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3 years ago

What is the product of these binomials? (x-8)(x+3)

Mathematics

2 answers:

Kisachek [45]3 years ago

7 0

X^2 - 5x - 24 is the answer

LiRa [457]3 years ago

7 0

Answer:

(x-8)(x+3) = x² - 5x -24

Step-by-step explanation:

We need to find the product of binomials (x-8)(x+3).

Let us use the distribution property.

$(x-8)(x+3)=x\times x+x\times 3-8\times x-8\times 3\\(x-8)(x+3)=x^2-5x-24$

(x-8)(x+3) = x² - 5x -24

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A new sample of 225 employed adults is chosen. Find the probability that less than 7.1% of the individuals in this sample hold m

arsen [322]

Answer:

The probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

Step-by-step explanation:

Let X = number of individuals in the United States who held multiple jobs.

The probability that an individual holds multiple jobs is, p = 0.13.

The sample of employed individuals selected is of size, n = 225.

An individual holding multiple jobs is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 225 and p = 0.13.

But since the sample size is too large Normal approximation to Binomial can be used to define the distribution of proportion p.

Conditions of Normal approximation to Binomial are:

np ≥ 10
n (1 - p) ≥ 10

Check the conditions as follows:

$np=225\times 0.13=29.25>10\\n(1-p)=225\times (1-0.13)=195.75>10$

The distribution of the proportion of individuals who hold multiple jobs is,

$p\sim N(p, \frac{p(1-p)}{n})$

Compute the probability that less than 7.1% of the individuals in this sample hold multiple jobs as follows:

$P(p$

*Use a z-table.

Thus, the probability that less than 7.1% of the individuals in this sample hold multiple jobs is 0.0043.

7 0

3 years ago

Find cos(a) in the triangle.

kakasveta [241]

What triangle? you need to show the triangle

3 0

2 years ago

Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have

sasho [114]

Answer:

0.3 or 30%

Step-by-step explanation:

Since no innocent student will ever be caught, the probability that a student sends an email and/or text message during a lecture AND gets caught is given by the product of the probability of a student sending a message (60%) by the probability of the professor catching them (50%) :

$P = 0.5*0.6 = 0.3$