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Lady bird [3.3K]
4 years ago
14

For your parent’s 25th wedding anniversary, you want to restore and enlarge their engagement picture. The photo was originally 3

in long by 5 in high and you want to create an enlargement that is 36 in long. How high is the enlargement?
Mathematics
2 answers:
ziro4ka [17]4 years ago
8 0
I believe the answer would be 60 in high
Sauron [17]4 years ago
7 0

Answer: 60 in.

Step-by-step explanation:

Given: For your parent’s 25th wedding anniversary, you want to restore and enlarge their engagement picture. The photo was originally 3 in long by 5 in high and you want to create an enlargement that is 36 in long.

Since the sides before and after enlargement remains proportional.

Let h be the height is the enlargement.

Therefore , we have

\dfrac{h}{36}=\dfrac{5}{3}\\\\\Rightarrow\ h=\dfrac{5\times36}{3}=60

Hence, this enlargement is 60 in. high.

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Step-by-step explanation:

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An article gave the accompanying data on ultimate load (kN) for two different types of beams. Assuming the underlying distributi
krok68 [10]

Answer:

The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams.

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The sample 2 (Carbon), of size n2=26 has a mean of 42.8 and a standard deviation of 4.3.

The difference between sample means is Md=-9.4.

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The estimated standard error of the difference between means is computed using the formula:

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{2.2^2}{26}+\dfrac{4.3^2}{26}}\\\\\\s_{M_d}=\sqrt{0.186+0.711}=\sqrt{0.897}=0.9473

The critical t-value for a 99% confidence interval is t=2.678.

The margin of error (MOE) can be calculated as:

MOE=t\cdot s_{M_d}=2.678 \cdot 0.9473=2.537

Then, the lower and upper bounds of the confidence interval are:

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The 99% confidence interval for the difference between the true average load for the fiberglass beams and that for the carbon beams is (-11.937, -6.863).

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