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Schach [20]
3 years ago
6

Is the product of 2 perfect squares always a perfect square?

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
<span> The product of two perfect squares is a perfect square.

Proof of Existence:
Suppose a = 2^2 , b = 3^2 [ We have to show that the product of a and b is a perfect square.] then
c^2 = (a^2) (b^2)
= (2^2) (3^2)
= (4)9
= 36
and 36 is a perfect square of 6. This is to be shown and this completes the proof</span>
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Kelly has some money. She spends $17.50 on clothes,
andrew-mc [135]

Answer:

b

Step-by-step explanation:

because we dont know what she started with.

7 0
1 year ago
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In four rounds of a card game, you get scores of -1,-4,-8, and 10. What is your score ?
Gnom [1K]
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6 0
2 years ago
The circumfrance of the moon is about 6,790 miles, find the diameter of the moon to the nearest mile.
ratelena [41]

Answer

B is the answer to this question

4 0
2 years ago
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A certain brand of flood lamps has a lifetime that is normally distributed with a mean of 3,750 hours and a standard deviation o
vesna_86 [32]
Given that mean=3750 hours and standard deviation is 300:
Then:
<span>a. The probability that a lamp will last for more than 4,000 hours?
P(x>4000)=1-P(x<4000)
but
P(x<4000)=P(z<Z)
where:
z=(x-</span>μ)/σ
z=(4000-3750)/300
z=0.833333
thus
P(x<4000)=P(z<0.8333)=0.7967
thus
P(x>4000)=1-0.7967=0.2033

<span>b.What is the probability that a lamp will last less than 3,000 hours?
P(x<3000)=P(z<Z)
Z=(3000-3750)/300
z=-2.5
thus
P(x<3000)=P(z<-2.5)=0.0062

c. </span><span>.What lifetime should the manufacturer advertise for these lamps in order that only 4% of the lamps will burn out before the advertised lifetime?
the life time will be found as follows:
let the value be x
the value of z corresponding to 0.04 is z=-2.65
thus
using the formula for z-score:
-2.65=(x-3750)/300
solving for x we get:
-750=x-3750
x=-750+3750
x=3000</span>
7 0
3 years ago
In the number at the right circle the 4 that has 10 times the value of the underlined 4
Aleksandr [31]
I think you would multiply 4 and 10  and that equals 40.
7 0
3 years ago
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