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4 years ago

Help me what is the answer ?

Mathematics

2 answers:

pentagon [3]4 years ago

7 0

Answer:

Correct choce is (a). 30.

Step-by-step explanation:

Given equation is $f(x)=x^2-x$ .

Now we need to find the value of (fof)(3). Then select correct matching choice from the given choices. Where given choices are:

(a). 30

(a). 33

(a). 6

(a). -6

Now let's find $(fof)(3)$

$(fof)(3)=f(f(3))$

$(fof)(3)=f(3^2-3)$

$(fof)(3)=f(9-3)$

$(fof)(3)=f(6)$

$(fof)(3)=6^2-6$

$(fof)(3)=36-6$

$(fof)(3)=30$

Hence correct choce is (a). 30.

andriy [413]4 years ago

6 0

Answer:

The correct answer is option A. 30

Step-by-step explanation:

It is given that

f(x) = x² - x

<u>To find f o f(3)</u>

F(x) = x² - x

f(3) = 3² - 3

= 9 - 3 6

f o f(3) = f(6)

f(6) = 6² - 6

= 36 - 6 = 30

Therefore the correct answer is f o f(3) = 30

The correct option is Option a. 30

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Write 25*24*23*22 as a quotient of factorials and as a permutation

Kipish [7]

Answer:

(a)

$25\times 24\times 23\times 22=\frac{25!}{21!}$

(b)

$25\times 24\times 23\times 22=P(25,4)$

Step-by-step explanation:

Quotient of factorials:

we are given

$25\times 24\times 23\times 22$

we can multiply top and bottom term by 21!

$25\times 24\times 23\times 22=\frac{25\times 24\times 23\times 22\times 21!}{21!}$

we can write as

$25\times 24\times 23\times 22=\frac{25!}{21!}$

As a permutation:

we know permutation formula

$P(n,r)=\frac{n!}{(n-r)!}$

now, we can compare and find 'n' and 'r'

$n=25$

$n-r=21$

we can plug back n=25

$25-r=21$

$r=4$

so, we can write

$25\times 24\times 23\times 22=P(25,4)$

5 0

3 years ago

) Josef paid $10 for 6 avocados at the Grocery Mart. He wants to know what the price would be

Amiraneli [1.4K]

Answer:

5.00

Step-by-step explanation:

the price for 3 avacados is 3.00 because 6 are 10 if you divide 10 by 2 you get 5

6 0

3 years ago

Read 2 more answers

Determine if these expression is equivalent or not.<br> 7+7x;7(x+1/7)<br> 2.5(3+x);2.5x+7.5

Helga [31]

$7(x+\frac{1}{7})=7 \times x+7 \times \frac{1}{7}=7x+1 \not= 7+7x \\
not \ equivalent \\ \\
2.5(3+x)=2.5 \times 3+ 2.5 \times x=7.5+2.5x=2.5x+7.5 \\
equivalent$

4 0

3 years ago

You know that y is a normally distributed variable with a variance of 9. You do not know its mean. You collect some data. For ea

Dima020 [189]

Answer:

CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

Step-by-step explanation:

Given that;

Variance σ² = 9

so standard deviation σ = √9 = 3

with 95% confidence interval in each case. thus, The Z value for 95% confidence is Z = 1.96

Null Hypotheses H₀ : μ = 2

Now

a) (8,1,5)

sample mean x" = (8+1+5) / 3 = 14/3 = 4.6666

n = 3

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 4.6666 ± ( 1.96 × 3/√3 )

CI = 4.6666 ± 3.3948

so CI = ( 1.2718, 8.0614 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

b) (8,1,5,-4,-8)

sample mean X" = (8 +1 + 5 - 4 - 8) / 5 = 2 / 5 = 0.4

n = 5

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 0.4 ± ( 1.96 × 3/√5 )

CI = 0.4 ± 2.6296

so CI = ( -2.2296, 3.0296 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

c) (8,1,5,-4,-8,4,8,5)

sample mean x" = (8 + 1 + 5 - 4 - 8 + 4 + 8 + 5) / 8 = 19 / 8 = 2.375

n = 8

Confidence Interval CI = x" ± ( z × σ/√n )

CI = 2.375 ± ( 1.96 × 3/√8 )

CI = 2.375 ± 2.0788

so CI = ( 0.2962, 4.4538 )

Since value 2 is contained within Confidence Interval, fail to Reject H₀

8 0

3 years ago

What is the complement of randomly drawing a tile with a vowel on it from the set of 13 scrabble tiles shown?

saul85 [17]

The correct answer is B. Drawing B, C, L, M, N, R, T, or Z

Further Explanation:

Let us first define complement first.

The complement of an event is the opposite of it. For example in this case, the complement of drawing a vowel will be not drawing a vowel.

So,

Let S be the set of alphabets present on scrabble tiles

$S = \{A,B,C,E,E,E,L,M,N,O,R,T,Z\}$

Drawing a vowel will constitute

$\{A,E,E,E,O\}$

So, the complement (not Drawing a vowel) will be:

$\{B,C,L,M,N,R,T,Z\}$

So drawing any of the consonant from the consonants present on scrabble tiles will be the complement of drawing a vowel.

Hence, Option B is correct ..

Learn More:

#LearnwithBrainly

8 0

3 years ago