Answer:
Length = 2w
Width= w
2w times w= 241
2W^2=241
Divide by 2
W-^2=121
Sq rt each side
W-= 11 cuz 11 times 11=121
hope this helped
If it did, brainliest would be appreciated!
Answer:
11 people will get both the prizes.
Step-by-step explanation:
In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).
Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.
To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.
Therefore 11 persons out of 400 will get both the prizes.
Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.
And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.
In these divisions, consider just the quotient, here remainder is of no use.
Well...
2x-6x>-12+8-6
-4x>-10
Attention! ">" change for "<" because we multiply both members for (-1)
x<10/4
It is the same to say (-infinite ; 10/4) or (-infinite ; 5/2) or (-infinite ; 2.5)
Good luck!
M.
Answer:
7/24 Is The Answer!
Step-by-step explanation:
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
1/4 Divided by 6/7 = 1/4 ₓ 7/6
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
1/4 times 7/6 = 7/24
The result Is
1/4 divided by 6/7 = 7/24
To evaluate the probability that the lifespan will be between 1440 and 1465 hours will be given by:
P(1440<x<1465)
using the z-score formula we obtain:
z=(x-μ)/σ
where:
μ=1450
σ=8.5
hence
when x=1440
z=(1440-1450)/8.5
z=-1.18
P(z<-1.18)=0.1190
when x=1465
z=(1465-1450)/8.5
z=1.77
P(z<1.77)=0.9625
hence:
P(1440<x<1465)
=0.9625-0.1180
=0.8445
