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3 years ago

Angles y and z are formed by two intersecting lines. The measure of z is 146°. What is measure of y?

Mathematics

1 answer:

AlladinOne [14]3 years ago

3 0

Answer: 34

Step-by-step explanation: A line is 180 degrees, so just subract the value that you already have from 180 and you'll have your answer.

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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

A projectile is fired from a cliff feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of

Anastasy [175]

Answer:

$170 Feet

Step-by-step explanation:

It is very long process

4 0

3 years ago

If the nth term is 6-2n^2 what is the 4th term?<br>

GREYUIT [131]

Answer:

a₄ = - 26

Step-by-step explanation:

Substitute n = 4 into the nth term formula

a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26

7 0

3 years ago

I need help with this ASAP !

mojhsa [17]

Answer:

The First Option

Step-by-step explanation:

Since x cant equal 0 or 1, it has to either be greater than 1 or negative. Multiplying something greater than 1 or something negative to 1 will never result in 1.

8 0

3 years ago

On Wednesday Heather ran 3 miles in 30 minutes. If she ran for 45 minutes at this rate on Thursday, how far did Heather run on T

Nostrana [21]

30 mins = 3 miles
10 mins = 1 mile
45 mins = 4.5 miles

4.5 mile is your answer
Glad to Help!

6 0

3 years ago