Write the rule for the myth term -4, 20, -100,

UURGENTTT PLLZ HELP WILL MARK AS BRANLIEST!!!

lapo4ka [179]

Answer:

Surface area of the wood to be painted = ( $r^{2}$ + r $\sqrt{h^{2} + r^{2} }$ ) $\pi$ - 16 $\pi$

Step-by-step explanation:

Surface area of a cone is given as the sum of the surface area and the area of its base.

i.e Surface area = $\pi$ $r^{2}$ + $\pi$ Lr

where: L is the length of its slant height and r is the radius.

Applying the Pythagoras theorem,

L = $\sqrt{h^{2} + r^{2} }$

Thus,

Surface area = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ )

The given cylindrical hole has a radius of 4 cm and depth 2 cm.

The area of one of its circular surfaces = $\pi$ $r^{2}$

= $\pi$ × $(4)^{2}$

= 16 $\pi$ $cm^{2}$

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.

Surface area of the wood to be painted = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ ) - 16 $\pi$

7 0

3 years ago

Write the equation of the line graphed below in slope-intercept form (y=mx+b)?

ioda

Y = -1/2x - 1

Tell me if you need explanation

7 0

2 years ago

A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimat

Vedmedyk [2.9K]

Using the z-distribution, we have that:

a) A sample of 601 is needed.

b) A sample of 93 is needed.

c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , 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 $\frac{1+\alpha}{2}$ .

The margin of error is:

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

95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

For this problem, we consider that we want it to be within 4%.

Item a:

The sample size is <u>n for which M = 0.04.</u>

There is no estimate, hence $\pi = 0.5$

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

$0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2$

$n = 600.25$

Rounding up:

A sample of 601 is needed.

Item b:

The estimate is $\pi = 0.96$ , hence:

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

$0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}$

$0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}$

$\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2$

$n = 92.2$

Rounding up:

A sample of 93 is needed.

Item c:

The closer the estimate is to $\pi = 0.5$ , the larger the sample size needed, hence, the correct option is A.

For more on the z-distribution, you can check brainly.com/question/25404151

8 0

2 years ago

What is the slope of line

mr_godi [17]

Answer:

4

Step-by-step explanation:

(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4

4 0

3 years ago

5+8=6+7 true or false

Romashka-Z-Leto [24]

Answer: True becuase 5+8 equals 13 and 6+7 also equal 13 so that means that they are equal to each other.

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers