Answer:
1 = 115°
2 = 115°
3 = 65°
Step-by-step explanation:
P=65, so S (3) =65
360-65-65=230
230/2=115
Q (1) = 115
R (2) = 115
So you have to find the relationship between the pumpkin diameter (y) and the number of weeks passed (x) in a table, lets do it taking into account that the equation modeling such behaviour is:
y = 2x + 6, where x is the number of weeks and plus original 6 cm
x y
week diameter
0 6
1 8
3 12
5 16
10 26
substitute the x and y values in the equation to see how they fit into it
Answer:
Step-by-step explanation:
Since the number of pages that this new toner can print is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of pages.
µ = mean
σ = standard deviation
From the information given,
µ = 2300 pages
σ = 150 pages
1)
the probability that this toner can print more than 2100 pages is expressed as
P(x > 2100) = 1 - P(x ≤ 2100)
For x = 2100,
z = (2100 - 2300)/150 = - 1.33
Looking at the normal distribution table, the probability corresponding to the z score is 0.092
P(x > 2100) = 1 - 0.092 = 0.908
2) P(x < 2200)
z = (x - µ)/σ/√n
n = 10
z = (2200 - 2300)/150/√10
z = - 100/47.43 = - 2.12
Looking at the normal distribution table, the probability corresponding to the z score is 0.017
P(x < 2200) = 0.017
3) for underperforming toners, the z score corresponding to the probability value of 3%(0.03) is
- 1.88
Therefore,
- 1.88 = (x - 2300)/150
150 × - 1.88 = x - 2300
- 288 = x - 2300
x = - 288 + 2300
x = 2018
The threshold should be
x < 2018 pages
Answer:
Step-by-step explanation:
Let the cost of one soft taco = s
Let the cost of one burrito = b
So we have this system
3s + 3b = 11.25
4s + 2b = 10.00 (1)
Divide the first equation through by 3 and we have that
s + b = 3.75 subtract b from both sides
s = 3.75 - b (2)
Sub (2) into (1) and we have
4 (3.75 - b) + 2b = 10.00 simplify
15 - 4b + 2b = 10.00
-2b + 15 =10.00 subtract 15 from both sides
-2b = - 5.00 divide both sides by -2
b = 2.50
And using (2)
s = 3.75 - 2.50 = 1.50
So... a soft taco 1.50 and a burrito is 2.50
Answer:
31%
Step-by-step explanation:
hope this helps
