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3 years ago

I need help in Question 1 and Question 2.

Mathematics

1 answer:

professor190 [17]3 years ago

4 0

For question number one the answer is b the graph lies in quadrant 2. I am I am not sure about the answer for number 2. I hope that number one helps.

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What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?

kompoz [17]

Answer:

x = 0, x = 4, x = -3

Step-by-step explanation:

Factor out the x, which makes it x(x^2-x-12)

Then it will be x(x-4)(x+3)

x = 0

x - 4 = 0, x = 4

x + 3 = 0, x = -3

7 0

3 years ago

A group of 59 randomly selected students have a mean score of 29.5 with a standard

algol [13]

Answer:

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

Step-by-step explanation:

Information given

$\bar X = 29.5$ represent the sample mean

$\mu$ population mean

s= 5.2 represent the sample standard deviation

n=59 represent the sample size

Confidence interval

The confidence interval for the true mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom are given by:

$df=n-1=59-1=58$

The Confidence interval is 0.90 or 90%, the significance is $\alpha=0.1$ and $\alpha/2 =0.05$ , and the critical value is $t_{\alpha/2}=1.671$

Now we have everything in order to replace into formula (1):

$29.5-1.671\frac{5.2}{\sqrt{59}}=28.37$

$29.5+1.671\frac{5.2}{\sqrt{59}}=30.63$

And we can conclude that the true mean for the scores are given by this interval (28.37; 30.63) at 90% of confidence

8 0

3 years ago

Scott starts off working for Dunkin Donuts at $11.15 per hour. He only gets scheduled for 20 hours per week. If he works all 52

arsen [322]

Answer:

week: 223

Year: 11596

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The total temperature measured by 4 thermometers was −16 degrees Fahrenheit. What was the average temperature measured by the 4

Lana71 [14]

Answer:

Step-by-step explanation:

Well average means mean so we have to find the mean of the numbers in the data set. Our numbers are -12,12,-4, and finally 4. When we add all of them up we get 0 and we have to divide 0 by the 4 thermoters and your answer is 0. if this is confusing just leave a comment and ill try to explain better

7 0

4 years ago

Read 2 more answers

You have 10 gallons of lemonade to sell. (1 gal $\approx$ 3785 cm3) a. Each customer uses 1 paper cup. The cups are sold in pack

SpyIntel [72]

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Calculating the volume of cone cup:

$= \frac{1}{3}\pi r^2 h \\\\ = \frac{1}{3}\times 3.14 \times 4^2 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 16 \times 11 \\\\ = \frac{1}{3}\times 3.14 \times 176 \\\\ = 3.14 \times 58.66 \cong 184.31 cm^3$

$\to 10 \ gal \times 3,785\ \frac{cm^3}{gal} = 37,850\ cm^3\\\\\to 37,850 cm^3 \times \frac{(1 \ cone)}{(184.31 \ cm^3)} \times 205.4 \ cones$

When buying 5 packages (250 cones):

$\to 8 \ gal \times 3,785 \ \frac{cm^3}{gal} = 30,280\ cm^3 \\\\\to 30,280 \ cm^3 \times \frac{(1\ cone)}{(184.31 \ cm^3)} \cong \ 165 \ cones$

Calculating the left over cones values:

$\to 250 - 165 = 85$

8 0

3 years ago