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mezya [45]
3 years ago
9

Mrs. Kimball drew a rectangle on the board and labeled the sides using linear expressions to represent measurements in meters. W

hat is the smallest possible length, in meters, of the shorter side of the rectangle if the perimeter is at least 401 meters?

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0
<span>Mrs. Kimball drew a rectangle on the board and labeled the sides using linear expressions to represent measurements in meters. What is the smallest possible length, in meters, of the shorter side of the rectangle if the perimeter is at least 401 meters?</span>
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If the inspection division of a county weights and measures department wants to estimate the mean amount of
Amanda [17]

If inspection department wants to estimate the mean amount with 95% confidence level with standard deviation 0.05 then it needed a sample size of 97.

Given 95% confidence level, standard deviation=0.05.

We know that margin of error is the range of values below and above the sample statistic in a confidence interval.

We assume that the values follow normal distribution. Normal distribution is a probability that is symmetric about the mean showing the data  near the mean are more frequent in occurence than data far from mean.

We know that margin of error for a confidence interval is given by:

Me=z/2* ST/\sqrt{N}

α=1-0.95=0.05

α/2=0.025

z with α/2=1.96 (using normal distribution table)

Solving for n using formula of margin of error.

n=(z/2ST/Me)^{2}

n=(1.96*0.05)^{2} /(0.01)^{2}

=96.4

By rounding off we will get 97.

Hence the sample size required will be 97.

Learn more about standard deviation at brainly.com/question/475676

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The given question is incomplete and the full question is as under:

If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2 liters bottles to within (0.01 liter with 95% confidence and also assumes that standard deviation is 0.05 liter. What is the sample size needed?

7 0
2 years ago
If w= &lt;2, -5&gt; and y= 2,0&gt;, find 2w+y
Eva8 [605]

Answer:

B

Step-by-step explanation:

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3 0
3 years ago
Pls help this is easy but I a ton of stuff I need to do
cestrela7 [59]

Answer:

x = 4

Explanation:

2 + 2 + 2 = 6

18 - 6 = 12

12 ÷ 3 = 4

4 = x

x = 4

4 0
3 years ago
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The radius of a circle is 2.5 centimeters (cm).<br> What is the circumference of the circle?
erik [133]

Answer:

15.7 cm to nearest 10th

Step-by-step explanation:

Circumference = 2 pi r = 2 pi 2.5

= 5 * pi

= 15.708 cm.

4 0
2 years ago
2 w = 2p - 3z<br> a Find w when p = 8 and z = -2
Eva8 [605]

Answer:

11

Step-by-step explanation:

2w = 2×8 - (-2×3)

2w = 16 - (-6)

2w = 22

w = 11

3 0
3 years ago
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