Answer:
Using proportions, the pizza parlor should expect 20 breadsticks and 25 calzone orders if there were 100 total orders.
Step-by-step explanation:
Orders:
Salads 3
Pizzas 8
Sides of breadsticks 4
Pepperoni calzones 5
Total orders: 20
Proportion of sides breadsticks=4/20=0.2
Proportion of pepperoni calzones=5/20=0.25
For 100 total orders:
Sides of breadsticks=0.2(100)=20
Pepperoni calzones=0.25(100)=25
Answer: About 3.06
Step-by-step explanation:
We can use trigonometry functions to solve for AC. Let the ?, representing AC, be "x" in our mathematical work.
Since we have the hypotenuse and x is adjacent to the angle given, I am going to use cosine.
cos(θ) = 
cos(40) = 
0.766 ≈
3.06 ≈ x
x ≈ 3.06
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
1.y=2x+7
2.y=1/2x+2
Step-by-step explanation:
Graph 1-
The slope-intercept form is y=mx+b
b= y-intercept which in graph 1 is 7
so y=mx+7
in order to find m you use the y2-y1/x2-x1 equation.
This means find two coordinates on the graph such as (0,7) and (-1,5).
Now find y2:5
y1:7
x2:-1
x1:0
y2-y1= 5-7=-2
x2-x1= -1
That gives you -2/-1 which you then simplify to = 2
So the graph would be y=2x+7
Graph 2:
You will do the same steps: Find where the line passes through y on a graph, which will be y=2.
b=2
y=mx+2
then find two coordinates, (0,2)(2,3)
y2=3
y1=2
x2=2
x1=0
y2-y1=3-2=1
x2-x1=2-0=2
The slope of the graph which is m= 1/2
y=1/2x+2
