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4 years ago

CAN SOMEONE PLEASE HELP ME

Mathematics

2 answers:

7nadin3 [17]4 years ago

7 0

Answer:

B. When it was purchased (year 0), the coin was worth $3.

Step-by-step explanation:

We have been given graph of function $f(t)=3\cdot 2^t$ , which represents the value of a rare coin in the year t. We are asked to tell the meaning of the y-intercept.

We know that y-intercept is the point, where graph intersects y-axis. It is also known as the initial value.

The y-intercept of the function will be at $t=0$ . Upon substituting $t=0$ in our given formula, we will get:

$f(0)=3\cdot 2^0$

$f(0)=3\cdot 1$

$f(0)=3$

So, the y-intercept of our given function would be 3.

Since the given function represents the value of a rare coin in the year t, so y-intercept $(t=0)$ tell us that the value of coin is $3, when it was purchased and option B is the correct choice.

I am Lyosha [343]4 years ago

3 0

The y-intercept is where the curve crosses through the y axis (it intercepts it). In this case the y intercept would be worth three dollars at year 0. As years are time, and time is generally placed along the x axis.

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PLEASE HELP!!!! i REALLY NEED TO GET THIS DONE AND AM HAVING TROUBLE WITH THIS ONE!!!!

zubka84 [21]

Answer:

a[n] = a[n-1]×(4/3)

a[1] = 1/2

Step-by-step explanation:

The terms of a geometric sequence have an initial term and a common ratio. The common ratio multiplies the previous term to get the next one. That sentence describes the recursive relation.

The general explicit term of a geometric sequence is ...

a[n] = a[1]×r^(n-1) . . . . . where a[1] is the first term and r is the common ratio

Comparing this to the expression you are given, you see that ...

a[1] = 1/2

r = 4/3

(You also see that parenthses are missing around the exponent expression, n-1.)

A recursive rule is defined by two things:

the starting value(s) for the recursive relation
the recursive relation relating the next term to previous terms

The definition of a geometric sequence tells you the recursive relation is:

the next term is the previous one multiplied by the common ratio.

In math terms, this looks like

a[n] = a[n-1]×r

Using the value of r from above, this becomes ...

a[n] = a[n-1]×(4/3)

Of course, the starting values are the same for the explicit rule and the recursive rule:

a[1] = 1/2

7 0

3 years ago

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5. (a) What are

Dmitriy789 [7]

Answer:

a) $\bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)$

b) $P(39.6 \leq \bar X \leq 40.4)=0.4778$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

$X \sim N(\mu=40,\sigma=5)$

And let $\bar X$ represent the sample mean, the distribution for the sample mean is given by:

(a) What are the mean and standard deviation of the sampling distribution?

$\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})$

On this case $\bar X \sim N(40,\frac{5}{\sqrt{64}}=0.625)$

(b) What is the approximate probability that x will be within 0.4 of the population mean μ? (Round your answer to four decimal places.) P =

So for this case we want this probability:

$P(40-0.4 \leq \bar X \leq 40+0.4)= P(39.6 \leq \bar X \leq 40.4)$

And for this case we can use the z score given by this formula:

$Z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And using this concept we got this:

$P(\frac{39.6 -40}{\frac{5}{\sqrt{64}}} \leq \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}} \leq \frac{40.4 -40}{\frac{5}{\sqrt{64}}})$

$P(-0.64 \leq Z \leq 0.64) =P(z$

8 0

3 years ago

Ms. Thomas took her family and friend to the movies. There were a total of 16 people. Children tickets cost $6 and adult tickets

Korolek [52]

Answer:

11 adults

Step-by-step explanation:

First, set up a system of equations:

Let x = number of children and y = number of adults

There is a total of 16 people, so x+y = 16. This is your first equation.

Each child ticket costs $6, so 6x = cost of children's tickets based on the number of children present (x)

Each adult ticket costs $9, so 9y = cost of adult's tickets based on the number of adults present (y)

The total cost of tickets is $129, so 6x+9y = 129. This is your second equation.

Your system of equations is now this:

x + y = 16

6x + 9y = 129

You can solve this system using the method of elimination, where we will eliminate the variable x (number of children), since we are focused on y (number of adults).

Multiply the top equation by -6. This will give the following equation:

-6x - 6y = -96

You can now solve the system of equations by placing the new equation under the second equation like this:

6x + 9y = 129

-6x - 6y = -96

Now, add the two equations together.

6x + (-6x) = 0

9y + (-6y) = 3y

129 + (-96) = 33

After doing this, you get the following equation:

3y = 33

As you can see, the variable x has been eliminated, and you are left with y.

Solve the equation for y:

3y = 33

y = 33/3 = 11

y = 11 adults

5 0

4 years ago

2(15) - 3(4) What is the answer

makkiz [27]

Answer:

Step-by-step explanation:

Do $2(15)$ to get 30.

Do $-3(4)$ to get -12.

Do $30-12$ to get 18.

18 is the answer.

5 0

3 years ago

Solve using double substitution y=x-7 y=-2x+8

Ivenika [448]

Answer:

(5, -2)

Step-by-step explanation:

x - 7 = -2x + 8

add 2x to both sides

x - 7 + 2x = -2x + 8 + 2x

3x - 7 = 8

Add 7 to both sides

3x - 7 + 7 = 8 + 7

3x = 15

x = 5

y = 5 - 7

y = -2

Solution (5, -2)

8 0

3 years ago