Round 15.186 the 1 is underlined.

What is the volume of a cylinder with r=3 and h=10

____ [38]

This is one of those questions where, if you know the formula, it's easy,
and of you don't know the formula, there's no way.

In fact, the whole purpose of the question is to help you remember the formula.

The volume of a cylinder is

 (pi) x (the radius)² x (the height).

For this particular cylinder, that's

 (pi) x (3)² x (10) =

 (pi) x (9) x (10) = 90 pi cubic units.

If you use (3.14) for (pi), then that's 282.6 cubic units.

4 0

3 years ago

Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidenc

quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

$n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : $\sigma= 13$

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]

Then, the required sample size would be :

$n=(\dfrac{(2.576)\cdot (13)}{8})^2$

$\Rightarrow\ n=(4.186)^2$

$\Rightarrow\ n=17.522596\approx18$ [Round to next integer.]

Hence, the required minimum sample size = 18

4 0

3 years ago

Can the quadratic polynomial x2+kx+k have equal zeroes for some odd integer k>1

PilotLPTM [1.2K]

No.
The only value that can be put in K that would have the same zeros would be 4 but 4 is not an odd integer. If there was an odd integer that the sum and product would be the same then it would lie on the x-axis. but only 4 fits the criteria.

7 0

3 years ago

Could someone help me on this math question !

Alenkasestr [34]

The answer is 1/3 chances, There are 12 tables in total, 4 red and 8 blue. You can Render that down to 1 red and 2 blue, now there are 3 tables and only 1 is red, therefore the answer is 1/3 chance

6 0

3 years ago

(I need the answer right now please) ΔA'B'C' was constructed using ΔABC and line segment EH. 2 triangles are shown. Line E H is

irina1246 [14]

Answer:

The true statements are

1. BD = DB'

3. m∠EFA = 90°

4. The line of reflection, EH, is the perpendicular bisector of BB', AA', and

CC'

Step-by-step explanation:

* Lets explain how to solve the problem

- Reflection is flipping an object over the line of reflection.

- The object and its image have the same shape and size, but the

figures are in opposite directions from the line of reflection

- The objects appear as if they are mirror reflections, with right and left

reversed

- The line of reflection is a perpendicular bisector for all lines joining

points on the figure with their corresponding images

- Look to the attached figure for more understand

* Lets solve the problem

- ΔA'B'C' was constructed using ΔABC and line segment EH, where

EH is the reflection line

- D is the mid-point of BB'

- F is the mid-point of AA'

- G is the mid-point of CC'

* Lets find from the answer the true statements

1. BD = DB'

∵ D is the mid point of BB'

- Point D divides BB' into two equal parts

∴ BD = DB' ⇒ True

2. DF = FG

- It depends on the size of the sides and angles of the triangle

∵ We can't prove that

∴ DF = FG ⇒ Not true

3. m∠EFA = 90°

∵ The line of reflection ⊥ the lines joining the points with their

corresponding images

∴ EH ⊥ AA' and bisect it at F

∴ m∠EFA = 90° ⇒ True

4. The line of reflection, EH, is the perpendicular bisector of BB',

AA', and CC'

- Yes the line of reflection is perpendicular bisectors of them

∴ The line of reflection, EH, is the perpendicular bisector of BB',

AA', and CC' ⇒ True

5. ΔABC is not congruent to ΔA'B'C'

∵ In reflection the object and its image have the same shape and size

∴ Δ ABC is congruent to Δ A'B'C'

∴ ΔABC is not congruent to ΔA'B'C' ⇒ Not true

4 0

3 years ago

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