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3 years ago

14

The height of a cone is 12 cm and the radius is 3 cm. To the nearest square centimeter, what is the area of the cross section th

at is perpendicular to the base and includes the vertex?
18 cm squared

28 cm squared

36 cm squared

72 cm squared

1 answer:

kipiarov [429]3 years ago

7 0

The answer is 28 cm squared!

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A television sports commentator wants to estimate the proportion of citizens who "follow professional football."

Angelina_Jolie [31]

Answer: a)2206 b) 2209

Step-by-step explanation:

Formula to find the sample size :

a) If prior population proportion (p) is known.

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

b) If prior population proportion (p) is unknown.

$n=0.25(\dfrac{z_{c}}{E})^2$

where, ${z_{c}$ is the z-value associated with confidence level and E would be the margin of error .

Solution : Let p be the proportion of citizens who "follow professional football."

a) Given : p=0.48

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=p(1-p)(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.48(1-0.48)(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2205.4656\approx2206$ [Rounded to the next whole number.]

∴ The sample size is <u>2206</u>.

b) Proportion of citizens who "follow professional football" is unknown.

Margin of error : E= 0.02

z-value for 94% confidence = $z_c=1.88$

Required sample size would be :

$n=0.25(\dfrac{z_{c}}{E})^2$

$\Rightarrow\ n=0.25(\dfrac{1.88}{0.02})^2$

Simply ,

$n=2209$

∴ The sample size is <u>2209</u>.

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Certain items are purchased jointly. If each person pays 8coins, the surplus is 3coins, and if each person gives 7coins, the def

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Answer:

7 people
53 coins

Step-by-step explanation:

The problem statement tells us ...

8x = y +3

7x = y -4

Subtracting the second equation from the first gives ...

x = 7

Then ...

y = 7x +4 = 7·7 +4 = 53

There are 7 people, and 53 coins are required for purchase.

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3 years ago

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Enter an equation in point-slope form for the line.<br> Slope is O and (6, 7) is on the line.

Crank

Answer:

$\displaystyle y = 7$

Step-by-step explanation:

Since the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>] is zero, that automatically makes our equation set equal to the y-coordinate of the ordered pair, which in this case is the y-intercept.

I am joyous to assist you anytime.

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3 years ago

Write the equation of the line that passes through the points (-2,0) and (1,2).

Ierofanga [76]

Answer:

y = 2/3x + 1 1/3

Step-by-step explanation:

Find the slope using rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 0) / (1 + 2)

2 / 3

= 2/3

Then, plug in the slope and a point into y = mx + b to solve for b:

y = mx + b

2 = 2/3(1) + b

2 = 2/3 + b

1 1/3 = b

Plug in the slope and y intercept into y = mx + b

y = 2/3x + 1 1/3 is the equation of the line

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A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's ar

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Width = W
Length = 3 times w = 3W

Area = length x width = 3W * W = 3W^2

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2 years ago