4+3n^2 only has two terms since 4 is one term and 3n^2 is another. They each have their individual coefficients and powers.
Answer:
>
Step-by-step explanation:
1 - 3 ?? -4
-2 ?? -4
The appropriate symbol for this ?? relation is >.
1 -3 > -4
Answer:
D
Step-by-step explanation:
If (x - 5) is a factor of P(x) then P(5) = 0 ← Factor theorem
Given
P(x) = x³ - 5x² - x + 5, then
P(5) = 5³ - 5(5)² - 5 + 5 = 125 - 125 - 5 + 5 = 0
Since P(5) = 0 then (x - 5) is a factor of P(x)
Answer:
Step-by-step explanation:
Let X denote the random variable that obeys the normal distribution.
Given that:
<u>For morning flights</u>
Mean
= 15
standard deviation
= 5
Sample size
= 10
![X_1 \sim Normal ( \mu_1, \sigma _1)](https://tex.z-dn.net/?f=X_1%20%5Csim%20Normal%20%28%20%5Cmu_1%2C%20%5Csigma%20_1%29)
The Z - score is calculated as:
![Z = \dfrac{x_1 - \mu_1}{\sigma_1}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7Bx_1%20-%20%5Cmu_1%7D%7B%5Csigma_1%7D)
![Z = \dfrac{30 -15}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B30%20-15%7D%7B5%7D)
![Z = \dfrac{15}{5}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B15%7D%7B5%7D)
Z = 3
<u>For evening flights</u>
Mean
= 20
standard deviation
= 3
Sample size
= 10
![X_2 \sim Normal ( \mu_2, \sigma _2)](https://tex.z-dn.net/?f=X_2%20%5Csim%20Normal%20%28%20%5Cmu_2%2C%20%5Csigma%20_2%29)
![Z = \dfrac{x_2 - \mu_2}{\sigma_2}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7Bx_2%20-%20%5Cmu_2%7D%7B%5Csigma_2%7D)
![Z = \dfrac{30 -20}{3}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B30%20-20%7D%7B3%7D)
![Z = \dfrac{10}{3}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cdfrac%7B10%7D%7B3%7D)
Z = 3.33
Hence, from the above z-scores, we will realize that the evening flight is more late than usual.
0.059.
The calculator on goggle says that 59 grams is equal to 0.059 kilograms