Answer:
7.62
Step-by-step explanation:
use the Pythagorean theorem
3^2+7^2=58
the square root of 58 is about 7.62
The margin of error of the random selection is 0.29
The given parameters are:
--- the sample size
--- the standard deviation
--- the mean
--- the confidence level.
The margin of error (E) is calculated as follows:

So, we have:


The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z


Take square roots

Multiply

Approximate

Hence, the margin of error is 0.29
Read more about margin of error at:
brainly.com/question/14396648
Step-by-step explanation:
You can solve systems of equations using either substitution or elimination. For these problems, I recommend elimination. I'll do the first one as an example.
-3x + 16y = 9
-4x + 8y = 12
Multiply the second equation by -2.
8x − 16y = -24
Add to the first equation (notice the y's cancel out).
(-3x + 16y) + (8x − 16y) = 9 − 24
5x = -15
Solve for x.
x = -3
Now you can plug this into either equation to find y.
-3(-3) + 16y = 9
9 + 16y = 9
y = 0
The solution is (-3, 0).
Answer:
Direct & Inverse Proportion (H) - Version 2 January 2016 . A collection of 9-1 Maths GCSE Sample and Specimen questions from AQA, . 1. 2. Write an expression for y in terms of x. [4]. 2. A pebble is thrown vertically upwards. . (b) Find the initial speed of the pebble if the maximum height reached is 16 m. . T is given by.
Answer:
x = 1
Step-by-step explanation:
14 -4x = 10
-4x = -4
x = 1