Answer:
Step-by-step explanation:
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?
Given that:
Number of cards = 4
x = Black on both sides = 1
y = Red on both sides = 1
z = Black on one side, red on one side = 2
.i) If the side you see is black, what is the probability that the other side is black = b
Probability of black
P(x) = 1/4 ; p(b|x) = 1
P(y) = 1/4 ; p(y|x) =
Answer:
Step-by-step explanation:
32.12 meters below sea level. The diver ascended to the surface at a rate of 8.8 m/min. So the diver ascended 3.65 meters a minute.
a) Use d=rt. D=distance, t= minutes, r=rate
d=8.8t
b) The distance will never be a negative number because you can't have a negative distance to something.
c) 3.65 minutes for the diver to reach the surface.
Answer:
Domain: {x | x is all real numbers} Range: {y | y ≥ 6}
Step-by-step explanation:
Domain is the set of all x values. No operations restrict the domain in this case. The domain is all real numbers.
Range is the set of all y values. Absolute value has a v shape starting at 0. Adding 6 raises this vertex to 6. The range is therefore all numbers greater than or equal to 6.
Answer:
x = 0.19 or x = -0.76
Step-by-step explanation:
Equation: 7²-4x = 2
reordering the equation,
7x²-4x-2 = 0
Applying,
x = [-b±√(b²-4ac)]/2a..................... Equation 1
From the question,
Given: a = 7, b = -4, c = -2
Substitute these values into equation 1
x = [-4±√(-4²-(2×7×-2)]/(2×7)
x = [-4±√(16+28)]/14
x = (-4±√44)/14
Either
x = (-4+√44)/14
x = (-4+6.63)/14
x = 2.63/14
x = 0.19
or
x = (-4-√44)/14
x = (-4-6.63)/14
x = -10.63/14
x = -0.76
Answer:
<h2>FALSE</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
<h3>tips and formulas:</h3>
order of PEMDAS
- parentheses
- exponent
- multiplication or
- division
- addition
- subtraction
<h3>let's solve:</h3><h2><u>L.</u><u>H.S</u><u>=</u></h2>
- <u>
</u> - <u>
</u>
<h2><u>≠R.H.S</u></h2>
therefore
<h3>the equality is false</h3>
