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DerKrebs [107]
3 years ago
10

An architect’s blueprint for a new house shows the kitchen being 7 inches wide. If the scale used to create the blueprint is 0.5

in. = 1 ft, what is the actual width of the kitchen?
Mathematics
2 answers:
harina [27]3 years ago
5 0
7in * 1ft/0.5in = 14ft
Allisa [31]3 years ago
5 0
<span>shrinking ratio is 1/2 thus actual size would be 7*2=14 feet </span>
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Write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .
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Step-by-step explanation:

Add the numbers :

21h-10h + <em>16</em><em>-</em><em>9</em><em> </em><em>+</em><em> </em>14h<em>+</em><em> </em><em>5</em>

21h-10h + <em>12</em><em> </em>+ 14h

Combine like terms:

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Read 2 more answers
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
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