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dalvyx [7]
2 years ago
12

A medium bottle of water contains 16 fluid ounces of water. A large bottle contains 1.25 as much water as the medium bottle. How

many fluid ounces does a large bottle contain?
Mathematics
2 answers:
Mrac [35]2 years ago
6 0
20 oz. Multiplying 16 by 1.25 will give you 20.
mariarad [96]2 years ago
5 0
The large bottle would have 20 fluid ounces.
You would multiply the medium bottle(16 ounces) by the 1.25 and it comes out to be 20
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A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are
In-s [12.5K]
Candidate X won 63 out of the 100 "votes" of the poll participants.

So candidate X won 63% of the votes in the poll. 


This means that candidate X is expected to win the elections by a percentage close to 63%.

63% of the voters is (63/100)*5000=63*50=3150 voters


Answer: 3150


7 0
3 years ago
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has four identi
Tcecarenko [31]

Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
9. Determine whether or not the number 257 is prime.
Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

  • 257 is odd, so it is not divisible by 2.
  • The sum of its digits is 14, therefore, it is not divisible by 3.
  • 257 ends in 7, therefore it's not divisible by 5.
  • 257/ 7 = 36.71 so it's not divisible by 7.
  • 257/ 11 = 23.36 so it's not divisible by 11
  • Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

7 0
3 years ago
If two quadrilateral are congruent, which congruence statement is correct?
postnew [5]
If the two quadrilateral are congruent, then ABCD = PQRS is the correct congruence statement.
4 0
3 years ago
The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping
astra-53 [7]

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

5 0
2 years ago
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