Answer:
a = 4
Step-by-step explanation:
Given equation:
4a - 5 = 11
Add 5 to both sides:
⇒ 4a - 5 + 5 = 11 + 5
⇒ 4a = 16
Divide both sides by 4:
⇒ 4a ÷ 4 = 16 ÷ 4
⇒ a = 4
The required probability is
a) both are cups is 0.05
b) At least one cup is 0.19
c) One is a cup and the other is a sword is 0.06
<h3 /><h3>What is probability?</h3>
Probability can be defined as the ratio of favorable outcomes to the total number of events.
a) for both are cups
P= 12*11/48*47
p = 0.05
b) for At least one cup
p = 12*36/48*47
p = 0.19
c) for One is a cup and the other is a sword
p = 12*12/48*47
p = 0.06
Thus, the required probability is 0.05, 0.19, 0.06
Learn more about probability here:
brainly.com/question/14290572
<h3>#SPJ1</h3><h3 />
A rational number between the two given ones is -0.455, such that:
-0.45 > -0.455 > -0.46
<h3>How to find a rational number between the two given ones?</h3>
A rational number is any number that can be written as a quotient between two integer numbers.
Particularly, any number with a finite number of digits after the decimal point is also a rational number.
So to find a rational number between -0.45 and -0.46 we could se:
-0.455, such that:
-0.45 > -0.455 > -0.46
Learn more about rational numbers:
brainly.com/question/12088221
#SPJ1
Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
20.25
Step-by-step explanation:
