Answer:
With a vertex (h, k) at (0, 3) and given that a = -3, then the equation of this parabola in vertex form is as follows:
y = a(x - h)2 + k
y = -3(x - 0)2 + 3
y = -3x2 + 3
Step-by-step explanation:
Answer:
Distance LM = 5.20 unit (Approx.)
Step-by-step explanation:
Given coordinates;
L(1, 4, 7) and M(2, 9, 8)
Find:
Distance LM
Computation:
Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²
Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²
Distance LM = √(1)² + (5)² + (1)²
Distance LM = √1 + 25 + 1
Distance LM = √27
Distance LM = 3√3 unit
Distance LM = 3(1.732)
Distance LM = 5.196
Distance LM = 5.20 unit (Approx.)
Answer:
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 232 V
Sample mean, 
= 231.5 V
Sample size, n = 66
Sample standard deviation, s = 2.19 V
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Step 1: Let's review the information provided to us to answer the problem correctly:
• Option 1: $5.99 for 12 coffees
,
• Option 2: $ 23.99 for 70 coffee
Step 2: Let's calculate the cost of a coffee in each option, as follows:
• Cost of a coffee in Option 1 = 5.99/12 = 0.50 (rounding to the next cent): This means that every cup of coffee costs $ 0.50
• Cost of a coffe in Option 2 = 23.99/70 = 0.34 This means that every cup of coffee costs $ 0.34
Step 3: Now we can decide which is the better deal and why.
The better deal is option ........ because it is cheaper than option..........
You can complete step 3, Kay.
