Find the lateral area of the cone

Miguel’s claim is correct Yes, the two events are independent because P(NF | PB) is equal to P(NF) which is 3/4.

The two events are said to be Independent events if the occurrence of events is not dependent.

We have the given data;

                    Paperback           Hardcover      Total

Fiction            20                        10                      30    

Nonfiction     60                        30                     90

Total              80                        40                     120

The two events will be independent if both are the same.

P(NF | PB) = 60/80 = 3/4

P(NF) = 90/120 = 3/4

Thus, the two events are independent

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Answer:

The answer will be A - Yes, the two events are independent because P(NF|PB) = P(NF).

Step-by-step explanation:

Hope this helped!

Answer:

ОА. 449

ОВ. 23°

Ос. 92°

OD. 46°

Step-by-step explanation:

The measure of the angle RST is 23 degrees, option C is correct.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that an arc is 46∘

We need to find the measure of the subtending angle inscribed in the circle.

The measure of the angle inscribed in a circle is one-half the measure of the arc it subtends.

The measure of the arc is twice the measure of the subtending inscribed angles.

measure of the angle RST= 1/2 measure of the arc

∠RST=1/2(46)

=23 degrees.

Hence, the measure of the angle RST is 23 degrees, option C is correct.

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Answer:

[tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex]

Step-by-step explanation:

First, llook at the denomintor. Do 5 and 10 have something in common? 5x2=10 and 10x1=10. The common denominator is 10. Then you mulitply the numerator with what you mulitpierd with the denominator. 9x1=9 and 10x1=10 =[tex]\frac{9}{10}[/tex]. 1x2=2 and 5x2=10 = [tex]\frac{2}{10}[/tex]. So, It is [tex]\frac{2}{10}[/tex] and [tex]\frac{9}{10}[/tex].

Answer:

the answer is 1470

Step-by-step explanation:

157+376+413+524

=1470

Answer:

It acually equals 8.2

Step-by-step explanation:

37.72÷4.6=8.2 8.2*4.6=37.72

Hope this helps!

well, we know the endpoints of its diameter, so hmmm its center will be the midpoint of those endpoints.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 1 -11}{2}~~~ ,~~~ \cfrac{ -3 -9}{2} \right)\implies \left( \cfrac{-10}{2}~~,~~\cfrac{-12}{2} \right)\implies \stackrel{center}{(-5~~,~~-6)}[/tex]

well, to get its radius, we can simply get the distance between both points and keeping in mind that the radius is half the diameter, we'll take half of that distance.

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-11}~,~\stackrel{y_1}{-9})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[1 - (-11)]^2 + [-3 - (-9)]^2}\implies d=\sqrt{(1+11)^2+(-3+9)^2} \\\\\\ d=\sqrt{12^2 + 6^2}\implies d=\sqrt{180}\implies d=6\sqrt{5}~\hfill \underset{half~that}{\stackrel{radius}{3\sqrt{5}}}[/tex]

Answer:

3rd angle = 74

Step-by-step explanation:

Remark

All triangles have 180 degrees.

In addition a right triangle has 1 angle that equals 90 degrees.

That means the other 2 must add to 90.

Givens

1 angle = 90

1 angle = 16

3rd angle = x

Solution

x + 16 + 90 = 180              Sum 3 angles to 180 degrees. Combine

x + 106 = 180                    Subtract 106 from both sides.

x = 180 - 106                     Combine

Answer: x = 74

[tex]0.5(2x+8) = x-4\\\\\implies \dfrac 12 (2x+8 ) = x-4\\\\\implies 2x+8 = 2x-8\\\\\implies 8=-8\\\\\text{Which is not true, so there are no solution.}[/tex]

The equation needed to calculate the compound interest is [tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]

The value of the account after ten years is $9347.62 .

