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2 years ago

Which statement describes the vector plotted below?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

8 0

Answer:

A. The vector goes from (4, 0) to (3, -2).

Step-by-step explanation:

The tail of the vector is on the point (4, 0). The head of the vector is on the point (3, -2). Only answer choice A correctly identifies both of the points associated with the vector.

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An automobile manufacturer produces production parts with 98% accuracy. What is the probability that in a production run of 25 p

Sergio039 [100]

Answer:

the answer is C

Step-by-step explanation:

let's be honest when in doubt just put c

5 0

2 years ago

A brewery produces cans of beer that are supposed to contain exactly 12 ounces. But owing to the inevitable variation in the fil

MArishka [77]

Answer:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solutio to the problem

Let X the random variable that represent the amount of beer in each can of a population, and for this case we know the distribution for X is given by:

$X \sim N(12,0.3)$

Where $\mu=12$ and $\sigma=0.3$

For this case we select 6 cans and we are interested in the probability that the total would be less or equal than 72 ounces. So we need to find a distribution for the total.

The definition of sample mean is given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n} = \frac{T}{n}$

If we solve for the total T we got:

$T= n \bar X$

For this case then the expected value and variance are given by:

$E(T) = n E(\bar X) =n \mu$

$Var(T) = n^2 Var(\bar X)= n^2 \frac{\sigma^2}{n}= n \sigma^2$

And the deviation is just:

$Sd(T) = \sqrt{n} \sigma$

So then the distribution for the total would be also normal and given by:

$T \sim N (\mu = 6*12=72 , \sigma= \sqrt{6} *0.3=0.735)$

And we want this probability:

$P(T\leq 72)$

And we can use the z score formula given by:

$z = \frac{x-\mu}{\sigma}$

$P(T \leq 72) = P(Z< \frac{72-72}{0.735}) = P(Z$

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2 years ago

Cristine's middle school has a total of 900 students and 45 teachers. The local high school has 110 teachers and a student-teach

frozen [14]

Write and solve an equation of ratios:

900 students 45 teachers
------------------ = -----------------
x 110 teachers

Cross multiplying, we get (900)(110) / 45, or

so x = # of students in the high school = 2200 (answer)

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2 years ago

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Three people guess the number of cherries in a bag rounded to the nearest 10 Alex guesses 80 cherries Jess guesses 60 cherries a

Marrrta [24]

Jess guessed correctly because the number of cherries in a bag is 63. 7x9=63 and 6+3= 9. 63 rounded to the nearest 10 is 60.

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2 years ago

The mass of Earth is made up of these parts.

Bezzdna [24]

Answer:

Edg.enuity answers

Step-by-step explanation:

1. Atmosphere- 8.90118

2. Oceans- 2.44346

3. Crust- 4.53786

4. Inner Core- 1.68861

5. Outer Core- 3.20268

6. Mantle- 7.05637

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2 years ago

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