Answer:
40.5 square inches
Step-by-step explanation:
Rectangle consists of two identical squares.
So, if the sides of square = x,
Then, Width of rectangle = x &
Length of rectangle = x +x = 2x
Perimeter of rectangle = 27 inches
2*(length + width) = 27
2*( 2x + x) = 27 {Combine like terms]
2* 3x = 27
6x= 27 {Divide both sides by 6}
x = 27/6
x = 4.5
Width = x = 4.5 inches
Length = 2x = 2*4.5 = 9 inches
Area of rectangle = length *width
= 4.5 *9
= 40.5 square inches
Answer:
yea only ofc
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) so initially there will be a total of 14 marbles in the bag since none have been removed yet. This means the probability of picking one red marble will be 6/14 or simplified, 3/7. However, the next time you pick a marble there will only be 13 marbles in the bag and only 5 red marbles, giving you a probability of 5/13. To get the next red marble, there will only be 12 marbles left in the bag with only 4 red marbles remaining. The probability of this is 4/12 or simplified, 1/3. In order to find the probability of picking 3 total red marbles, you need to multiply those probabilities together, so: (3/7)(5/13)(1/3) for an answer of 5/91 or a 0.0549% chance
b) I am not sure I fully understand how this question is possible if there is only one green marble and the marbles are not being replaced. My best guess would be a 0% chance since you cannot get 2 green marbles without replacement.
c) Again there are 14 marbles in the bag, that means the probability of picking a blue marble is 3/14, then, to find the probability of getting a yellow marble, you get 4/13, remember there is one less marble in the bag because you already took out a blue marble. Then simply multiply those probabilities together: (3/14)(4/13) for 6/91 probability or 0.0659% chance.
d) I am not entirely sure. If you want the probability of the red first then blue it is 9/91, and if it is blue then red, it is also 9/91.
For 7, when GH=HI, that means mG=mI so mI is 55
for 8, mJ would equal 58 since 180-122 is 58. 58+67 is 125 and 180 - 125 is 55, so mk is 55
Answer:
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247
Step-by-step explanation:
We know mean u = 38 standard dev. s = 2
We want P ( 37 < x < 41)
so
P( (37 - 38) / 2 < Z) = P(-0.5 < Z)
P( Z < (41 - 38)/2 ) = P( Z < 1.5)
Find P(Z < -0.5) = 0.3085
Find P(Z > 1.5) = 0.0668
so P(-0.5 < Z < 1.5) = 1 - P(Z < -0.5) - P(Z > 1.5)
P(-0.5 < Z < 1.5) = 1 - 0.3085 - 0.0668
P(-0.5 < Z < 1.5) = 0.6247
P ( 37 < x < 41) = P(-0.5 < Z < 1.5) = 0.6247