-3x + 7y = -16 . . . (1)
-9x + 5y = 16 . . . .(2)
(1) x 3 => -9x + 21y = -48 . . . (3)
(2) - (3) => -16y = 64 . . . (4)
Required equivalent system of equations is
-9x + 5y = 16
-16y = 64
First, find the GCF. For these two numbers, it is 36. (Because 36 times 1 is 36 and 36 times 2 is 72)
Divide both sides by this, which gives you a
2:1 ratio
Answer:
The area of a rectangle with a width of 5 inches, and a height of 2.5 inches, would have an area 12.5 inches!
Step-by-step explanation:
To find the area of a rectangle, simply multiply the width (W) by the length (L) to find the area (A) of the rectangle.
A = W x L
A = 5 inches x 2.5 inches
A = 12.5 inches
Hope this helps! :)
Answer:
a. 0.9049
b. 0.2297
c. 0.8473
Step-by-step explanation:
Given U = 46.7, SD = 1.75
and Z = (U - X)/sd
(a). We want to find P(X<=49)
P(X<=49) = P(Z<= 49-46.7/1.75)
= P(Z<= 1.31)
= 0.90490
~= 0.9049
(b) P(X>=48) = P(Z>=48-46.7/1.75)
=P(Z>=0.7429) = 1 - P(Z<=0.7429)
= 1 - 0.77035
= 0.22965
=0.2297
(c) The required probability is given by P(U±2.5).
P(46.7±2.5) = (44.2<= X <=49.2)
= P( 44.2<= Z <= 49.2)
= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)
= P( - 1.4286 <= Z <= 1.4285)
= P(1.4285) - P(-1.4285)
= P(1.43 ) - P(-1.43)
= 0.92364 - 0.07636
= 0.8473
Answer: 4.40
Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11
so 4.40x2.5=11
