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Elena L [17]
3 years ago
6

A hair dryer wastes 376J for every 1500J of electrical energy it uses. How efficient is the hairdryer?

Mathematics
1 answer:
Leni [432]3 years ago
8 0

Answer:

\boxed{efficiency, \gamma  = 74.93 \%}

Step-by-step explanation:

efficiency, \: \gamma  =  \frac{1500 - 376}{1500}  \times 100 \\ \gamma  =  \frac{1124}{1500}  \times 100 = 74.93 \\ efficiency, \gamma  = 74.93 \%

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storchak [24]
ONO THAT NOT THE ANSWER THIS IS [3,628,800] 10P10=10, AND 0!= 10 TIMES 9 TIMES 8 TIMES 7 TIMES 6 TIMES 5 TIMES 4 TIMES 3 TIMES 2 TIMES 1= 3,628,800.
7 0
3 years ago
If f = 350i - 250j - 450k6 n and cable ab is 9 m long, determine the x, y, z coordinates of point a
ycow [4]
<span> we know the length of the cable is 9m.
That means the magnitude of  </span><span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span>​<span>AB</span></span><span>​​</span></span></span><span> divided by the magnitude.

</span>u=<span>(<span>​​<span>​x/9</span><span>​​</span></span>i−<span>​y/9<span>​​</span></span>j−<span>​z/9<span>​​</span></span>k<span>)

</span></span><span>We can also figure out the unit vector of F. 
</span>u=​(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.

Therefore
</span>(​​​x/9​​i−​y/9​​j−​z/9​​k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m

The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
6 0
3 years ago
Robin donated bags of grain that each weighed 40/3 pounds to the local food shelf. If the total weight of the grain was 160 poun
Novay_Z [31]

Answer:

d 12

Step-by-step explanation:

7 0
2 years ago
The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of
SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{21 - 20.8}{4.5}

Z = 0.04

Z = 0.04 has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

Z = \frac{X - \mu}{\sigma}

Z = \frac{23 - 20.8}{4.5}

Z = 0.71

Z = 0.71 has a pvalue of 0.7611

X = 18

Z = \frac{X - \mu}{\sigma}

Z = \frac{18 - 20.8}{4.5}

Z = -0.62

Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0
3 years ago
What is the unit rate of 4 to 4.60
lapo4ka [179]

Answer:

15

Step-by-step explanation:

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