Please help and thank you

The price of an airline ticket from St. Louis to Washington D.C. costs $250. A bus ticket costs $100. Traveling by plane takes 2

Aleksandr-060686 [28]

Answer:

He would gain by choosing air travel if, and only if, he values his time at more than $5 per hour.

Step-by-step explanation:

The problem states that:

A bus ticket from Washington to St. Louis costs $100, while it takes 32 hours to arrive.

A plane ticket from Washington to St. Louis costs $250, while it takes 2 hours to arrive.

Other things constant, Andrew would gain by choosing air travel if, and only if, he values his time at more than

If Andrew choses to go by plane, he saves 32-2 = 30 hours at the expense of $250-$100 = $150.

So, dividing the extra cost by the number of hours saved:

$\frac{150}{30} = 5$

He would gain by choosing air travel if, and only if, he values his time at more than $5 per hour.

7 0

4 years ago

The measure of one of two complementary angles is 6 degrees less than one half the measure of the other. Find the measure of the

solmaris [256]

It's helpful to choose letters to represent the measures of these complementary angles. Let x represent one and y the other.

What does "complementary angle" mean? x + y = ??

Let x be the smaller angle. First, we take "half the measure of the larger angle," or (y/2). Then we subtract 6 degrees from this result (y/2). The result is the xmaller angle, x.

Now you have two equations in x and y. Solve for one of these angles, and then find the other. Please show your work.

7 0

4 years ago

A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is appro

Pavel [41]

Answer:

The answers to the questions are

(a) P = 0.0176

(b) P = 0.5

(c) P = 0.0571

Step-by-step explanation:

The P value is the calculated probability of obtaining extreme reults which are as extreme as observed res ult when the study null hypothesis H₀ is true

The p value is given by

P ( $\overline{\rm x}$ = 185 when μ = 175)

z = $\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

z( $\overline { \rm x}$ = 185) = $\frac{ 185 -175}{20/\sqrt{10} }$ = 1.5811

Therefore the P ( $\overline{\rm x}$ = 185 when μ = 175) = P(z = 1.5811)

0.94295

The probability density function is

$f(x) = \frac{1}{\sigma\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{x-\mu}{\sigma} )^2 }$ Therefore the probability is

$f(x) = \frac{1}{20\sqrt{2\pi } } e^{-\frac{1}{2}(\frac{185-175}{20} )^2 }$ = 0.0176

b) The type II error is given by

β = P(type II error) = P(Fail to reject the null hypothesis when it is false)

Therefore

β = P ( $\overline { \rm x}$ < 185 when μ = 185)

P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$ , which gives

P(z<0) and β = 0.5

(c) For true mean foam height of 195 mm we have

β = P ( $\overline { \rm x}$ < 185 when μ = 195)

and P $(\frac{ \overline { \rm x} -\mu}{\sigma /\sqrt{n} }$

Which gives P(z < -1.58)

From z table the probability is β = 0.0571

3 0

3 years ago

A ternary digit is either 0, 1, or 2. How many sequences of 6 ternary digits containing a single 1 and a single 2 are there?

hram777 [196]

Answer:

30sequences

Step-by-step explanation:

Using nx (n-1)

And

n is the number of ternary digits in the number.

So For 6 digits n is 6 so the number of numbers that have exactly one 1 AND exactly one 2 is 30.

That is 6(6-1)= 30

7 0

3 years ago

Equation with angles can someone please answer help please

Bas_tet [7]

Answer:

∠A = 166°

Step-by-step explanation:

We can imagine the parallel line to the left as a shifted version of the one on the right. As we move it further left along the line the in middle (called a transversal), ∠B will slide closer and closer to ∠A. Eventually, the two will totally coincide, showing that ∠B ≅ ∠A. We call ∠A and ∠B corresponding angles, because they can be made to perfectly overlap in that way.

Since corresponding angles are congruent, their measures must be equal, so in this example, we can say that

$\angle A =\angle B$ , and since $\angle A = 7x+40^{\circ}$ and $\angle B=3x+112^{\circ}$ ,