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2 years ago

The polynomial function p(x) = x3 – 4x2 + ax + 20 has (x + 1) as one of its factors.

Mathematics

1 answer:

Murljashka [212]2 years ago

8 0

42
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Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts

Alexxandr [17]

Answer:

The value of the test statistic is $t = 2.67$

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 7.8$

The alternate hypotesis is:

$H_{1} \neq 7.8$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

In this problem, we have that:

$X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16$

Then

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}$

$t = 2.67$

The value of the test statistic is $t = 2.67$

5 0

3 years ago

A marble is randomly selected from a bag. The probability of selecting a marble with dots on it is 0.2. The probability of selec

marin [14]

Answer:

0.5

Step-by-step explanation:

Let D be the event of selecting a marble with dots.

Let P be the event of selecting a purple marble.

The probability of selecting a marble with dots, P(D)=0.2

The probability of selecting a marble that is both purple and has dots, $P(D \cap P)=0.1$

We want to determine the probability of selecting a purple marble given that the marble has dots on it, P(P|D)

By the definition of conditional probability:

$P(P|D)= \dfrac{P(P \cap D)}{P(D)} \\= \dfrac{0.1}{0.2}\\ =0.5$

The probability of selecting a purple marble given that the marble has dots on it is 0.5.

4 0

3 years ago

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, fin

motikmotik

Step-by-step explanation:

200,000 X 50,000 = 100000000

7 0

3 years ago

C(1)=−20<br> c(n)=c(n−1)+10<br><br> Find the second term in the sequence. <br>

svet-max [94.6K]

Answer:

c(2) = -10

Step-by-step explanation:

The first equation says that the first term of the sequence is -20.

The second equation is saying that to find any term of the sequence, add 10 to the previous term.

c(2) = c(2-1) + 10

c(2) = c(1) + 10

c(2) = -20 + 10 = -10

5 0

3 years ago

How can I find the y-intercept of 3x-2y≤10?

frosja888 [35]

Answer:

Step-by-step expla3

x − 2 y < 10

Solve for y .

Tap for more steps...

y > − 5+ 3 x 2

Find the slope and the y-intercept for the boundary line.

Tap for more steps...

Slope:

3 2

y-intercept:

( 0 , − 5 )

Graph a dashed line, then shade the area above the boundary line since

is greater than

− 5 + 3 x 2 . y > − 5 +3 x2

4 0

3 years ago