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Ira Lisetskai [31]
3 years ago
10

Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).

Mathematics
2 answers:
tamaranim1 [39]3 years ago
5 0

Answer:

D i did the test

Step-by-step explanation:

madreJ [45]3 years ago
3 0

Answer:

Yes, the trapezoid is an isosceles trapezoid.

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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
The area of the triangle is 28.7 square centimeters. What is the base length of the triangle in centimeters?
Montano1993 [528]

In order to derive the base of a triangle from its area, you need its height as well.

In fact, if we solve the area formula for the base, we have

A=\dfrac{bh}{2} \iff 2A = bh \iff b=\dfrac{2a}{h}

So, the base length would be

b=\dfrac{2\cdot 28.7}{h} = \dfrac{57.4}{h}

where h is the height relative to the base you're interested in.

3 0
3 years ago
The adult height of a male is about 1.19 times his height at age 12. The adult height of a female is about 1.07 times her height
marissa [1.9K]
If you are 12 years old, just measure your own height, then multiply your height by 1.19 if you’re a male, or 1.07 if you’re a female.
6 0
2 years ago
Read 2 more answers
Bart's drive to the airport takes 232323 minutes. What is the latest time Bart can leave to arrive at the airport by a quarter b
Nikitich [7]
It take 23 mins for the drive

He needs to reach the airport by a quarter before 6

a quarter before 6 = 5.45
So he needs to leave 23 mins before 5.45

23 mins before 5.45 = 5.22
6 0
3 years ago
What is 12 + 24 = 2(6 + ___)
zheka24 [161]

Answer:

12

Step-by-step explanation:

I hope it helped:)))))))))

8 0
2 years ago
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