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stepan [7]
3 years ago
11

Evaluate the following expression. 3 + 90 = 10

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
8 0

Answer: The answer is 9.3 if the coefficient is 10, but the answer is -80/3 if the coefficient is 3

Step-by-step explanation:

Let's solve your equation step-by-step.

3+90=10x

Step 1: Simplify both sides of the equation.

3+90=10x

(3+90)=10x(Combine Like Terms)

93=10x

93=10x

Step 2: Flip the equation.

10x=93

Step 3: Divide both sides by 10.

10x

10

=

93

10

x=

93

10

Answer:

x=

93

10

Let's solve your equation step-by-step.

3x+90=10

Step 1: Subtract 90 from both sides.

3x+90−90=10−90

3x=−80

Step 2: Divide both sides by 3.

3x

3

=

−80

3

x=

−80

3

Answer:

x=

−80

3

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Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

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3 years ago
Read 2 more answers
Convert the equation into slope-intercept form 2x+3y=9
SVETLANKA909090 [29]
Convert the equation into slope-intercept form 2x+3y=9

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