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4 years ago

Ethan rolls a 6-sided die. What is the probability that he gets a number greater than 4 or an even number?

2 answers:

3 0

Well,

The probability will be the number of favorable outcomes over the total number of outcomes.

The number of favorable outcomes will be the numbers greater than 4 (5,6) and the even numbers (2,4,6). So the favorable outcomes are 2,4,5, and 6. That is 4 total.

$\frac{4}{6} \ or\ \frac{2}{3}$

Serga [27]4 years ago

3 0

Getting a number greater than 4 means getting 5 or 6
Getting an even number means getting 2,4 or 6
Hence there are 4 favorable cases out of 6 possible cases, and the probability is 4/6=2/3.

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Which expression is equivalent to (a^-3 b/a^-5 b3)^-3? Assume a=0, b=0.

prohojiy [21]

$Use:\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\\\(ab)^n=a^nb^n$

$\left(\dfrac{a^{-3}b}{a^{-5}b^3}\right)^{-3}=\left(a^{-3-(-5)}b^{1-3}\right)^{-3}=\left(a^{-3+5}b^{-2}\right)^{-3}=\left(a^2b^{-2}\right)^{-3}\\\\=(a^2)^{-3}(b^{-2})^{-3}=a^{2(-3)}b^{-2(-3)}=a^{-6}b^6=\dfrac{b^6}{a^6}$

7 0

3 years ago

Moonshine Problem: How many gallons of 20% moonshine and how many gallons of 30% moonshine have to be mixed together to make 100

Sindrei [870]

Answer:

50 gallons 20%

50 gallons 30%

Step-by-step explanation:

If x is gallons of 20% moonshine, and y is gallons of 30% moonshine, then:

x + y = 100

0.20x + 0.30y = 0.25(100)

Solve the system of equations using substitution or elimination. Using substitution:

0.20x + 0.30(100 − x) = 0.25(100)

0.20x + 30 − 0.30x = 25

5 = 0.10x

x = 50

y = 50

3 0

4 years ago

What is the ratio 10 to 65 written as a fraction in lowest terms?

mamaluj [8]

Answer:

2/13

Have a good day!

4 0

3 years ago

2x^4–5x^3+x^2+3x+2=?<br><br> X=5

DanielleElmas [232]

Answer:

$2x^4–5x^3+x^2+3x+2=$

$2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2$

= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2

=1250 – 625 + 25 + 15 +2

= 1292 – 625

= 667

3 0

3 years ago

the expression -300 + 14y represents a submarine that began at a depth of 300 feet below sea level and ascended at a rate of 14

spayn [35]

Answer:

174 feet below sea level

Step-by-step explanation:

y is the number of minutes so you can multiply 14 by 9

14*9 is 126

then you add 126 to -300

126 + (-300) is essentially 126 - 300 and that is -174

the submarine was at 174 feet below sea level

3 0

3 years ago