If the account is left alone for 20 years, the amount of interest earned is $6942.76

The compound interest formula is represented as follows;

[tex]A = P(1 +\frac{r}{n} )^{nt}[/tex]

where

Therefore,

where

r = 3.7% = 3.7 / 100 = 0.037

n = 1

t = 10

P = $6500

Hence,

[tex]A = 6500(1+\frac{0.037}{1} )^{1(10)}[/tex]

[tex]A = 6500(1.037)^{10}[/tex]

[tex]A = 6500(1.43809495884)[/tex]

A = 9347.61723247

A = $9347.62

The value of the account after ten years is $9347.62

Interest = 9347.62  - 6500 = 2847.62 dollars

When it is 20 years.

r = 3.7% = 3.7 / 100 = 0.037

n = 1

t = 20

P = $6500

Hence,

[tex]A = 6500(1+\frac{0.037}{1} )^{1(20)}[/tex]

[tex]A = 6500(2.06811711064)[/tex]

A = 13442.7612192

A = $13442.76

Interest = 13442.76 - 6500 = 6942.76 dollars

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[tex] {15}^{2} + {x}^{2} = {39}^{2} [/tex]

x = 36

^● ●^

Answer:

36

Step-by-step explanation:

You can use Pythagorus to solve this. 39^2-15^2=1296. √1296 is 36

Answer: 13 weeks

Step-by-step explanation:

First you have to find 10% of 340.00 which is 28, so each week he saves 28.00 for his bike. To find how many paychecks he has to recieve you divide 340.00 by 28.00, which is 12.1, since there is a decimal place you have to round it up to 13 because it is a little bit more than 12 paychecks. ;)

Answer:

[tex]2\sqrt{2}[/tex]

Step-by-step explanation:

if the given figure is triangle, then the required length can be calculated:

[tex]\frac{4}{\sqrt{2} } =2\sqrt{2}.[/tex]

additional info: sin45°=1/√2.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is $24.

The insurance premium is paid as a cost to cover a possible loss that is unseen.

The annual premium rate as a percentage of the value insured a person at age 35 has to pay is 0.14%.

From the given information, we have that the amount a 35-year-old without health issues will pay per $1,000 is $1.40

The amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more

= 1.15 × $161

= $185.15

Therefore,

The amount more Bernard has to pay = $185.15 - $161

= $24.15 ≈ $24

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Answer: Option W

Step-by-step explanation:

           A function cannot have multiply y values for a single x value, so the only option that satisfies this rule is option W, the top left.

the answer to ur question is false

Answer:

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hope it helps...!!!

3 + 4 -9

-2

........ -2 is the answer

Answer:

Your answer is -2.

Explanation:

3 + 32 ÷ 8 - 9

= 3 +4 - 9

= 7 - 9

= -2

Answer:

f(3) = 18

Step-by-step explanation:

In f(x) = 2x²   ltet x = 3

    f(3) = 2(3)²

    f(3) = 2(9)

    f(3) = 18

Answer:

6

Step-by-step explanation:

Answer:

10

[tex]\frac{3*2}{5 * 2} = \frac{6}{10}[/tex]

[tex]\frac{1*1}{10*1} = \frac{1}{10}[/tex]

________________________________________________________

With that information, the correct answer is option C, 10

________________________________________________________

We learned how to find the least common denominator of fractions whose parameters are not the same.

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Assuming  ℎ1 = 11 feet and ℎ 2 = 3 feet, the storage of the facility is going to be 603 cubic feet, which is more than 576 cubic feet

The diameter of the building has been given as 8cm

radius = d/2 = 8/2 = 4

Maximum height = h1 + h2 = 14

Find the volume of the fertilizer that is containeed in both of the trucks

2(12x4x6) = 576 feet

From the height of 14 feets we have to assume

h1 = 11 ft,

h2 = 3 ft

[tex]volume =\frac{1}{3} \pi r^{2} h2 + \pi r^{2} h1[/tex]

= 0.333*3.14*4²*3 + 3.14*4²*11

= 602.8 ft ≈ 603

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Answer:

9 is most likely going to be 8 x 90 = 720 becauce there is a 90 degree angle. 10 is going to be 400.8. I belive that this is the right awnser to your equation.

We will find the speeds of both persons, the correct option is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

First, we know that Ramon rides 45 miles in 3 hours, then its speed is:

S = 45mi/3h = 15mi/h

And we know that Hector position is given by:

y = 18x

Where x is time in hours, so his velocity is 18mi/h.

Then we can see that:

So the correct statement is:

"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."

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