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3 years ago

Number 17 pls help me for 13 points !!

Mathematics

1 answer:

Alinara [238K]3 years ago

7 0

Answer:

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Step-by-step explanation:gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg

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the surface area of a cylinder is given by the formula SA = 2πr2 2πrh, where r is the radius of the base of the cylinder and h i

Arte-miy333 [17]

<span>A = 2πr2 + 2πrh is the final answer</span>

8 0

3 years ago

A bridge hand is made up of 13 cards from a deck of 52. find the probability that a hand chosen at random contains at least 3 ki

Vlad [161]

1.
In total there are C(52, 13) ways that we can pick a hand, that is $\frac{52!}{13!39!}$

2.
P(a hand contains at least 3 kings)
=P(a hand contains exactly 3 kings)+P(a hand contains 4 kings)

3.
first let's find P(a hand contains exactly 3 kings):

P(a hand contains exactly 3 kings)
=n(a hand contains exactly 3 kings)/C(52, 13)

n(a hand contains exactly 3 kings)=C(4, 3)*C(48, 10)

where C(4,3) is the total number of ways we can pick 3 out of 4 kings,

C(48, 10) is the number of picking 10 letters to complete a hand, out of the 52-4=48 non-king cards.

so P(a hand contains exactly 3 kings)=[C(4, 3)*C(48, 10)]/C(52, 13)

4. with the same reasoning as in step 3:

P(a hand contains 4 kings)=n(a hand contains 4 kings)/C(52, 13)

= [C(4, 4)*C(48, 9]/C(52, 13)

5.

P(a hand contains at least 3 kings)
=P(a hand contains exactly 3 kings)+P(a hand contains 4 kings)

=[C(4, 3)*C(48, 10)]/C(52, 13)+ [C(4, 4)*C(48, 9)]/C(52, 13)

= $\frac{C(4, 3)*C(48, 10)+C(4, 4)*C(48, 9)}{C(52, 13)}$

= $\frac{4* \frac{48!}{10!38!} + \frac{48!}{9!39!}}{ \frac{52!}{13!39!} }$

simplify by 38! in the denominators and 48! in the numerators :

$\frac{4* \frac{1}{10!} + \frac{1}{9!39}}{ \frac{52*51*50*49}{13!39} } 

$

now simplify by 9! in all denominators:

$\frac{ \frac{4}{10}+ \frac{1}{39} }{ \frac{52*51*50*49}{13*12*11*10*39}}$

$\frac{ 0.426 }{ 9.7} =0.044$

4 0

4 years ago

Solve and determine if the equation has 1 solution, no solutions or

frozen [14]

Answer:

one solution y= -2

Step-by-step explanation:

4 0

3 years ago

Are both students equations correct?

larisa86 [58]

Answer:

yes because it is the opposite side

7 0

2 years ago

Lee is traveling by train to visit his grandmother. After 1 hour, he has 270 miles left to travel. After 2 hours, he has 180 mil

Nat2105 [25]

Answer:

• 90 miles per hour.

• 360 miles

Explanation:

After 1 hour, he has 270 miles left to travel.

After 2 hours, he has 180 miles remaining.

To determine the speed of the train, we find the rate of change.

$\begin{gathered} \text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}} \\ =\frac{270-180}{1-2} \\ =\frac{90}{-1} \\ =-90\text{ miles per hour} \end{gathered}$

The speed of the train is 90 miles per hour.

If the train travels 90 miles per hour, and after 1 hour, he has 270 miles to travel:

The distance of the train is:

$\begin{gathered} =270+90 \\ =360\text{ miles} \end{gathered}$

6 0

1 year ago