The probability that exactly 1 buyer would prefer green P ( A ) = 0.1854
Given data ,
A researcher wishes to conduct a study of the color preferences of new car buyers
And , 30 % of this population prefers the color green
where 20 buyers are randomly selected
Now , binomial distribution problem with n = 20, p = 0.30 and we want to find the probability of exactly 1 buyer preferring green.
The formula for the probability mass function of a binomial distribution is:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where (n choose k) = n! / (k! * (n-k)!)
Plugging in the values, we get:
P(X = 1) = (20 choose 1) * 0.30¹ * 0.70¹⁹
= 20 * 0.30 * 0.70¹⁹
= 0.1854 (rounded to four decimal places)
Hence , the probability that exactly 1 buyer would prefer green is 0.1854
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Jerome went to the store and bought 2 cartons of eggs for $1.30 each and 1 box of pancake mix. His total bill was $6.10. Which equation can be used to correctly find the cost, x, of the box of pancake mix?
Factor the following expression so it is in simplest form.
6a – 4(2a + 3)
A.
–2(a – 6)
B.
–2(a + 6)
C.
2(7a – 6)
D.
2(7a + 6)
Answer:
B) -2(a+6)
Step-by-step explanation:
6a-4(2a+3)
6a-8a-12
-2a-12
factor
-2(a+6)
Please please give answer for this question
For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive
Step-by-step explanation:
Consider a function
f
(
x
)
which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.
Your brother is going away to college, so you no longer have to share a bedroom. You decide to redecorate a wall by
hanging two new posters on the wall. The wall is 14 feet wide and each poster is four feet wide. You want to place the
posters on the wall so that the distance from the edge of each poster to the nearest edge of the wall is the same as the
distance between the posters, as shown in the diagram below. Determine that distance.
14 Feet
4 Feet
4 Feet
Answer:
2 feet apart each
Step-by-step explanation:
Sunjai leaves a tip of $4 for his meal at the local burger place. His original meal cost him $18. What was his percent for the tip?
Answer:its 22% pls just give me brainliest so i can move up a ranking
Step-by-step explanation:
Answer:
22%
Step-by-step explanation:
What is the y intercept of the line 5x-2y=10
Answer:
Step-by-step explanation:
The y intercept occurs when x=0.
5(0)-2y=10
-2y=10
y=-5 or the point (0,-5)
One number is 24 more than the other. What are the numbers if their sum is 84
Answer:
The required numbers are 30 and 54.
Step-by-step explanation:
Let 'x' be the smaller numberLet 'y' be the larger numberGiven that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
so we have two equations
[tex]\begin{bmatrix}y=x+24\\ x+y=84\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y-x=24\\ y+x=84\end{bmatrix}[/tex]
subtracting the equartions
[tex]y+x=84[/tex]
[tex]-[/tex]
[tex]\underline{y-x=24}[/tex]
[tex]2x=60[/tex]
now solve 2x = 60 for x
[tex]2x=60[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}=\frac{60}{2}[/tex]
Simplify
[tex]x=30[/tex]
For y - x = 24 plug in x = 30
[tex]y-30=24[/tex]
Add 30 to both sides
[tex]y-30+30=24+30[/tex]
Simplify
[tex]y=54[/tex]
Thus, the required numbers are 30 and 54.
Verification:
Given that one number is 24 more than the other, so
[tex]y = x + 24[/tex]
substitute x = 30
y = 30 + 24
y = 54
Thus, y is 24 more than x.
Given that the sum of the numbers is 84, so
[tex]x + y = 84[/tex]
sustitute x = 30 and y = 54
30 + 54 = 84
84 = 84
L.H.S = R.H.S
Thus, the sum of the numbers is indeed 84.
What is (2, 4) and (5, −2) in point-slope formula to slope-intercept form
Answer:
Here ig
Step-by-step explanation:
What is the surface area of the triangular prism?
A)
144 cm
cm2
B)
216 cm2
C)
225 cm2
D)
256 cm
alternate exterior angles theorem
vertical angles theorem
corresponding angles postulate
same side interior angles theorem
alternate interior angles theorem
are all the second awsner which one is it
i need this awnser
117°
same side interior angles theorem
Seventy-five percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 70% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered
Answer:
0.05 = 5% probability that it will not be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has an emergency locator
Event B: Not discovered
Probability of having an emergency locator:
70% of 75%(discovered).
100 - 89 = 11% of 100 - 75 = 25%(not discovered). So
[tex]P(A) = 0.7*0.75 + 0.11*0.25 = 0.5525[/tex]
Intersection of events A and B
Having an emergency locator and not discovered, so 11% of 25%
[tex]P(A \cap B) = 0.11*0.25 = 0.0275[/tex]
What is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.5525} = 0.05[/tex]
0.05 = 5% probability that it will not be discovered
the area of a rectangle is 18cm square. what coul it dimension be?
Answer:
9 and 2
Step-by-step explanation:
9×2=18 and one side is longer than the other
your questions is wrong so dont come answer
What value of x would make AABC an isosceles triangle?
А
C с
2x + 4
3x - 8
Step-by-step explanation:
step 1. 2x + 4 = 3x - 8
step 2. x = 12.
Processes
8. &Practices Model Math Today 25 girls and 20 boys rode their
bikes to school. Each bike rack at school holds 5 bikes. How many
bike racks were filled?
