Which expression is represented by the model below?

Last one, So so sorry!

zvonat [6]

C and D are the same, so its between A and B, which concludes your answer should be B

8 0

3 years ago

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Oscar uses place value to divide 63.81 by 9 his steps are shiwn below what mistake does oscar make

Ksenya-84 [330]

Check the picture below.

6 0

3 years ago

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Only 1 try

vagabundo [1.1K]

Using the shell method, the volume is

$\displaystyle 2\pi \int_0^1 (2-x) \cdot 8x^3 \, dx = 16\pi \int_0^1 (2x^3 - x^4) \, dx$

Each cylindrical shell has radius $2-x$ (the horizontal distance from the axis of revolution to the curve $y=8x^3$ ); has height $8x^3$ (the vertical distance between a point on the $x$ -axis in $0\le x\le1$ and the curve $y=8x^3$ ).

Compute the integral.

$\displaystyle 16 \pi \int_0^1 (2x^3 - x^4) \, dx = 16\pi \left(\frac{x^4}2 - \frac{x^5}5\right) \bigg|_{x=0}^{x=1} \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = 16\pi \left(\frac12 - \frac15\right) \\\\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~ = \frac{24}5\pi = \boxed{4.8\pi}$

6 0

1 year ago

A. Find the measure of m<1<br> B. Find the measure of m<1 ;m<2; m<3

natita [175]

Answer:

A: m<1 = 79 degrees

B: m<1 = 61 degrees, m<2 = 151 degrees, m<3 = 12 degrees

Step-by-step explanation:

A: An exterior angle is equal to the sum of the two opposite interior angles. 27+52 in this case.

B: The sum of the measures of the interior angles in a triangle is 180 degrees.

Since we know the two angles in the right trinagle are 90 and 29 degrees, we add them and subract the sum from 180 which gives us 61 degrees.

Applying what we know from part A, 61 degrees+90 degrees = m<2.

And, since we know m<2 = 151 degrees, we add that and the 17 degrees to then subtract that sum from 180 to get the measure of angle 3 which is 12 degrees.

3 0

3 years ago

Let x be the amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train. Suppose that the d

larisa [96]

Answer:

a) $P(X$

$P(X>14) = 1-P(X$

b) $P(7< X$

c) We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

Step-by-step explanation:

For this case we define the random variable X as he amount of time (in minutes) that a particular San Francisco commuter must wait for a BART train, and we know that the distribution for X is given by:

$X \sim Unif (a=0, b =20)$

Part a

We want this probability:

$P(X$

And for this case we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a} = \frac{x-0}{20-0}= \frac{x}{20}$

And using the cumulative distribution function we got:

$P(X$

For the probability $P(X>14)$ if we use the cumulative distribution function and the complement rule we got:

$P(X>14) = 1-P(X$

Part b

We want this probability:

$P(7< X$

And using the cdf we got:

$P(7< X$

Part c

We want to find a value c who satisfy this condition:

$P(x$

And using the cumulative distribution function we have this:

$P(x$

And solving for c we got:

$c = 20*0.9 = 18$

3 0

2 years ago