Answer:
4
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
4(x-4)-3x=10
- Rule = a(b + c) = ab + ac
- Rule = a(b - c) = ab - ac
4(x-4) = 4x - 16
4(x-4)-3x=10
4x - 16 - 3x = 10
x - 16 = 10
x -16 +16 = 10 +16
x = 26
Hope this helps ^-^
Answer:
<em>A = 32²cm</em>
Hope this helped!
Step-by-step explanation:
<h3>A = lw/2</h3>
<u>We know that the width is 8cm, and that the length of the rectangle and triangle combined is 14cm.</u>
<u />
How we find the length of the triangle itself is 14cm - 6cm, since 6cm is the rectangles length (which we know because it gives it to us at the top!)
14cm - 6cm = 8cm
<h3>Now we can plug into our formula and solve</h3>
A = 8(8)/2
A = 64/2
<h3><em>A = 32²cm</em></h3>
Answer:
We know that the sum of the first two sides is greater than the largest side.
7 + 11 > x
x is the third side.
18 > x
x < 18
The sides of the triangle are 7, 11, and 17.
The product = 7 × 17 = 119
Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.