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
help please! if correct i will give brainley
Answer:
The scale factor is 1.5! I hope this helps!
Answer: 1.5
Each measurement:
12/8 = 1.5
9/6 = 1.5
15/10 = 1.5
prove cos 2 theta - cos 4 theta + cos 6 theta - cos 12 theta = 4 sin 3 theta sin 5 theta cos 4 theta
Answer:
sorry need lng po
Step-by-step explanation:
pa brainlies
Solve equation for 3(2x - 5) - (2x - 5) = 6(4x + 5)
Answer:
the answer is negative two / x= -2
_________
[tex] \: [/tex]
[tex] \rm3(2x - 5) - (2x - 5 ) = 6(4x + 5)[/tex]
[tex] \rm6x - 15 - 2x - 5 = 24x + 30[/tex]
[tex] \rm4x - 20 = 24x + 30[/tex]
[tex] \rm4x - 24x = 30 + 20[/tex]
[tex] \rm - 20x = 50[/tex]
[tex] \rm \: x = \frac{50}{ - 20} [/tex]
[tex] \rm \: x = \boxed{ - 2 \frac{1}{2} }[/tex]
Use the substitution method to solve the system.
2x + 8y = 4
x = -4y - 2
Answer:
no solution
Step-by-step explanation:
2x + 8y = 4
x = -4y - 2
Divide both sides of the first equation by 2.
x + 4y = 2
x = -4y - 2
Substitute -4y - 2 for x in the first equation.
-4y - 2 + 4y = 2
0 - 2 = 2
0 = 4
Since after doing legal steps, we get a false statement, 0 = 4, that means there is no solution.
f(x)=2(x-5)(x+7) What is f(-7)
Answer:
f(- 7) = 0
Step-by-step explanation:
Substitute x = - 7 into f(x) , that is
f(- 7) = 2(- 7 - 5)(- 7 + 7)
= 2 × - 12 × 0
= - 24 × 0
= 0
subtract 2 3/4 - 5/16
Answer:
2 7/16
Step-by-step explanation:
2 3/4 - 5/16 → 11/4 - 5/16 (convert 2 3/4 into an improper or top-heavy fraction)
11/4 - 5/16 → 44/16 - 5/16 (multiply 11/4 by 4/4 to make a common denominator)
44/16 - 5/16 = 39/16 (Subtract 44 - 5 = 39)
Simplify (convert back into mixed number)
39/16 = 2 7/16
Hope this helps!
Pls help I’ll brainlest
The cat is not hungry, or doesn't like the can of tuna food, which is why they refused to eat it when it was given to them.
Try to give the cat the food again and see their reaction, if that fails, try to give the cat other foods and note the reaction to determine if the cat just doesn't like the tuna in a can or just wasn't hungry at the moment.
Which is an equation of the line through the origin and (3,4)? Please help
A. y = 4/3x
B. y = 3/4x
C. y = 4x
D. y = 3x
A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece. Find the length of the shorter piece of wire
Answer:
shorter piece = 6. longer piece = 12
Step-by-step explanation:
short piece = s
long piece = l
l+s= 18
l= 6+s , substitute
6+s+s = 18
6+2s= 18
2s= 18-6
2s= 12
s=12/2
s= 6= shorter piece
l= 6+s
l= 6+6= 12 = longer piece
What is the factored form of x^2-9x+20
Answer:
(
−
5
)
(
−
4
)
Step-by-step explanation:
Not 100 percent sure
Simplify 11y^2+10y-9y^2-8y+5y^0
Answer:
2y^2 + 2y + 5
Step-by-step explanation:
Hope this helps :)
One number is 8 more than another number, and their sum is 16. What are the 2 numbers?
Answer:
x = 12
y = 4
Step-by-step explanation:
x + y = 16
x - y = 8
y + 8 = x
Replace x with y + 8 in the new equation
8 + 2y = 16 ----> we can minus 8 on both sides
2y = 8 -----> divide both sides by 2
y = 4
Now for the x value
x + 4 = 16 ----> minus 4 on both sides
x = 12
Answer:
12 and 4
Step-by-step explanation:
5m > 45 I need help
Answer:
m = 10
5 x 10 = 50
50 > 45
Step-by-step explanation:
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of
0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the
probability of obtaining a reading greater than 2.011'C.
P(Z > 2.011)
ery
Answer:
0 degree
Step-by-step explanation:
you know all the time the answer of the probality is 0 rarely any other dijit
Which number line model represents the expression-1/2+5/4
Answer:
B
Step-by-step explanation:
I dont understand Analyze and solve percent problems
Answer:
okay, well, is there any link u wanna post for us to help u? maybe we can explain it?
Step-by-step explanation:
help for brainliest also 30 points
[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)
[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]
[tex]\\ \sf\longmapsto 6x-4x=56[/tex]
[tex]\\ \sf\longmapsto 2x=56[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
help me asap!!!!!!!!
Answer:
Answer A
Step-by-step explanation:
Alt Interior angles make two angles parallel
A student bought 44 pencils for school. if he sharpened 8 of the pencils before school, what is his ratio of unsharpened pencils to sharpened pencils
Answer:
8:36
Step-by-step explanation:
if you sharpened 8 pencils out of 44 that means 8 pencils are sharpened and the other 36 aren't
can you find the lengths and area and type the correct code? Please remember to type in all caps with no space
Answer:
EGFB
Step-by-step explanation:
To find the lengths of PQ and RS, we can use the Pythagorean Theorem, becasue both triangles have right angles. Base x height equals the area of the rectangle, and base x height divided by 2 gets us the height of the triangle. Thus:
1. 233 meters
2. 21, 840 square meters
3. 241.87 meters
4. 12, 600 meters
Hope this helps.
Ed bought cupcakes for his sister's birthday party.42 cupcakes had sprinkles on top. The other 33 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?
Answer:50000000000000000000000000000000000000000000000000000
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that individuals predisposed to allergies are chosen at random and given allergy vaccinations.
a. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Find a polynomial f(x) of degree 4 that has the following zeros. 7, −3, 0, −2
Answer:
x^4 - 2x^3 - 29x^2 - 42x
Step-by-step explanation:
Equal all the zeros to x then move them over.
x=7,x=-3,x=0,x=-2
x-7,x+3,x+0,x+2
Then multiply each factor
(x-7)(x+3)(x)(x+2)
x^4 - 2x^3 - 29x^2 - 42x
simplify 4h^j^-5k^7
Answer:
Answer in picture below
59+2=?
help i need somebody help not just anybody
Answer:
59+2=61
Step-by-step explanation:
Need help with this one please explain how you got it
Answer:
B) 40 feet
Step-by-step explanation:
Essentially, there are two similar right triangles in the given problem.
base_L = Base [larger triangle] = 60 ft
base_S = Base [smaller triangle] = 6 ft
x = leg (larger triangle)
y = leg (smaller triangle) = 4 ft
Using the given proportion to solve for the value of x:
[tex]\frac{x}{base_{_L} } = \frac{y}{base_{_S} }[/tex]
[tex]\frac{x}{60ft} = \frac{4 ft}{6 ft}[/tex]
6x = 240
Divide both sides by 6:
6x/6 = 240/6
x = 40
The price of an item has dropped to $81 today. Yesterday it was $135. Find the percentage decrease.
Answer: 60%
Step-by-step explanation:
81/135= 60/100
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of
four kinds of noodles, one of four kinds of broth, and one of four spices. How many different
combinations of ingredients could the chef put into the soup?
A. 20
B.256
C. 1,024
D. 3,125
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of
four kinds of noodles, one of four kinds of broth, and one of four spices. How many different
combinations of ingredients could the chef put into the soup?
A. 20B. 256
C. 1,024
D. 3,125
Step-by-step explanation:
4 kinds of meats
4 kinds of vegetables
4 kinds of noodles
4 kinds of broth
4 kinds of spices
In a total of: 20 different combinations of ingredients.
I hope it helps!The value of different combinations of ingredients could the chef put into the soup is,
⇒ 20
What is Combination?A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Given that;
A chef will make a soup with five ingredients: one of four meats, one of four vegetables, one of four kinds of noodles, one of four kinds of broth, and one of four spices.
Hence, The value of different combinations of ingredients could the chef put into the soup is,
⇒ ⁴C₁ + ⁴C₁ + ⁴C₁ + ⁴C1
⇒ 4 + 4 + 4 + 4 + 4
⇒ 20
Thus, The value of different combinations of ingredients could the chef put into the soup is,
⇒ 20
Learn more about the combination visit:
brainly.com/question/28065038
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Maths Question - Topic Pythagoras
Please answer the question. Awarding 20 points
Answer:
h= 17.67 cm
Step-by-step explanation:
We have,
h=x
b=16 cm
p=7.5cm
Using Pythagoras Theorem,
h^2=p^2+b^2
h=√(7.5^2+16^2)
h=√(56.25+256)
h=√312.25
h=17.6705970471 cm
81 x
3y + 72x
2y
2 + 16xy
3
Answer:
Step 1 :Equation at the end of step 1
((81•(x4))-((72•(x2))•(y2)))+24y4
Step 2 :
Equation at the end of step 2 :
((81 • (x4)) - ((23•32x2) • y2)) + 24y4
Step 3 :
Equation at the end of step 3 :
(34x4 - (23•32x2y2)) + 24y4
Step 4 :Trying to factor a multi variable polynomial
4.1 Factoring 81x4 - 72x2y2 + 16y4
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (9x2 - 4y2)•(9x2 - 4y2)
Detecting a perfect square :
4.2 81x4 -72x2y2 +16y4 is a perfect square
It factors into (9x2-4y2)•(9x2-4y2)
which is another way of writing (9x2-4y2)2
How to recognize a perfect square trinomial:
• It has three terms
• Two of its terms are perfect squares themselves
• The remaining term is twice the product of the square roots of the other two terms
Trying to factor as a Difference of Squares:
4.3 Factoring: 9x2-4y2
Put the exponent aside, try to factor 9x2-4y2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : 4 is the square of 2
Check : x2 is the square of x1
Check : y2 is the square of y1
Factorization is : (3x + 2y) • (3x - 2y)
Raise to the exponent which was put aside
Factorization becomes : (3x + 2y)2 • (3x - 2y)2
Final result :
(3x + 2y)2 • (3x - 2y)2
Step-by-step explanation:
Answer:
81x+16y
should be the correct one
