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PSYCHO15rus [73]
2 years ago
13

If g(x)=(1/4)^x, find g(-3)

Mathematics
1 answer:
swat322 years ago
4 0

G(x) = (1/4)^x

Find g(-3) this means to replace x with -3

G(-3) = (1/4)^-3

Apply the negative exponent rule :

A^-b = 1/a^b

G(-3) = 1/(1/4)^3

G(-3) = 1/ (1/64)

G(-3) = 64

Answer: 64

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An electronics store has portable CD players on sale for $54.95. If the local sales tax is 6.5%, what is the total cost of a CD
borishaifa [10]

Answer:

Total cost of CD player = $58.52

Step-by-step explanation:

Given data:

Price of CD player on sale= $54.95

Local sales tax = 6.5%

Total cost of CD player = ?

Solution:

Local sales tax= (6.5 * 54.95)/100 = $3.57

Total cost of CD player = Price of CD player on sale + Local sales tax

                                       =  $54.95 + $3.57

         Total cost of CD player = $58.52



7 0
3 years ago
The quotient of a secret number and 4 is 9
Anna [14]
Let's call the 'secret number' <em>x</em>.

A quotient is basically a Dividend/Divisor. If the Divisor is 4, we need to find the dividend, which is <em>x</em>.

<em />Therefore:
<em>x/4=9
</em><em />We need to isolate the variable by the multiplication property of equality.
<em>x=36</em>.

As a result, the "secret number" is 36
4 0
3 years ago
Plsss !! help me i need to find the area as a sum and area as a product. I need the steps
dybincka [34]

Step-by-step explanation:

=3x (2x+7)+2(2x+7)

=6x2+21x+4x+14

6x2+25x +14

7 0
2 years ago
A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a
Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that n = 0.62

You randomly sample 8 students.

This means that n = 8

Find the probability that between 4 and 6 (including endpoints) have a laptop.

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157

P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815

P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297

P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0
3 years ago
Find the slope of the line ​
viva [34]

Answer:

-1

Step-by-step explanation:

goes down 1 across 1

3 0
3 years ago
Read 2 more answers
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