Answer:
7) a= 20
8) m= 5
9)n = 5
10) b = 8
Step-by-step explanation:
7) 18+2=-2+2+a
>> 20 = a >> a = 20
18 + 2 = 20 so that isolates the variable leaving a = 20
8) -7+12 = m -12+12
>>> 5 = m >> m = 5
-7 + 12 = 5 so that again isolates the variable leaving m = 5
9) <u>-8(7</u> + <u>7n</u>) = -336
>> -56+56 + -56n = -336+56
>>> -56n/-56 = -280/-56
>>>> n = 5
use distributive property, cancel out necessary numbers, isolate the variable. leaving n = 5.
10) -140 = <u>-7(-4 </u>+ <u>3b)</u>
>> -140 = 28 - 21b >> -140-28 = -21b +28-28 ( flipped the numbers)
>>> -168/-21 = -21b /-21
>>>> 8 = b >> b =8
Hope it helps!
<u><em /></u>
Answer:
<em>I would Say the Coefficents Are P, and Z</em>
<em>And the Terms Are 5p , 7z,</em>
Step-by-step explanation:
<u><em>The definition of a coefficient is a number or symbol that helps to provide a mathematical result.</em></u>
<u><em>term can be a signed number, a variable, or a constant multiplied by a variable or variables</em></u>
<h2>At time 9 : 00 AM they are 135 miles apart.</h2>
Step-by-step explanation:
Nancy leaves the house at 7:00 A.M. and averages 15 miles per hour. Mark leaves at 7:15 A.M. and averages 60 miles per hour.
Let the time after the start of Mark when they are 135 miles apart be t hours.
Time traveled by Nancy = t + 7:15 - 7:00 = t + 15 minutes = (t+0.25) hours
They are traveling in the opposite direction so,
Distance between them = Speed of Nancy x Time of travel of Nancy + Speed of Nancy x Time of travel of Nancy
135 = 15 x (t+0.25) + 60 x t
135 = 15t + 3.75 + 60t
75t = 131.25
t = 1.75 hours = 1 hour 45 minutes
Time = 7: 15 + 1 hour 45 minutes = 9 : 00 AM
At time 9 : 00 AM they are 135 miles apart.
Answer:
C) B>A
Step-by-step explanation:
if it doesn't make sense think of it like the number in between A and B is .5. You can visibly see that A is less than or below .5 and B is above or greater than .5, so B is greater than A.
<h3>
Answer: P(3) = 0.20</h3>
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Explanation:
The Poisson PDF value is given by the function
P(x) = ( e^(-mu)*mu^x )/(x!)
where the exclamation mark indicates a factorial
In this case, mu = 4, so we can update the equation into
P(x) = ( e^(-4)*4^x )/(x!)
Now plug in x = 3 to finish off the problem
P(x) = ( e^(-4)*4^x )/(x!)
P(3) = ( e^(-4)*4^3 )/(3!)
P(3) = 0.1953668148129
P(3) = 0.20
Note: The 'e' is a special constant which is approximately e = 2.718, similar to how pi = 3.14 is a constant used often.