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ZanzabumX [31]
3 years ago
9

The Orchard Cafe has found that about 3% of the diners who make reservations don't show up. If 83 reservations have been made, h

ow many diners can be expected to show up? Find the standard deviation of this distribution. (Round your answers to two decimal places.) μ = σ =
Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer:

\mu = 80.51\\\sigma = 1.56

Step-by-step explanation:

We are given the following information in the question:

Percentage of of the diners who make reservations don't show up = 3%

Number of reservations = 83

Thus, we are given a binomial distribution with n = 83 and p = 0.97

X\sim \text{ Binom}(p = 0.97, n = 83)

\mu = np = (83)(0.97) = 80.51

Around 81 people  can be expected to show up.

\sigma = \sqrt{np(1-p)} = \sqrt{(83)(0.97)(1-0.97)} = 1.5541 \approx 1.56

The standard deviation of this distribution is 1.56

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What conic section is drawn by the parametric equations x=csc t and y cot?
Vanyuwa [196]
If we take the square of x and square of y and then subtract them:
                         (csc t)²-(cot t)²=1                      ( this eq. gets from basic identity 
                               x²-y²=1......a                                               1+cot²x=csc²x)
  
 equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)

So, option D is correct
3 0
3 years ago
86 is 45% of what number
Alik [6]
Hello there! We are talking about 86 being part of a number, so we are looking for the whole. To find the number we are looking for, we can write and solve a proportion. Set it up like this:

86/x = 45/100

86 is 45% of a number. We know the part, so now we are looking for the whole. 45% is part of 100%, so we put that part together. Cross multiply the digits. 100 * 86 is 8,600. 45 * x is 45x. That simplifies to 8,600 = 45x. Now, divide each side by 45 to isolate the x. 45x/45 cancels out. 8,600/45 is 191.1111111 or 191 1/9 in fraction form. There. x = 191 1/9 86 is 45% or 191 1/9

Note: Or, if you have to round to the nearest whole number, the answer is 191, or if you have to round to the nearest tenth, the answer is 191.1. It all depends on if the answer needs to be rounded or exact.
4 0
3 years ago
Help me please??!!!
kaheart [24]

Answer:

its the second 1

Step-by-step explanation:

i had last week and got a 88.87%

6 0
3 years ago
The minute hand of a clock is 9.5cm long, How far does the tip of the hand travel in one day?
earnstyle [38]
The tip of the hand travels the circumference of a circle with radius (r) 9.5 cm every hour;
The formula for circumference of a circle (c) is:
c = πd = 2πr
So, for a circle with radius 9.5, the circumference is:
c = 2π(9.5)
= 19π cm
The tip travels 19π cm every hour, so in a day of 24 hours it will travel:
24 * 19π = 456π cm
(= 1432.566... ⇒ 1432.6 cm)

4 0
3 years ago
WILL GIVE BRAINLIEST HELP!!
Lera25 [3.4K]
Answer is : \sqrt[4]{5}

Explanation: 
\frac{ \sqrt[4]{400}}{ \sqrt[4]{5}} = \frac{ \sqrt[4]{4*5*5*2*2} }{\sqrt[4]{5}}

= \frac{\sqrt[4]{5*5*2*2*4}}{\sqrt[4]{5}} =  \sqrt[4]{5*2*2*4}

= \sqrt[4]{5*2*2*4} =  \sqrt[4]{80} 
= \sqrt[4]{2*2*2*2*5}
= \sqrt[4]{2^{4}} \sqrt[4]{5}
= \sqrt[4]{5}


5 0
3 years ago
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