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olchik [2.2K]
2 years ago
11

At a particular restaurant, 62% of all customers order an appetizer and 41% of all customers order dessert. If 69% of all custom

ers order an appetizer or dessert (or both), what is the probability a randomly selected customer orders both an appetizer and dessert
Mathematics
1 answer:
jekas [21]2 years ago
5 0

Answer:

In terms of probablity (A - appetizer oredered, B - desert ordered)

P(A)=63%

P(B)=40%

P(AorB)=76%.

Using the formula:

P(AorB)=P(A)+P(B)-P(A&B) we get P(A&B)=63%+40%-76%=27% (probability we were looking for).

You might be interested in
Multiply and answer in scientific notation:
saveliy_v [14]

Answer:

50000000000 if your combining them both or if separate Q1: 25000000 Q2: 2000

Step-by-step explanation:

2.5(10^7)(2(10^3))

=25000000*2000

=2.5*10000000*2*1000

=(2.5*2)*(10000000*1000)

=5*10000000000

=50000000000

If separate:

question 1:

2.5(107)

=2.5*107

=2.5*(10*10*10*10*10*10*10)

=25000000

question 2:

2(103)

=2*103

=2*(10*10*10)

=2000

I hope this helps!

6 0
3 years ago
The circle has a radius of 3 cm. What is the area of the circle?
STatiana [176]
You would do 
3.14*r^2 
which is 3
r=3
what you do is 
3.14*3*3 which is 28.26cm^2 which is D

6 0
3 years ago
Read 2 more answers
A library has 9,000 books. During renovations, the library wants to pack them into boxes that hold 10 books each. How many boxes
yawa3891 [41]

Answer: 900 boxes

Step-by-step explanation: When you take 9,000 and divide it by the number of books in a box(10) you get 900

3 0
3 years ago
Read 2 more answers
Please help me. <br> I need help with this question.
iogann1982 [59]

Answer:

$367.38 is the cost to stain the entire deck.

Step-by-step explanation:

Here is what you need to know beforehand:

<em>Diameter</em> is <u>a line</u> that goes <u>through a circle</u>. <em>Radius</em> is <u>a line </u>that goes from <u>the edge of the circle all the way to the center</u>/<u>a line </u>that goes <u>halfway through the circle</u>.

--------------------------------------------------------------------------------------------------------------

<u>First, find the area of the circle. Here is the formula:</u>

Area = 3.14 (Pi) x r²

Since radius is half of the diameter (as explained above), you'll need to divide the diameter in half: 12m/2 = 6m

So the formula will look like this:

Area = 3.14 x 6²

<u>Then, you just do the math:</u>

Area = 3.14 x 6²

Area = 3.14 x 36

Area = 113.04

The goal of the problem is to find the amount of money Emma needs. <u>Finally, all you need to do is multiply the amount it cost to stain per square meter by the total area of the deck:</u>

Answer = 113.04 x 3.25

Answer = 367.38

$367.38 is the cost to stain the entire deck.

4 0
2 years ago
[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
3 years ago
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