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4 years ago

Y = f(x) = 4^x

Mathematics

2 answers:

Shkiper50 [21]4 years ago

6 0

Answer:

0.250

Step-by-step explanation:

f(x) = 4^x

x = -1

f(x) = 4^-1

= ¼

= 0.250

Mariana [72]4 years ago

3 0

Answer:

.25

Step-by-step explanation:

f(x) = 4^x

Let x = -1

f(-1) = 4^-1

The negative in the exponent moves the number from the numerator to the denominator

f(-1) = 1/4

We want the number in decimal form

1/4 *25/25 = 25/100 = .25

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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

***WILL GIVE BRAINLIEST***

sergij07 [2.7K]

Answer:

P(a junior or a senior)=1

Step-by-step explanation:

The formula of the probability is given by:

P (AB) = P(A)

Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.

In this case, N is the total number of the students of statistics class.

N=18+10=28

The probability of the union of two mutually exclusive events is given by:

Therefore:

P(a junior or a senior) =P(a junior)+P(a senior)

Because a student is a junior or a senior, not both.

n(a junior)=18

n(a senior)=10

P(a junior)=18/28

P(a senior) = 10/28

P(a junior or a senior) = 18/28 + 10/28

Solving the sum of the fractions:

P(a junior or a senior) = 28/28 = 1

3 0

3 years ago

What is the simplified expression for 4^4 x 4^3/4^5

slava [35]

4^2 is the correct answer

7 0

4 years ago

(3,7) slope 2/7 what is B

finlep [7]

Answer:

y= 2/7x+ 43/7

Step-by-step explanation:

When finding the y intercept, or B, you should use slope intercept and plug in your coordinate. It should look like this: 7=2/7(3) +b. Multiply 3 and 2/7 to get 6/7. Now, this is your equation: 7=6/7+b. Next, subtract 6/7 from both sides to get 43/7. So, your y-intercept is 43/7. This is your final equation: y= 2/7x+ 43/7. Hope this helped!

7 0

4 years ago

1/2 + 2/3 / 1/6 help brainliest who answers first

NISA [10]

Answer:

Two answers are possible

Step-by-step explanation:

Both are listed below

8 0

3 years ago