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2 years ago

9

Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where th

e function is increasing?

2 answers:

Veronika [31]2 years ago

7 0

Answer:

(-1, 1)

Just got done with edge

nikklg [1K]2 years ago

4 0

I assume you mean -x^3 + 4x + 3
so what you need is 4x + 3 > x^3
the only whole number it could be is 2 because 2x2x2 +3 > 2x2x2

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A teacher wants to see if a new unit on factoring is helping students learn. She has five randomly selected students take a pre-

sergiy2304 [10]

Answer:

The <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

Step-by-step explanation:

The confidence interval formula for mean difference for a paired data is as follows:

$CI=\bar x_{d}\pm t_{\alpha/2, (n-1)}\times \frac{s_{d}}{\sqrt{n}}$

Here,

$\bar x_{d}$ = sample mean of the difference,

$s_{d}$ = sample standard deviation of the difference,

<em>n </em>= sample size (both samples are of same size).

$t_{\alpha/2, (n-1)}$ = critical value of <em>t</em>

(<em>n</em> - 1) = degrees of freedom

The information provided is:

<em>n</em> = 5

Confidence level = 95%

The critical value of <em>t</em> is:

$t_{\alpha/2, (n-1)}=t_{0.05/2, (5-1)}$

$=t_{0.025, 4}$

$=2.776$

*Use a <em>t</em>-table for the critical value of <em>t</em>.

Thus, the <em>t</em>-value used for the 95% confidence interval of paired data is 2.776.

4 0

2 years ago

Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on

Vlada [557]

Answer:

See the explanation

Step-by-step explanation:

(a)

H0: Consultant with more experience has the higher population mean service rating.

H1: Consultant with more experience doesn't have the higher population mean service rating.

(b)

t = 1.9923 (see the attached image)

(c)

The degrees of freedom for the test statistic,

df = 16

The P-value of the one tailed t- test with 16 degrees of freedom is,

P−value = tdist(X,df,tails)

P-value = tdist(1.9923,16,1)

P-value = 0.032

(d)

Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.

Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.

Hope this helps!

8 0

2 years ago

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at

Nikitich [7]

Answer:

12

Step-by-step explanation:

0.8 is equal to 80%

you need to figure out 80% of 15

100% = 15

10% = 1.5

(x8)

80% = 12

you would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one

8 0

2 years ago

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If a new star appeared in our solar system that was larger and heavier than the Sun, the planets would MOST LIKELY

crimeas [40]

Answer:

C

Step-by-step explanation:

I think that the planets will keep orbiting the sun but i think the planets might cross paths with the new star.

7 0

2 years ago

The table below shows how much Joe earns, y, after working x hours.

allochka39001 [22]

Both slopes have the same value which is 7.5.

To compute for the slope we will use this formula:
m = y^2 - y^1 over x^2 - x^1

For the first slope, the points are<span> (4, 30) and (12, 90). Substitute and simplify.
m = (90 - 30) over (12 - 4)
m = 7.5

For the second slope, the points are </span><span>(4, 30) and (10, 75). Same with the above computation.
m = (75 - 30) over (10 - 4)
m = 7.5

Since the relationship is linear, the slope does not change. </span>

6 0

2 years ago

Read 2 more answers