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3 years ago

What is the solution to the following equation? x+(-21)=8

Mathematics

2 answers:

Yuki888 [10]3 years ago

8 0

Answer:

x=29

Step-by-step explanation:

rodikova [14]3 years ago

3 0

Answer:

x is 29.

Step-by-step explanation:

x-21=8 (same equation to solve)

+21 +21 (add 21 to both sides)

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

x= 29

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At Denver International Airport, 83% of recent flights have arrived on time. A sample of 12 flights is studied. (a) Calculate th

Aleks [24]

Answer:

10.69% probability that all 12 flights were on time

Step-by-step explanation:

For each flight, there are only two possible outcomes. Either it was on time, or it was not. The probability of a flight being on time is independent of any other flight. So we use the binomial probability distribution 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.

83% of recent flights have arrived on time.

This means that $p = 0.83$

A sample of 12 flights is studied.

This means that $n = 12$

Calculate the probability that all 12 flights were on time

This is P(X = 12).

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

$P(X = 12) = C_{12,12}.(0.83)^{12}.(0.17)^{0} = 0.1069$

10.69% probability that all 12 flights were on time

8 0

3 years ago

7x-9+3x=2x+18-x submit i want an answer please

oksano4ka [1.4K]

Answer:

x = 3

Step-by-step explanation:

7x - 9 + 3x = 2x + 18 - x

10x - 9 = x + 18

10x - x = 18 + 9

9x = 27

x = 3

6 0

3 years ago

Read 2 more answers

Bill has x pence.

Anna [14]

Ben has x pence, but Bill has 2x (twice more)

3 0

2 years ago

The distribution of the test statistic for analysis of variance is the F-distribution. true or false

lubasha [3.4K]

Answer:

True. See explanation below

Step-by-step explanation:

Previous concepts

Analysis of variance (ANOVA) "is used to analyze the differences among group means in a sample".

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

If we assume that we have $k$ groups and on each group from $j=1,\dots,k$ we have $k$ individuals on each group we can define the following formulas of variation: