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3 years ago

Two lines, A and B, are represented by equations given below:

Mathematics

1 answer:

frozen [14]3 years ago

4 0

9514 1404 393

Answer:

(b) (−3, −5), because the point satisfies both equations

Step-by-step explanation:

Any solution to a system of two equations must satisfy both equations. The only reasonable explanation of "why" is the one associated with the answer shown above.

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A toddler is allowed to dress himself on Mondays, Wednesdays, and Fridays. For each of his shirt, pants, and shoes, he is equall

avanturin [10]

Answer:

0.0286 = 2.86% probability that today is Monday.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Dressed correctly

Event B: Monday

Probability of being dressed correctly:

100% = 1 out of 4/7(mom dresses).

(0.5)^3 = 0.125 out of 3/7(toddler dresses himself). So

$P(A) = 0.125\frac{3}{7} + \frac{4}{7} = \frac{0.125*3 + 4}{7} = \frac{4.375}{7} = 0.625$

Probability of being dressed correctly and being Monday:

The toddler dresses himself on Monday, so (0.5)^3 = 0.125 probability of him being dressed correctly, 1/7 probability of being Monday, so:

$P(A \cap B) = 0.125\frac{1}{7} = 0.0179$

What is the probability that today is Monday?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0179}{0.625} = 0.0286$

0.0286 = 2.86% probability that today is Monday.

4 0

3 years ago

Derive the equation of the parabola with a focus at (2, 4) and a directrix of y = 8.

Len [333]

A parabola is a curve where any point is at an equal distance from:

a fixed point (the focus ), and a fixed straight line (the directrix )

The curve is defined by: y2 = 4ax.

3 0

3 years ago

A manufacturer has developed a new fishing line, which the company claims has a mean breaking strength of 15 kilograms with a st

stich3 [128]

Answer: a) α = 0.7927, b) at u=14.8, β = 0.99767, at u = 14.9, β= 0.2073

Step-by-step explanation: a) from the question, u= population mean = 15 and x= sample mean = 14.9

σ = population standard deviation = 0.5, n = sample size = 50.

We get the probability of committing a type 1 error by using the z score.

Z = x - u/(σ/√n)

Z = 14.9 - 15/(0.5/√50)

Z = - 0.1/0.0707

Z = - 1.41.

By checking the the probabilistic value attached to this z score using a standard normal distribution table whose area is to the left of the distribution, we have that

P(z=-1.41) = 0.7927.

Hence the probability of committing a type 1 error is 0.7927

at x = 14.8 ( I let ua=x=14.8)

Z = x - u/(σ/√n)

Z = 14.8 - 15/(0.5/√50)

Z = - 0.2/ 0.0707

Z = - 2.83

Using the standard normal distribution table, we have that

P(z=-2.38) = 0.00233.

But α + β = 1

Where α= probability of committing a type 1 error

β = probability of committing a type 2 error.

β = 1 - α

β = 1 - 0.00233

β = 0.99767

At x = 14.9

Z = x - u/(σ/√n)

Z = 14.9 - 15/(0.5/√50)

Z = - 0.1/0.0707

Z = - 1.41.

P(z=-1.41) = 0.7927.

α = 0.7927.

But α + β = 1

β = 1 - 0.7927

β = 0.2073

3 0

3 years ago

PLEASE HELP ME ON THIS QUESTION REALLY QUICKLY BEFORE I EXPLODE PINA CALODAS !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

choli [55]

The answer is 3 1/2 inches bro hope this helpes you

4 0

3 years ago

Yall... help pls this is hard

madreJ [45]

Answer:

First one Or Last. I think the last one though

Step-by-step explanation:

3 0

3 years ago