1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
A polynomial function P(x) with rational coefficients has the given roots. Find two additional roots of P(x)= 0, 7- 5 squared an
galben [10]

Answer:

2 & +2i

Step-by-step explanation:

The two additional roots of the polynomial functions are:

1. 7-5 = 2

2. Irrational root of a polynomial functions are always in pairs, hence

- 2i will have +2i as its pair

4 0
2 years ago
Point O is the center of the given circle. What is the measure of yz?
jasenka [17]

Answer:

  • B. 108°

Step-by-step explanation:

<u>XO = YO equal as radius, therefore</u>

  • m∠X = m∠Y = 54°

∠YOZ is exterior angle of the triangle OXY and equal to sum of non-adjacent interior angles

  • m∠YOZ = 54° + 54° = 108°

Arc YZ is 108°

Correct option is B

8 0
2 years ago
Suppose the point P = ( - 10,6) is reflected across the x-axis to the point P'.
mash [69]

Answer:

(-10,-6)

Step-by-step explanation:

When this point is reflected in the x-axis, the y-coordinates change from either positive to negative or negative to positive. The x-coordinates will not change.

Since the y-coordinates is originally positive, it will change to negative. Giving us our answer of:

(-10,-6)

5 0
2 years ago
Does anyone know how to do geometry
Katena32 [7]
So all the angles on one side should equal 180.
50+55= 105
180-105=75
12x+3=75
12x=72
12*6=72
x=6
4 0
3 years ago
Mary opened a savings account with a deposit of $18,000.
ELEN [110]

Answer:

0.7% I think

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • An outdoor track consists of a rectangular region with a semi-circle on each end. If the perimeter of the track must be 200 mete
    14·1 answer
  • NEED HELP IN MATH .THANKS
    10·1 answer
  • Plzzz help .........
    10·2 answers
  • Which of the following values is farthest to the left on the number line?
    13·1 answer
  • ILL GIVE YOU EXTRA POINTS!!! The ratio of 9th grade students to 10th grade students in baseball league is 17 to 23. If there are
    15·1 answer
  • 1/10 + 3/10 + 3/10 + 1 1/10
    6·2 answers
  • Y = 1/2x + 2<br> What is the slope?
    8·2 answers
  • (1) 16 liters of kerosene is needed for 12 stoves 14
    6·2 answers
  • Find the equation of the line.<br> Use exact numbers.<br> y =_x+7
    7·1 answer
  • What is x=.30(729). explain
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!