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yulyashka [42]
3 years ago
12

A triangle has side lengths of ( 5.9 k + 9.3 m ) (5.9k+9.3m) centimeters, ( 3.6 k − 3.9 n ) (3.6k−3.9n) centimeters, and ( 3.5 n

+ 3.4 m ) (3.5n+3.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Mathematics
1 answer:
Lilit [14]3 years ago
8 0

Answer:

(9.5k + 12.7m -0.4n) cm

Step-by-step explanation:

(5.9k+9.3m) + (3.6k−3.9n) + (3.5n+3.4m) = 9.5k + 12.7m -0.4n

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Public opinion in the large city of Bedrock is that 60 percent of the residents are in favor of increasing taxes to fund alterna
uysha [10]

Answer: 0.8461

Step-by-step explanation:

Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.

As per given , we have p=0.40

A random sample is taken with size : n= 400

Expecting sample proportion : \hat{p}=\dfrac{150}{400}=0.375

Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

P(p>0.375)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})

=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]

=P(z>-1.02)=P(z-z)=P(Z

\approx0.8461  [By z-table]

Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .

4 0
4 years ago
A company charges $211.25 for 5 trees and 15 shrubs. The company charges 15.25 more for a tree than a shrub. How much does each
postnew [5]
The answer is $1.96 I hope I could help?
6 0
3 years ago
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In the diagram of isosceles trapezoid ABCD, AB= 18, CD= 10, and AD= BC=5.
adelina 88 [10]
The height is 3. I have a pic to show the work

5 0
3 years ago
The minimum level of inventory needed to meet customer demand is called the
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minimum level of stock

4 0
3 years ago
What is the largest digit N for which 2345N is divisible by 6?
kotegsom [21]
Consider this option (this is not the only way):
1. according to the condition 2345N is divisible by <em>6</em>, it means, that N is even number (0;2;4;6 or 8).
2. <em>6</em>=3*2, then the number 2345N is divisible by 3 also. It means, that the number (2+3+4+5+N)=(14+N) is divisible by 3, where N={0|2|4|6|8}.
3. using items 1 and 2:
(14+4)=18; only 18 is divided by 3, it means that N=4.

answer: 4.

Note also, that only 23451; 23454 and 23457 are divided by 3. Only 2345<u>4</u> is divided by 6 (2345<u>4</u>/6=3909).
3 0
3 years ago
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