and one black
piece=16×16=256
Each white piece can go with a black piece 16 times and the same the other way.
Hence, 256 ways can you choose one white piece and one black piece.
c. nPr=P(4,3)=4!/3=24/3=8 ways.
Hence, 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
This is a permutation.
a. The probability that a piece selected at random is a white rook is 1/16.
b. 256 ways can you choose one white piece and one black piece.
c. 8 ways can you choose 3 pieces from the 4 kings and queens to place on 3 specific spaces on the chessboard.
To learn more about the permutation visit:
https://brainly.com/question/1216161.
#SPJ2
18 times 200 is how much
dont actually answer i just wanna talk
18 time 200 is 3600 that's it
Answer:
hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free
Step-by-step explanation:
Please help for brainliest
No files!
10 points!
Answer:
Simple division
Step-by-step explanation:
Take each total price and divide it by the number of nights stayed. Once you have your answer to all three, compare and the lowest number is your answer.
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
B
15. x =
106
(10x -23)
D
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...
2(10x -23)° +106° = 360°
2(10x -23) = 254 . . . . . . . . divide by °, subtract 106
10x -23 = 127 . . . . . . . . . divide by 2
10x = 150 . . . . . . . . . . add 23
x = 15 . . . . . . . . . . . divide by 10
PLS HELP Find the value of x .
the answer is 6
8+10=18
12+?=18
12+6=18