All categories

2 years ago

Write an exponential function that passes through the points (0, 3) and (-1, 6)

1 answer:

3 0

Standard form of an exponential function is y=ab^x
when x=0, y=3, 3=ab^0, so you can figure out that a=3
when x=-1, y=6, 6=3b^(-1), b^(-1)=2, b=1/2
so the equation is y=3(1/2)^x

You might be interested in

You are working in a primary care office. Flu season is starting. For the sake of public health, it is critical to diagnose peop

Aleksandr-060686 [28]

Answer:

E. 0.11

Step-by-step explanation:

We have these following probabilities:

A 10% probability that a person has the flu.

A 90% probability that a person does not have the flu, just a cold.

If a person has the flu, a 99% probability of having a runny nose.

If a person just has a cold, a 90% probability of having a runny nose.

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have that:

What is the probability that a person has the flu, given that she has a runny nose?

P(B) is the probability that a person has the flu. So P(B) = 0.1.

P(A/B) is the probability that a person has a runny nose, given that she has the flu. So P(A/B) = 0.99.

P(A) is the probability that a person has a runny nose. It is 0.99 of 0.1 and 0.90 of 0.90. So

$P(A) = 0.99*0.1 + 0.9*0.9 = 0.909$

What is the probability that this person has the flu?

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.1*0.99}{0.909} = 0.1089 = 0.11$

The correct answer is:

E. 0.11

5 0

2 years ago

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 45, 20, 25

Setler [38]

Answer:

Step-by-step explanation:

To see if two events are independent you can use the formula P(a|b) = P(a)

In this problem P(C|Y) = 35/75 = .4667 and P(C) = 110/300 = 3.667,

therefore C and Y are not independent events because P(C∣Y) ≠ P(C).

The answer is choice D

4 0

2 years ago

Read 2 more answers

A bottle contains 2 green gum balls, 2 red gum balls, and 1 blue gum ball.

aliya0001 [1]

Answer:

3/5

Step-by-step explanation:

First add all of the balls together to know the total.

2 + 2 + 1 = 5

Probability of Green: 2/5

Probability of Red: 2/5

Probability of Blue: 1/5

Add red and blue together

2/5 + 1/5 = 3/5

3/5

Brainliest would be appreciated. :)

5 0

2 years ago

Please help me with this :(

egoroff_w [7]

The answer is C have a good day.-

6 0

2 years ago

Chen has 17CDs. She gives 2 to her brother and buys 4 more. Her brother gives her 1 and she gives 3 to her best friend. How many

d1i1m1o1n [39]

Answer: she has 17 CDs now.

Step-by-step explanation:

The total number of CDs that Chen had initially is 17.

She gives 2 to her brother. This means that she would be having

17 - 2 = 15

She buys 4 more. It means that she would be having

15 + 4 = 19

Her brother gives her 1. So the number that she has is

19 + 1 = 20

she gives 3 to her best friend. Therefore, the number of CDs that Chen has now is

20 - 3 = 17

6 0

2 years ago