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Softa [21]
3 years ago
6

The students at Kayla's school are forming teams of three students for a quiz bowl competition. Kayla is assuming that each memb

er of a team is equally likely to be male or female. She uses a coin toss (heads = female, tails = male) to simulate this probability. Here is Kayla's data from 50 trials of 3 coin tosses: thh tth tth tht thh htt hth hht hth tth tth hht hth tht tht tth tth thh thh htt tht thh tth hht hth thh tht tth hht thh hhh tth tth hth htt tht thh hhh htt thh htt ttt tht ttt thh hht hth htt hht hth According to this data, what is the experimental probability that a team will consist entirely of girls? 0.33 0.04 0.2 0.02
Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

There are 2 instances of hhh (all girls) in the 50 trials, so the experimental probability is 2/50 = 4/100 = 0.04.

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What roles did militias play in the American Revolution? Your answer:
Annette [7]

Hey there! I'm happy to help!

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I hope that this helps! Have a wonderful day! :D

8 0
3 years ago
A company is designing a new cylindrical water bottle. The volume of the bottle will be 179 cmcubed. The height of the water bot
tresset_1 [31]

Answer:

The radius of the water bottle is 2.72cm

Step-by-step explanation:

In this question, we are concerned with calculating what the radius of the cylindrical water bottle is given its volume and height.

Mathematically, the volume of a cylinder is V = pi * r^2 * h

From the question, we know that V = 179 cm^3. , h = 7.7cm while r = ?

we substitute these values into the volume equation.

179 = pi * r^2 * 7.7

179 = 3.14 * r^2 * 7.7

179 = 24.178 * r^2

r^2 = 179/24.178

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7 0
3 years ago
Find the value of the trigonometric ratio, cos L.
Alekssandra [29.7K]

Answer:

b/h

Step-by-step explanation:

remember SOH CAH TOA. Sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent. So in this case use CAH for cos L. Adjacent to L is b, and the hypotenuse is h. Therefore the answer is b/h.

5 0
3 years ago
Determine whether the given function is a solution to the given differential equation.
lesantik [10]

Given :

A function , x = 2cos t -3sin t               .....equation 1.

A differential equation , x'' + x = 0      .....equation 2.

To Find :

Whether the given function is a solution to the given differential equation.

Solution :

First derivative of x :

x'=\dfrac{d(2cos t - 3sin t)}{dt}\\\\x'=\dfrac{d(2cost)}{dt}-\dfrac{(3sint)}{dt}\\\\x'=-2sint-3cost

Now , second derivative :

x''=\dfrac{d(-2sint-3cost)}{dt}\\\\x''=-\dfrac{d(2sint)}{dt}-\dfrac{d(3cost)}{dt}\\\\x''=-2cost+3sint

( Note : derivative of sin t is cos t and cos t is -sin t )

Putting value of x'' and x in equation 2 , we get :

=(-2cos t + 3sin t ) + ( 2cos t -3sin t )

= 0

So , x'' and x satisfy equation 2.

Therefore , x function is a solution of given differential equation .

Hence , this is the required solution .

8 0
3 years ago
Determine whether each quadrilateral is a parallelogram rectangle rhombus and Dory Square list of all that apply.​
jeka94

Answer: see below

<u>Step-by-step explanation:</u>

(1)

  a)\quad EF = 3\sqrt2,\quad FG = 3\sqrt2,\quad GH = 3\sqrt2,\quad HE = 3\sqrt2

  b)   FH = 6, EG = 6

  c)   Square (which means it is also a rectangle and parallelogram)

(2)

  a)\quad m_{EF}=3,\quad m_{FG}=-\dfrac{1}{2},\quad m_{GH}=3,\quad m_{HE}=-\dfrac{1}{2}

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  c)   Parallelogram

3 0
3 years ago
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