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3 years ago

Which number line shows the solution to 2/3x - 5 > 3

Mathematics

2 answers:

NNADVOKAT [17]3 years ago

7 0

Answer:

Step-by-step explanation:

Kaylis [27]3 years ago

6 0

Answer:

Where are the number lines?

Step-by-step explanation:

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Two corporate baseball teams are scheduled to play a game together. They agree that if both teams attend or if neither team atte

sp2606 [1]

Answer:

2.99% probability that the cost will be paid by only one team

Step-by-step explanation:

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.

Probability that a team plays:

A team plays if it has at most 2 injured players out of 11.

11 players, so $n = 11$

Each player with a 5% probability of injury, so $p = 0.05$

Then

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

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

$P(X = 0) = C_{11,0}.(0.05)^{0}.(0.95)^{11} = 0.5688$

$P(X = 1) = C_{11,1}.(0.05)^{1}.(0.95)^{10} = 0.3293$

$P(X = 2) = C_{11,2}.(0.05)^{2}.(0.95)^{9} = 0.0867$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.5688 + 0.3293 + 0.0867 = 0.9848$

Each team has a 0.9848 probability of showing up to play.

What is the probability that the cost will be paid by only one team?

This happens if one team shows up and the other do not.

2 teams, so $n = 2$

Each team has a 0.9848 probability of showing up to play, so $p = 0.9848$ .

This probability is P(X = 1).

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

$P(X = 1) = C_{2,1}.(0.9848)^{1}.(0.0152)^{1} = 0.0299$

2.99% probability that the cost will be paid by only one team

7 0

4 years ago

Jessica baked 3p cookies. Alex baked twice as many cookies as Jessica. Sarah baked 10 fewer cookies than Jessica. Find the total

makkiz [27]

Answer:

B) 12p - 10

Step-by-step explanation:

J = 3p

A = 2(3p) = 6p

S = 3p - 10

add together:

3p + 6p + 3p - 10 = 12p - 10

3 0

3 years ago

When twotwo basketball players are about to have a free-throw competition, they often draw names out of a hat to randomly selec

erica [24]

There are 2! = 2 ways to arrange the names of two basketball players in a hat.

Since, the are going to throw alphabetically, there is 1 way for the names to be arranged alphabetically.

Therefore, <span>the probability that they shoot free throws in alphabetical order is $\frac{1}{2} = 0.5$ </span>

6 0

3 years ago

A manager needs to order company shirts for each employee. She was quoted the following rates. If she orders 75 shirts and passe

Rainbow [258]

Answer:

The answer is $7.47.

Step-by-step explanation:

calculate how much in total 75 shirts cost:

- first 19 (less than 20) cost $10: 19 * $10 = $190

- the next 30 cost $8: 30 * $8 = $240

- the rest (26 = 75 - 19 - 30) cost $5: 26 * $5 = $130

in total 75 shirts cost $560:

19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560

Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:

$565 ÷ 75 = $7.47

8 0

3 years ago

Read 2 more answers

Identify the degree of the polynomial: \displaystyle 5+x^{2}-7x5+x 2 −7x

Dmitrij [34]

Answer:

Step-by-step explanation:

plz mark me as brainliest

5 0

3 years ago