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3 years ago

Write an exponential function represented by the table

Mathematics

2 answers:

SashulF [63]3 years ago

8 0

Answer:

y = -50(1/5)^x

Step-by-step explanation:

Exponential function:

y = ab^x

As per the table we have:

The initial value is -50 at x= 0
Common ratio is 1/5

Considering the above, a = -50, b = 1/5

The function is:

y = -50(1/5)^x

Tamiku [17]3 years ago

5 0

Answer:

50-10-2-4=34 RESPONS Y

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In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

3 years ago

Canada has a population that is about 1/10 as large as the United States. If Canada's population is about 32 millon, about how m

bezimeni [28]

Since 32 mil is 1/10 of the US pop, multiply 32 mil by 10 so you get the 10/10 aka the whole US pop. That means it would be 320,000,000. All you do is add a zero to 32 mil since you multiply by 10. 32 mil originally had 6 zeros. After multiplying, you have 7 zeros.

5 0

3 years ago

Which of the following are point-slope equations of the line going through (3, 6) and (1, -2)?

Assoli18 [71]

Here, first we need to calculate the slope of the line,
m = y2 - y1 / x2-x1
m = 6 + 2 / 3 -1
m = 8/ 2
m = 4

Now, Take first coordinate: y - 6 = 4 (x - 3)
Second coordinate: y + 2 = 4 (x - 1)

In short, Your Answers would be Option A & F

Hope this helps!

6 0

3 years ago

what is the volume of a triangular pyramid that is 10 inches tall and has a base area of 9 square inches please help

andreyandreev [35.5K]

Answer:

90 but since its a triangle but im

pretty sure you have to divide by 2 so 45 i think

3 0

3 years ago

Solve for x.show your work please - 1/2x < -12

Ratling [72]

Answer:

x <24

Step-by-step explanation:

first cancel negative signs

then transfer 2 to right side

3 0

3 years ago

Read 2 more answers