All categories

2 years ago

X

Mathematics

1 answer:

fredd [130]2 years ago

5 0

9514 1404 393

Answer:

(b) (-3, -1)

Step-by-step explanation:

Differences between adjacent f(x) values are ...

-31, -13, -1, +5, +5, -1, -13

The function is increasing on intervals where the differences are positive: between (-3, -11) and (-1, -1). That is ...

f(x) is increasing on (-3, -1)

You might be interested in

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

3 years ago

Write the following as an inequality 6 is greater than or equal to x and -2 is less than or equal to x

kipiarov [429]

Answer:

-2 ≤ x ≤ 6

Step-by-step explanation:

The first is ...

6 ≥ x

and it can also be written as ...

x ≤ 6

The second is

-2 ≤ x

The two inequalities can be combined into one compound inequality:

-2 ≤ x ≤ 6

_____

<em>Comment on this answer</em>

I prefer the answer in this form because it puts the parts of the expression in the same order that they appear on a number line. It can also be written as ...

6 ≥ x ≥ -2

7 0

3 years ago

You can only divide a numerator and denominator one time when finding the simplest form.

morpeh [17]

False. Its as many times until you can no longer divide

8 0

3 years ago

Read 2 more answers

Please help me calculation completing square?<br>x²+2x-24=0?

Anna11 [10]

Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

5 0

3 years ago

Destiny bought 10 1/2 yards of material for costumes for the city pageant she will use one and 140 yards of the material to make

Ray Of Light [21]

Answer:

She can complete 8 costumes

Step-by-step explanation:

6 0

3 years ago