Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution 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]
It 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. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
15% do not show up, so 100 - 15 = 85% show up, which means that [tex]p = 0.85[/tex].300 tickets are sold, hence [tex]n = 300[/tex].The mean and the standard deviation are given by:
[tex]\mu = np = 300(0.85) = 255[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185[/tex]
The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is [tex]P(X \leq 270 + 0.5) = P(X \leq 270.5)[/tex], which is the p-value of Z when X = 270.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{270.5 - 255}{6.185}[/tex]
[tex]Z = 2.51[/tex]
[tex]Z = 2.51[/tex] has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at https://brainly.com/question/24261244
no link or bot please right
Step-by-step explanation:
Answer in the picture above
And at the side 2 laws are mentioned
Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3
Answer:
point-slope form: y - 0 = ½(x - 3)
Step-by-step explanation:
Given the slope, m = ½, and the x-intercept, (3, 0):
We can substitute these values into the point-slope form:
y - y1 = m(x - x1)
y - 0 = ½(x - 3) ← This is the point-slope form.
If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:
Distribute ½ into the parenthesis:
y - 0 = ½(x - 3)
y = ½x - 3/2 (this is the slope-intercept form).
What is the alibraic equation to 32 ÷ 1.60
i need help asap if u will i will give 100 points to do asap
Answer:
The answer is 20
Answer:
19⋅2(3 third power)/5 =30 5/2 =30.4
Step-by-step explanation:
If 200 kids went to the zoo and only 10 came back how many got lost?
Answer:
200- 10 = 190
so, 190 kids came back..
Step-by-step explanation:
brainliest plz
Answer: 190
Step-by-step explanation:
200-10=190 right? brainiest please
Which two integers is -1 2/3 in between?
-2 and -1
-1 and 0
0 and 1
1 and 2
Can yall please help me with this I am helping my brother I just need the answers lol.
Answer:
hope it helps
Step-by-step explanation:
4. 1/3
5. 1/3
6. 3/4
7. 1/4
8. 1/2
9. 3/7
10. 2/7
11. 3/5
12. 2/3
5 1/2 ÷3/4 write it in fraction form
The Answer:
Simplified 7 1/3
Improper 22/3
Answer:
[tex]5 \frac{1}{2} \div \frac{3}{4} = \frac{22}{3} [/tex]
Step-by-step explanation:
[tex]5 \frac{1}{2} \div \frac{3}{4} \\ \\ \\ \frac{11}{2} \div \frac{3}{4} \\ \\ \frac{11}{2} \times \frac{4}{3} \\ \\ \frac{11}{1} \times \frac{2}{3} \\ \\ \\ \frac{11 \times 2}{1 \times 3} = \frac{22}{3} [/tex]
I hope I helped you^_^
3
Select the correct answer.
Jenny is tracking the monthly sales totals for her boutique. The given plecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
(4,000(1.1)",
0 < I<3
1001 + 5,024,
3 < I<6
-12 + 5 + 5,630, 6
What were the boutique's monthly sales when Jenny first began tracking the data?
ОА.
$5,616
B.
$4,000
Ос.
$5,324
OD
$4,400
Reset
Next
Answer:
B. $4,000.
Step-by-step explanation:
A parallel line is a _____ of the original line
rotation
translation
A store is having a 20% off sale on coats. What will the sale price be for a coat that originally cost $248
Please help guys this is hard for my 3rd grader Brain
Answer:
Add/multiply the exponents first.
Step-by-step explanation:
How u do this djiejejeoeowoekrkk
What is the solution to the equation 3 − 5 + 10 = 36
Answer:
False (no solution)
Step-by-step explanation:
What is the solution to the equation 3 − 5 + 10 = 36?
3 − 5 + 10 = 36
8 = 36
it's false
Which side in the figure on the right corresponds to segment QS?
What is the scale factor?
See the picture
Please help
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELPS ASAP PLS AND THANK U
Answer:
D)
Step-by-step explanation:
y = 12x.
A) x=8, so that y = 12(8) = 96. It's on the line
B) x = 10, so that y = 12(10) = 120. It's on the line
C) x = 15, so that y = 15(12) = 180. It's on the line
D) x = 18, so that y = 18(12) = 216, not equal to 206. So, the point is not on the line.
thanks for the answer
Answer:
there's no questions haha, ty sa points
Answer:can you plz give us the question
Step-by-step explanation:
plz mark brainliest i need 5 of them
Which table shows a proportional relationship between x and y?
A.
x y
2 4
3 6
4 9
B.
x y
3 4
9 16
15 20
C.
x y
4 12
5 15
6 18
D.
x y
1 4
2 8
3 15
Answer:
c is the answer
Step-by-step explanation:
2) A pool is being filled with a hose. The equation y=12x represents the relationship between
the number of gallons of water in the pool (y) and the number of minutes the water runs (X). If
this relationship is represented on a graph, which ordered pair would not lie on the line?
NEED HELP ASAP PLS AND THANK YOU SO MUCH
Answer:
d) (18, 206)Step-by-step explanation:
According to the given relationship, we have:
y/x = 12Use the ordered pairs to find same ratio and compare:
a) 96/8 = 12b) 120/10 = 12c) 180/15 = 12d) 206/18 = 11.44 ≠ 12Type the missing number in this sequence:
16, 7, __, -11, -20
-2
The difference between 16 and 7 is 9 and the difference between-11 and -20 is 9 as well meaning that the numbers go down in 9
therefore 7-9 is -2
Hope this helped you- have a good day bro cya)
The manager of the school bookstore ordered 180 boxes of pencils. Based on the average daily use, she knows that the pencils will last about 30 days. Which linear equation represents the situation?
How many boxes of pencils should the manager expect to have after 20 days?
A. y = - 6x + 180; 120 boxes
B. y = - 6x + 180; 60 boxes
C. y = 6x + 180; 120 boxes
D. y = 6x - 180; 60 boxes
Will give 26 points!!
Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9
Answer:
5 equation matches the table
Factorise fully
8+4g
Answer:
4(2+g)
Step-by-step explanation:
8+4g
Rewriting
4*2 + 4*g
Factor out the 4
4(2+g)
Need help, look at picture
The specifications for the dimensions of a new cardboard container are shown. If the volume of the container is modeled by V(h) = 2h^3 - 9h^2 + 4h and it will hold 45 cubic inches of merchandise, what are the containers dimensions?
Solving a cubic equation, it is found that the dimensions of the container are of 1 inch, 9 inches and 5 inches.
The volume of the cubic container is given by the following equation:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
Since it holds 45 cubic inches of merchandise, we have that [tex]V(h) = 45[/tex], then:
[tex]V(h) = 2h^3 - 9h^2 + 4h[/tex]
[tex]45 = 2h^3 - 9h^2 + 4h[/tex]
[tex]2h^3 - 9h^2 + 4h - 45 = 0[/tex]
Using a cubic equation calculator, the real solution is [tex]h = 5[/tex], thus, the dimensions are:
[tex]h = 5[/tex]
[tex]h - 4 = 5 - 4 = 1[/tex]
[tex]2h - 1 = 2(5) - 1 = 10 - 1 = 9[/tex]
The dimensions of the container are of 1 inch, 9 inches and 5 inches.
A similar problem is given at https://brainly.com/question/16606259
Write the sides of GHI in order from shortest to longest
Answer:
IH, GH, IG
Step-by-step explanation:
We will use this key rule: The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
The angle G is 59 degrees, H is 61 degrees and I is 60 degrees.
The smallest angle is 59 degrees, so the shortest side is the one opposite to that angle, which is side IH.
The largest angle is 61 degrees, so the longest side is the side opposite to that angle, which is side IG.
The side in-between these two is side GH, which is opposite to the 60 degree angle.
What is the mean of the frequency distribution?
33
Baseball bat length
f
27
2
28
4
29
3
31
5
16
30.3
30.7
29.4
29.6
Answer:
33
Step-by-step explanation:
12
100 Points. Help solve. The sides are X, y, and 8. The reference angle is 60 degrees. Thanks
Step-by-step explanation:
y=8tan60=8√3
x=8/cos60 = 8 × 2 =16
three employees each clocked a different number of hours worked this week.
Which employee has the highest earnings per hour?
Answer:
?
Step-by-step explanation:
There is missing information. Ask this question again but with a picture showing how much the 3 employees worked/how much they each get per hour and I'll be glad to help.
find the value of x and y
Answer:
x = 8, y = 27
Step-by-step explanation:
Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.
Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.
(2y + 24) + (3y + 21) = 180
That's the same as 2y + 24 + 3y + 21 = 180
Simplify to 5y + 45 = 180
Subtract 45 from both sides
5y = 135
y = 27
(16x - 26) + (9x + 6) = 180
16x - 26 + 9x + 6 = 180
25x - 20 = 180
25x = 200
x = 8
The graph of a proportional relationship passes through the point (5, 2) .
What is the constant of proportionality of the relationship?
5
2
25
I don't know.
Well, 5 is like the point where it is, and 2 is the constant of proportionality.
Answer:
0.4
Step-by-step explanation:
2= slope *5 ,slope = 0.4