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3 years ago

You roll a standard number cube. Find P(number greater than 2).

Mathematics

2 answers:

vesna_86 [32]3 years ago

8 0

Answer:2/3 is your answer

Step-by-step explanation:

Furkat [3]3 years ago

7 0

A standard number cube goes from 1 to 6. Since we are looking for P, the probability of a number greater than 2, we will count how many numbers on the dice are greater than 2.
3, 4, 5, 6. There is 4 numbers out of 6 total.
Your probability is 4/6 or 2/3 if simplified.
I hope this helps!

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Answer:

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Step-by-step explanation:

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3 years ago

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DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

What is 0.07 as a fraction

ziro4ka [17]

0.07 as a fraction would be 7/100.

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3 years ago

Read 2 more answers

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3 years ago

Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tr

Lapatulllka [165]

Answer:

a. 3/40

b. 37/40

c. 2/39

d. 37/39

e. 3/39

h. 36/39

k. 1/260

m. 37/520

n. 37/520

w. 111/130

Step-by-step explanation:

First person:

a. 3/40

b. 37/40

_____

Second person:

left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total

c. 2/39

d. 37/39

not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.

e. 3/39

h. 36/39

_____

for the final probabilities, just multiply along the tree branches:

k = a × c = 1/260

m = a × d = 37/520

n = b × e = 37/520

w = b × h = 111/130

6 0

3 years ago