Using the normal distribution, it is found that the minimum average wait time is of 192 seconds.
------------------
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 185 seconds, thus [tex]\mu = 185[/tex].Standard deviation of 11 seconds, thus [tex]\sigma = 11[/tex].The top 25% is at least the 100 - 25 = 75th percentile, which is X when Z has a p-value of 0.75, so X when Z = 0.675.[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 185}{11}[/tex]
[tex]X - 185 = 11(0.675)[/tex]
[tex]X = 192[/tex]
The minimum wait time is of 192 seconds.
A similar problem is given at https://brainly.com/question/7001627
What is the area of the garden in Plan B? (Type the numeric answer only).
Answer:
241.5 ft^2
Step-by-step explanation:
First, find the area of the deck. A = LW. L = 20, W = 16.
20 x 16 = 320.
Now that we have found the area of the deck, let's find the area of the garden. A = [tex]r^{2} \pi[/tex]. r = 5.
A = (pi)5^2
A = 25(pi) pi = 3.14
A = 78.5
Since the deck will not cover the garden, we must subtract the area of the garden from the total area of the deck.
320 - 78.5 = 241.5
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half
Answer:
0.0625
Step-by-step explanation:
Data
P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2The probability of event A, given that event B has occurred is computed with the following equation:
P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]
Replacing with data:
P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625
Answer:5.17%
Step-by-step explanation:
What is the product?
pls help dis is timed :(
Answer: I think is c
Step-by-step explanation:
Help ASAP will give brainliest!!!!!
Answer:
A is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
No. of classmates who like salsa music = (56÷100)×75 = 42
No. of relatives who like salsa music = (80÷100)×60 =48
How many more relatives like salsa as compared to classmates = 48-42= 6
Find the indicated values g(t)=t^2-t and f(x)=1+x g(f(2)+3)
Answer:
g( f(2)+3) = 30
Step-by-step explanation:
step(i):-
Given function g(t)=t²-t and f(x)=1+x
given f(x)=1+x
f(2) = 1 + 2 =3
step(ii):-
g( f(2)+3) = g(3 + 3)
= g(6)
= (6)² - 6
= 36 -6
= 30
Conclusion:-
g( f(2)+3) = 30
Carlos' school is selling tickets to a spring musical. On the first day of ticket sales the school
sold 6 adult tickets and 12 student tickets for a total of $204. The school took in $79 on the
second day by selling 5 adult tickets and 3 student tickets. What is the price each of one adult
ticket and one student ticket?
Answer:
Adult ticket = $8
Student ticket = $13
Step-by-step explanation:
Hi, to answer this we have to write a system of equations (sales equations)
6x + 12y =204 (first day)
5x +3y =79 (second day)
Where x is the price of each adult ticket and y is the price of each student ticket.
If we multiply the second equation by 4 , and subtract the first equation to the second equation:
20x +12y =316
-
6x + 12y =204
___________
14x = 112
Solving for x:
x =112/14
x = 8
Substituting x=8 on any equation:
5x +3y =79
5(8)+3y =79
40+3y =79
3y =79-40
3y = 39
y =39/3
y = 13
Mary has postcards and stamps. The ratio of the number of postcards to the number of stamps she has is 2:9. If Mary has 36 stamps, how many postcards does Mary have?
Answer:
8
Step-by-step explanation:
2:9
9*4 = 36
2*4 = 8
pls help this is due tmr pls help:(
Answer:
The correct answer is 4 (0.72n)
Total notebook = 70
Total cost = 50.4
now
cost of one note book = total cost / total no notebook
= 50.4/70
= 0.72
Which formula could be used to find the volume of a cube with side length equal to s?
s cubed
(6) (s squared)
s squared
(6) (s cubed)
QUESTION 4
Answer:
s cubed
Step-by-step explanation:
bc volume is length times width times height so it would be s times s times s which is s cubed
Answer: the awnser is a the guy on top or bottem is corect!!!!!!!!!!!!!!!
Step-by-step explanation:
STAY SAFE OUT THERE PLEASENEEEDDD HHEELLPP NNOOWW. URGENTT giving 100 points and brainliest The mass of an empty jar is 470 g. 6 marbles are placed in the jar. The total mass of the jar and marbles is now 1.1 kg. Two of the marbles are removed. What is the mass of the jar and marbles now?
Answer:
890
Step-by-step explanation:
Well, first we should put 1.1 kg into grams (1 kg = 1000g)
1.1kg= 1100g
[tex]1100-470= 630[/tex] this is how much was added by the marbles
630/ # of marbles gives the mass of each marble
[tex]\frac{630}{6} = 105[/tex]
each marble has a mass of 105 g
1100- 2m(marble)=
1100-2*105
1100-210=
890
Answer:
890 grams
Step-by-step explanation:
Remember that one kilogram is equal to 1000 grams. Therefore, 1.1 kilograms is equal to 1,100 grams. (remember 0.1 means one tenth, and one tenth of 1000 is 100)
1,100 grams is the total measure of the jar with the marbles. Subtract the weight of the jar, 470 grams, to find the measure of the marbles.
1100 - 470 = 630
Now, we can divide 630 grams by the total number of marbles, 6, to find the weight of each marble.
630/6 = 105.
Therefore, each marble weighs 105 grams.
Now, we know that two marbles were removed from the jar that weighs 1100 grams.
Multiply 105 by 2 to find the number of grams that were taken out of the jar:
105*2 = 210
Now, we subtract 210 from 1100
1100 - 210 = 890 grams
Hope this helps :)
✐ is typing , , ,
any answer is appreciated (: ♥
And if it's correct will mark " brainliest "
keep in mind that it needs two answers for marking brainliest :)
↯
Answer:
13 ounces
Step-by-step explanation:
Since the package ended up costing $5.81, we subtract the starting cost of 6 ounces, which is $4.90.
We end up with $0.91. Since each additional ounce is $0.13, we divide 0.91 by 0.13.
This gives us seven, which is the amount of additional ounces. Since Mrs. Washington paid 4.90 for the first six ounces and then there were an additional 7 ounces, we add 6 plus 7.
The answer is 13 ounces. Hope this helps!
what is the equation of a line that passes through the points -2 -2 and has a slope of four
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 2, - 2) into the partial equation
- 2 = - 8 + c ⇒ c = - 2 + 8 = 6
y = 4x + 6 ← equation of line
Use the elimination method to solve the system of equations
Answer:
D
Step-by-step explanation:
2x + 3y = 18
3x - 3y = 12
the 3y and -3y cancel and you add the other like terms
5x = 30
x = 6
plug x back into any of the equations
2(6) + 3y = 18
12 + 3y = 18
3y = 6
y = 2
answer is (6,2)
Which of the following is a random sample?
Answer:
A.
Step-by-step explanation:
A. City voters were asked about candidates. That seems to be random.
B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.
C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.
D. An email survey was sent. Mostly people who own computers will respond. This is not random.
Answer: A.
What is the angle of fire in standard position on the unit circle in both degrees and radians?
Answer90
Step-by-step explanation:
Find the equation of the line that contains the point (−3,−10) and is parallel to the line 6x+5y=11. Write the equation in slope-intercept form, if possible.
Answer:
y = -1.2x - 13.6
Step-by-step explanation:
1. rearrange original question to find the gradient.
2. substitute gradient and points into y - y1 = m (x - x1)
Answer:
y = -1.2x - 13.6
Step-by-step explanation:
1. rearrange original question
2. substitute points into y - y1 = m (x - x1)
Please help quick!!!!!!!!!!!!1
Answer:
The mean is 6,082,560,000AtlasStep-by-step explanation:
If you add up all the numbers then divide it by the amount of numbers you added then you will get the mean. In this case, I added all the numbers then I divided that by 3.A reference book of maps is called an Atlas.Hope I helped!
a) write a formula for the perimeter p of the figure.
b) calculate the value of x if p=64
Answer:
[tex]x-2+x+10+x+11=64\\\\3x+19=64\\3x=64-19\\3x=45\\x=15\\[/tex]
help please, thank you
Answer:
.39-.23
=.16
that the answer
If f(x) = 3x + –, what is f(a+ 2)?
+
X
O A. 36(a)) +
5
f(a) + 2
O B. 3a+2+2
5
O C. 3(a + 2) +
Q + 2
Answer:
C
Step-by-step explanation:
i need help with both questions on the screen. if you can only answer one thats fine too!
Answer:
11. [tex]b = 30[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
Substitute
[tex]16^{2} + b^{2} = 34^{2}[/tex]
[tex]256 + b^2 = 1156[/tex]
[tex]b^2 = 1156-256\\b^2 = 900[/tex]
[tex]b = \sqrt{900}[/tex]
[tex]b = 30[/tex]
Your welcome and don't forget to say Thanks
Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.
Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Wht are LCM and GCF?The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.
Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.
Let the two numbers be x and y
Now, we know that,
LCM (a, b) × HCF (a, b) = a × b.
40 × 2 = xy
xy = 80
Therefore, the product of two number is 80.
Now, from the given options, the only pair having product 80 is 8 and 10.
