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3 years ago

Which interval is the solution set to 0.35x - 4.8<5.2- 0.9x

Mathematics

2 answers:

kompoz [17]3 years ago

7 0

Answer:

x < 8

Step-by-step explanation:

0.35x - 4.8 < 5.2- 0.9x

0.35x + 0.9x < 5.2 + 4.8

1.25x < 10

x < 10/1.25

x < 8

stiks02 [169]3 years ago

4 0

Answer:

Solution set {x|x<8}

Step-by-step explanation:

0.35x - 4.8<5.2- 0.9x

0.35x+0.9x<5.2+4.8

1.25x<10

x<10/1.25

x<8

Solution set {x|x<8}

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Which answer describe the type of sequence? 3,9,15,21

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2 years ago

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Likurg_2 [28]

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that 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.

A real estate agent has 17 properties that she shows.

This means that $n = 17$

She feels that there is a 50% chance of selling any one property during a week.

This means that $p = 0.5$

Compute the probability of selling less than 3 properties in one week.

This is

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0$

$P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001$

$P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011$

0.0011 = 0.11% probability of selling less than 3 properties in one week.

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2 years ago

There are 30 major league baseball teams and 32 national football league teams. The expanded roster for the Major League teams i

nikdorinn [45]

Answer:

The National football league has 464 more players than the Major League baseball.

Step-by-step explanation:

Since there are 30 teams in the Major league baseball and there are 40 players in each team, this means that the total number of players in the Major league baseball is:

30 × 40 = 1200 players

Since there are 32 teams in the National football league and there are 52 players in each team, this means that the total number of players in the National football league is:

32 × 52 = 1664 players

Therefore, the difference in the number of players in both leagues is:

1664 - 1200 = 464 players

Therefore, the National football league has 464 more players than the Major League baseball.

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