Answer:
a = 50t
Step-by-step explanation:
The graph goes through (0,0) so the y intercept is 0
a=5t
a=50t
a=50 + t not it
a=10t
The slope is y/x since the y intercept is 0
m = 50/1 = 50
The equation for the line is
y = 50x+0
y = 50x
Using the variables given
a = 50t
Answer:
9
Step-by-step explanation:
This is because 21/7 is 3. So, you use the scale factor of 3 to divide 27/3 to get x which is 9.
Answer:
The population of bacteria is increasing.
Step-by-step explanation:
The function modelling the population of bacteria in the given culture is an exponential function; We have a base 1.03 and an exponent t. An exponential function is said to be increasing if the base is strictly greater than 1, this implies that the population of the bacteria is increasing as t increases from 0 to infinity.
Answer:
Our answer is 0.8172
Step-by-step explanation:
P(doubles on a single roll of pair of dice) =(6/36) =1/6
therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)
=1-(1-1/6)3 =91/216
for 12 players this follows binomial distribution with parameter n=12 and p=91/216
probability that at least 4 of the players will get “doubles” at least once =P(X>=4)
=1-(P(X<=3)
=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)
=1-0.1828
=0.8172
Answer:
8x + 14
Step-by-step explanation:
12x - 4x + 3 + 11 <em>(</em><em>Subtract</em><em> </em><em>12x</em><em> </em><em>-</em><em> </em><em>4x</em><em>)</em>
8x + 3 + 11<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>(</em><em>Add</em><em> </em><em>3</em><em> </em><em>+</em><em> </em><em>1</em><em>1</em><em>)</em>
8x + 14
Tip: the like-terms 12x and 4x can be subtracted like regular numbers because they have the same variable and exponent.
