Ask question

Ask question

All categories

sleet_krkn [62]

3 years ago

5

Find the equation for an exponential function that passes through the pair of points given below. (Round all coefficients to 4 d

ecimal places when necessary.) Through (2, 18) and (4, 162)f(x) = __.

1 answer:

ollegr [7]3 years ago

7 0

Answer: f(x) = 2(3^x)

Step-by-step explanation:

You might be interested in

Is 33,44,55 a right triangle?

Paul [167]

Answer:

Yes!

Step-by-step explanation:

We know that right triangles follow the Pythagorean Theorem, where

$a^{2} + b^{2} = c^{2}$

So we will put our side lengths into this formula, keeping in mind that c = the hypotenuse, which is the longest side. a and b are fairly arbitrary.

$33^{2} + 44^{2} = 55^{2}$

If this works, we know it's a right triangle.

1089 + 1936 = 3025

3025 = 3025

It worked! It's a right triangle!!

6 0

3 years ago

Read 2 more answers

C<br> What is the missing hypotenuse length? *<br> х<br> 6<br> 8

4vir4ik [10]

Step-by-step explanation:

By Pythagoras' Theorem, 6^2 + 8^2 = x^2.

x^2 = 36 + 64 = 100, x = 10.

7 0

3 years ago

A study indicates that 62% of students have have a laptop. You randomly sample 8 students. Find the probability that between 4 a

Scrat [10]

Answer:

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a laptop, or they do not. The probability of a student having a laptop is independent from other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A study indicates that 62% of students have have a laptop.

This means that $n = 0.62$

You randomly sample 8 students.

This means that $n = 8$

Find the probability that between 4 and 6 (including endpoints) have a laptop.

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{8,4}.(0.62)^{4}.(0.38)^{4} = 0.2157$

$P(X = 5) = C_{8,5}.(0.62)^{5}.(0.38)^{3} = 0.2815$

$P(X = 6) = C_{8,6}.(0.62)^{6}.(0.38)^{2} = 0.2297$

$P(4 \leq X \leq 6) = P(X = 4) + P(X = 5) + P(X = 6) = 0.2157 + 0.2815 + 0.2297 = 0.7269$

72.69% probability that between 4 and 6 (including endpoints) have a laptop.

3 0

3 years ago

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, a

pshichka [43]

Answer:

D

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

8 0

3 years ago

Change 3/8 in to decimal show working

mixas84 [53]

Answer:

0.375

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

3/8 = 0.375

7 0

3 years ago