What is the domain for y=2x

The ability of lizards to recognize their predators via tongue flicks can often mean life or death for lizards. Seventeen juveni

Sloan [31]

Answer:

Confidence level is (380.7133, 533.2867)

Step-by-step explanation:

Responses in number of tongue flicks per 20 minutes of lizards, are: 727,217, 268, 438, 625, 319, 200, 591, 574, 727, 693, 336, 302, 761, 268, 353, 370

n = 17

Mean (μ) is:

$\mu=\frac{{\Sigma}x}{n} = \frac{727+217+ 268+ 438+ 625+ 319+ 200+ 591+ 574+ 727+ 693+ 336+ 302+ 761+ 268+ 353+ 370}{17} = 439.3529$

Standard deviation (σ) is:

$\sigma=\sqrt{\frac{\Sigma(x-\mu^2)}{n} } =\sqrt{\frac{(727-457)^2+(217-457)^2+...+(370-457)^2}{17} } =191.2$

The confidence interval (c) = 90% = 0.9

$\alpha=1-0.9=0.1\\\frac{\alpha }{2} = 0.05\\Z_{\frac{\alpha }{2} }=1.64$

Margin of error (e) = $=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }=1.64*\frac{191.2}{\sqrt{17} }=76.2867$

Confidence level = μ ± e = 457 ± 76.2867 = (380.7133, 533.2867)

8 0

4 years ago

Simplify by using the distributive property 5 ( 2x - 5 )

drek231 [11]

Hello!

The problem has asked that we simplify the given expression using the Distributive Property. The Distributive Property states the following:

a(b + c) = ab + ac
a(b – c) = ab – ac

In this case, we’ll use the second of the two formulas listed above. Let’s begin by inserting any known values given in the original problem:

a(b – c) = ab – ac
5(2x – 5) = 5(2x) – 5(5)

Now simplify the right side of the equation:

5(2x) – 5(5) = 10x – 25

We have now proven that 5(2x – 5) is equal to 10x – 25. Therefore, the correct answer is C.

I hope this helps!

3 0

4 years ago

Read 2 more answers

Compare the decimals 564.278 and 564.3.

irga5000 [103]

The answer is c less than

7 0

4 years ago

Read 2 more answers

In a list of 100 numbers , the fraction of numbers greater than 15 is (19/25) and the fraction of numbers less than 15 is (7/50)

Bingel [31]

19/25 * 100 = 1900/25 = 76 ....numbers greater then 15
7/50 * 100 = 700/50 = 14....numbers less then 15

100 - (76 + 14) = 100 - 90 = 10 <== numbers equal to 15

6 0

3 years ago

if k is a half-plane determined by QR, then for every real number 0 < x < or = to 180, there is exactly one ray, QQP, that

zloy xaker [14]

Let me start from the meaning of half plane.you must have learned that there are two axes X and Y axes which includes positive X axes and negative X axes and there is positive Y axes and negative y axes. So there are four quadrants which i have explained in the figure. I have explained the meaning of Half plane in the Diagram also. Half plane=Figure obtained by covering any two adjacent regions of the coordinate axes.So we get four half planes.

Now your question is k is a half plane determined by QR, such that 0<x≤180 and there is exactly one ray QRP that lies in k

So, $0< \angle PQR \leq 180^\cir{0}$

8 0

3 years ago