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2 years ago

Solve 2 – 4<5. Graph the solution. The solution is

Mathematics

2 answers:

Arturiano [62]2 years ago

6 0

Answer:

x < 9

Step-by-step explanation:

Move the -4 over as if there was an equal sign so that x < 9

Take the arrow that looks like this "<---O" that is not filled in and put it on the number 9.

Let me know if this helps <3

SashulF [63]2 years ago

5 0

Answer:

x < 9

Step-by-step explanation:

The graphed solution starts with a open circle on the 9 number on the number line. Then there is a line that extends from the open circle all the way to the left.

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Suppose there is an estate sale featuring many items sold at different prices. The mean selling price of the items is 75 dollars

FromTheMoon [43]

Answer: The price of the costume jewelry is 3 standard deviations to the left of the mean.

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3 years ago

The sum of the measures of two complementary angles exceeds the difference of their measures by 72°. Find the measure of the sma

Sunny_sXe [5.5K]

Complementary angles signify that the two angles will add up to 90 degrees If the sum of your complementary angles exceeds the difference by 72, the equation will look like $x+y=x-y+72$ , where x and y are the two different angles. You can cancel the x's out because they are on both sides, and you are left with the single variable equation, [text]y=-y+72[/tex], and when you solve for y, you find that y is 36 degrees, which means that x is 54 degrees. Since you want the smaller angle, 36 degrees would be correct.

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3 years ago

Read 2 more answers

The chance of winning a certain game at a carnival is 2 in 5. If Andy plays the game 12 times, what is the probability that he l

lyudmila [28]

Answer:

1.5267% probability that he loses AT MOST 3 times

Step-by-step explanation:

For each game that Andy plays, there are only two possible outcomes. Either he wins, or he loses. The probability of winning a game is independent of other games. 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.

The chance of winning a certain game at a carnival is 2 in 5.

So the chance of losing is (5-2) in 5, that is 3 in 5.

So $p = \frac{3}{5} = 0.6$

12 games:

This means that $n = 12$ .

What is the probability that he loses AT MOST 3 times?

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$ .

In which:

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

$P(X = 0) = C_{12,0}.(0.6)^{0}.(0.4)^{12} = 0.000017$

$P(X = 1) = C_{12,1}.(0.6)^{1}.(0.4)^{11} = 0.000302$

$P(X = 2) = C_{12,2}.(0.6)^{2}.(0.4)^{10} = 0.002491$

$P(X = 3) = C_{12,3}.(0.6)^{3}.(0.4)^{9} = 0.012457$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.000017 + 0.000302 + 0.002491 + 0.012457 = 0.015267$

1.5267% probability that he loses AT MOST 3 times

6 0

4 years ago

Scores on the SAT college entrance test in a recent year were roughly Normal with mean 1012.5 and standard deviation 184.9. You

kondor19780726 [428]

Answer:

By the Central Limit Theorem, the mean of the average scores you get will be close to 1012.5.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .