Answer:
B. Observing that five out of the next ten customers at a hotdog stand order hot peppers given that the probability of ordering hot peppers is 0.18.
Step-by-step explanation:
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.
Option A:
No, since it is not the probability, or percentage of students that have ear pircings, it is the number, which can assume values larger than 1.
Option B:
Yes, since it is a probability, each customer is independent of other customers, and in each trial, there are only two possible outcomes. This is the correct answer.
Option C:
No, this is called inverse binomial, as we want to find the number of customers until one does something, not the probability of a number of customers doing something.
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
This question is incomplete, the complete question is;
On the occasion of its 10-year anniversary, AJ Inc. sells lucky draw tickets. If the customers are interested in the lucky draw contest, then they have to purchase a ticket for $15. The gift could be worth $115, $215, $315, or nothing. The probability of each event is given below. What is the value of the standard deviation
Probability 0.35 0.26 0.21 0.18
Amount gained $100 $200 $300 -$15
Option;
a) $11,143
b) $106
c) $10,200
d) $147
Answer:
the standard deviation is 106
Option b) $106 is the correct Answer
Step-by-step explanation:
Given the data in the question;
let the random variable be x
x = amount gained by customers in a lucky draw contest
so
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
so
x x² p(x) x.p(x) x².p(x)
$100 10,000 0.35 35 3,500
$200 40,000 0.26 52 10,400
$300 90,000 0.21 63 18,900
-$15 225 0.18 -2.7 40.5
TOTAL 147.3 32,840.5
Variance (x) = [∑(x² × P(x))] - [(∑(x × P(x))²]
we substitute;
Variance (x) = 32,840.5 - (147.3)²
Variance (x) = 32,840.5 - 21,697.29
Variance (x) = 11,143.21
Now Standard Deviation = √variance
so, S.D = √11,143.21
S.D = 105.56 ≈ 106
Therefore, the standard deviation is 106
Option b) $106 is the correct Answer
A directed line segment starts at (1.0) and ends at (4.6), Point R partitions the segment
in the ratio of 2 to 1. What are the coordinates of point R?
(PLEASE HELP ASAP)
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Answer:
(3.4)
Step-by-step explanation:
The length of the given segment is 4.6 -1.0 = 3.6. The first portion of the division will be 2/(2+1) = 2/3 of that length, or (2/3)(3.6) = 2.4.
Then the coordinates of point R are ...
(1.0) +(2.4) = (3.4)
__
Additional comment
We cannot tell if your coordinates are supposed to be Cartesian coordinates (1, 0) and (4, 6), or if they are points on a number line. As it happens, it makes no difference. The final answer is interpreted the same way the given coordinate points are interpreted: 3.4 on a number line or (3, 4) on a plane.
Printed circuit cards are placed in a functional test after being populated with semiconductor chips. A lot contains 140 cards, and 20 are selected without replacement for functional testing. a. If 20 cards are defective, what is the probability that at least 1 defective card is in the sample
Answer:
The probability that at least 1 defective card is in the sample is [tex]0.9644[/tex]
Step-by-step explanation:
Here
N = 140
and n = 20
We will use the below given formula
P(at least 1 defective) = 1 - P( 0 defectives)
P( 0 defectives) =
[tex]= \frac{^{20}C_0 * ^{120}C_{20}}{ ^{140}C_{20}}\\= 0.0356 1-0.0356 \\= 0.9644[/tex]
Write 0.6% as a fraction in simplest form.
Answer:
[tex]\frac{3}{5}[/tex]
Answer:
3/500
Step-by-step explanation:
Percent means
per hundred.
So we have the following.
0.6%=0.6 per hundred = 0.6/100
We next need to rewrite 0.6/100 so that is doesn't have a decimal in the numerator.
To do this, we multiply it by 10/10, which equals 1.
0.6/100 = 0.6/100 x 10/10 = 6/1000
(Note that we do not try to cancel when doing the multiplication.)
Our answer must be written in simplest form.
This fraction has a denominator of 1000.
So we can simplify it by focusing only on the factors 2 and 5.
In this case, we can divide both the numerator and denominator be 2.
6/1000 = 6 ÷ 2/1000 ÷ 2 = 3/500
We cannot use 2 or 5 to simplify further. So 3/500 is in simplest form.
So the answer is 3/500.
Michelle buys 4 theme park admission cards online and gifts them to
her nieces. What will be the charge for 5 such admission cards, if she spent
$748 on her purchase?
Answer:
$971(nine hundreds and seventy one dollars
The probability that an event will occur is . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
unlikely hope it helps
Step-by-step explanation:
write an equation in slope-intercept form for the line that has a slope of 4 and passes through the point (3,24)
Answer:
y = 4x + 12
Step-by-step explanation:
y = mx + b
'm' represents slope
'b' represents the y-intercept
use the slope and the point (3,24) as your x and y inputs to find 'b'
24 = 4(3) + b
24 = 12 + b
b = 12
y = 4x + 12
A cone has a volume of 8tt cubic inches, the height is 6 inches. What is the radius of the cone?
Answer:
48
Step-by-step explanation:
multiply 8x6 which is 48 .....8,16,24,32,40,48
please help!!!!!!!!!!!!(15 points)
Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Answer:
wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Round your answer to the nearest penny.
HERES THE CPI CHART FOR IT
Step-by-step explanation:
with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Round your answer to the nearest penny.
Question 2 Use the Consumer Price Index (CPI) value chart in Section 4 of your textbook to answer the following question:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been
write the congruence condition in symbolic form for each pair of triangles. If wrong answer I will report. If correct answer I will mark brainliest.
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Answer:
ΔXXX ≅ ΔXXX
Step-by-step explanation:
All vertices have the same designation, so the congruence statement is ...
ΔXXX ≅ ΔXXX
Suppose that a is an angle with sin A = 3/7 and a is not in the second quadrant. Compute the exact value of 10 a. You do not have to rationalize the denominator. Please answer it
Answer:
The exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
Step-by-step explanation:
Sine function is a bounded function between -1 and 1 and positive in the first and second quadrants. From statement we deduct that [tex]a[/tex] is in the first quadrant, that is, [tex]0^{\circ}< A < 90^{\circ}[/tex]. Then, we determine the angle by inverse trigonometric function:
[tex]A = \sin^{-1} \frac{3}{7}[/tex]
[tex]A \approx 25.377^{\circ}[/tex]
Then, the exact value of [tex]10\cdot a[/tex] is [tex]253.77^{\circ}[/tex].
7(11p + 3) -9 p equals
Answer: 68p+21
Step-by-step explanation:
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for hours. The Thompson family's sprinkler was used for hours. There was a combined total output of of water. What was the water output rate for each sprinkler if the sum of the two rates was per hour
This question s incomplete, the complete question is;
The Watson family and the Thompson family each used their sprinklers last summer. The Watson family's sprinkler was used for 15 hours. The Thompson family's sprinkler was used for 30 hours.
There was a combined total output of 1050 of water. What was the water output rate for each sprinkler if the sum of the two rates was 55L per hour
Answer:
The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
Step-by-step explanation:
Given the data in the question;
let water p rate for Watson family and the Thompson family sprinklers be represented by x and y respectively
so
x + y = 55 ----------------equ1
x = 55 - y ------------------qu2
also
15x + 30y = 1050
x + 2y = 70 --------------equ3
input equ2 into equ3
(55 - y) + 2y = 70
- y + 2y = 70 - 55
y = 15
input value of y into equ1
x + 15 = 55
x = 55 - 15
x = 40
Therefore, The Watson family sprinkler is 40 L/hr while Thompson family sprinkler is 15 L/hr
1
2
Janice has 3 cups of flour. She makes 5 equal-sized portions from the flour.
8
She uses one of the portions to make crepes. Each crepe uses 45 of a cup of flour.
How many crepes does Janice make?
OA
75
B.
15
c.
OD
3
Answer:
B
Step-by-step explanation:
The constants a, b, and c are positive. Solve the inequality for x. ax - b < c
Answer:
The solution of the given inequality [tex]x < \frac{c+ b}{a}[/tex]
Step-by-step explanation:
Explanation:-
Given that the constants a, b, and c are positive
Given inequality a x - b < c
Adding 'b' on both sides, we get
a x - b + b < c
⇒ a x < c + b
Dividing 'a' on both sides, we get
[tex]x < \frac{c+ b}{a}[/tex]
f - 3/4 = 1 1/2 please help !
Answer:
f = 2.25
Step-by-step explanation:
Given that,
[tex]f-\dfrac{3}{4}=1\dfrac{1}{2}\\\\f-\dfrac{3}{4}=\dfrac{3}{2}[/tex]
Adding 3/4 to both sides of the equation.
[tex]f-\dfrac{3}{4}+\dfrac{3}{4}=\dfrac{3}{2}+\dfrac{3}{4}\\\\f=\dfrac{6+3}{4}\\\\f=\dfrac{9}{4}\\\\f=2.25[/tex]
So, the value of f is equal to 2.25.
