A cylinder has a base diameter of 20 feet and a height of 3 feet. What is its volume in cubic feet, to the nearest tenths place?

Decide whether you would use a permutation, a combination, or neither. Next, write the solution using permutation notation or co

Zepler [3.9K]

Answer:

Permutation is used.

No. of arrangements = 1260

Step-by-step explanation:

Permutation is used for choosing & arrangement of 'r' out of 'n' objects, when sequence is important.

Total no. of alphabets in CORRECT = 7

C is repeated twice, R is repeated twice

So, Total No. of arrangements = <u>7 !</u>

(2!)(2!)

= 5040 / 4

= 1260

5 0

3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

3 years ago

Which does not represent an integer?

miv72 [106K]

Answer:

The answer is D

Step-by-step explanation:

Let's see all choices in detail

A . 0 it is correct because 0 is an integer

B .It seems like rational number but it is not simplified yet so -18 \ 2= -9

C .

$\sqrt{9} = 3 \: so \: it \: is \: also \: integer$

D . 4\5 it is decimal so it is rational number not integer

I hope u like it

4 0

3 years ago

HELPPPPP!!!! MEEE!!! PLEASE!!! ASAPPP!!!!

mario62 [17]

Umm, what grade are you in . i’ll see if i can help

6 0

3 years ago

△PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined a

Sergeeva-Olga [200]

In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.

The answer is in bold type below.

<span>All interior angles must be given to determine similarity.
The triangles are not similar.
Similarity cannot be determined from the given information.
The triangles are similar. </span>

3 0

3 years ago

Read 2 more answers