What is the ordered pair of your location if you start at (0, 0), move 2 units up, and then move 3 units right?

It takes a turtle 3 ¼ hours to walk 1 ½ miles. How many hours does it take to walk one mile?

Norma-Jean [14]

Answer:

It will take 6/13 hours to walk one mile

Step-by-step explanation:

Here, we want to calculate the number of hours it take to walk one mile

From the question, 1 1/2 miles take 3 1/4 hours

the number of hours it will take to walk 1 mile will be;

1 1/2 divided by 3 1/4

= 3/2 divided by 13/4

= 3/2 * 4/13 = 6/13 hours

4 0

2 years ago

Assume that 8% of people are left-handed. We select 6 people at random. a) How many lefties do you expect? b) With what sta

klemol [59]

Answer:

a) 0.48

b) 0.6645

c) 12.5

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left-handed, or they are not. The probabilities of each person being left-handed are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The number of trials expected to find r sucesses is given by

$N = \frac{r}{p}$

In this problem we have that:

Assume that 8% of people are left-handed. We select 6 people at random.

This means that $p = 0.08, n = 6$

a) How many lefties do you expect?

$E(X) = np = 6*0.08 = 0.48$

b) With what standard deviation?

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{6*0.08*0.92} = 0.6645$

c) If we keep picking people until we find a lefty, how long do you expect it will take?

Number of trials to find 1 success. So

$N = \frac{r}{p} = \frac{1}{0.08} = 12.5$

4 0

3 years ago

What is D and R? Please answer I need help.

Setler79 [48]

Answer:

31. D: {8, 4, 0, -4}; R: {2, -1}; yes

32. D: {-1, 2, 7}; R: {-4, -3, -2, 0}; no

33. D: {-4, -3, -1, 2, 3, 5}; R: {-3, -2, 0, 3, 5}; yes

34. D: (-∞, ∞); R: (-∞, 4]; yes

35. D: [0, 5]; R: [-2, 3]; no

Step-by-step explanation:

In this context, D means "domain" and R means "range." The domain of a function is the list of input values for which the function is defined. For ordered pairs, it is the first number of the pair. For an x-y table, it is the list of x-values. For a graph, it is the possible values of x.

A relation is a <em>function</em> only if there are no repeated values in the domain (2 or more outputs for the same input.)

The range of a function is the list of output values produced by the function. For ordered pairs, it is the second number of the pair. For an x-y table, it is the list of y-values. For a graph, it is the possible values of y.

__

31. D: {8, 4, 0, -4}

R: {2, -1}

Function: yes

Domain and range values don't need to be repeated. Often, they're listed in order from lowest to highest. Here, we have listed them in order of occurrence in the function definition.

__

32. D: {-1, 2, 7}

R: {-4, -3, -2, 0}

Function: no

__

33. D: {-4, -3, -1, 2, 3, 5}

R: {-3, -2, 0, 3, 5}

Function: yes

__

34. D: (-∞, ∞)

R: (-∞, 4]

Function: yes

__

35. D: [0, 5]

R: [-2, 3]

Function: no . . . . . . there are 2 y-values for most x-values

4 0

3 years ago

Solve for c: a(c−b)=d

Sindrei [870]

Answer:

a(c-b) = d

Use the distributive property, which states: x(y-z) = xy - xz

a(c-b) = ac - ab

ac - ab = d

Add ab on both sides

ac = d + ab

Divide both sides by a to isolate c

(If you would, please mark branliest, I'm one away from getting Expert

7 0

3 years ago

Read 2 more answers

Find the with of a triangle as a 15 cm high in a hypogynous of a 19 cm

Inessa05 [86]

Answer:

This other side of the triangle is equal to about 11.7 cm

Step-by-step explanation:

In order to find out the third side of the triangle we will just use the Pythagoras Theorem.

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

Since we know the hypotenuse and we know one of the legs, in order to find the second leg we just substitute the values and solve the equation and so we get...

$c^{2} =a^{2} + b^{2}\\19^{2} = 15^{2} + b^{2}\\361 = 225 + b^{2} \\$

$b^{2} = 361 - 225\\b^{2} = 136\\b = \sqrt{136} \\$

And so b ≈ 11.66190

8 0

2 years ago