Answer:
g(5)=-19
Step-by-step explanation:
Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19
Answer:
P(A or B) = P(A) + P(B) - P(A and B) = 0.5 + 0.7 - 0.3 = 0.9
Step-by-step explanation:
The equation we should use to calculate the addition of probabilities is:
P(A or B) = P(A) + P(B) - P(A and B)
Notice that if we just sum P(A) + P(B), our result would be wrong, because we would sum the intersection of those events two times.
So, in this case, if we call 'A' the pillow being encased in microfiber and 'B' the pillow being filled with memory foam, we have that:
P(A) = 0.5
P(B) = 0.7
P(A and B) = 0.3
So the addition of both probabilities is:
P(A or B) = 0.5 + 0.7 - 0.3 = 0.9
SOLUTION:
PQR is a right-angle triangle.
Therefore, to solve this problem, we will use Pythagoras theorem which is only applicable to right-angle triangles.
Pythagoras theorem is as displayed below:
a^2 + b^2 = c^2
Where c = hypotenuse of right-angle triangle
Where a and b = other two sides of right-angle triangle
Now we will simply substitute the values from the problem into Pythagoras theorem in order to obtain the length of QR.
c = PQ = 16cm
a = PR = 8cm
b = QR = ?
a^2 + b^2 = c^2
( 8 )^2 + b^2 = ( 16 )^2
64 + b^2 = 256
b^2 = 256 - 64
b^2 = 192
b = square root of ( 192 )
b = 13.8564...
b = 13.86 ( to 2 decimal places )
FINAL ANSWER:
Therefore, the length of QR is 13.86 centimetres to 2 decimal places.
Hope this helps! :)
Have a lovely day! <3
Answer:
Percent error = 4.29%
Step-by-step explanation:
Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.
Mathematically, it is given by this expression;
Given the following data;
Experimental value = 67
Theoretical value = 70
Substituting into the equation, we have;
Percent error = 4.29%
No, this is because right angles can also be formed
