On Monday, 408 students went on a trip to the 200 All 7

3. Juliet' rides her bike. During her ride, elevation

Sophie [7]

Answer:

c

Step-by-step explanation:

5 0

3 years ago

The following confidence interval for the population proportion for how many U.S. adults do not get enough fruits and vegetables

Zielflug [23.3K]

Answer:

The interval is constructed at 93% confidence.

Step-by-step explanation:

Confidence interval concepts:

A confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.

The margin of error is the difference between these two bounds, divided by 2.

Confidence interval of proportions concepts:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have that:

2050 people, so n = 2050.

Lower bound: 0.878

Upper bound: 0.903

$\pi = \frac{0.878 + 0.903}{2} = 0.8905$

$M = \frac{0.903 - 0.878}{2} = 0.0125$

Confidence level:

We have to find z.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.0125 = z\sqrt{\frac{0.8905*0.1095}{2050}}$

$0.0069z = 0.0125$

$z = \frac{0.0125}{0.0069}$

$z = 1.81$

$z = 1.81$ has a pvalue of 0.965.

That is:

$]1 - \frac{\alpha}{2} = 0.965$

$\frac{\alpha}{2} = 0.035$

$\alpha = 2*0.035$

$\alpha = 0.07$

Finally

$1 - \alpha = 1 - 0.07 = 0.93$

The interval is constructed at 93% confidence.

3 0

3 years ago

The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)

Musya8 [376]

First, let's use the given information to determine the function's amplitude, midline, and period.

Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.

Determining the amplitude, midline, and period

The midline intersection is at y=5 so this is the midline.

The maximum point is 1 unit above the midline, so the amplitude is 1.

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.

Determining the type of function to use

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function.

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

Since the midline intersection at x=0 is followed by a maximumpoint, we know that a > 0.

The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1.

The midline is y=5, so d=5.

The period is 4π so b = 2π / 4π = 1/2 simplified.

f(x)1 sin 1/3x+5 = Solution

5 0

4 years ago

F. 6= t - 8<br> What is the answer and how to solve it

Stells [14]

Answer:

t = 14

Step-by-step explanation:

In an equation, you must keep both sides balanced so if you added 8 from the right side you would have to do the same thing to the left side. Also you want isolate the variable on one side so that its easier to solve ( in this case the variable is t )

6 = t - 8

We should plus 8 to both sides to isolate t on the right side

14 = t therefore

t = 14

4 0

3 years ago

HELP PLSSS I BEG UUUU

asambeis [7]

Answer:

You are correct, it is the first one.

Step-by-step explanation:

Biotic factors include animals, plants, fungi, bacteria, and protists. Some examples of abiotic factors are water, soil, air, sunlight, temperature, and minerals.

3 0

3 years ago

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