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A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows. Round the standard deviation to three decimal places to work the problem.A) 0.7967
B) 0.3187
C) 0.2451
D) 0.754

Answers

Answer 1

Answer:

The probability that there will be fewer than 20 no-shows will be "0.2451".

According to the question,

n = 150
p = 155 or 0.15
q = 1 - p

= 1 - 0.15

= 0.85

The Mean will be:

→ $\mu = np$

By substituting the values, we get

$= 150* 0.15$

$= 22.5$

Standard deviation will be;

→ $\sigma = √(npq)$

$= √(150* 0.15* 0.85)$

$= 4.373$

By using the normal distribution to approximate the binomial distribution, we get

→ $P (X < 20) = P(X < 19.5)$

$= P((X-\mu)/(\sigma) < (19.5-22.5)/(4.373) )$

$= P (Z < -0.69)$

$= 0.2451$

Thus the above answer i.e., option C) is correct.

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Answer 2

Answer:

Answer: C

Step-by-step explanation:

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I am a 3-digit number. If you switch my first and last digits, I decrease by 297. Also, mymiddle digit is 6 less than my first digit, which is 2 less than 2 times my last digit. What
number am I?

Answers

Answer:

Step-by-step explanation:

Let the 3-digit number is abc = 100a + 10b + c.

We have:

100a + 10b + c - 100c - 10b - a = 297
b = a - 6
a = 2c - 2

Simplify the first equation:

99a - 99c = 297
a - c = 3
a = c + 3

Solve for c by substitution:

2c - 2 = c + 3
2c - c = 3 + 2
c = 5

Find a:

a = 3 + 5 = 8

Find b:

b = 8 - 2 = 6

The number is:

a certian glacier moves at a rate of 28 inches a day. find the distance in feet the glacier moves in a year

Answers

10220 is the answer 28 times 365 hope i helped

10,220 is the answer because if you multiply 28 by 365 day in a year it equal that

What is the solution to 7.5d=2.5d

Answers

Answer:

d = 0

Step-by-step explanation:

To find the solution to the given equation, we must solve for d in the equation.

7.5d = 2.5d

Subtract 2.5d from both sides.

5d = 0

Divide both sides by 5.

d = 0

So the solution to the equation would be d = 0.

I hope this helps. Happy studying.

Final answer:

The provided equation 7.5d=2.5d seems to be flawed as these quantities cannot be equal unless the variable 'd' is zero. Please double-check the equation.

Explanation:

The equation given is 7.5d=2.5d. However, this equation cannot be correct as 7.5d and 2.5d cannot be equal unless the variable 'd' equals zero. It seems that there's a typo or mistake in the provided equation. The solution could not be found as the equation seems to be flawed. Please double-check the equation and make sure the coefficients (the numbers before the 'd') and the variable 'd' are correct.

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Evaluate the limit, if it exists.
lim x2−11x+30x−5
x→5

Answers

Answer:

f(5) = 115

Given:

f(x) = x² - 11x + 30x -5

x⇒5

So,

f(x) = x² - 11x + 30x -5

f(5) = 5² - 11(5) + 30(5) -5

f(5) = 25 - 55 + 150 - 5

f(5) = 115

Estimate the product 4x279

Answers

Answer:

116

Step-by-step explanation:

es 116 porque lo cheque

If a² + b² = c², then which of the following are also true? Select all that apply.Options
a² - b² = c²
b² + a² = c²
c² + a² = b²
c² - a² = b²
c² - b² = a²

Answers

Answer:

b² + a² = c²

c² - b² = a²

c² - a² = b²

Step-by-step explanation:

This is because its only addition so 2+2=4 no matter how you turn it around. And 4-2=2 is 2 no matter what.

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Answer the following true or false. Justify your answer.(a) If A is a subset of B, and x∈B, then x∈A.(b) The set {(x,y) ∈ R2 | x > 0 and x < 0} is empty.(c) If A and B are square matrices, then AB is also square.(d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S.(e) For a matrix A, we define A^2 = AA.