WHICH OF FOLLOWING IS NOT POSSIBLE?

Davis electronics manufactures a certain type of radio that requires 15 working resistors per radio. If one out of 25 resistors

Nata [24]

To determine if 30,150 resistors is enough to make 1,922 radios, we do ratio and proportion. In this kind of solution, we base it on a fixed ratio as given by 15 working resistors is to 1 radio. Moreover, you are given an additional detail of probability. All you have to do is multiply the probability to the total resistors to determine the exact amount of working resistors. Since the probability of defect is 1/25, by difference, the probability of a working resistor is 1-1/25 = 24/25.

Therefore,

15/1 ≤ 30150(24/25)/1922
15 ≤ 15.06

The symbol '≤' means less than or equal to. It is the inequality to be used because 15/1 is the minimum limit. As long as the ratio is equal to 15 or more than 15, then 30,150 is enough to make 1,922 radio. Since it is true that 15.06 is greater than 15, then the amount of resistors would be enough.

5 0

3 years ago

Whats the sum of the exterior angles of a 35-gon

MariettaO [177]

The sum of all exterior angles will always add up to 360

3 0

3 years ago

If the roots of x²-7x+k=0 are m and m-1, find the value of the constant k

creativ13 [48]

Answer: k=12

Step-by-step explanation:

x2 - 7x + k = 0

using quadratic formula method,

x = [-b ± √(b2 - 4ac)]/2a

a = 1

b = -7

c = k

x = [-(-7) ± √((-7)2 - 4(1)(k))]/2(1)

x = [7 ± √(49 - 4k)]/2

x = [7 + √(49 - 4k)] / 2 and [7 - √(49 - 4k)] / 2

since the roots are m and m-1,

m = [7 + √(49 - 4k)] / 2 ------------ eqn(1), and

m - 1 = [7 - √(49 - 4k)] / 2 ----------- eqn(2)

add 1 to both sides of eqn(2)

m = [7 - √(49 - 4k)]/2 + 1 --------------- eqn(3)

eqn(1) = eqn(3)

[7 + √(49 - 4k)]/2 = [7 - √(49 - 4k)]/2 + 1

7/2 + (√(49 - 4k))/2 = 7/2 - (√(49 - 4k))/2 + 1

collect like terms,

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 7/2 - 7/2 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 0 + 1

(√(49 - 4k))/2 + (√(49 - 4k))/2 = 1

multiply through by 2

√(49 - 4k) + √(49 - 4k) = 2

2√(49 - 4k) = 2

divide both side by 2

√(49 - 4k) = 1

square both sides

49 - 4k = 1

collect like terms,

4k = 49 - 1

4k = 48

divide both sides by 4

k = 48/4

k = 12

6 0

3 years ago

The test scores of 1,200 students are normally distributed with a mean of 83 and a standard deviation of 5.5. Under which interv

KATRIN_1 [288]

Using the Empirical Rule, it is found that the interval in which approximately 978 students scored was:

A. 72 < x < 88.5.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The percentage that 978 is of 1200 is:

978/1200 x 100% = 81.5%.

Considering the symmetry of the normal distribution, two outcomes are possible involving 81.5% of the measures:

Between one standard deviation below the mean and two above, which in the context of this problem is between 77.5 and 94.

Between two standard deviations below the mean and one above, which in the context of this problem is between 72 and 88.5, which is option A in this problem.

More can be learned about the Empirical Rule at brainly.com/question/24537145

#SPJ1

4 0

2 years ago

Debbie owns a clothing store that designs T-shirts and shorts. She sells the T-

balandron [24]

Answer:

$ 208

Step-by-step explanation:

This problem can be solved in a very simple way and the hourly earnings of each product are calculated.

That is, its sale value for the time it costs to create it:

For T-shirts: Each one is worth $ 6 but in one you can make two, therefore

$ 12 per hour.

For shorts: Each one is worth 13 and one is made per hour, therefore

$ 13 per hour

Which means that the most productive thing is to sell all shorts.

It can work 16 hours maximum, therefore it can make 16 shorts.

So:

13 * 16 = $ 208

And this would be the maximum value that can be obtained and complies with the restriction of at least 12 products but less than 24 products.

4 0

3 years ago