Let's solve ~
Calculate discriminant :
Now, let's calculate it's roots ( x - intercepts )
So, the intercepts are :
and
Answer:
Failed to Reject Null Hypothesis
Step-by-step explanation:
Null Hypothesis: The means from two respective diets are the same Alternative Hypothesis: The two means from the two diets differ.
Fall in Cholesterol (mg/dL)
Diet n Mean SD
Rice 7 14.4 7.8
Vegetable 9 12.19 7.86
Answer:
≈ 12.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the third side, then
x² + 6² = 14²
x² + 36 = 196 ( subtract 36 from both sides )
x² = 160 ( take the square root of both sides )
x = 
≈ 12.6 ( to the nearest tenth )
Answer:
Naomi had the correct measurement the ring weighed 0.625 carats
Step-by-step explanation:
* The diamond ring weighed 5/8 carats
- To know who is right lets change the fraction 5/8 to a decimal number
∵ 5/8 means 5 ÷ 8
- 5 is smaller than 8 so we will multiply it by 10 and
insert decimal point in the quotient (answer of division)
∴ It will be 50 ÷ 8 = 6 and remainder 2/8 ⇒ 1/4
∴ The quotient = 0.6 and remainder 1/4
- 1 is smaller than 4 so we will multiply it by 10
∴ It will be 10 ÷ 4 = 2 and remainder 2/4 ⇒ 1/2
∴ The quotient = 0.62 and remainder 1/2
- 1 is smaller than 2 so we will multiply it by 10
∴ It will be 10 ÷ 2 = 5 without remainder
∴ The quotient = 0.625
* Naomi had the correct measurement the ring weighed 0.625 carats
