Answer:
4 /15
Step-by-step explanation:
From the number cube :
Count of Numbers greater than 4 = 16
Sample space of number cube = 20
P(number greater than 4) = 16 / 20 = 4/5
Word : ATTENTION
Count of letters in attention = 9
Count of T's in attention = 3
P(choosing T) = 3 / 9 = 1/3
P(greater than 4, then T) = 4/5 * 1/3 = 4 /15
Answer:
62.22%
Step-by-step explanation:
First, find how many total marbles there are:
12 + 11 + 17 + 5
= 45
Then, find how many marbles that are not blue:
12 + 11 + 5
= 28
Then, divide 28 by 45, and multiply by 100
(28/45) x 100
= 62.22% is the probability of not choosing a blue marble
Answer:
-5y
Step-by-step explanation:
15 = 3×5
55 = 5×11
-15xyz = -1 × 3 × 5 × x × y × z
-55xy² = -1 × 5 × 11 × x × y²
-55yz = -1 × 5 × 11 × y × z
HCF = multiply all common factors with the lowest power amongst all 3 expressions
HCF = -1 × 5 × y = -5y
Answer: 50.2 liters
Step-by-step explanation:
11 liters = 50km
Z liters = 228km
To get the value of Z, cross multiply
228 x 11 = Z x 50
2508 = 50z
Divide both sides by 50
2508/50 = 50z/50
50.16 = z
50.16 has two decimal places, so convert to 1 decimal place by approximation
50.16 = 50.2
Thus, 50.2 liters will be enough for 228km
Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)
