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Andrews [41]
3 years ago
11

What's 3 and 1 in a half

Mathematics
1 answer:
noname [10]3 years ago
7 0
The answer to the question is 4 1/2
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You are trying to estimate the average amount a family spends on food during a year. In the past the standard deviation of the a
svetoff [14.1K]

Answer:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

Step-by-step explanation:

We have the following info:

ME = 50 margin of error desired

\sigma = 1000 the standard deviation for this case

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =50 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance is \alpha=0.01. And for this case would be z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(1000)}{50})^2 =2662.56 \approx 2663

So the answer for this case would be n=2663 rounded up to the nearest integer

5 0
3 years ago
Estimate m :140 = m + 125
8090 [49]

The estimation for m would be 120. Happy thanksgiving

5 0
3 years ago
Read 2 more answers
The pentagonal prism has a perpendicular distance of 14 units between the bases. The volume of the prism is 840 cubic units. Wha
nadezda [96]
<span>Prism Volume = Area of Base • Height
</span>
Area of Base = Prism Volume / Height
Area of Base = 840 / 14
Area of Base = 60
pentagon area = 5 * side^2 / 4 * tan (180 / 5)
side^2 = [pentagon area * 4 * tan (180 / 5)] / 5
side^2 = [60 * 4 * tan (36)] / 5

side^2 =240 * 0.72654 / 5

side^2 = <span> <span> <span> 174.3696 </span> </span> </span> / 5
side^2 = <span> <span> <span> 34.87392 </span>
</span></span>
side = <span> <span> <span> 5.9054144647 </span></span></span>
Pentagon Perimeter = <span> <span> <span> 5.9054144647</span></span></span>* 5
<span><span><span>Pentagon Perimeter = 29.5270723235 </span> </span> </span>




4 0
3 years ago
Read 2 more answers
What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

<u>Step-by-step explanation:</u>

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

  • (h, k) is the center of the ellipse
  • a is the x-radius
  • b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

6 0
3 years ago
Simplify the expression 7.8n²+0.5+9n-.0.4-7n+n²​
Natali [406]

The final answer for this question would be.....

8.8n^2+16n+0.1

Hope this helps!!!!

4 0
3 years ago
Read 2 more answers
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