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3 years ago

Please help properties of exponents

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

Step-by-step explanation:

3. $c^{11}$ add exponents

4. $m^{60}$ multiply exponents

5. $x^{6} y^{18}$ distribute and multiply exponents

6. $-21 a^{47} *b$ multiply and then add exponents

7. $100 a^{14} b^{4} c^{12}$ distribute and multiply exponents

8. $n^{22}$ multiply and then add exponents

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The monthly worldwide average number of airplane crashes of commercial airlines is 2.2. What is the probability that there will

Makovka662 [10]

Answer:

(a) more than 2 such accidents in the next month $\approx 0.3773$

(b) more than 4 such accidents in the next 2 months $\approx 0.44882$

(c) more than 5 such accidents in the next 3 more than 5 such accidents in the next 3 months $\approx 0.64533$

Step-by-step explanation:

Let N be the Random variable that marks the number of crashes in certain month.

Now let us use Poisson distribution since we are given with average number of crashes that is N \sim Pois(2.2)

(A) more than 2 such accidents in the next month

Probability(more than 2 such accidents in the next month)=P(N>2)

P(N>2)=1-P(N=0)-P(N=1)-P(N=2)

=> $1-e^-{2.2}-2.2e^{-2.2}-\frac{2.2^2}{2!}e^{2.2}$

=> $\approx 0.3773$

B) more than 4 such accidents in the next 2 months

since the average number of crashes in 1 month is 2.2, the average number of crashes in two months is 4.4. hence, if we say that $N_1$ is the number of crashes in 2 months, we have that $N\sim$ Pois(4.4)

Thus,

Probability(more than 4 such accidents in the next 2 months)=P( $N_1>4$ )

= $1-P(N_1=0)-P(N_1=1)-P(N_1=2)=P(N_1=3)-P(N_1=4)$

$1-\sum_{k=1}^{4} \frac{4.4^{k}}{k !} e^{-4.4}$

=> $\approx 0.44882$

C) more than 5 such accidents in the next 3 more than 5 such accidents in the next 3 months

If we say that $N_2$ marks the number of crashes in the next 3 months , using the same argument as in (a) we have that a $N\sim$ Pois(6.6)

Hence

P( $N_2>5$ )= $1-\sum_{k=0}^{5} \frac{6.6^{k}}{k !} e^{-6.6}$

=> $\approx 0.64533$

6 0

4 years ago

What is domain and range

zalisa [80]

Domain = x
range = y
so like in (4,1) The four is the domain and the range is 1

3 0

4 years ago

Read 2 more answers

Which ordered pairs are solutions to the system? Check all of the boxes that apply.

77julia77 [94]

Answer:

the answer is the 3rd & 5th one for anyone doing this question ; )

Step-by-step explanation:

I just did this question

It's right i just checked

7 0

3 years ago

Read 2 more answers

What is the equation for this graph pls help me and pls make sure it’s right:))

SVETLANKA909090 [29]

Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

8 0

3 years ago

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PLLLZZ EXPLAIN HOW YOU GOT IT! I will give you branilest!

Nezavi [6.7K]

Answer:

Getting through ratio method

100-20=80 percent have to pay

18:80

<em>x</em>:100

cross multiply

80 x <em>x=1</em>8 x 100

80x=1800

x=1800/80

x=22.5

So the original price was $22.50

Step-by-step explanation:

5 0

3 years ago