Therefore, the numbers are 8 and 10.
Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Learn more about LCM and GCF, click;
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expand 3(t-7)
expand 2t(t-3)
expand -3s(t+5)
expand (3+x) (3-x)
expand (4x-7) (4x+7)
Answer:
3t-21
2t²-6t
-3st-15s
9-x²
16x²-49
Step-by-step explanation:
In general
A(B+C)=AB+AC
(A+B)(D+C)=AD+AC+BD+BC
(A+B)(A-B)=A²+AB-BA-B²=A²-B²
ANSWER:
1) 3(t-7)
= 3t-21
2) 2t(t-3)
= 2t^2-6t
3) -3s(t+5)
= -3st-15s
4) (3+x)(3-x)
= 9-3x+3x-x^2
5) (4x-7)(4x+7)
= 16x^2 -28x+ 28x-49
The shape has an area of 60 square inches. Find the value of x.
Answer:
depende de del grueso de la cometa
Step-by-step explanation:
Answer:
x= 8in
Step-by-step explanation:
area of kite = diagonal1*diagonal2/2
60. = 15 *x. /2
->x = 60*2/15=8in
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:
80 degrees
Step-by-step explanation:
180-100=80 degrees
Answer:
[tex]80 \: \: degrees[/tex]
Step-by-step explanation:
Angels in a straight line = 180°
Let the ACE angle be x
Given that
ACD angle =100°
[tex]100 + x = 180 \\ x = 180 - 100 \\ x = 80 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
plz plz i really need this will mark bianleast
Point Z is translated right 1, down 8.
Which is the coordinate pair for the translated point Z'?
(4, –1)
(1, 4)
(1, –4)
(–8, 1)
Answer:
(1, –4)
Step-by-step explanation:
Since, Z is translated right 1 and down 8, so x- coordinate would be 1 and y-coordinate would be - 4
Hence the coordinate pair for the translated point Z' would be (1, - 4).
What was the mean number of peas in a pod 2 4 5 6 6 7 8 10 14 18
Answer:
The mean is 7.5
Step-by-step explanation:
1.add all of the numbers together
2.Divide by 10 since you have 10 numbers to add
Hope this Helps!
A____ function is a function that can be expressed as the quotient of two polynomial functions
in which the denominator does not equal zero.
Answer:
Rational expression
Step-by-step explanation:
A rational expression is a quotient of two polynomials, where the polynomial in the denominator is not zero. Rational expressions can often be simplified by removing terms that can be factored out of the numerator and denominator. These can be either numbers or functions of x
A rational function is a function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero.
Given that,
An incomplete statement is given we have to determine what best suit the blank space given in the statement.
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
Here,
A function that can be expressed as the quotient of two polynomial functions in which the denominator does not equal zero is called a rational function.
Thus, the blanked statement is the definition of the rational function
Learn more about polynomial function here:
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What is the 10th of a quarter of 1600
Answer:
40
Step-by-step explanation:
A quarter of 1600: 400
A tenth of 400:40
The value of 10th of a quarter of 1600 is 40.
What is a quarter of a number?A quarter of the number is 1/4 times of the number i.e. times of the number.
Quarter of x= (1/4)*x= 0.25 * x
Given in the question that we have to calculate 10th of a quarter of 1600.
Before that we have to first calculate a quarter of 1600 which is calculated by using the above formula
quarter of 1600= (1/4)*1600= 0.25* 1600= 400
Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.
10th of 400= (1/10) * 400= 40
Therefore the value of 10th of a quarter of 1600 is 40.
Learn more about the quarter
here: https://brainly.com/question/382406
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Which graph represents the function g(x) = |x + 4| + 2?
On a coordinate plane, an absolute value graph has a vertex at (negative 4, 2).
On a coordinate plane, an absolute value graph has a vertex at (negative 2, 4).
On a coordinate plane, an absolute value graph has a vertex at (4, 2).
On a coordinate plane, an absolute value graph has a vertex at (2, 4).
Answer:
The following graph represents the function g(x)=|x+4| +2
1) On a coordinate plane, an absolute value graph has a vertex at (-4,2)
Step-by-step explanation:
A vertex can bed defined as a point where two lines meet. In a graph, a vertex can also be interpreted as the point where the direction of the line or curve change
The function is given by:
[tex]g(x)=|x+4|+2[/tex]
which is an absolute value function. We need to find the vertex of the graph.
The graph drawn is attached below.
We can see in the graph that at x = -4 and y = 2 , a point is formed where the straight line changes its direction.
So the vertex is formed at (-4,2)
Answer:
A. (-4,2)
Step-by-step explanation:
