Answer:
The answer to the nearest foot is = 15 feet
Step-by-step explanation:
Solution
The first set taken is to Compute L for a 55-mph speed limit
Given that
L =(θ2 -θ1)/200 (h +S Tan ∝) =
= ( u + 5) 336²/200 (1.9 +336 tan 0.7°)
= 9° (336)²/200 (1.9 +336 tan 0.7°) = 14.7652094
= 15 feet { 9° = 9*π/180 = π/20}
Note: Kindly find an attached image for the complete question given and answered
Answer:
Example of qualitative variable: hair colour.
Example of discrete quantitative variable: age.
a) Qualitative data displays are pie charts, histograms
b) Quantitative data displays are scatter and line graphs.
Step-by-step explanation:
A qualitative variable expresses a non-numerical quality of an object or person. For example, hair colour (brown, blonde, red...) or eye colour (green, blue, brown...).
A quantitative variable is a numerical value. For example, temperature (100 K, 2000 K...) or age (12 years, 20 years...).
A discrete quantitative variable can be obtained by counting, like the number of cars in a road. This is plotted in scatter graphs. For continuous variable, it can be obtained by measuring, like the height of your family members. This is plotted in line graphs.
- Pie charts: is a circular graphic that shows the statistics or number of people or objects with certain characteristics. For example, how many people have brown hair, how many are blonde and how many are redheaded.
- Histograms: they show vertical bars associated with the qualitative variable in the x-axis and the number of objects or people with that characteristic in the y-axis.
- Scatter: it is a graph with x and y axis and using Cartesian coordinates. Since it is for quatities, numbers can be represented as points.
- Line graphs: it is basically the same as a scatter plot but in this case the points can be joined by a line because the quantities are connected or are continuous.
we have 
which is a cubic function.
and 
.
from f(x) and g(x) we know that both are cubic and g(x) has shrink of 1 and up by 4 units in x axis .
Answer:
Sofia will order 7 more rolls of sushi (84 pieces) and pay $56
Step-by-step explanation:
They need at least 100 pieces of sushi
Sofia had ordered and paid for 24 pieces of sushi already
Sushi comes in rolls
Each roll=12 pieces at $8
R=additional rolls that Sofia orders
Additional sushi= Needed sushi - ordered sushi
=100-24
=76 pieces of sushi
Each roll has 12 pieces
76/12=6.33
Sofia has to order in rolls
So, she will order 7 more rolls of sushi of 12 pieces each
12*7=84 pieces
Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100
If Sofia orders 84 pieces + the already ordered 24 pieces
Total pieces=108 pieces
She has paid for 24 pieces (3 rolls) at $8 per roll
7 rolls=$8*7
=$56
The probability of the pointer lands on red(R) both spin = 
Step-by-step explanation:
Given,
The number of parts = 6
The pointer is spun twice.
To find the probability of the pointer lands on red(R) both spin.
Formula
Probability of an event = number of required outcomes ÷ the total number of outcomes.
P(A and B) = P(A)×P(B)
Now,
For one spin,
A = RED comes.
For second spin,
B = RED comes
So,
P(A) = 
and P(B) =
Then,
P(A and B) = × =
Hence, the probability of the pointer lands on red(R) both spin =
