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Annette [7]
2 years ago
12

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?​

Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer:

12 years later.

Step-by-step explanation:

Let assume in X years, the table will be twice as old as the sofa.

36+X=2(12+X), X=12

Or think it the other way. The difference of ages between two things never change. So they must have a difference(of age) of 24 forever. When will this difference(24) be as same as the younger's age so that the older one is exactly twice as old as the younger? 12 years later when the sofa is 24.

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What is the area of the following triangle? <br> A. 300 in<br> B. 60 in<br> C. 150 in<br> D. 72 in
NemiM [27]

Answer:

C, 150 in

Step-by-step explanation:

12 in x 25 = 300

300/2

=150 in

4 0
3 years ago
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8.23 A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators
Kitty [74]

Answer:

The 95% confidence interval estimate for the population mean force is (1691, 1755).

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample mean will be approximately normally.

The sample selected here is <em>n</em> = 30.

Thus, the sampling distribution of the sample mean will be normal.

Compute the sample mean and standard deviation as follows:

\bar x=\frac{1}{n}\sum x=\frac{1}{30}\times 51702=1723.4\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{30-1}\times 232561.2}=89.55

Construct a 95% confidence interval estimate for the population mean force as follows:

CI=\bar x\pm z_{\alpha /2}\times\frac{s}{\sqrt{n}}

    =1723.4\pm 1.96\times\frac{89.55}{\sqrt{30}}\\\\=1723.4\pm 32.045\\\\=(1691.355, 1755.445)\\\\\approx (1691, 1755)

Thus, the 95% confidence interval estimate for the population mean force is (1691, 1755).

3 0
3 years ago
Perform the indicated operation. (4g 2 - 9) ÷ (2g - 3)
Evgen [1.6K]
See picture for steps and answer

6 0
3 years ago
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X^2-9x=x-9 solve by factoring
lbvjy [14]
(x-1)(x-9)
Hope this helps
8 0
2 years ago
Hey there please help me with this question
olga_2 [115]

Answer:

see explanation

Step-by-step explanation:

sum the parts of the ratio, 2 + 1 = 3 parts , thus

81 cm² ÷ 3 = 27 cm² ← value of 1 part of the ratio

2 parts = 2 × 27 = 54 cm²

Area of A = 54 cm² and area of B = 27 cm²

The side of the original square = \sqrt{81} = 9 cm

The width of both rectangles is 9 cm ( width remains unchanged after cut )

Thus

Rectangle A

9 × length = 54 ( divide both sides by 9 )

length = 6 cm

Rectangle B

9 × length = 27 ( divide both sides by 9 )

length = 3 cm

Rectangle A → length = 6 cm, width = 9 cm

Rectangle B → length = 3 cm , width = 9 cm

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3 years ago
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