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4 years ago

Explain how to write the number that is one million more than 458,610,008

Mathematics

2 answers:

ch4aika [34]4 years ago

8 0

458,610,008+100,000,000

Kay [80]4 years ago

5 0

1,000,000,000+458,610,008= 1,458,610,008

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What is the length of the hypotenuse of the triangle below

Hatshy [7]

One way to solve this is to use Pythagorean theorem: the square of one leg of triangle plus square of other leg of the triangle equals c the hypotenuse (longest side of triangle). You might see this as the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse.
In this case, the legs are 3√2 and the hypotenuse is h.
Using the formula:
(3√2)² + (3√2)² = h²
18 + 18 = h²
h = 6

The other way to do this is with trigonometric angles.
Remember cosine is adjacent over hypotenuse.
cos(45°) = (3√2) / h
h = (3√2) / cos(45°)
h = 6

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4 years ago

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To create the flower gardens, Wendell bought six pieces of wood. Pieces A and B are 6 feet long, pieces C and D are 8 feet long,

Korolek [52]

Answer:

Step-by-step explanation:

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3 years ago

A swimming pool can be filled in 18 hours if water enters through a pipe alone, or in 25 hours if water enters through a hose a

pychu [463]

I am not sure, but this is what I got:
Pipe ALONE = 18 hours

Pipe ALONE in 1 hour = 1/18 of the pool

Hose ALONE in 1 hour = 1/25 of the pool

TOGETHER in 1 HOUR = 1/18 +1/25 = 43/450

TOGETHER they will fill the pool in 450/43 hours

So 5/6 of the pool will take 5/6 X 450/43 = 2250/ 258 = 8.7209302 hours OR

8 hours AND 43.26 minutes ANSWER

Hope this helps!

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3 years ago

Which shape has only one pair of parallel sides? A. rectangle B. triangle C. trapezoid D. rhombus

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I would most likely go with C.

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3 years ago

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Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

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3 years ago