Answer:
Slope = 1
Step-by-step explanation:
Slope = change in y/change in x
= (8-5)/(5-2)
=3/3
Answer:
Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>
- red, then blue or blue, then red
<u>Find the probability of each case:</u>
- P(r, b) = 5/9*4/8 = 5/18
- P(b, r) = 4/9*5/8 = 5/18
<u>Probability of exactly one red:</u>
Answer:
The chi-square null hypothesis for the study that "socioeconomic status is related to smoking behavior" is False
Step-by-step explanation:
The chi-square null hypothesis is false because the chi-square null hypothesis states that no relationship exists on the categorical variables in a population, they are all independent of each other.
Given:
Sides of triangles in the options.
To find:
Which could NOT be the lengths of the sides of a triangle.
Solution:
Condition for triangle:
Sum of two smaller sides of a triangle must be greater than the longest side.
In option A,

Sides 5 in, 5 in, 5 in are the lengths of the sides of a triangle.
In option B,

Sides 10 cm, 15 cm, 20 cm are the lengths of the sides of a triangle.
In option C,

Sides 3 in, 4 in, 5 in are the lengths of the sides of a triangle.
In option D,

Since, the sum of two smaller sides is less than the longest side, therefore the sides 8 ft, 15 ft, 5 ft are not the lengths of the sides of a triangle.
Therefore, the correct option is D.
Answer:
a = 2 5/8
Step-by-step explanation:
14a - (2a + 9) = 3 (12a - 18)
14a - 2a + 9 = 36a - 54
12a + 9 = 36a - 54
12a - 36a = -54 - 9
-24a = -63
a = -63/-24
a = 21/8
a = 2 5/8