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taurus [48]
2 years ago
12

What is the domain and range of the function f(x)=−3/2(4)^(x−3)−1?

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
5 0

Answer:

Domain: (−∞,∞)

Range: (−∞,∞)

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What z score in a normal distribution has 33% of all score above it? ap stats quiz 2.2a answers?
Sladkaya [172]

What z score in a normal distribution has 33% of all score above it?

Answer: A z score which has 33% of all scores above it, will have 67% of all scores  below it.

To find the required z score, we need to find the z value corresponding to probability 0.67.

Using the standard normal table, we have:

z(0.67)=0.44

Therefore, the z score = 0.44 has 33% of all score above it.


8 0
3 years ago
What is the inverse of f(x)=4x+5?
cestrela7 [59]

Answer:

C

Step-by-step explanation:

swap y and x in the function. that is

x = f(y)

we get x=4y+5

<em>S</em><em>o</em><em>l</em><em>v</em><em>e </em><em>for </em><em>y</em>

(x-5)/4=y

f ^{ - 1}(x) =  \frac{1}{4}  (x - 5)

3 0
2 years ago
Solve the for the variable. SHOW ALL WORK/EXPLAIN EVERY STEP!!!<br>2(x-2)-5=3-2x+6​
tiny-mole [99]

Answer:

x=9/2

Step-by-step explanation:

First distribute 2

2x-4-5=3-2x+6

Add the like terms on the left side -4-5=-9

2x-9=3-2x+6

Do this with the right side 3+6=9

2x-9=-2x+9

Add 9 from the left side to the right side

2x=-2x+18

Then add 2x from the right side to the left side

4x=18

Divide 4 from both sides

x=18/4 or 9/2

4 0
3 years ago
Read 2 more answers
Find 9P9 and 9C9. Why do the answers differ?​
sveta [45]

We have been given two expressions 9P9\text{ and }9C9. We are asked to find the value of each.

To find 9P9, we will use permutations formula.

^nP_r=\frac{n!}{(n-r)!}, where

P = Number of permutations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

9P9=\frac{9!}{(9-9)!}

9P9=\frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{(0)!}

9P9=\frac{362880}{1}                   Using 0!=1

9P9=362880

To find 9C9, we will use combinations formula.

^nC_r=\frac{n!}{r!(n-r)!}, where

C = Number of combinations,

n = The total number of objects in the set,

r = Number of objects being chosen from the set.

9C9=\frac{9!}{9!(9-9)!}

9C9=\frac{9!}{9!(0)!}

9C9=\frac{9!}{9!\cdot 1}     Using 0!=1

Cancelling out 9!, we will get:

9C9=\frac{1}{1}

9C9=1

The answers differ because order. With permutations we care about the order of the elements, while with combinations we don't.  

3 0
3 years ago
Is -1/4 a rational number
pav-90 [236]

Answer:

Yes.

Step-by-step explanation:

It can be expressed as a ratio and it is a fraction.

5 0
3 years ago
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