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3 years ago

What is a base-ten number?

Mathematics

2 answers:

dangina [55]3 years ago

8 0

1 2 3 4 5 6 7 8 9

are base-ten numbers,

Hope this helps! :D

AURORKA [14]3 years ago

3 0

Answer:

All the numbers we use are in base 10 already.

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Solve the system of equations below by elimination. -2x-4y=-4 -x+7y=-20

Alik [6]

Answer:

Step-by-step explanation:

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3 years ago

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 4004

nydimaria [60]

Answer:

0.8151 is the probability that the weight will be less than 4293 grams.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4004 grams

Variance = 103,684

$\sigma = \sqrt{103684} = 322$

We are given that the distribution of weight of newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(weight will be less than 4293 grams)

P(x < 4293)

$P( x < 4293) \\\\= P( z < \displaystyle\frac{4293 - 4004}{322}) \\\\= P(z < 0.8975)$

Calculation the value from standard normal z table, we have,

$P(x < 4293) =0.8151 = 81.51\%$

0.8151 is the probability that the weight will be less than 4293 grams.

8 0

4 years ago

Read 2 more answers

Will demand curves have the same exact shape in all markets? If not, how will they differ? What does an upward-sloping supply cu

gregori [183]

Answer:

Step-by-step explanation:

Demand curves will differ as some markets will have a flat demand curve where there is perfect competition. This is when there are too many competitors selling homogenous goods. Generally the demand curve slopes downwards as price increases of a product but it all depends on the type of goods also being sold so this is what causes the differences.

An upward-sloping supply curve means that there is a relationship between the price at which a product is given and the quantity demanded by customers. Sellers in that market will likely react by also pricing their goods around same price as the market or slightly lower to gain a few customers who would be interested in lower prices, but they also would not want to do this too much as they can lose out on profits that the market is making.

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3 years ago

A cubical die is 6 cm long. find its volume

fgiga [73]

Answer:

Volume 6*6*6=216 cu

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3 years ago

Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by

Whitepunk [10]

$\displaystyle\iint_R\sin(384x^2+486y^2)\,\mathrm dA$

Notice that Given that $R$ is an ellipse, consider a conversion to polar coordinates:

$\begin{cases}x(r,\theta)=\frac r8\cos\theta\\y(r,\theta)=\frac r9\sin\theta\end{cases}$

The Jacobian for this transformation is

$J=\begin{bmatrix}\frac18\cos\theta&-\frac r8\sin\theta\\\frac19\sin\theta&\frac r9\cos t\end{bmatrix}$

with determinant $\det J=\frac r{72}$

Then the integral in polar coordinates is

$\displaystyle\frac1{72}\int_0^{\pi/2}\int_0^1\sin(6r^2\cos^2t+6r^2\sin^2t)r\,\mathrm dr\,\mathrm d\theta=\int_0^{\pi/2}\int_0^1r\sin(6r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{\pi\sin^23}{864}}$

where you can evaluate the remaining integral by substituting $s=6r^2$ and $\mathrm ds=12r\,\mathrm dr$ .

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3 years ago