Which function has a range of {y|y ≤ 5}?

It took a cheetah 45 minutes to run from Jungle A to Jungle B. The average speed for the trip was 80 km/h. Find the distance bet

Inga [223]

Answer: 60 kilometers
If the average speed for the trip of 80 kilometers per hour, and the time of the trip was 45 minutes, then the distance between the two jungles is 60 kilometers.

45 minutes is three-quarters of an hour, or 0.75. I multiplied this decimal by 80 to get 60, the distance between Jungle A and Jungle B.

8 0

2 years ago

Read 2 more answers

The solutions to the linear differential equation d2u/dt2 = u form a vector space (since combinations of solutions are still sol

maw [93]

Serious high school. This is one of the few differential equations I can solve.

The usual particular solution is $u=e^t$ because $e^t$ is its own derivative.

An independent solution is $u=e^{-t}$ which has a negative sign in the first derivative which turns back to positive in the second.

The arbitrary linear combination spans the solution space:

$u= c_1 e^t + c_2 e^{-t}$

But we only are asked for the basis.

Answer: $\textrm{. } \quad e^t, \quad e^{-t}$

5 0

2 years ago

Given a grid with 15 sections, determine how many sections in the grid need to be shaded so the probability of a point chosen at

Nikitich [7]

Answer:

12

Step-by-step explanation:

0.8 is equal to 80%

you need to figure out 80% of 15

100% = 15

10% = 1.5

(x8)

80% = 12

you would need to shade 12 out of 15 boxes which gives 0.8 chance of picking a shaded one

8 0

2 years ago

Read 2 more answers

52. In exploring possible sites for a convenience store in a large neighborhood, the retail chain wants to know the proportion o

kvasek [131]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04$

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

Step-by-step explanation:

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. We know that we require a 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

We want a margin of error of $ME =\pm 0.1$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior info for the population proportion we can use as estimator the value of 0.5. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.1}{1.96})^2}=96.04$

Then the minimum sample size in order to satisfy the condition of 0.1 for the margin of error is 97 and since the sample used is n =100 we can conclude that is sufficient and the best answer would be:

D. Yes.

4 0

2 years ago

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte

statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

$g(x)=a(x-h)^2+k$ ... (1)