Answer:
We can eliminate the second and third options because marking something up doesn't result in a number less than the original. Since we are told to select 3 options and there are 3 answer choices left we select the first, fourth, and fifth statements.
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
Given:
Results of a spinner shown in the table.
To find:
The experimental probability of the spinner landing on a 1 or 7.
Solution:
From the given table it is clear that,
Spinner landing on 1 = 12 times
Spinner landing on 7 = 9 times
Spinner landing on 1 or 7 = 12+9 = 21 times
Total number of times spinner landed = 12+35+72+29+40+18+9+65+42 = 322 times
Now, the experimental probability of the spinner landing on a 1 or 7 is

Therefore, the correct option is A.
Answer: h(x) = 23
Step-by-step explanation:
Plug x in the equation
h(x) = 4(7) - 5
h(x) = 28 - 5
h(x) = 23
Just draw 24 circles, or sticks, or stars, and then draw 10 little squares in a row twice, and 4 separate square. In the explanation say that there are 24 of whatever shape or thing you decided to draw and, for the regrouped say that 10+10+4=24