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3 years ago

Help please easy points

Mathematics

2 answers:

Alborosie3 years ago

5 0

Answer: F is the correct answer; 7 in.

Step-by-step explanation: I hope that this information helped you! :P

dimulka [17.4K]3 years ago

3 0

First let's figure out the angle of the green beans section - this would be 360 minus the total of the other two angles:
360 - (98 + 195)
= 360 - 293
= 67°

Now the formula for the circumference of a circle is circumference = πd, but since we have only a section of the circle we need to multiply this by the angle of our section/the sum of angles in a circle, ie.:
Circumference = 12π*(67/360)
= 67π/30
= 7 inch (to the nearest whole number)
Therefor F is the correct answer

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Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

3 years ago

A survey showed that 23 out of every 100 students play a musical instrument. What percent of the students surveyed play a musica

Gnom [1K]

Answer:

23%

Step-by-step explanation:

7 0

3 years ago

F(n+1)=f(n)-3 f(1)=15

Trava [24]

Answer:

f(n+1) = 13

Step-by-step explanation:

We know that f(1) = 15
So we can substitute this for f(n)-3
With this:

f(n+1) = f(1) -3
f(n+1) = 15-2
f(n+1) = 13

5 0

3 years ago

The LEADING COEFFICIENT OR THE LEADING TERM of 3x - 5x^2y^3 + 6xy + 7 is

cricket20 [7]

The leading term is the term with the highest degree (highest exponent number). Here, the leading term is =》B) - 5x²y³

³ is the highest degree in the given expression.

_____

Hope it helps ⚜

8 0

2 years ago

In right triangle HJK, angle J is a right angle and tan angle H = 1. Which Statement about triangle HJK MUST BE TRUE

Anna [14]

Tan angle h=1 i think '

4 0

3 years ago