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Mars2501 [29]
2 years ago
13

150 is 100% of what number?

Mathematics
1 answer:
andriy [413]2 years ago
3 0

Answer:

150 is 100% of 150

Steps to solve "150 is 100 percent of what number?"

We have, 100% × x = 150

or,

100

100

× x = 150

Multiplying both sides by 100 and dividing both sides by 100,

we have x = 150 ×

100

100

x = 150

If you are using a calculator, simply enter 150×100÷100, which will give you the answer.

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According to an​ airline, flights on a certain route are on time 80 ​% of the time. suppose 10 flights are randomly selected and
natulia [17]
<span>(a) This is a binomial experiment since there are only two possible results for each data point: a flight is either on time (p = 80% = 0.8) or late (q = 1 - p = 1 - 0.8 = 0.2).
​(b) Using the formula:</span><span>
P(r out of n) = (nCr)(p^r)(q^(n-r)), where n = 10 flights, r = the number of flights that arrive on time:
P(7/10) = (10C7)(0.8)^7 (0.2)^(10 - 7) = 0.2013
Therefore, there is a 0.2013 chance that exactly 7 of 10 flights will arrive on time.
​(c) Fewer than 7 flights are on time means that we must add up the probabilities for P(0/10) up to P(6/10).
Following the same formula (this can be done using a summation on a calculator, or using Excel, to make things faster):
P(0/10) + P(1/10) + ... + P(6/10) = 0.1209
This means that there is a 0.1209 chance that less than 7 flights will be on time.
​(d) The probability that at least 7 flights are on time is the exact opposite of part (c), where less than 7 flights are on time. So instead of calculating each formula from scratch, we can simply subtract the answer in part (c) from 1.
1 - 0.1209 = 0.8791.
So there is a 0.8791 chance that at least 7 flights arrive on time.
(e) For this, we must add up P(5/10) + P(6/10) + P(7/10), which gives us
0.0264 + 0.0881 + 0.2013 = 0.3158, so the probability that between 5 to 7 flights arrive on time is 0.3158.
</span>
6 0
3 years ago
Convert 17.42 m to customary units. A.57'-17/8" B. 36-10 1/2" C. 442 1/2" D. 367/8" E. None of these answers is reasonable.
mars1129 [50]

Answer:

Option E - None of these answers is reasonable.

Step-by-step explanation:

To find : Convert 17.42 m to customary units ?

Solution :

The customary units is defined as the measure length and distances in the customary system are inches, feet, yards, and miles.

The options belong to feet and inches.

We have to convert meter into inches, feet.

Meter into feet,

1 \text{ feet} = 0.3048 \text{ meter}

1 \text{ meter} = \frac{1}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{17.42}{0.3048}\text{ feet}

17.42 \text{ meter} = \frac{174200}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{464}{3048}\text{ feet}

17.42 \text{ meter} =57 \frac{58}{381}\text{ feet}

Now, Feet into inches

1 \text{ feet} = 12\text{ inches}

\frac{58}{381} \text{ feet} = 12\times \frac{58}{381}\text{ inches}

\frac{58}{381} \text{ feet} =\frac{232}{381}\text{ inches}

i.e.  17.42 \text{ meter} =57\text{ feet }\frac{232}{381}\text{ inches}

or 17.42 \text{ meter} =57'\frac{232}{381}''

None of these answers is reasonable.

Therefore, Option E is correct.

5 0
3 years ago
-(5a+6)=2(3a+8) what is the answer
ValentinkaMS [17]

Answer:

a = -2

Step-by-step explanation:

-(5a+6)=2(3a+8)

-5a -6 = 2*3a +2*8

-5a -6 = 6a +16

-5a -6a = 16+6

-11a = 22

a= -22/11

a = -2

4 0
3 years ago
_______ samples are used to ensure representation from different types of subgroups in a population.
atroni [7]

Answer:

d

Step-by-step explanation:

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5 0
2 years ago
What is used to locate a point on the coordinate plane?
DiKsa [7]
You can locate<span> any </span>point on the coordinate plane<span> using an ordered pair of numbers. 

e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.</span>
5 0
3 years ago
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