Answer: 0.4207
Step-by-step explanation:
Let
be the sample mean area.
Given: Population mean :
sq. feet
Standard deviation:
sq. feet
Sample size : n= 10
The probability that the sample mean area is
or less if the manufacturer’s claim is true.
![P(\overline{x}](https://tex.z-dn.net/?f=P%28%5Coverline%7Bx%7D%3C249.6%29%3DP%28%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B249.6-250%7D%7B2%7D%29%5C%5C%5C%5C%3D%20P%28z%3C-0.2%29%5C%20%5C%20%5C%20%5C%20%20%20%20%20%20%20%5Bz%3D%5Cdfrac%7B%5Coverline%7Bx%7D-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28z%3C0.2%29%5C%5C%3D1-%200.5793%5C%5C%5C%5C%3D0.4207)
Required probability = 0.4207
The expression that is equal is d
Answer:
Step-by-step explanation:
Remark
The way this is worded, it sounds like it is a horizontal distance. However by the marking it looks like they want the hypotenuse. Life can be very confusing sometimes.
The angle of the triangle that you need to know is the one on the right. The line of sight line is parallel to the base of the triangle. So the angle on the right is 8 degrees by the Z theorem.
Solution
Sin(8) = 1817 / x Multiply both sides by x
x*sin(8) = 1817 Divide by sin(8)
x = 1817/sin(8)
sin(8) = 0.1392
x = 1817/0.1392
x = 13055.7
Note
Watch how you do this. I would put it into your calculator as
1817
÷
sin(8)
=
If you use the rounded answer I gave for sin(8), you might get it wrong. This is a big distance and you should just use the exact number you get for sin(8).
Answer:
Okay to start with we know this side isn't congruent to our side with 55 degrees looking at this side we can see that x is not 95 degrees because it is an acute angle so A is crossed out. Next this side isn't congruent like I said so B is crossed out. C is possible but the angle wouldn't be as wide as it is if we had 59 degrees so C is incorrect. Leaving us with D 70 degrees hope this helps and sorry if I got it wrong!
Step-by-step explanation:
The value of x in the segment is 3
<h3>How to determine the value of x?</h3>
Using the secant and segment theorem, we have:
x * (x + 21) = (x + 1) * (x + 1 + 14)
Evaluate the sum
x * (x + 21) = (x + 1) * (x + 15)
Expand
x^2 + 21x = x^2 + 15x + x + 15
Subtract x^2 from both sides
21x = 15x + x + 15
Evaluate the like terms
5x = 15
Divide both sides by 5
x = 3
Hence, the value of x is 3
Read more about secants at:
brainly.com/question/26374536
#SPJ1