(x-2)^2-6(x-2)+5=0
Find a Value of X
Answer:
The values of x are:
[tex]x=3,\:x=7[/tex]
Step-by-step explanation:
Given the expression
[tex](x-2)^2-6(x-2)+5=0[/tex]
Expand (x - 2)² = x² -4x + 4
[tex]x^2-4x+4-6\left(x-2\right)+5=0[/tex]
Expand: -6(x - 2) = -6x + 12
[tex]x^2-4x+4-6x+12+5=0[/tex]
simplifying
[tex]x^2-10x+21=0[/tex]
Factor x² -10x + 21: (x - 3) (x - 7)
[tex]\left(x-3\right)\left(x-7\right)=0[/tex]
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
[tex]x-3=0\quad \mathrm{or}\quad \:x-7=0[/tex]
solving x - 3 = 0
x - 3 = 0
Adding 3 to both sides
[tex]x-3+3=0+3[/tex]
simplify
x = 3
solving x - 7 = 0
x - 7 = 0
Adding 7 to both sides
[tex]x-7+7=0+7[/tex]
Simplify
x = 7
Therefore, the values of x are:
[tex]x=3,\:x=7[/tex]
Write an equation in slope-intercept form for the line between (2,7) and (6, 19)
Answer:
y= 3x +1
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Gradient= [tex] \frac{y1 - y2}{x1 - x2} [/tex]
☆ (x1, y1) is the 1st coordinate and (x2, y2) is the 2nd coordinate
Using the formula above, slope of line
[tex] = \frac{19 - 7}{6 - 2} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation:
y= 3x +c
To find the value of c, substitute a pair of coordinates.
When x= 2, y= 7,
7= 3(2) +c
7= 6 +c
c= 7 -6
c= 1
Thus, the equation of the line is y= 3x +1.
The two triangles illustrate below are similar. What are the values of x and y?
Answer:
Answer is B is the right answer
A sporting goods store charges $27 for 3 basketballs and $90 for 5 boxes of sneakers. A coach orders 40 basketballs and 7 boxes of sneakers. How much will the coach pay for the basketballs and sneakers?
Answer:
Let's start with the total money needed for basketballsThe total money the coach will need for 40 basketballs will be 40 times price of one basketball.
Thus we need to find the price of one basketball.
$27 for 3 basketballs
Thus for one basketball, [tex]\frac{27}{3}[/tex] Which gives us,
'9'.
So for 40 basketballs 40 * $9
Which gives us $360.
Now let's find the total money needed for sneakers.The total money needed for sneakers is 7 times the cost of one sneaker.
So, we need to find the cost of 1 sneaker
which is [tex]\frac{90}{5}[/tex] which gives us,
$18.
Thus total amount of money needed for sneakers is 9 * $18 which gives us
$162
So total amount the coach has to pay is $360+$162 (total cost of basketballs + total cost of sneakers)
=$552
Therefore, total amount the coach has to pay is $552
Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?
Benjamin bought a 3-pound bag of flour for $6.95. What is the unit price per ounce of flour? (1 pound = 16 ounces)
Answer:
The unit price per ounce of flour is
Step-by-step explanation:
We can first change the 3 pound bag into ounces which is just 3x16=48 we can do this because 1 pound=16 ounces. Now we know there are 48 ounces so we divide 6.95/48
Which is .144791666...
Mike brought 480 crayons that came in packs of 15 how many packs of crayons did Mike buy
Answer:
32 packs of crayons
Step-by-step explanation:
480 divided by 15 equals 32.
At Silver Gym, membership is $25 per month, and personal training sessions are $30 each. At Fit Factor,
membership is $45 per month, and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer:
2
Step-by-step explanation:
y = mx + b
y = total cost of the gym
m = cost per personal session
x = number of sessions
b = cost of one month
Silver gym:
y = 30x + 25
Fit Factor:
y = 20x + 45
Set them Equal to each other:
30x + 25 = 20x + 45 (get Xs on one side by subtracting 20x)
10x + 25 = 45 (isolate x by subtracting 25 from both sides)
10x = 20 (divide both sides by 10)
x = 2 personal training sessions to make the cost equal
Ashley has 3/4 cups of sugar. She used 1/3 of the sugar she has to make holiday cookies for her family. How many cups of sugar did Ashley use to make the holiday cookies?
Complete the recursive formula of the arithmetic sequence-3,-1,1,3,
b(1)=
b(n) = b(n-1)+
Answer:
b(1) = -3
b(n) = b(n-1) + 2
Step-by-step explanation:
Notice that there is a common difference in the sequence : each term is the previous one PLUS 2. Then the common difference "d" is 2 making this sequence an arithmetic sequence
b(1) = -3
b(n) = b(n-1) + 2
Cuáles son las partes de un término algebraico
Answer:
coeficiente, variables, exponentes, y el signo.
28 = 7(n + 3) what does this mean
Answer:
I don't know the answer to this
please help out, tysm. need this asap. i’m gonna mark brainliest! thanks
Answer:
E and F
Step-by-step explanation:
✔️To eliminate the variable y, we can multiply the first equation, -x + 4y = 1 by 7 and the second equation, 8x - 7y = 42 by 4. This will leave us with the variable x alone to solve for.
✔️Alternatively, we may decide to eliminate the variable x first by multiplying the first equation, -x + 4y = 1 by 8. Both equations would be equivalent, thus when we can easily eliminate the variable x leaving us with variable y to solve for.
