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Lady_Fox [76]
3 years ago
8

Answer will give brainliest

Mathematics
2 answers:
Lemur [1.5K]3 years ago
4 0

Answer:

1.-202

2.4i-1

3. 195-65i

Step-by-step explanation:

myrzilka [38]3 years ago
4 0

Answer:

-202

Step-by-step explanation:

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It took Fabian 40 minutes to dig 5 post holes. If he continues at this rate, how long will it take him to dig 20 post holes?
kipiarov [429]

Set up a proportion!

40 minutes / 5 holes = m minutes / 20 holes

Cross multiply.

800 = 5m

m = 160.

It will take him 160 minutes to dig 20 post holes.

Good luck Fabian!

Hope this helps

6 0
3 years ago
Which is the approximate solution to the system y = 0.5x + 3.5 and y = −x + shown on the graph?
Archy [21]
I'm assuming there is a graph with both functions plotted. The solution would be the point at which these two functions intersect. That coordinates of x and y for that point will yield the solutions for x and y that solve the system of equations.
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A player of a video game is confronted with a series of 4 opponents and an 80% probability of defeating each opponent. Assume th
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3 years ago
In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

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 of the interval is:

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

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

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.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

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

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
3 years ago
Draw an area model 1.1x2.4
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