Answer:
If we are solving x + 5< 6 the inequality is x< 1
Step-by-step explanation:
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Answer:
Tip given to the server be $6.44 .
Step-by-step explanation:
As given
The Edwards family's bill for dinner is $42.95.
The normal tip is 15%.
15% is written in the decimal form .
= 0.15
Tip given to the server = 0.15 × Cost of the dinner
Putting all the values in the above
= 0.15 × 42.95
= $6.44 (Approx)
Therefore the tip given to the server be $6.44 .
Answer:
For a scientific experiment, a physicist must make sure that the temperature of metal at 0° C gets no colder than -80° C. The physicist changes the metal’s temperature at a steady rate of -4° C per hour. For how long can the physicists change the temperature?
Step-by-step explanation:
Answer:
The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072
Step-by-step explanation:
In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:
p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124
We now need to calculate the probability that one child learns to swim before 6 years of age.
p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)
p(1) = 3.744*0.01634
p(1) = 0.0612
The probability of 1 or less children from that group to learn how to swim before 6 years of age is:
p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244
Answer:
x=3, multiplicity of 2
x=-5, multiplicity of 1
Step-by-step explanation:
f(x) = (x - 3)(x - 3)(x + 5)
Rewriting
f(x) = (x - 3)^2(x + 5)
Setting equal to zero
0 = (x - 3)^2(x + 5)
Using the zero product property
(x-3)^2 = 0 x+5 = 0
x-3 = 0 x= -5
x=3 x-5
Since x-3 was squared, the multiplicity is 2