Answer:
9 bike racks
Step-by-step explanation:
25 girls. 20 Boys
20+25=45
Each bike rack hold 5 bikes
45÷5= 9
Which integer represents this scenario?
an elevator goes down 2 floors
Answer:
We usually define the cases like this as follows:
If we go upwards N units, then we add N.
If we go downwards N units, then we subtract N.
In this case, suppose that the elevator is originally on the floor K (can be any integer number larger or equal than 2)
Then the elevator goes down 2 floors.
Then now the elevator will be on the floor (K - 2)
Then the integer that represents this scenario is -2, which represents the change in the floor number where the elevator is.
Juan ramirez sells suits in a major department store on weekends he Ernst a commission of 5 percent on the first ten suits and he sells more than ten he Ernakulam additional 3 percent last weekend he sold thirteen 250 suits what was his commission?
Answer:
$185
Step-by-step explanation:
The first ten suits sold for 10×$250 = $2,500
commission = 5% of $2,500 = 0.05×$2,500 = $125
The next three suits sold for 3×$250 = $750
commission = 8% of $750 = 0.08×$750 = $60
Total commissions = $125+$60 = $185
There are several errors in the question. If you are using voice recognition, you are better off typing the question manually.
how is 3 x 3/6 the same as 9 x 1/6
Answer:
3/1 times 3/6 = 9/6
9/1 times 1/6 = 9/6
Step-by-step explanation:
A map uses a scale of 1 in :20mi. Find the the actual distance of 5.5 inches on the map. help me
Answer:
110
Step-by-step explanation:
5.5 x 20 = 110
Which of the following equations would have the roots -3 and 2?
Answer:
Step-by-step explanation:
The second one.
For the given central angle, determine the distance traveled along the unit circle from the point (1, 0).
218 degrees
a.
1.21 units clockwise
c.
7.61 units
b.
3.80 units
d.
1.90 units
Answer:
Step-by-step explanation:
radius of unit circle = 1
θ = 218° × π/180° = 109π/90 radians
arc length = rθ = 109π/90 ≅ 3.80 units
Liam had63 markers, Alex has 49 markers, and Oliva has 77 markers use the GCF and
Answer:
and.....? look im only answering for the points m'lady. all i know is that olivia has, alex has, and liam HAD.
Step-by-step explanation:
Answer:
Step-by-step explanation:
63 = 3 * 3 * 7
49 = 7 * 7
77 = 7 * 11
So the GCF = 7.
LCM = 7 * 7 * 3 * 3 * 11 = 4851.
50 points!!!!!!!!!
Solve for x and y!!! Please help i will give crown!
Answer:
it is an iscoceles triangle..
so I think it should be 45 and 45
Write an equation in slope-intercept form of a line that has a slope of -2/3 and a y-intercept of 6.
respondo por qué el juego me lo diste 2+24
Answer:
y = -2/3x + 6Step-by-step explanation:
Equation in slope-intercept form:
y = mx + bSubstitute values:
y = -2/3x + 6Is ABC= DEF? If so, name the congruence postulate that applies.
Answer:
B)
Step-by-step explanation:
a p ec
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?
Answer: $156
Step-by-step explanation: 312 divided by 2 = 156
Juan ha comprado una camisa y un pantalón. Los precios de estas prendas sumaban 60 €, pero le han hecho un 10 % de descuento en la camisa y un 20 % en el pantalón, y paga por todo 50,15 €. Cual era el precio sin rebajar de cada prenda?
Answer:
62
Step-by-step explanation:
Answer:
La respuesta es 21.50 la camisa
38.50 el pantalon
21.50 X .10 = 2.15
38.50 X .20 = 7.70 la suma de los dos da 9.85
60 - 50.15 = 9.85
21+38.50 = 60
Huy is solving a quadratic equation by completing the square. His first few steps (steps 1-4) are shown below. Which of the following statements is true regarding Huy's work?
Given x2+3x−5=0
Solution x2+3x=5 step 1
x2+3x+9=5+9 step 2
(x+3)2=14 step 3
x=−3±14−−√ step 4(1 point)
Huy is incorrect. He made a mistake in step 1 when he added a 5 to both sides. He should have only added a 5 to the left side of the equation.
Huy is incorrect. He made a mistake in step 4 when he solved the equation (x+3)2=14 for x.
Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.
Huy is correct. He has done a nice job of completing the square.
Answer:
Step-by-step explanation:
yes the answer is B
it should have been x+3=+-[tex]\sqrt{14}[/tex]
so x=-3+-[tex]\sqrt{14}[/tex]
hope my answer helps if it does please mark as brainliest
The true statement will be;
''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The quadratic equation is,
⇒ x² + 3x - 5 = 0
Now,
Huy is solving a quadratic equation by completing the square.
The steps are;
The quadratic equation is,
⇒ x² + 3x - 5 = 0
Solution; x²+3x=5 (step 1)
x²+3x+9 = 5+9 (step 2)
(x + 3)² = 14 (step 3)
x = - 3 ± √14 (step 4)
Clearly, In step 2 when add 9 then it not make the square form.
That is,
x² + 3x + 9 ≠ (x + 3)²
Thus, The true statement will be;
''Huy is incorrect. He made a mistake in step 2 of the solution when he added a 9 to both sides.''
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Distribute 5(3c-2r)
Answer:
15c-10r
Step-by-step explanation:
Combine like terms.
5*3c=15c
5*2r=10r
So we have 15c-10r