Martha is indeed right when she states that -6 is a rational number. Just like the name implies, a rational number is a number that can be written as a/b with b not equal to 0. Since -6 can be written as -6/1, and since that is a ratio, that is why -6 is a rational number.
Answer:
0.2857
Step-by-step explanation:
The probability of interest is the area under the probability density curve between the z-values associated with the temperature limits of interest.
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The first attachment shows a "sketch" of the distribution and the area of the portion of interest. (It also shows the probability as 0.2858.)
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The second attachment shows the table values of interest for this problem. The z-values that we want to look for in the table are ...
z1 = (0.50° -0°)/1.00° = 0.50
and
z2 = (2.00° -0°)/1.00° = 2.00
The area of the probability density function to the left of each of these z-values is given in the table, so the area between them is the difference of table values:
0.9772 -0.6915 = 0.2857
The probability of a reading between 0.50 and 2.00 is about 0.2857.
Answer:
x=26 degrees (D)
Step-by-step explanation:
Let's say x is the angle.
90-x would be the complement of the angle
180-x is the supplement
We can make the equation
supplement-26=2complement as the question states that twice the complement is 26 less than the supplement.
We can now substitute the 90-x and 180-x in their respective positions to get (180-x)-26=2(90-x) if we simplify this we get 180-x-26=180-2x which if we take away 180-x from both sides we get that -26=-x or 26=x
Answer:
c) 4
The value of z= 4
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given equations are
3x - y =16 .. . (i)
3x -4z =2 .. . (ii)
2x +y = 14 .. .(iii)
solving (i) and (ii) equations , we get
Adding (i) and (ii)
3 x -y + 2x +y = 16 +14
5 x = 30
x = 6
<u><em>step(ii):-</em></u>
Substitute 'x' =6 in equation (i), we get
3(6) -y =16
18 - 16 =y
y = 2
x =6 and y =2
substitute x=6 in equation (ii) , we get
3 (6) - 4 z = 2
18 - 2 = 4 z
16 = 4 z
z = 4
<u><em>Final answer:-</em></u>
x = 6 , y = 2 and z =4