85% of 690 lbs would be 586.5


To solve these type of problems you need to use the pythagoras theorem ⇨ Hypotenuse² = Base² + Altitude².
Here,
- Altitude = 1.6 cm.
- Base = 1.2 cm
- Hypotenuse = x
Now, let's solve for x.
Hypotenuse² = Base² + Altitude²
x² = (1.2)² + (1.6)²
x² = 1.44 + 2.56
x² = 4
x = √4
x = <em><u>2</u></em><em><u>.</u></em>
- So, the value of x is <em><u>2</u><u> </u><u>cm.</u></em>
<h3>
<u>NOTE</u><u> </u><u>:</u><u>-</u></h3>
- Pythagoras theorem can be used only in the cases of right-angled triangles. Here, it's given that the triangle is right angled so we can use this theorem.
- To solve the squares if decimals, take them as whole numbers & then just add the decimal points. For example, ⇨ for (1.2)², take it as 12² , then multiply 12 by 12, you'll get 144. Now, add the decimal place accordingly ⇨ 1.44 . So, (1.2)² = 1.44.
Answer:
And rounded up we have that n=1068
Step-by-step explanation:
We have the following info given:
the confidence level desired
represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
(a)
The confidence level is 95% or 0.95, the significance is
and the critical value for this case using the normal standard distribution would be 
Since we don't have prior information we can use
as an unbiased estimator
Also we know that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1068
Answer: D
Step-by-step explanation:
10 squared is 100 and 11 squared is 121, and 111 is in between those two numbers.