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4 years ago

How may permutations of the word “spell” are there?

Mathematics

2 answers:

vovangra [49]4 years ago

8 0

I believe that there are 60 permutations of the word spell.

xeze [42]4 years ago

4 0

See, to make a 5-letter word , 5 places are to be filled ___ ___ ___ ___ ___ 1st 2nd 3rd 4th 5th the first place can be filled in 5 ways (s,p,e,l,l) 2nd place in 4 ways. 3rd place in 3 ways. 4th place in 2 ways. 5th place in 1 way. now , ther are 2L's. hence total no. of words that can be formed=(5*4*3*2*1) / 2*1

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Jasmine buys the magic carpet on sale for $374. She saved $66 off the regular price. What percent was the price discounted?

Furkat [3]

Answer:

15%

Step-by-step explanation:

Let c represent the regular price of the carpet.

Then:

sale price = regular price less discount

$374 = c - $66

Adding $66 to both sides isolates (solves for) c:

$374 + $66 = c = $440. This is the regular price.

$66

---------- = 0.15 This is the fraction of the regular price by

$440 which the regular price is reduced.

Then the percentage of this discount was 0.15(100%) = 15%

8 0

3 years ago

Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

gayaneshka [121]

Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

$AB = \sqrt{72}$

for the side BC: B(4,-4,3) and C(7,6,4)

$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

Now we all the sidelengths:

to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

6 0

3 years ago

In an inductive generalization, in order to achieve an error margin of plus or minus 3 percentage points at a confidence level o

ANTONII [103]

Let n = required random sample size.

Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.

Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²

This means that the sample size is about 128 times the population variance.

Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.

6 0

3 years ago

NOT TO SURE!! LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS

Nana76 [90]

Answer:

C) Intersecting

Step-by-step explanation:

happy to help ya:)

4 0

3 years ago

Read 2 more answers

Twelve percent of U.S. residents are in their forties. Consider a group of nine U.S. residents selected at random. Find the prob