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inna [77]
3 years ago
14

Solve for x, show your work: 18/x^2 - 9/x = -1

Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Answer:

x = 6 , 3

Step-by-step explanation:

The equation can have 2 solutions.

HOPE THIS HELPS

<h2><em>:)</em></h2>
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A scientist claims that 6% of viruses are airborne. (a) If the scientist is accurate, what is the probability that the proportio
soldi70 [24.7K]

Answer:

Probability that the proportion of airborne viruses in a sample of 529 viruses would be greater than 8% is 0.9545.

Step-by-step explanation:

For the given population the distribution of air-borne viruses is given as 6%. Now for this the value of Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}

Here

  • \hat{p} is the sample measure which is 8% or 0.08
  • p is the population measure which is 6% or 0.06
  • n is the number of samples which is 529

So the Z score is given as

Z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}}\\Z=\dfrac{0.08-0.06}{\sqrt{\dfrac{0.08(1-0.08)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.08(0.92)}{529}}}\\Z=\dfrac{0.02}{\sqrt{\dfrac{0.0736}{529}}}\\Z=\dfrac{0.02}{0.01179}\\Z=1.6955

For this the score, the value of probability is calculated from the table as below:

P(\hat{p}>0.08)=p(Z>1.6955)\\=1-p(Z

Here value of p(Z<-1.6955) is given as 0.0455

P(\hat{p}>0.08)=p(Z>1.6955)\\P(\hat{p}>0.08)=1-p(Z0.08)=1-0.0455\\P(\hat{p}>0.08)=0.9545

 

7 0
3 years ago
If you know the ratio of inches to centimeters is 1 to 2.54, how can you find the number of centimeters equivalent to 9 inches?
Evgen [1.6K]
Centimeters  = inches * 2.54

9 inches is equivalent to 9*2.54 = 22.86 centimeters
7 0
3 years ago
Read 2 more answers
There are 40 students in a class.
Anvisha [2.4K]

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

5 0
3 years ago
A + 3 + 2a = -1 + 3a + 4
Verdich [7]

Answer:The answer is Equal.

Step-by-step explanation:First you need to add A and 2A together. that equals 3a. Since 3 is left , it could be -1 and 4 because it would equal the same thing hope this helped :)

8 0
3 years ago
H(x)=1/8x^3-x^2<br><br> Over which interval does h have a positive average rate of change?
lara31 [8.8K]

Answer:

(-\infty,0)\cup(\frac{16}{3},\infty)\\That \ is x\frac{16}{3}

Step-by-step explanation:

h(x)=\frac{1}{8}x^{3} -x^{2} \\\\Differentiate \ h(x) \ with \  respect \ to \ x\\h'(x)=\frac{3}{8}x^{2} -2x

For positive rate of change h'(x)>0

\frac{3}{8} x^{2} -2x>0\\x(\frac{3}{8}x-2)>0\\\\ When \ x0 \ (multiplication \ of \ two \ positives \ is \ positive)\\\\h'(x)>0 \ when \ x\frac{16}{3} \\\\

6 0
3 years ago
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