Answer:
c = 
Step-by-step explanation:
To make a perfect square
add ( half the coefficient of the x- term )² to x² + 5x
x² + 5x + (
)²
= x² + 5x + 
= (x +
)² ← a perfect square
Answer:
52/ 10 = 5 2/10 or 5 1/5
Step-by-step explanation:
first turn the mixed fractions into improper fraction
13 1/10= 131/10
7 9/10= 79/10
since the two fractions already have a common denominator just subtract
131 - 79 = 52
52/ 10 = 5 2/10 or 5 1/5
Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
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) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
Round 4/3 to the nearest half you should come up with 2/3
It’s £4.5
Convert 25 to a decimal so 0.25
0.25 x 18 = 4.5