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:
12c square meters
Step-by-step explanation:
We know that
Area of a rectangle = length (L)× width(w)
Here it is given that length ,and width of the rectangle is 6c meters and 2 meters respectively.
Therefore, required area of the rectangle = 6c × 2 = 12c square meters.
The answer would have to be B
The last one is correct n>9 and n<7 there should be a line underneath the (<,>) to make it less than or equal to
Answer:
A 2(4m + 3) Distribute 8m +6 match
C 8m + 6 This matches
Step-by-step explanation:
18 + 4(m − 3) + 4m
First distribute
18+ 4m -12 +4m
Then combine like terms
8m +6
Now see which expressions match
A 2(4m + 3) Distribute 8m +6 match
D 4(2m + 4) Distribute 8m + 16 no match
B 5m + 19 This does not have 8m no match
E 8m + 16 This does not have 6 as a constant no match
C 8m + 6 This matches
