Answer:
A) Pd = 13/28
B) Pd = 7/16
Step-by-step explanation:
Given;
Drama = 2
Comedy = 1
Science fiction = 5
Total = 8
a) The probability of selectingat least one drama movie Pd;
Pd = 1 - Pd'
Without replacement;
Probability of not selecting a drama movie Pd' is;
Pd' = 6/8 × 5/7 = 15/28
Pd = 1 - 15/28
Pd = 13/28
b) with replacement;
Probability of not selecting a drama movie Pd' is;
Pd' = 6/8 × 6/8 = 9/16
Pd = 1 - 9/16
Pd = 7/16
36 inches = half the depth of the pool , so depth of pool = 72 inches = 6 ft
Volume of the cube = 6^3 = 216 cu ft
weight of the water = 216 * 56 pounds
= 12096 pounds
Answer:
Step-by-step explanation:
Given
-- degree of freedom
Required
Determine the t-value
The given parameters can be illustrated as follows:
Where
So, we have:
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and is 3.673900
Hence,
Answer:
11 3/4 miles
Step-by-step explanation:
1 5/8 is the pattern so add 8 1/2 + 1 5/8 + 1 5/8 = 11 3/4 miles
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)
