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Dmitry [639]
3 years ago
13

The ratio of square H’s length to square I’s length is 3 : 5. If the length of square H is 18 meters, what is the perimeter of s

quare I?
a.
60 meters
c.
90 meters
b.
54 meters
d.
120 meters
Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0
B. 54 meters

first you want to set up your ratios and cross multiply to figure out the number to square l's ratio. which would be 10.8.

then use formula for perimeter 
2(l)+2(w)=9
2(10.8)+2(18)=53.6-rounded =54<span />
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A machine is used to fill plastic bottles with bleach. A sample of 18 bottles had a mean fill volume of 2.007 L and a standard d
abruzzese [7]

Answer:

The 99% confidence interval for the difference between the mean fill volumes at the two locations is;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

Step-by-step explanation:

The number of bottles in the sample at the first location, n₁ = 18 bottles

The mean fill volume, \bar{x}_{1} = 2.007 L

The standard deviation, σ₁ = 0.010 L

The number of bottles in the sample at the second location, n₂ = 10 bottles

The mean fill volume, \bar{x}_{2} = 2.001 L

The standard deviation, σ₂ = 0.012 L

The nature of the variance of the two samples = Equal variance

The confidence interval of the statistics, C = 99%

The difference between the mean

\mu_1 - \mu_2 = \left (\bar{x}_{1}- \bar{x}_{2}  \right )\pm t_{\alpha /2} \times \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}

(1 - C)/2 = (1 - 0.99)/2 = 0.005, the degrees of freedom, f = n₁ - 1 = 10 - 1 = 9

∴ t_{\alpha /2} = 3.25

Therefore, we have;

\mu_1 - \mu_2 = \left (2.007- 2.001  \right )\pm 3.25 \times \sqrt{\dfrac{0.01^{2}}{18}+\dfrac{0.12^{2}}{10}}

Therefore, we have the difference of the two means given as follows;

-0.1175665 L < μ₁ - μ₂ < 0.1295665 L

8 0
3 years ago
A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets
Fynjy0 [20]
Let x be the number of new laptops and y be the number of tablets that the company should buy. The equations that best show the given conditions are as follows,
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Solving simultaneously for the values of x and y gives an answer of x = 11 and y = 19.

Thus, the business should buy 11 laptops and 19 tablets.
8 0
3 years ago
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The answer is A. m + 38 less-than 50

hope this helps !
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3 years ago
5 - 2(x+6) = 14 <br> Solve for x please help
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3 years ago
Question is below....
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Answer:

Step-by-step explanation:

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