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Anastasy [175]
2 years ago
5

A student studying for a vocabulary test knows the meanings of 16 words from a list of 26 words. If the test contains 10 words f

rom the study list, what is the probability that at least 8 of the words on the test are words that the student knows? (Round your answer to three decimal places.)
Mathematics
1 answer:
gayaneshka [121]2 years ago
4 0
To get the probability that at least 8 of the words on the test are words that students know we need to do the following calculations.

<span>=[C(16,8)*C(10,2) + C(16,9)*C(10,1) + C(16,10)*C(10,0)] / C(26,10)
</span>
=0.132 
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You toss a rock of mass m vertically upward. Air resistance can be neglected. The rock reaches a maximum height h above your han
laiz [17]

Answer:

v=\sqrt{\frac{3gh}{2}}

Step-by-step explanation:

If air resistance is neglected, the energy is constant. That means that in every point in the trajectory the energy is the same.

At the point of height h, all the energy is potential and velocity is zero (no kinetic energy)

E=mgh

At point of height h/4, some of the potential energy has transformed in kinetic energy and the velocity is no longer zero. But we know the total amount of energy is the same as the maximum height point.

With that information, we can calculate the velocity v:

E=mg(\frac{h}{4})+m\frac{v^2}{2}=mgh\\\\m\frac{v^2}{2}=mg(h-\frac{h}{4})\\\\\frac{v^2}{2}=\frac{3gh}{4}\\\\v^2=\frac{3gh}{2}\\\\v=\sqrt{\frac{3gh}{2}}

7 0
3 years ago
Read 2 more answers
0.23x + 1.47 = 0.37x – 1.05
Artyom0805 [142]

0.23x+1.47=0.37x-1.05

-1.47 -1.47

0.23x=0.37x-2.52

-0.37 -0.37

-0.14x=-2.52

/-0.14 /-0.14

x=18

Hope it helps!

4 0
2 years ago
the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = \dfrac{95}{2}          ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = \dfrac{63}{2}              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  \dfrac{63}{2} ) = \dfrac{95}{2}    

Or, l × b = \dfrac{95}{2} - \dfrac{63}{2}    

Or,  l × b = \dfrac{95 - 63}{2}

i.e l × b = \dfrac{32}{2}

so, l × b = 16

<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0
3 years ago
Help me please, i don’t get it loll
BabaBlast [244]

Answer:

subtract to find A

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
How to solve (-6y^-3z^-3)(-1/2y^-1z)
Oksana_A [137]

Answer:

        3

__________

  y ^4  z ^2

Step-by-step explanation:

5 0
2 years ago
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