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.
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Need help finding this answer −9 − −8 =
Answer:
-1
Step-by-step explanation:
-9--8
remember that 2 negatives= a positive thus...
-9--8
is the same as
-9+8
which is
=-1
Hope this helped you- have a good day bro cya)
Round 0.1347 to the nearest tenth.
Answer:
0.1
Step-by-step explanation:
Tenths is the first place to the right of the decimal point
Since the next place over is 3
round down to 0.1
Original remains fossils have been protected from decay by amber, permafrost, oil, and _____.
sediment
wood
weather
coal
Answer:As I know the answer is coal
Step-by-step explanation:
Please votes me 5 stars,1 hearts and mark as Brainliest for me .Thanks
6x < 36
what is the right answer
X< or >6
Answer:
X < 6
Step-by-step explanation:
Since 6 times 6 = 36, then for this equation to be true, x would have to be less than 6.
What is the solution t
x-8 > -3
Answer:
x>5
Step-by-step explanation:
If you plug in 5, 5-8>-3 that is -3>-3 so you know that x has to be greater than 5.
*) Match each description to the term that it represents.
the number of words made
3t
the number of tiles not used
10w
) the points earned from words made
1) the points taken away from tiles not used
W
Answer:
its 10w-3t+5
Step-by-step explanation:
24. Find the perimeter and area of the triangle below.
базь
2a3b
4ab
Answer:
Answer to the first part: 8a³b + 4ab
Step-by-step explanation:
Perimeter = distance around the three sides
P = 6a³b + 2a³b + 4ab
P = (6a³b + 2a³b) + 4ab add like terms
P = 8a³b +4ab Simply
The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Now, By Using Pythagoras theorem to find the base of the triangle as;
a² = 6² - 3²
a ² = 27
a = √27
And, b² = 9² - 3²
b² = 72
b = √72
Hence, Base = √27 + √72
= 13.68
So, We get;
Area = 0.5 x 13.68 x 3
Area = 20.52 cm²
And, The value of perimeter is,
Perimeter = 9 + 6 + 13.68
= 28.68
Thus, The value of the perimeter and area of the triangle are,
20.52 cm² and 28.68 cm
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1 point
3. Trout is sold at Kroger in four different quantities, each with different
prices. What is the best price per pound (lb.)? *
$1.85 for 14 lb.
$2.95 for 16 lb.
$3.05 for 22 lb.
$2.50 for 24 lb.
Answer:
$2.50 for 24 lb
Step-by-step explanation:
only 10 cents ish per pound
The cost of 6 sandwiches and 4 drinks is $53. The cost of 4 sandwiches and 6 drinks is $47.
How much does one sandwich cost?
A. $5.30
B. $3.50
C. $4.50
D. $6.50
Answer:
look at the photo..........
Someone please help me with this.
Answer:
Step-by-step explanation:
I know this is rather sneaky, but on a multiple choice question on a quiz, you need all the help you can get. I'm not saying this is a quiz, by the way. It doesn't say that it is anywhere.
Look carefully at the first three statements. Is there an angle mentioned at all? There isn't, is there? That being the case (and since nothing is marked as a right angle), the only possible answer is SSS which D.
Answer:
D
Step-by-step explanation:
There are not any angles shown, and the triangle is not a right triangle, so it is SSS
Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is __ Please help!!!
Answer:
y = 1/2x - 1
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - 2 / -2 - 6
-4 / -8
= 1/2
y = 1/2x + b
-2 = 1/2(-2) + b
-2 = -1 + b
-1 = b
Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?
The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45
The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.
Δy = y2 - y1where:
y1 = 5(-2)³y1 = -40and
y2 = 5(1)³y2 = 5Therefore,
Δy = y2 - y1Δy = 5 - (-40)Δy = 45.
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A parallel line is a _____ of the original line
rotation
translation
Plz help I need help
Alita wants only one green pepper. the price is three for $1.48 how much will one pepper cost?
Answer:
$0.493
Step-by-step explanation:
1.48 divided by 3
What is the value of k?
2k+9=7−3k
k=−2
k=−0.4
k = 2
k = 3.2
Answer:
the is k=-0.4
Step-by-step explanation:
sorry if I did it wrong
Answer:
[tex]k = -\frac{2}{5}[/tex]
I can't see the answer choices. Sorry, if I'm wrong.
The next model of a sports car will cost 6.3% less than the current model. The current model costs $45,000. How much will the price decrease in dollars? What will be the price of the next model?
Answer:fevagria un 30% de dinero
Step-by-step explanation:
18. Dylan's mother tells Dylan he must spend
less time playing electronic games. On
the weekends he spends 9 1/2 hours playing
electronic games. If he plays between 13 and
19 hours each week, how many hours does
he play games on weekdays?
Answer:
Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.
Step-by-step explanation:
(least estimated amount of hours played each week) 13-9.5=3.5
(highest estimated amount of hours played each week)19-9.5=9.5
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<3Miss Hawaii<3
Oliver incorrectly states that the expression tan(3pi/4 + x) can be simplified as -1. Review Oliver’s work. Which statement explains why Oliver is incorrect?
Keyword gibberish:
The expression does not simplify not have a value if simplified to not equivalent to not
tan startfraction 3 pi over 4 endfraction + x
We want to see where Oliver is making a mistake in his claim.
The correct option is the first one, the simplification on the last step is wrong.
We start with the expression:
[tex]tan( \frac{3*pi}{4} + x)[/tex]
Now, by looking at Olvier's work, we can see that on the last step he writes:
[tex]\frac{-1 + tan(x)}{1 + tan(x)} = -1[/tex]
This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:
[tex]\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1[/tex]
Then the correct option is the first option.
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A bottle has 1110 ounce of cough syrup. Each does is 35 of an ounce. How many does are in a bottle of cough syrup?
Please help !!!! TIA
Draw Venn diagrams to show the prime factors for each of the following sets of three numbers.
a. 12, 14, 70
b. 6, 7, 8
Answer:
See attached file.
Step-by-step explanation:
Hiiii again, How should this model be completed?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
You have the relation ...
(left side number) × (top number) = (number in the area box)
This means ...
(top number) = (number in the area box)/(left side number)
top number = 680/17 = 40 . . . number in the quotient box
and ...
17 × 8 = number in the area box = 136
__
The number in the right-side box is the remainder, the difference between the dividend 820 and the sum of the numbers in the other two area boxes.
820 -680 -136 = 4 . . . . number in the right-side box
Let a, b, and c be real numbers where a . b*C+0. Which of the following functions could represent the graph
below?
ASAP PLS
Answer:
Step-by-step explanation:
4. What is the mode of the data set below? (1 point) 0, 1, 1, 0, 2, 3, 2, 1, 0, 4, 1, 1
What is an equation of the line that passes through the point (−4,5) and is perpendicular to the line 4x+y=7
Answer:
[tex]y = \frac{1}{4} x + 6[/tex]
Step-by-step explanation:
rewrite the original equation
[tex]4x + y = 7 \\ y = - 4x + 7[/tex]
perpendicular line has a negative reciprocal slope. I will use this slope and substitute the points to find our y-intercept
[tex]5 = \frac{1}{4} ( - 4) + b \\ 5 = - 1 + b \\ b = 6[/tex]
please help me with my homework
Answer:
steps below
Step-by-step explanation:
5-1) Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)
5-2) scale factor = A'B' / AB = 6/4 = 1.5
5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.
What is the common ratio between
1,-5, 25, -125
Answer:
1/5
Step-by-step explanation:
hope this helps!
Please help- Precalculus
Step-by-step explanation:
(a) f (g (- 5)
→ f (-5)g
= - 5fg
(b) (g o f ) (4)
Move 4 left to the g o f
= 4gof
Answer:-5fg, and 20g
Step-by-step explanation:
I’m only in eighth grade but I’ma try
Re-order terms so constants are on the left
((−5))
(−5)
Eliminate redundant parentheses
there are none
Re-order terms so constants are on the left
-5fg
Re-order terms so constants are on the left
(5G)(4)
Eliminate redundant parentheses
5g(4)
Multiply the numbers
20g
7 7/15 Write in decimal to the nearest hundredths 7 7 over 15
Answer:
.47 because 7/15 is 0.466
Step-by-step explanation:
The solution to 3(x-8)+4x=8x+4
Answer: x = -28
Step-by-step explanation:
1) Distribute
3(x-8)+4x=8x+4
3x-24+4x=8x+4
2) Combine like terms
7x - 24 = 8x + 4
3) Move x(subtract 7x from both sides)
-24 = x + 4
4) Subtract 4 from both sides.
-28 = x
Hope it helps :)
The simplified solution of the given expression is x = -28.
Given that, to determine the simplified solution of the expression 3(x-8)+4x=8x+4
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
3(x-8)+4x=8x+4
3x - 24 + 4x - 8x = 4
-x = 4 + 24
-x = 28
Thus, the simplified solution of the given expression is x = -28.
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