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zysi [14]
3 years ago
6

Solve the system of equations below by graphing. Y=-5x and y=x-6

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
5 0

9514 1404 393

Answer:

  (x, y) = (1, -5)

Step-by-step explanation:

Using a graphing calculator to solve equations such as these is quick and easy. It is one of my favorite methods. The attached graph shows the solution is ...

  (x, y) = (1, -5)

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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

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

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

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

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
Given cosθ=3√3 and sinθ<0 . What is the value of sinθ ?
guapka [62]

Answer:

Doesn't make sense.

Step-by-step explanation:

-1 ≤ cosθ ≤ 1

=> cosθ = 3√3 doesn't make sense.

7 0
2 years ago
At a summer camp, there are 15 counselors, 5 cooks, and 120 campers. 5 points
lesya [120]

Answer:

eto 1:12 pero di ko sure,antayin mo nlng yung sagot ng iba

8 0
3 years ago
What is the reading on each of the scales??
kipiarov [429]
First number is length on map and second is the length in reality. Both are in kilometers.
5 0
3 years ago
Is (-1,2) a solution of y=-2x-1
Klio2033 [76]
A solution of a function is where the function hits the x-axis, so if y is any number that is not equal to 0, there is no possible way that point can be a solution. 

Hope this helps!
7 0
3 years ago
Read 2 more answers
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