Answer:
[34,54]
Step-by-step explanation:
-The empirical rule states that the 95% of the sampled observations will fall within two standard deviations of the mean for a normally distributed population.
Where:
- 68% is the first standard deviation
- 95% is the second standard deviation about the mean
- 99.7% is the 3rd standard deviation about the mean.
-Therefore. the middle 95% interval is calculated as:
![CI=\mu+2\sigma\\\\=44\pm 2(5)\\\\=44\pm 10\\\\=[34,54]](https://tex.z-dn.net/?f=CI%3D%5Cmu%2B2%5Csigma%5C%5C%5C%5C%3D44%5Cpm%202%285%29%5C%5C%5C%5C%3D44%5Cpm%2010%5C%5C%5C%5C%3D%5B34%2C54%5D)
Hence, the interval is [34,54]
Answer:
Step-by-step explanation:
<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:
<em>P(inside larger square and outside smaller square)</em> = area of interest / total area
<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square
<u>Calculations:</u>
<u />
1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²
2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²
3. <u>Area inside the larger square and outside the smaller square</u>
- 100 cm² - 49 cm² = 51 cm²
4.<u> P (inside larger square and outside smaller squere)</u>
- 51 cm² / 100 cm² = 51/100
Hi there! A = 78
A + 44 = B
We can plug in the values of A and B into the equation. We then get an equation with only one variable (x), which we can solve.
1x + 76 + 44 = - 6x + 134
Collect terms.
1x + 120 = - 6x + 134
Add 6x to both sides.
7x + 120 = 134
Subtract 120 from both sides
7x = 14
Divide both sides by 7
x = 14 / 7 = 2
A = 1x + 76
Now plug in the value of x we just found
A = 2 + 76 = 78
Answer:.
x greater than or equal to -8
Step-by-step explanation:
x+22-13x≥118
Collect like terms
x-13x≥118-22
-12x≥96
Divide both sides by -12
-12x/12≥96/-12
x≥96/-12
x≥-8
The answer is x greater than or equal to -8
