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Quan likes to exercise by running every day. On average, he runs 5 miles each day. This varies by about 0.3 mile. What are the maximum and minimum numbers of miles Quan is expected to run each day?

Answers

Answer 1

Answer:

Answer:

Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

Step-by-step explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−5|≤0.3

Rewrite as a compound inequality.

−0.3≤x−5≤0.3

Solve the inequality.

4.7≤x≤5.3

Answer the question. Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

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3x+7x−28+31−8x for x=2043Simplified expression-?Value-?

Which function represents the graph?

Answers

Answer:

option 3

Step-by-step explanation:

We know this is a cube-root parent function due to the shape of the curve. Option C moves the graphed function from the origin (0,0) to two units to the left and one unit upward.

What is the inverse of f(x)=(2x+1)2 for x≥−12?

Answers

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

What is the inverse function?

Let the function f is given as

y = m(x + a) + c

Then the inverse function of the function f will be given by the swapping of x with y and y with x.

The quadratic function is given below.

f(x) = (2x + 1)²

Then the inverse of the quadratic function will be

x = (2f⁻¹(x) + 1)²

2f⁻¹(x) + 1 = √x

2f⁻¹(x) = √x - 1

f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0

The inverse of the function will be f⁻¹(x) = [√(x) - 1] / 2 for x ≥ 0.

More about the inverse function is given below.

brainly.com/question/2541698

#SPJ2

Answer:

$f^-^1(x)=(x)/(4) - (1)/(2) , x\geq -46$

Step-by-step explanation:

Theres the inverse

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = (P(A \cap B))/(P(A))$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

$p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23$

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

$P(A \cap B) = 0.1*0.2 = 0.02$

$P(B|A) = (P(A \cap B))/(P(A)) = (0.02)/(0.23) = 0.087$

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

$P(A \cap B) = 0.3*0.5 = 0.15$

$P(B|A) = (P(A \cap B))/(P(A)) = (0.15)/(0.23) = 0.652$

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

$P(A \cap B) = 0.2*0.3 = 0.06$

Then

$P(B|A) = (P(A \cap B))/(P(A)) = (0.06)/(0.23) = 0.261$

0.261 = 26.1% probability that this person made a two-night visit.

Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)

Answers

Answer:

Step-by-step explanation:

(a+b)h / 2

(9+15)6 / 2

24 x 6 / 2

I hope im right!!

Hello can you please help me posted picture of question

Answers

The term of degree 1 in the given polynomial is +9x.

The coefficient is the constant term that is being multiplied to the variable. The variable in this case is x and the constant being multiplied to x is 9. So the coefficient of the term is 9.

Therefore, the answer to this question is option A

The answer is A. 9
The leading coefficient for the term of the degree 1 is the number with only one variable (x)

Determine the slope from the graphs

Answers

Answer:

This is solved

Step-by-step explanation:

Hope this helps

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