Answer:
a: 0.9544 9 within 8 units)
b: 0.9940
Step-by-step explanation:
We have µ = 300 and σ = 40. The sample size, n = 100.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.9544
Next we want the probability of the sample mean to be within 11 units of the population mean, so we want the values from 289 to 311. We want to find
P(289 < x < 311)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(289 < x < 311) = 0.9940
Answer:
x = StartFraction negative
(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
Step-by-step explanation:
0 = – 3x2 – 2x + 6
It can still be written as
– 3x2 – 2x + 6 =0
Quadratic formula=
-b+or-√b^2-4ac/2a
Where
a=-3
b=-2
c=6
x= -(-2)+ or-√(-2)^2-4(-3)(6)/2(-3)
x = StartFraction negative
(negative 2) plus or minus StartRoot (negative 2) squared minus 4 (negative 3)(6) EndRoot Over 2(negative 3) EndFraction
A scale is a term that refers to the <em>representative fraction</em> for comparing the <u>original</u> length and <u>image</u> length of a given <u>object</u>. It means implies that every 1 unit on the <u>drawing</u> is equal to <u>100</u> units on the <u>park</u>.
A <em>scale</em> is a term that can be referred to as the <em>representative fraction</em> that compares the <u>original</u> length and <u>image</u> length of a given <em>object</em>. Types of <u>scale</u> include enlarged scale, reduced scale, and real scale.
- Enlarged scale is a <u>scale</u> that is used when the <u>size</u> of a given <em>object</em> is to be <em>increased</em>.
- <em>Reduced scale</em> is used when the <u>size</u> of a given <u>object</u> is to be <em>decreased</em>.
- <u>Real scale</u> implies the <em>exact size</em> of a given <u>object</u>.
<u>Scale</u> can be expressed as;
Scale = 
Thus a <em>scale</em> has no unit.
Therefore, the given question <em>implies</em> that every 1 unit on the <u>drawing</u> is equal to 100 units on the <u>original</u> park. Thus it is a <em>reduced scale</em>.
For more clarifications on a scale drawing, visit: brainly.com/question/23209981
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No, it isn't. 2.61/6.14 is approximately 0.425, but 3.61/7.14 is about 0.506. If they were similar, than the answers would have to be the same. <span />