1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kobusy [5.1K]
3 years ago
9

What is -a^-2 if a=-5

Mathematics
1 answer:
Leviafan [203]3 years ago
3 0
-a^{-2}=-(-5)^{-2}=-\left(\dfrac{1}{-5}\right)^2=-\dfrac{1}{25}
You might be interested in
in one baseball season, peter hit twice the difference of the number of home runs alice hit and 6. altogether, they hit 18 home
Vedmedyk [2.9K]
I think it would be 3 because if you divide 18/6=3
6 0
3 years ago
The quality-control department of Starr Communications, the manufacturer of video-game cartridges, has determined from records t
notsponge [240]

Answer: (A) The probability that a cartridge purchased will have a video or audio defect is 1.9%

(B) The probability that a cartridge purchased will not have a video or audio defect is zero.

Step-by-step explanation: The data given shows that 1.2% (or 120) cartridges have video defects, 0.9% have audio defects (or 90) and 0.2% (or 20) have both audio and video defects.

The possible outcomes for all events (audio defects and video defects) is derived as 120 plus 90 which is equals 210 possibilities (or possible outcomes).

Therefore the probability of having an audio defect is calculated as follows;

P(Audio) = Number of required outcomes/Number of all possible outcomes

P(Audio) = 90/210

P(Audio) = 3/7

Also the probability of having a video defect is derived as follows;

P(Video) = Number of required outcomes/Number of all possible outcomes

P(Video) = 120/210

P(Video) = 4/7

However we should take note of the fact that 0.2% or 20 of the cartridges in the sample size has both audio and video defects. Hence the probability that a cartridge has both audio and video defects is calculated as;

P(Audio and Video) = Number of required outcomes/Number of all possible outcomes

P(Audio and Video) = 20/210

P(Audio and Video) = 2/21

To calculate the probability that a cartridge bought would have either an audio or a video defect would mean to add both probabilities together, but we MUST SUBTRACT the probability of having both an audio defect and video defect (that is P{Audio and Video}). The reason is that this is already included in both probabilities and we need to avoid double counting. Hence we have;

(A); P(Video OR Audio defect) = P(Audio) + P(Video) - P(Audio and Video)

P(Video OR Audio defect) = (3/7 + 4/7) - 2/21

P(Video OR Audio defect) = 1 - 2/21

P((Video OR Audio defect) = 19/21

Therefore the probability that a cartridge purchased will have a video or audio defect is 190, or better still 1.9%.

(B): From all possibilities shown, which is 210 possibilities of either events, we have determined that 120 will be the probability of having an audio defect and 90 will be the probability of having a video defect. Therefore the probability that a cartridge purchased will not fall into any of either possibilities is zero.

6 0
3 years ago
Tony bought 20 raffle tickets at a fire station. The fire station sold a total of 80 raffle tickets. What is the probability tha
Citrus2011 [14]
If Tony bought 20 out of 80 tickets, then it would be 25% because 20 is 1/4 of 80.
Hope I helped!
8 0
3 years ago
Ten years ago in Louisiana, schools averaged 182 pupils for every 10 teachers. Write a ratio for this problem in 3 different way
Anettt [7]
182:10

182/10


182 to 10
6 0
2 years ago
What is true of the data in the dot plot? Check all that apply.
Archy [21]

Answer:

B, D,

Step-by-step explanation:

  • 0 has 3 dots
  • 1 has 8 dots
  • 2 has 7 dots
  • 3 has 0 dots
  • 4 has 4 dots
  • 5 has 1 dot

Total number of dots: 23 =>

The center is 2 Wrong

The center is 1.5. True

There are no gaps. Wrong

It has a cluster at 0, 1, and 2. True

Hope it will find you well.

4 0
3 years ago
Read 2 more answers
Other questions:
  • A car with a 20 gallon gas tank can go 25 miles on 1gallon of gas. If the tank is full at the begining of the trip, how many tim
    11·2 answers
  • What is the factored form x^3 - 1 ?
    9·1 answer
  • Which is a perfect square?<br> A-20<br> B-21<br> C-24<br> D-25
    15·2 answers
  • Bring the fraction a/a−4 to a denominator of 16−a^2<br><br> really do appreciate this thx
    10·1 answer
  • Determine if the sequence is arithmetic. If it is, find the common difference. 1) 35, 32, 29, 26, ... 2) −3, −23, −43, −63, ...
    12·1 answer
  • PLEASE HELP ME THIS IS DUE ASAP!!! I will mark brainliest if right!!! Explain!
    10·1 answer
  • Problem 3: The equation e=-615m+32,000 describes the elevation (e) of a plane in feet, m minutes after it began to descend towar
    13·2 answers
  • Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and fin
    6·1 answer
  • At a football stadium, 25% of the fans in attendance were teenagers. If there were 190 teenagers at the football stadium, what w
    8·2 answers
  • Evaluate the following<br> a) 4!=<br> b) 0!=<br> c) 2! + 3!=<br> d) 3! x 4!<br> e) 10! / 7!
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!