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Brrunno [24]
3 years ago
10

Prove that the value of the expression: (125^2+25^2)(5^2-1) is divisible by 39

Mathematics
2 answers:
slavikrds [6]3 years ago
7 0

Answer:

10000*39

Step-by-step explanation:

Simplify the equation fully.

(125 + 25)(5 - 1)

(15625 + 625)(25 - 1)

(16250)(24)

390000

Divide the answer by 39

390000/39 = 10000

babymother [125]3 years ago
3 0

Answer:

10000 * 39

Step-by-step explanation:

(125^2+25^2)(5^2-1)

Rewriting

(5^3^2+5^2^2)(5^2-1)

We know that a^b^c = a^ ( b*c)

(5^(3*2)+5^(2*2))(5^2-1)

(5^6+5^4)(5^2-1)

Factor out 5^4

5^4( 5^2 +1)(5^2-1)

5^4 ( 26) (24)

Factor

5^4 ( 13*2) (3*8)

Rearrange the order

5^4 ( 13*3) (2*8)

5^4 *39 *16

625 * 16 * 39

10000 * 39

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Height: width
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The frame will be 18 inches wide.
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3 years ago
A one-tailed test is a a. hypothesis test in which rejection region is in one tail of the sampling distribution b. hypothesis te
garri49 [273]

Answer:

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

Step-by-step explanation:

One Tailed Test:

  • A one tailed test is a test that have hypothesis of the form

H_0: \bar{x} = \mu\\H_A: \bar{x} < \mu\text{ or } \bar{x} > \mu

  • A one-tailed test is a hypothesis test that help us to test whether the sample mean would be higher or lower than the population mean.
  • Rejection region is the area for which the null hypothesis is rejected.
  • If we perform right tailed hypothesis that is the upper tail hypothesis then the rejection region lies in the right tail after the critical value.
  • If we perform left tailed hypothesis that is the lower tail hypothesis then the rejection region lies in the left tail after the critical value.

Thus, for one tailed test,

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

6 0
3 years ago
jack wants to paint his walls. two walls are 12 ft by 8 ft and two walls are 10 ft by 8 ft. what is the area to be painted? if o
Ksivusya [100]

Answer:

352 ft (squared)  , he will need 12 paint cans

Step-by-step explanation:

Two 12 by 8ft walls = 192 ft in area, Two 10 by 8ft walls = 160 ft in Area, that equals 352 ft total, 352/30=11.73 repeated, round up to 12

4 0
3 years ago
Do not round intermediate calculations. round your answers to two decimal places. a. define a random variable number of times th
navik [9.2K]

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

Total no. of times owner-occupied units had a water supply stoppage lasting 6 or more hours

547000 + 5012000 + 6110000 + 2544000 + 557000 = 14770000

x = no. of times owner-occupied units had a water supply stoppage.

<h3>What is the probability at x =0?</h3>

P(x=0) = 547000/14770000

P(x=0) = 0.0370

Similarly, we have at x=1

P(x=1) = 5012000/14770000

P(x=1) = 0.3393

P(x=2) = 6110000/14770000

P(x=2) = 0.4137

P(x=3) = 2544000/14770000

P(x=3) = 0.1722

P(x=4) = 557000/14770000

P(x=4) = 0.0378

x           f(x)

0             0.0370

1              0.3393

2         0.4137

3              0.1722

4         0.0378

Total     1

Observations can you make from a comparison of the number of water supply stoppages reported by owner-occupied units versus renter-occupied units 1.

To learn more about the probability distribution visit:

brainly.com/question/24756209

#SPJ1

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2 years ago
John bought 15 cookies and ate 3 of them. He ate % of the cookies. (Make sure to enter the answer using numbers only. Do not ent
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He ate 20% of the cookies
6 0
3 years ago
Read 2 more answers
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