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sveta [45]
2 years ago
7

Solve the inequality 8x - 10 > 7x + 20.

Mathematics
1 answer:
IrinaK [193]2 years ago
8 0
Keep the inequality sign the same way round then put all the 'x's on one side.

x > 30
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The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a
Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \lambda e^{-\lambda x}

In which \lambda = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

In this question:

m = 4

a. Find the value of λ.

\lambda = \frac{1}{m} = \frac{1}{4} = 0.25

b. What is the probability that a person waits for less than 3 minutes?

P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276

52.76% probability that a person waits for less than 3 minutes

3 0
3 years ago
Which equation finds the area of a square with a side length of 5 n Superscript 4 units?
Tju [1.3M]
I think the answer is A but I could be wrong
3 0
3 years ago
Read 2 more answers
there are about 1.5 grams of fat in 1 tablespoon of hummus.how many grams of fat are in 2 1/2 cups of hummus. (16 tablesspoons=1
FrozenT [24]
Umm...60 grams.
1.5 grams is equal to 1 tablespoon of hummus.
Since 16 tablespoons are in a cup, you'd have to multiply the 1.5 grams per tablespoon by 16 to find the amount of fat in grams are in a cup.
You'll get 24 grams as an answer.
Since you're trying to find the amount of grams in 2.5 (2 1/2) cups of hummus, you just multiply 24 by 2.5 to get the overall answer of <u>60 grams.</u><u />
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3 years ago
How to solve radicals
sattari [20]

Answer:

Step-by-step explanation:

1) Find the common denominator.

2) Multiply everything by the common denominator.

3) Simplify.

4) Check the answer(s) to make sure there isn't an extraneous solution.

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2 years ago
WILL GIVE BRIANLEST IM WATCHING
bixtya [17]

Answer:

negative

Step-by-step explanation:

♪\(*^▽^*)/\(*^▽^*)/

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