All categories

3 years ago

Please solve a,b and c

Mathematics

1 answer:

Tom [10]3 years ago

5 0

$a.\\P=2x+2\pi r\\\\b.\\2x+2\pi r=P\ \ \ |-2\pi r\\\\2x=P-2\pi r\ \ \ |:2\\\\x=\dfrac{P}{2}-\pi r\\\\c.\\P=660\ ft,\ r=50\ ft\\\\x=\dfrac{660}{2}-50\pi=(330-50\pi)\ ft\approx330-50\cdot3.14=330-157=173\ ft$

You might be interested in

−3xy ^5 (8y) Simplified

german

-24xy^6 is that simplified

4 0

3 years ago

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

Find the distance across the lake. Assume the triangles are similar.\

allochka39001 [22]

Answer: A. 300 m

Work Shown:

L/100 = 15/5

5L = 100*15

5L = 1500

L = 1500/5

L = 300

3 0

3 years ago

Read 2 more answers

How would you change 125.25% to decimal form?

Romashka-Z-Leto [24]

Percent means parts out of 100 so
125.25%=125.25/100=12.525/10=1.2525/1=1.2525
basically:
percent to decimal: move decimal place 2 places to the left and get rid of percent sign
decimal to percent: move decimal place 2 places to the right and add percent sign at end
fraction to decimal: divide completely
fraction to percent: divide completely then convert to percent

the answer is 1.2525

6 0

3 years ago

Read 2 more answers

Johnny has one cookie so he has two cookies how many cookies are there all together

maksim [4K]

Answer:

Jonny has 2 cookies

Step-by-step explanation:

<em>Hope this helped you! Have a great day!</em>

7 0

3 years ago