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3 years ago

Solve the following system of equations graphically.

Mathematics

1 answer:

Vinil7 [7]3 years ago

3 0

The solution lies in quadrant I

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The weekly amount spent by a small company for in-state travel has approximately a normal distribution with mean $1450 and stand

Llana [10]

Answer:

0.0903

Step-by-step explanation:

Given that :

The mean = 1450

The standard deviation = 220

sample mean = 1560

$P(X > 1560) = P( Z > \dfrac{x - \mu}{\sigma})$

$P(X > 1560) = P(Z > \dfrac{1560 - 1450}{220})$

$P(X > 1560) = P(Z > \dfrac{110}{220})$

P(X> 1560) = P(Z > 0.5)

P(X> 1560) = 1 - P(Z < 0.5)

From the z tables;

P(X> 1560) = 1 - 0.6915

P(X> 1560) = 0.3085

Let consider the given number of weeks = 52

Mean $\mu_x$ = np = 52 × 0.3085 = 16.042

The standard deviation = $\sqrt {n \time p (1-p)}$

The standard deviation = $\sqrt {52 \times 0.3085 (1-0.3085)}$

The standard deviation = 3.3306

Let Y be a random variable that proceeds in a binomial distribution, which denotes the number of weeks in a year that exceeds $1560.

Then;

Pr ( Y > 20) = P( z > 20)

$Pr ( Y > 20) = P(Z > \dfrac{20.5 - 16.042}{3.3306})$

$Pr ( Y > 20) = P(Z >1 .338)$

From z tables

P(Y > 20) $\simeq$ 0.0903

7 0

3 years ago

If r = 4 units and x = 13 units, then what is the volume of the cylinder

irina [24]

Im going to go with the volume being 653.45 because v = pie r squared h = pie times 4 squared times 13 which equals 653.45... hope its correct !

6 0

3 years ago

Which of the following is not a solution for the inequality 3x +2 < 12?

Advocard [28]

$3x+2 < 12\ \ \ \ |-2\\\\3x < 10\ \ \ \ |:3\\\\x < \dfrac{10}{3}\\\\x < 3\dfrac{1}{3}\\\\x=2 < 3\dfrac{1}{3}\\\\x=2.5 < 3\dfrac{1}{3}\\\\x=3 < 3\dfrac{1}{3}\\\\x=3.5-Answer$

8 0

3 years ago

Help asap pls!!!! i need the questions answered also !!

Vikki [24]

Answer:

it wold be A

Step-by-step explanation:

5 0

3 years ago

Student attendance at football games

Paladinen [302]

Collin's sampling method will better represent the entire population.

<h3>Missing part of the question</h3>

Determine which sampling method will better represent the entire population.

<h3>How to determine the better method?</h3>

From the question, we understand the Collin selected random names from the school directory.

While Karl surveyed only the students sitting close to him.

Karl's method is biased because students sitting far from him do not have a chance of being surveyed.

Hence, Collin's sampling method will better represent the entire population.