Express 0.009238 to 3 significant figures

A circle has a circumference of 144π. What is the radius of the circle?

Artist 52 [7]

To find the circumference of a circle you have to multiple the radius by 2 and also by pi. So, to find the radius when given just the circumference, who have to do the reverse operation and divide the circumference by 2 and also by pi to get the answer of 22.92993631, which you could of course round.

5 0

4 years ago

They have a rectangle ABCD as shown below, where AB = 24cm BC = 10cm and AE = 13cm

alex41 [277]

Answer:

A. Area of ABCD = 240 $cm^{2}$

B. 60 cm

C. 36 cm

D. 50 cm

Step-by-step explanation:

Given: AB = 24cm BC = 10cm and AE = 13cm.

A. Since a rectangle is a 2 dimensional figure, it has no volume but area.

So that,

the area of the rectangle ABCD = length x width

= 24 x 10

= 240 $cm^{2}$

B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.

$BD^{2}$ = $BC^{2}$ + $DC^{2}$

= $10^{2}$ + $24^{2}$

= 676

BD = $\sqrt{676}$

= 26

BD = 26 cm

so that,

the circumference of BCD = 10 + 24 + 26

= 60 cm

C. To calculate the circumference of the BEC triangle,

AC = 26 cm, AE = 13 cm

CE = 26 - 13

= 13 cm

CE = 13 cm

The circumference of the BEC triangle = 13 + 13 + 10

= 36 cm

D. The circumference of the DEC triangle = 13 + 13 + 24

= 50 cm

7 0

3 years ago

Please help fast i am struggling

klemol [59]

B is the correct answer for your question I do believe, I hope that helped you. If not I am sorry, I tried to answer fast for you.

6 0

3 years ago

Apple juice costs $3.00 after a 40% discount. Which equation would allow you to find the original price of the apple juice. X re

Stells [14]

Answer: 0.4x = 3 is the answer

Step-by-step explanation:

4 0

3 years ago

At Pike Place Fish Market in Seattle, customers can purchase a variety of different types of seafood. One type of seafood sold a

allsm [11]

Answer:

$z=1.28$

And if we solve for a we got

$a=3.6 +1.28*0.8=4.624$

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

C. 4.64

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(3.6,0.8)$

Where $\mu=3.6$ and $\sigma=0.8$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.1$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.28$

And if we solve for a we got

$a=3.6 +1.28*0.8=4.624$

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

C. 4.64

8 0

3 years ago

Express 0.009238 to 3 significant figures​

Express 0.009238 to 3 significant figures