Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary.

Renowned French chef Pierre Blaireau is planning a five-course meal for his restaurant’s guests. His different choices include 1

Galina-37 [17]

Answer:

He can make 11,250 five-course meals after this

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

In this problem:

The options are:

10 light appetizers

12 salads

5 small entrees

7 dishes

5 desserts

He throws away

3 salads

2 kinds of dishes

So he will choose

One light appetizer, from a set of 10

One salad, from a set of 9

One entree, from a set of 5

One dish, from a set of 5

One dessret, from a set of 5.

So

$T = P_{(10,1)} \times P_{(9,1)} \times P_{(5,1)} \times P_{(5,1)} \times P_{(5,1)} = \frac{10!}{(10-1)!} \times \frac{9!}{(9-1)!} \times \frac{5!}{(5-1)!} \times \frac{5!}{(5-1)!} \times \frac{5!}{(5-1)!} = 11250$

He can make 11,250 five-course meals after this

3 0

4 years ago

Two circles of radius 1 are centered at $(4,0)$ and $(-4,0).$ How many circles are tangent to both of the given circles and also

galben [10]

Answer:

1 circle

Step-by-step explanation:

Given two circles (red circles on the diagram).

There are two tangent circles to both of the given circles (blue circles on the diagram), and only one of them is passing through the point (0,5).

Let's check it.

The equations of the tangent circles are

$x^2+y^2=9\ [\text{Smaller tangent circle}]\\ \\x^2+y^2=25\ [\text{Larger tangent circle}]$

Check whether point (0,5) lies on the smaller circle:

$0^2 +5^2 =0+25=25\neq 9$

No

Check whether point (0,5) lies on the larger circle:

$0^2 +5^2 =0+25=25$

Yes

Answer: 1 circle

7 0

3 years ago

Please help me with this math!!

yan [13]

Answer:

40% increase

Step-by-step explanation:

Initial perimeter:

P = 2(4 + 6) = 20

Perimeter after change:

P = 2(4*2 + 6) = 28

Change in perimeter:

28- 20 = 8

Percent change:

8/20*100% = 40%

8 0

2 years ago

Three airlines serve a small town in Ohio. Airline A has 48% of all scheduled flights, airline B has 26% and airline C has the r

kozerog [31]

Answer:

0.5969 = 59.69% probability that it was a flight of airline A

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Left on time.

Event B: From airline A.

Probability of a flight leaving on time:

81% of 48%(airline A).

61% of 26%(airline B)

40% of 26%(airline C). So

$P(A) = 0.81*0.48 + 0.61*0.26 + 0.40*0.26 = 0.6514$

Probability of leaving on time and being from airline A:

81% of 48%. So

$P(A \cap B) = 0.81*0.48 = 0.3888$

What is the probability that it was a flight of airline A?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3888}{0.6514} = 0.5969$

0.5969 = 59.69% probability that it was a flight of airline A

6 0

3 years ago

Please find the area of tge triangle help me please asap due tomorrow

Olin [163]

45

1. Area = 1/2 B(base) x H(height)

2. Area = 1/2 9 x 10

3. Area = 1/2 90

4. Area = 45 inches

8 0

3 years ago

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