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DerKrebs [107]
3 years ago
15

Three energy saving improvements are advertised to save 25%, 55% and 20% of the energy used. A homeowner makes these three impro

vements in succession. What overall percentage saving can be expected?
Mathematics
1 answer:
GrogVix [38]3 years ago
8 0
Let the original electricity units used without energy savings be 100 units. 
After the first energy saving improvement, the energy used 
is 100 U - 25% of 100 U = 75U

After the second energy saving improvement, the energy used is
75U - 55% of 75 U = 33.75 U

After the third energy saving improvement, the energy used is
33.75 U - 20% of 33.75 U = 27U

Therefore, the overall percentage saving is 100U - 27U = 73U or 73%


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B. Solve for the product of the following fractions. Express your answer in simples form.
sladkih [1.3K]

Answer:

  1. 5/9
  2. 1/5
  3. 1/7
  4. 5/54
  5. 1/4
  6. Hope it helps you
5 0
3 years ago
Need help with this answer plz help
jeyben [28]
It would be H because 13 has no factors other than 1, and 13.

Hope this helps!
6 0
3 years ago
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From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ
bulgar [2K]
Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given byP(x)=C(n,x)p^x(1-p)^{n-x}whereC(n,x)=\frac{n!}{x!(n-x)!}
Here we're given
p=0.10  [ success = defective ]
n=3

(a) x=0
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,0)0.1^0(1-0.1)^{3-0}
=1(1)(0.729)
=0.729

(b) x=2
P(x)=C(n,x)p^x(1-p)^{n-x}
=C(3,2)0.1^2(1-0.1)^{3-2}
=3(0.01)(0.9)
=0.027

(c) x ≥ 2
P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}
=P(2)+P(3)
=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}
=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}
=3(0.01)(0.9)+1(0.001)1
=0.027+0.001
=0.028


8 0
3 years ago
This month carla caught the following fish in lake george<br><br><br> will mark brainliest
Ira Lisetskai [31]

Answer:

The fish could be a seafish.

Step-by-step explanation:

Seafishes are fishes that live in the sea most of the time.

5 0
3 years ago
16/21 divided by 4/9
leonid [27]
16/21 divided by 4/9 is equivalent to 16/21 x 9/4 = 144/84 which reduces to 12/7. So 12/7 is your answer.
7 0
3 years ago
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