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kiruha [24]
3 years ago
9

The expression (x^-8) (x^3) is equivalent to the expression x^n. what is the value of n?​

Mathematics
1 answer:
mash [69]3 years ago
7 0

Answer:

n=-5

Step-by-step explanation:

You must multiply x^{-8}*x^{3}. The laws of exponents state that when multiplying exponents of the same base, you can just add the exponents and raise the base to the sum of the exponents. So, x^{-8}*x^{3}=x^{(-8+3)}=x^{-5}.  Since our end product is x^{-5}, n is equal to -5.

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An unfair coin with​ Pr[H] = 0.2 is flipped. If the flip results in a​ head, a marble is selected at random from a urn containin
satela [25.4K]
Normally when dealing with coins the probability of getting heads or tails is 0.5 each. However in this case since its an unfair coin, the probability of getting heads is 0.2. 
H - head 
T - tails
R - red marble
pr (H) = 0.2
urn
6 red and 4 blue
pr (T)   = 0.8
urn
3 red and 5 blue

when heads is obtained 
red - 6/10 -0.6
blue - 4/10 - 0.4
therefore when multiplying with 0.2 probability of getting heads
pr (R ∩ H) red - 0.6*0.2 = 0.12

when tails is obtained 
red - 3/8 - 0.375
blue - 5/8 - 0.625
when multiplying with 0.8 probability of getting tails
pr (R ∩ T) red - 0.375 * 0.8 = 0.3

using bayes rule the answer can be found out, 
the following equation is used;
pr (H | R) = pr (R ∩ H) / {pr (R ∩ H) + pr (R ∩ T)}
               = 0.12 / (0.12 + 0.3)
               = 0.12 / 0.42
               = 0.286
the final answer is 0.286
6 0
3 years ago
A sporting goods store is having a closeout on a certain style of running shoes. They are marked 55% off the regular price. The
sweet-ann [11.9K]

Answer:

43.97

Step-by-step explanation:

just minus both the numbers but dont forget to put the percentage after the 55

5 0
2 years ago
Y - 6 = 4(1 - 4)
klasskru [66]

y - 6 = 4(1 - 4)

y - 6 = 4 - 16

y - 6 = -12

y = -12 + 6

y = -6

This is a horizontal line through the point (0, -6). See below.

4 0
3 years ago
The perimeter of a rectangle is 54 meters. One side is three meters less than four times the length of the other side. Find the
Elenna [48]

Answer:

6 and 21 meters long

Step-by-step explanation:

You make an equation from what you got (there are 2 widths and 2 lengths)

2(4w-3)+2w=54---->10w-6=54---> 10w=60 ----> w=6 ---> plug in the rest and you get 21 as the length.

or... make W+L=28 and guess and check!!! takes longer but works!

7 0
3 years ago
Match each transformation of function fwith a feature of the transformed function.
Grace [21]

The functions and their properties are

  • The function f(x) has its vertical asymptote at x = 0
  • The x-intercept of the function h(x) is (0.5,0)

<h3>How to match the functions and their properties?</h3>

The equations of the functions are given as:

f(x) = ln(x)

g(x) = -1/2f(x - 2)

h(x) = f(x - 1/2)

From the given graph, we can see that the function f(x) has its vertical asymptote at x = 0

h(x) = f(x - 1/2) implies that the function f(x) is shifted 1/2 units right to form h(x)

This means that the x-intercept of the function h(x) is 1/2 units to the right of the x-intercept of the function f(x)

Hence, the x-intercept of the function h(x) is (0.5,0)

Read more about functions at:

brainly.com/question/4025726

#SPJ1

6 0
1 year ago
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