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2 years ago

How many unique ways are there to arrange the letters in the word SASSY?

2 answers:

8 0

Hello Pinkcapote! For these type of problems you'll be working with factorials.

Since there are 5 letters in this problem your answer will be 5! which means F factorial.

So 5! = 1*2*3*4*5 = 120

But since there are 3 letters that are the same you'll only be using 120 / 3 = 40

So there are 40 unique ways to arrange the letters in the word SASSY.

Delicious77 [7]2 years ago

3 0

The answer would use factorials so it would be 5!/3! since there are 5 letters and 3 of them are the same. 5!/3!=120/6=20.

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From a recent company survey, it is known that the proportion of employees older than 55 and considering retirement is 8%. For a

Akimi4 [234]

Answer: 2.845

Step-by-step explanation:

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{n(1-p)p}$ , where p is the probability of getting success in each trial and n is the sample size.

Given : Sample size : n=110

The proportion of employees older than 55 and considering retirement : p=0.08

Then, the standard deviation is given by :-

$\sigma=\sqrt{110(1-0.08)0.08}\approx2.845347079\approx2.845$

Hence, the standard deviation for the sampling distribution of the sample proportions is 2.845.

3 0

2 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$

4 0

2 years ago

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lbvjy [14]

Answer:

go stinky in the toilet now and homework later

9 0

2 years ago

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Where to locate the nonnegative abscissa, positive ordinate

Fofino [41]

The location to the nonegative abscissa, positive ordinate is in the Q1 it means it is in the fisrt quadrant as seen in the next image: http://www.mathnstuff.com/math/spoken/here/1words/q/q2.htm
Hope this helps

4 0

2 years ago

Find the equation of the line below if necessary use the slash (/) to indicate a division bar (2,6)(1,3)

777dan777 [17]

Given that the line passes through points:
(2,6), (1,3)
the equation will be given by:
m(x-x1)=y-y1
where
slope, m=(y-y1)/(x-x1)
from the points given:
m=(6-3)/(2-1)=3/1=3
thus the equation will be given by:
using point (1,3)
3(x-1)=y-3
3x-3=y-3
hence
y=3x-3+3
y=3x
Answer: y=3x

7 0

2 years ago