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3 years ago

Find the theoretical probability for rolling 6 as well as the probability for a 1

Mathematics

1 answer:

ale4655 [162]3 years ago

3 0

6 is one of the six total sides on a dice.

P(6)=1/6

1 is one of the six total sides on a dice.

P(1)=1/6

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one bus leaves a stop every 9 minutes a second bus leaves every 15 minutes if they both leave at 1:25 at what time will they nex

aleksandrvk [35]

In this question you need to find the lowest common multiple. I like to do it the factor tree way:
 15 9
/ \ / \
3 5 3 3
See how there are both a 3 in the 15 factor tree and there is at least on three in the 9 factor tree. So when you find the LCM, you combine the two threes from the different factor trees like this:
3 x 5 x 3 = 45
So every 45 minutes the bus would be at the bus stop together

Now simply add the 45mins onto the 1:25

Answer: 2:10

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Answer:

$\huge\boxed{(2x+8)(x-3)=2x^2+2x-24}$

Step-by-step explanation:

$\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(2x+8)(x-3)=(2x)(x)+(2x)(-3)+(8)(x)+(8)(-3)\\\\=2x^2-6x+8x-24\qquad\text{combine like terms}\\\\=2x^2+(-6x+8x)-24\\\\=2x^2+2x-24$

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In a standard normal distribution, what z value corresponds to 17% of the data between the mean and the z value?

hjlf

You're looking for a value $z$ such that

$\mathbb P(0$

Because the distribution is symmetric, the value of $z$ in either case will be the same.

Now, because the distribution is continuous, you have that

$0.17=\mathbb P(0$

The mean for the standard normal distribution is $0$ , and because the distribution is symmetric about its mean, it follows that $\mathbb P(Z$ .

$0.17=\mathbb P(Z$

You can consult a $z$ score table to find the corresponding score for this probability. It turns out to be $z\approx0.4399$ .

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butalik [34]

Answer:

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