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3 years ago

How to find the probability of exactly one event happening?

1 answer:

6 0

$probability \: of \: an \: event \: happening = \: number \: of \: ways \: it \: can \: happen \div total \: number \: of \: outcomes$

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Simplify (-8x to the 6th power) (4x to the 2nd power)

hoa [83]

This equation in numbers:
(-8x)^6 • (4x)^2
(262144•x^6) • (16x^2)
4,194,304x^8

4 0

3 years ago

A certain mathematics contest has a peculiar way of giving prizes. Five people are named as Grand Prize winners, but their finis

bixtya [17]

Answer:

The number of complete award announcements possible are 19,554,575,040.

Step-by-step explanation:

Combination is the number of ways to select k items from n distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select k item from n items when order of selection matters.

The number of people entering this year is 22.

The number of ways to select 5 people for Grand Prize is, ${22\choose 5}=\frac{22!}{5!(22-5)!} =26334$ .

The remaining number of people is, 22 - 5 = 17.

It is provided that the other 5 are selected according to an order.

The number of ways to select other 5 winners is,

$^{17}P_{5}=\frac{17!}{(17-5)!} =742560$

The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

6 0

3 years ago

HELP ASAP Find the Difference. SHOW YOUR WORK 3x + 5 - (2x + 2)

REY [17]

Answer:

3x + 5 - (2x + 2)

3x + 5 -2x-2

x+3

Step-by-step explanation:

3 0

2 years ago

2. Construct Arguments An ostrich runs 6 miles

Alekssandra [29.7K]

Answer:

At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.

Step-by-step explanation:

Distance run by the ostrich = 6 miles

Time the ostrich takes to run this distance = 12 minutes

Speed of the ostrich = Distance / Time

Speed of the ostrich = 6 miles / 12 minutes = 0.5 miles per minute

How far the ostrich could run in 40 minutes?

If the ostrich run 0.5 miles per minute, this is the formula:

Speed of the ostrich * 40 minutes = Distance

0.5 miles/minute * 40 minutes = 20 miles (Minutes is simplified in the numerator and the denominator on the left side)

At a constant speed of 0.5 miles per minute, the ostrich can run 20 miles in 40 minutes. The unit rate is 0.5 miles per minute.

6 0

3 years ago

Need the a answer for this

FinnZ [79.3K]

Answer:

Given expression:

$\dfrac{14a^4b^6c^{-10}}{8a^{-2}b^3c^{-5}}$

Separate the variables:

$\implies \dfrac{14}{8} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

Reduce the first fraction:

$\implies \dfrac{7}{4} \cdot \dfrac{a^4}{a^{-2}} \cdot \dfrac{b^6}{b^3} \cdot \dfrac{c^{-10}}{c^{-5}}$

$\textsf{Apply Division Property of Exponents rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:$

$\implies \dfrac{7}{4} \cdot a^{4-(-2)} \cdot b^{6-3} \cdot c^{-10-(-5)}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot c^{-5}$

$\textsf{Apply Negative Property of Exponents rule} \quad a^{-n}=\dfrac{1}{a^n}$

$\implies \dfrac{7}{4} \cdot a^{6} \cdot b^{3} \cdot \dfrac{1}{c^5}$

Therefore:

$\implies \dfrac{7a^6b^3}{4c^5}$

4 0

1 year ago