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3 years ago

What is the degree measure of an arc 4 ft. long in a circle of radius 10 ft.?

Mathematics

1 answer:

Dafna1 [17]3 years ago

8 0

Arc length, (s)=(radius, r)(central angle, q)
s=rq
q=s/r
q=4/10
q=2/5, or 0.4 radians

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

3 years ago

F left parenthesis x right parenthesis equals 9 x cubed plus 2 x squared minus 5 x plus 4 and g left parenthesis x right parenth

Jet001 [13]

The answer is 2x(2x²+x+1).

When we subtract polynomials we combine like terms:
(9x³+2x²-5x+4)-(5x³-7x+4)

9x³-5x³=4x³
2x²- 0 = 2x²
-5x--7x=-5x+7x=2x
4-4=0

This gives us
4x³+2x²+2x

Each of these is divisible by 2, and each has an x, so we factor those out:
2x( )

4x³/2x = 2x²:
2x(2x² )

2x²/2x=x:
2x(2x²+x )

2x/2x = 1:
2x(2x²+x+1)

3 0

3 years ago

Solve using the Quadratic Formula.

sveticcg [70]

A) x=5+/-73 is the answer I think

4 0

3 years ago

HELP!!!!!!!!!!!!!!!!!!!!!!!

Agata [3.3K]

Answer:

B would be (-1, -2)

C would be (-1, 1)

A would be (-4, -2)

Step-by-step explanation:

The ordered pairs are affected by the y value. The X value stays the same since you didn't move the shape any to the right or left. The y values went down three on all of the points because you moved the whole shape down three spots.

I hope this helps! Please mark as brainliest! Just ask if you need anymore help! :D Good Luck!

8 0

3 years ago

Which is the equation of the line that passes through (6, 2) and is perpendicular to a line with slope -1/3?

Firdavs [7]

Answer:

Step-by-step explanation:

$\frac{ - 1}{3} \times a = -1$