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2 years ago

What graph represents the function f(x) = 8 1/3^x?

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

B (second graph from left)

Step-by-step explanation:

The function when x=0 will be 1 since any number to the zero exponent is 1. This means only B and D are options.

Because of the fraction, the values will be smaller and have a gentler slope. B is the solution.

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6 1/2+n=12. please explain for me I dunno how to do this.

Temka [501]

Hey there!

Let's first define our goal. Our goal here is to be able to isolate the variable, n, and solve for it by moving everything to the other side. We see that we have two sides of the equation, and by using the property of equality which states that whatever you do to one side you do to the other and the expression remains equal, we can solve this equation.

It looks like the only thing we have on the left side with n is that 6 1/2. In order to get rid of it, we must subtract it from both sides, because the property of equality states you must do the inverse operation.

We have:

n = 12 - 6 1/2

n = 5 1/2

Hope this helps!

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2 years ago

I hope I will win the race but the ____ are against me because I haven’t exercised in months

kupik [55]

(Odds) I have to put 20 characters

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2 years ago

London has 3 meters of wood that he is using to make a small fence around his garden. If his fence has 5 sections, how wide is e

salantis [7]

Answer:

60cm

Step-by-step explanation:

total length of wood = 3m

number of sections = 5

width of each section = 3/5 = 0.6 m

= 60cm

3 0

2 years ago

There are 4 people at a party. Consider the random variable X=’number of people having the same birthday ’ (match only month, N=

yulyashka [42]

Answer:

S = {0,2,3,4}

P(X=0) = 0.573 , P(X=2) = 0.401 , P(x=3) = 0.025, P(X=4) = 0.001

Mean = 0.879

Standard Deviation = 1.033

Step-by-step explanation:

Let the number of people having same birth month be = x

The number of ways of distributing the birthdays of the 4 men = (12*12*12*12)

The number of ways of distributing their birthdays = 12⁴

The sample space, S = { 0,2,3,4} (since 1 person cannot share birthday with himself)

P(X = 0) = $\frac{12P4}{12^{4} }$

P(X=0) = 0.573

P(X=2) = P(2 months are common) P(1 month is common, 1 month is not common)

P(X=2) = $\frac{3C2 * 12P2}{12^{4} } + \frac{4C2 * 12P3}{12^{4} }$

P(X=2) = 0.401

P(X=3) = $\frac{4C3 * 12P2}{12^{4} }$

P(x=3) = 0.025

P(X=4) = $\frac{12}{12^{4} }$

P(X=4) = 0.001

Mean, $\mu = \sum xP(x)$

$\mu = (0*0.573) + (2*0.401) + (3*0.025) + (4*0.001)\\\mu = 0.879$

Standard deviation, $SD = \sqrt{\sum x^{2} P(x) - \mu^{2}} \\SD =\sqrt{ [ (0^{2} * 0.573) + (2^{2} * 0.401) + (3^{2} * 0.025) + (4^{2} * 0.001)] - 0.879^{2}}$

SD = 1.033

4 0

3 years ago

What are the dangers of having overdraft protection?

Oksanka [162]

Your bank can charge you a overdraft fee, it can effect your credit score <span>if you sign up for </span>overdraft <span>protection on the account.</span>

4 0

3 years ago