Find the domain and range of the exponential function h(x) = 125 x

A random sample of 60 suspension helmets used by motorcycle riders and automobile race-car drivers was subjected to an impact te

pentagon [3]

Answer:

The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).

Step-by-step explanation:

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 $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 60, \pi = \frac{17}{60} = 0.283$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.283 - 1.96\sqrt{\frac{0.283*0.717}{60}} = 0.169$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.283 + 1.96\sqrt{\frac{0.283*0.717}{60}} = 0.397$

The 95% confidence interval on the true proportion of helmets of this type that would show damage from this test is (0.169, 0.397).

6 0

3 years ago

Suppose a sequence begins with 1, 3 and continues by adding the previous two numbers to get the next number in the sequence. In

Sauron [17]

47 because start at 1 and 3 add the two together and then that is how you get the next number in this sequence . Which is 4+previous nunber which is 3= 7
7+4=11, 11+7=18 11+18=29 , and 18+29=47
Does this help you any

8 0

3 years ago

The value of almost everything you own (assets), such as a car, computer, or house, depreciates (goes down) over time. when an a

Hoochie [10]

The final value of the truck after depreciation and the number of years you own the truck are the two variables in this problem.

The dependent variable is the final value of truck after depreciation and the independent variable is the number of years you own the truck.

We are given that the initial value of truck is $12,400 and depreciation value per year is $820.

We know that,

Final Value = Initial Value - Depreciation value per year * Number of years

Let Final value be y

Let the number of years be x.

Hence, the equation will be:-

y = 12400 - 820*x

y = 12400-820x

We can clearly see from the equation that the final value of truck will depend on the number of years you own the truck.

To learn more about depreciation, here:-

brainly.com/question/14682335

#SPJ4

6 0

2 years ago

True or false? <br><br> The orthocenter is the point shared by the angle bisectors of a triangle.

Evgesh-ka [11]

The answer is true ........

8 0

3 years ago

A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.4 years, and standard deviation of

QveST [7]

Answer:

7.35 years

Step-by-step explanation:

Given that :

mean = 8.4

standard deviation = 0.6

From the negative z tables, the corresponding data for 0.04 = -1.75

So, using the z-score formula:

$z = \dfrac{x - \mu}{\sigma}$

$-1.75 = \dfrac{x - 8.4}{0.6}$

-1.75 × 0.6 = x - 8.4

- 1.05 = x - 8.4

x = -1.05 + 8.4

x = 7.35 years

the shortest lifespan will last less than 7.35 years

∴ the longest 4% will have lifespans longer than x = 8.4 + 1.75(0.6)

= 9.45 years

3 0

3 years ago