Draw a Picture Elise paints 12 stars on a

A certain restaurant always overbooks. If possible. At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53

oee [108]

Answer:

The probability that the restaurant can accommodate all the customers who do show up is 0.3564.

Step-by-step explanation:

The information provided are:

At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
If the probability of a party not showing up is 0.04.
Assuming independence.

Let X denote the number of parties that showed up.

The random variable X follows a Binomial distribution with parameters n = 53 and p = 0.96.

As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.

Compute the probability that the restaurant can accommodate all the customers who do show up as follows:

$P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564$

Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.

7 0

2 years ago

Please help ill mark brainliest and add explanation too pleas

andriy [413]

Step-by-step explanation:

In A,

length=3units

width=2 units

area=length×width

area=3×2 sq.units

area=6 sq.units

In B,

length=1unit

width=4units

area=length × width

area=1unit × 4units

area= 4 sq.units

Note:if you need to ask any question please let me know.

5 0

2 years ago

I’m confused wit this worksheet

m_a_m_a [10]

Okay so you see those dots located in the fist question right? locate the coordinates ( 1, 2)

Now that you have located them, look at what the question asks

"move 3 units left and 7 units up" and what you do is move vertices ( 1,2) (aka the dot) 3 units left and move it up 7 times.

And now your new location for (1,2) should be (-2,5) because you moved the (1,2) dot 3 units to the left and 7 units up.

( now do the same for the rest of the other dots)

8 0

2 years ago

Factor x2 + 16 completely.

Dmitry_Shevchenko [17]

<h3>Answer:</h3>

Prime

<h3>Solution:</h3>

Let's factor this expression.
x^2+16
The expression is prime.
Let's see why all the other options are wrong.
Option A) (x+4)(x+4)
x*x
x*4
4*x
4*4
This makes x^2+8x+16, not x^2+16.

Hope it helps.

Do comment if you have any query.

6 0

2 years ago

Read 2 more answers

What is the inverse relation of thr function f(x) = -7/2x+4

Mnenie [13.5K]

The inverse of the function is $y=-\frac{2}{7} x+\frac{8}{7}$

Explanation:

The given function is $f(x)=-\frac{7}{2} x+4$

To determine the inverse of a function, we need to interchange the variables and solve for y.

Let us interchange the variables x and y

Thus, we have,

$x=-\frac{7}{2} y+4$

Now, we shall solve for y

Subtracting both sides of the equation by 4, we get,

$x-4=-\frac{7}{2} y$

Multiplying both sides of the equation by $-\frac{2}{7}$ , we get,

$-\frac{2}{7} (x-4)= y$

Switch sides, we have,

$y=-\frac{2}{7} (x-4)$

Multiplying the terms within the bracket, we have,

$y=-\frac{2}{7} x+\frac{8}{7}$

Thus, the inverse of the function is $y=-\frac{2}{7} x+\frac{8}{7}$

5 0

3 years ago