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2 years ago

6

Find the slope of the line y= -1/3x-6

1 answer:

Diano4ka-milaya [45]2 years ago

6 0

Answer:

-1/3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

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If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the d

katen-ka-za [31]

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Sample size needed

At least n, in which n is found when $M = 0.09$

We don't know the proportion, so we use $\pi = 0.5$ , which is when we would need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.09\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}$

$n = 118.6$

Rounding up

We need a sample size of least 119

6 0

3 years ago

Carpet Company A

Ann [662]

Answer:

2.45

Step-by-step explanation:

7 0

2 years ago

The population of a culture of cells grows according to the function P(t)= 90t/ t + 1, where t> or =0 is measured in weeks. C

butalik [34]

Answer:

The average rate of change is $\frac{18}{5}$

Step-by-step explanation:

Given function that shows the population of a culture of cells,

$P(t)=\frac{90t}{t+1}------(1)$

Where, t represents the number of weeks.

Thus, the average rate of change in the population over the interval [0,24],

$m=\frac{P(24)-P(0)}{24-0}$

From equation (1),

$=\frac{\frac{90\times 24}{24+1}-\frac{90\times 0}{0+1}}{24}$

$=\frac{\frac{2160}{25}-\frac{0+1}{0}}{24}$

$=\frac{2160}{25\times 24}$

$=\frac{2160}{600}$

$=\frac{18}{5}$

6 0

4 years ago

How do you answer the equation -4r+11=4(1-r)+7?

kow [346]

Answer:

Any value of

r

makes the equation true.

All real numbers

Interval Notation:

(-Any value of

r

makes the equation true.

All real numbers

Interval Notation:

( ∞ ,∞ )

Step-by-step explanation:

3 0

3 years ago

Solve by factoring. m^2+8m+7=0 A. 8,7 B. -7,1 C. -7,-1 D. 7,1

REY [17]

The answer is c, -1 or -7

Hope this helped :)

5 0

4 years ago