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2 years ago

8

If the distance between two points (ab) on a circle is 15 cm and the angle between those two cities is 18˚, what is the circumfe

rence of the circle in centimeters

1 answer:

mrs_skeptik [129]2 years ago

7 0

Since 18 is one twentieth of the angle of a full circle, 360, the circumference is 20 times the arc distance of 15, or 300

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(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *

Olegator [25]

Answer: $\frac{4}{5}$

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get $\frac{8}{10}$ , right?

Now, simplify 8/10.

You get 4/5.

8 0

2 years ago

Can someone help me please

Nat2105 [25]

Ithe diameter would be about 5

4 0

1 year ago

Read 2 more answers

) Set up a double integral for calculating the flux of F=3xi+yj+zk through the part of the surface z=−5x−2y+2 above the triangle

Fynjy0 [20]

The surface (call it $S$ ) is a triangle with vertices at the points

$x=0,y=0\implies z=2\implies(0,0,2)$

$x=0,y=2\implies z=-2\implies(0,2,-2)$

$x=2,y=0\implies z=-8\implies(2,0,-8)$

Parameterize $S$ by

$\vec s(u,v)=(1-v)(2,0,-8)+v\bigg((1-u)(0,2,-2)+u(0,0,2)\bigg)=(2-2v,2v-2uv,-8+6v+4uv)$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $S$ to be

$\vec s_v\times\vec s_u=(20v,8v,4v)$

Then the flux of $\vec F$ across $S$ is

$\displaystyle\iint_S\vec F(x,y,z)\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_v\times\vec s_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1(6-6v,2v-2uv,-8+6v+4uv)\cdot(20v,8v,4v)\,\mathrm du\,\mathrm dv$

$=\displaystyle8\int_0^1\int_0^1(11v-10v^2)\,\mathrm du\,\mathrm dv=\boxed{\frac{52}3}$

8 0

3 years ago

What is 8 minus 2.5 and explain how u got your answer.

Bess [88]

8-2.5 is 5.5 because when you subtract 2 from 6 you get 6b and when you subtract .5 from 6 you get 5.5

8 0

2 years ago

Read 2 more answers

Without doing any computation, decide which has a higher probability, assuming each sample is from a population that is normally

Nana76 [90]

Answer: The probability in (b) has higher probability than the probability in (a).

Explanation:

Since we're computing for the probability of the sample mean, we consider the z-score and the standard deviation of the sampling distribution. Recall that the standard deviation of the sampling distribution approximately the quotient of the population standard deviation and the square root of the sample size.

So, if the sample size higher, the standard deviation of the sampling distribution is lower. Since the sample size in (b) is higher, the standard deviation of the sampling distribution in (b) is lower.

Moreover, since the mean of the sampling distribution is the same as the population mean, the lower the standard deviation, the wider the range of z-scores. Because the standard deviation in (b) is lower, it has a wider range of z-scores.

Note that in a normal distribution, if the probability has wider range of z-scores, it has a higher probability. Therefore, the probability in (b) has higher probability than the probability in (a) because it has wider range of z-scores than the probability in (a).

5 0

2 years ago