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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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3 years ago
A student randomly guesses at 10 multiple choice questions. Each question has four possible answers with only one being correct,
dlinn [17]
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3 years ago
Simplify the expression, show all of your work.<br> 3 +<img src="https://tex.z-dn.net/?f=5%5E%7B2%7D" id="TexFormula1" title="5^
Burka [1]

Answer:

16

Step-by-step explanation:

=3+25−9÷3(4)

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=28−12

=16

I hope this helps. Have a good day!!

7 0
3 years ago
BRAINLEST FOR RIGHT ANSWER<br><br><br><br> 6. Which rule matches the function shown in the graph?
svetlana [45]

For this case we have a function of the form:

y = mx + b

Where,

m: slope of the line

b: cutting point with the y axis.

The line cuts to the y-axis at the point:

(x, y) = (0, 0)

Therefore, the value of b is given by:

b = 0

We now look for the slope of the line.

For this, we use the following equation:

m=\frac{y2-y1}{x2-x1}

Substituting values we have:

m=\frac{1-0}{3-0}

Rewriting:

m=\frac{1}{3}

Then, the equation of the line is:

y=\frac{1}{3}x

Answer:

the rule that matches the function shown in the graph is:

y=\frac{1}{3}x

7 0
3 years ago
Help me please. Solve this equation with the steps. -5•10^x=-31. Thank you
Sonbull [250]

Answer:

x=0.79

Step-by-step explanation:

we have

-5(10^{x})=-31

step 1

Divide by -5 both sides

10^{x}=31/5

step 2

Apply log both sides

log[10^{x}]=log[31/5]

step 3

Applying Property of logarithms

Remember that

log(x^{y})=ylog(x)

so

xlog[10]=log[31/5]

Remember that

log(10)=1

substitute

x=log[31/5]

x=log(6.2)

x=0.79

5 0
2 years ago
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