Ask question

Ask question

All categories

4 years ago

5

The smallest video camera in the world is 0.99 mm in diameter. Is the diameter of the video camera less than or great than 0.1 m

m

1 answer:

UkoKoshka [18]4 years ago

6 0

Greater than, beacuase 0.99 is closer to one

You might be interested in

The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter

VMariaS [17]

Answer:

He must survey 123 adults.

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 z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

Assume that a recent survey suggests that about 87% of adults have heard of the brand.

This means that $\pi = 0.87$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?

This is n for which M = 0.05. So

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

$0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}$

$0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}$

$\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2$

$n = 122.4$

Rounding up:

He must survey 123 adults.

6 0

3 years ago

The courtyard behind jennies house is shaped like a trapaziod. The base mesures 8 meters and 15 meters.The height of the trapazo

77julia77 [94]

Formula for trapezoid area is A=b1+b2 x heightx 1/2 so your answer would be 161m squared

7 0

3 years ago

Put together, Albert and Jason have

Anon25 [30]

Answer:

Step-by-step explanation:

you have to subtract 110 by 42 then when you have that number you divide it by two. then you add 42 to one of the twin numbers. That will be how many jason has, and albert will have the other number you kept the same.

7 0

3 years ago

Based on its degree, what kind of polynomial is this?<br> h(x) = 4x4 + 2x-5

diamong [38]

Answer: The answer is quadratic.but the leading coefficient is 4

Step-by-step explanation:

5 0

3 years ago

Solve for y 6x-8y>=-24

Amiraneli [1.4K]

$6x-8y\geq-24\qquad\text{subtract 6x from both sides}\\\\-8y\geq-6x-24\qquad\text{change the signs}\\\\8y\geq6x+24\qquad\text{divide both sides by 8}\\\\y\geq\dfrac{6}{8}x+3\\\\\boxed{y\geq\dfrac{3}{4}x+3}$

3 0

3 years ago