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2 years ago

Which number is the best approximation for 47√− 23√ ?

2 answers:

4 0

Let's round the numbers into perfect roots. So 23 rounded would be 25, because the square root of 25 is 5, and 47 rounded is 49, because the root of 49 is 7. So 7-5=2. That would be the best approximation for this question.

Nesterboy [21]2 years ago

3 0

Answer:

7.0 is the correct answer I just took the test

Step-by-step explanation:

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HELP ASAP!! What is the average rate of change between x = -3 and x = 4 for the equation y = 8x2?

Llana [10]

Answer:

$x=-3\\y=8(-3)^2\\y=8(9)\\y=72$

$x=4\\y=8(4)^2\\y=8(16)\\y=128$

128-72=56

average rate of change is 56

Step-by-step explanation:

Plz let me know if im right

3 0

2 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

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

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

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

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

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

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

2 years ago

A. points V,U, and T and collinear

podryga [215]

I think the answer is d

3 0

1 year ago

What is the range of the function y=3/x+8?

myrzilka [38]

The domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).

<h3>What are domain and range?</h3>

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

y = 3/(x + 8)

Then the domain of the function is (-∞, -8) and (-8, ∞). Then the range of the function will be (-∞, 0) and (0, ∞).

More about the domain and range link is given below.

brainly.com/question/12208715

#SPJ1

3 0

1 year ago

I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!

polet [3.4K]

Answer:

$(f\circ g)(4)=31$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

$(f\circ g)(x)=f(g(x))$

For practical purposes, it can be found by substituting g into f.

We have:

$f(x)=3x+1$

$g(x)=x^2-6$

Computing the composite function:

$(f\circ g)(x)=f(g(x))=3(x^2-6)+1$

Operating:

$(f\circ g)(x)=3x^2-18+1$

Operating:

$(f\circ g)(x)=3x^2-17$

Now evaluate for x=4

$(f\circ g)(4)=3(4)^2-17=48-17$

$\boxed{(f\circ g)(4)=31}$

8 0

2 years ago