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Verizon [17]
4 years ago
14

A delivery truck travels 21 blocks north, 12 blocks east and 26 blocks south. what is its final displacement from the origin? as

sume the blocks are equal length.
Mathematics
1 answer:
irakobra [83]4 years ago
4 0
The displacement is 13 blocks since its last position is 5 blocks south and separated 12 blocks east. We got 13 blocks by using triple phytagoras.
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Explanation:

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Cubic functions usually look like an S
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Find the slope of the line that passes through the points (1,-4) and (3,-1).
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8 0
3 years ago
The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and unive
gtnhenbr [62]

Answer: (0.8468, 0.8764)

Step-by-step explanation:

Formula to find the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p}  = sample proportion.

z* = Critical value

n= Sample size.

Let p be the true proportion of GSU Juniors who believe that they will, immediately, be employed after graduation.

Given : Sample size = 3597

Number of students  believe that they will find a job immediately after graduation= 3099

Then,  \hat{p}=\dfrac{3099}{3597}\approx0.8616

We know that , Critical value for 99% confidence interval = z*=2.576  (By z-table)

The 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation will be

0.8616\pm(2.576)\sqrt{\dfrac{0.8616(1-0.8616)}{3597}}

0.8616\pm (2.576)\sqrt{0.0000331513594662}

\approx0.8616\pm0.0148\\\\=(0.8616-0.0148,\ 0.8616+0.0148)=(0.8468,\ 0.8764)

Hence, the 99 % confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. = (0.8468, 0.8764)

4 0
3 years ago
(4x^4 - 14x^3 + 11) - (-14x^6 - 9x^5 - 12x^2) <br><br> Please simplify
yulyashka [42]
=<span><span><span><span><span><span>14<span>x^6</span></span>+<span>9<span>x^5</span></span></span>+<span>4<span>x^4</span></span></span>−<span>14<span>x^3</span></span></span>+<span>12<span>x^2</span></span></span>+<span>11</span></span>
4 0
3 years ago
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