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Lemur [1.5K]
3 years ago
10

Hamlet spins the spinner 13 times, and it stops at the letter R 9 times. If he spins the spinner a 14th time, what is the theore

tical probability that this time it will stop at the letter R? 1 / 14 1 / 13 1 / 9 1 / 8
Mathematics
2 answers:
Hatshy [7]3 years ago
8 0
Hello!

The theoretical probability means what is the expected chance it would happen

Th find this you do the amount of favorable outcomes over the total amount of outcomes

There are 8 outcomes and only 1 is R

This is a 1 / 8 probability

The answer is 1 / 8

Hope this helps!
wlad13 [49]3 years ago
7 0
I THINK 1 over 8 not sure tho
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Write an inequality to represent the graph. a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with s
lesantik [10]

Answer:

y> \frac{2x}{3} -7

Step-by-step explanation:

The equation of the straight line passing through the points (0,-7) and (3,-5) will be \frac{y-(-7)}{-7-(-5)} =\frac{x-0}{0-3}

⇒ \frac{y+7}{2} =\frac{x}{3}

⇒y=\frac{2x}{3} -7 ......... (1).

Now, the inequality shades the upper portion of the straight line.

Therefore, the y value for the inequality will be more than y value for the equation corresponding to a fixed value of x.

Hence, the inequality equation will be y> \frac{2x}{3} -7. (Answer)

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4 years ago
Hello Everyone! If you are having any difficulties in Math book D1 and D2, then do tell me in the channel discussion section. I'
Mademuasel [1]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A rectangular garden of area 456 square feet is to be surrounded on three sides by a brick wall costing $ 12 per foot and on one
solniwko [45]

Answer:

l=2\sqrt{114}feet    b=2\sqrt{114}feet      \left ( l,b \right )=(21.3541,21.3541)

Step-by-step explanation:

Given,

Area of garden=456 square feet

Brick wall  cost three sides =\$ 12 per foot

fencing cost of one side=\$ 7 per foot

Let length and breadth of rectangular field is          (l,b) feet

For minimizing the cost of material perimeter of garden should be minimum and area of garden is more.

Perimeter of garden=2\left ( l+b \right )=k

l+b=k/2

l=k/2-b

A=l\times b=456

A=\left ( k/2-b \right )b=456

Differentiating the equation to find maximum area

\frac{d}{db}(\left ( k/2-b \right )b)=\frac{\partial 456}{\partial b}

k/2-2b=0

k=4b

l=4b/2-b

l=b

To find maxima  again differentiating

\frac{\partial A^2 }{\partial b^2}=\frac{\partial \left ( k/2-2b \right )}{\partial b}

\frac{\partial A^2 }{\partial b^2}

The area is maximum when    l=b

and perimeter is minimum

l\times b=456

b^{2}=456

b=2\sqrt{114}feet

l=2\sqrt{114}feet

 Cost material

=2\sqrt{114}\times 3\times 12+2\sqrt{114}\times 7

=72\sqrt{114}+14\sqrt{114}

=\$ 86\sqrt{114}

=\$ 918.22873

Dimension of rectangular garden

\left ( l,b \right )=(21.3541,21.3541)

4 0
3 years ago
In a recent month, 88% of automobile drivers filled their vehicles with regular gasoline, 2% purchased midgrade gas, and 10% bou
Nimfa-mama [501]

Answer:

b) 0.2464

c) 0.0580

d) 0.2952

Step-by-step explanation:

Probability of those that purchased regular gas = 88% = 0.88

2% purchased mid grade gas

10% purchased premium gad

Given that a driver bought regular gas, 28% paid with credit card

Given that a driver bought mid grade gas, 34% paid with credit card

Given that a driver bought premium gas, 42% paid with credit card

Let R represent drivers that bought regular gas

Let M represent drivers that bought mid grade gas

Let P represent drivers that bought premium gas

Let C represent credit card payment

Let NC represent non-credit card payment

Pr(R) = 88% = 0.88

Pr(M) = 2% = 0.02

Pr(P) = 10% = 0.10

Pr(C|R) = 28%= 0.28

Pr(C|M) = 34%= 0.34

Pr(C|P) = 42%= 0.42

Pr(NC|R) = 1 - 0.28= 0.72

Pr(NC|M) = 1 - 0.34 = 0.66

Pr(NC|P) = 1 - 0.42 = 0.58

Using multiplication rule

Pr(AnB) = Pr(A) * Pr(B|A) = Pr(B) * Pr(A|B)

Using conditional probability,

P(B|A) = Pr(AnB) / Pr(A)

Pr(CnR) = Pr(R) * Pr(C|R)

= 0.88*0.28

= 0.2464

Pr(CnM) = Pr(M) * Pr(C|M)

= 0.02*0.34

= 0.0068

Pr(CnP) = Pr(P) * Pr(C|P)

= 0.10*0.42

= 0.0420

b) the probability that an automobile driver filled with regular gasoline AND paid with a credit card =

Pr(CnR)

= 0.2464

c) the probability that an automobile driver filled with premium gasoline AND did NOT pay with a credit card = Pr(P n NC) = Pr(NC|P) * Pr(P)

= 0.58 * 0.10

= 0.0580

d) The probability of those that paid with credit card is given as

Pr(CnR) + Pr(CnM) + Pr(CnP)

= 0.2464 + 0.0068 + 0.042

= 0.2952

7 0
3 years ago
What is the approximate value of the hypotenuse? 10 inches 10. 25 inches 20. 25 inches 81 inches.
S_A_V [24]

Answer:

bts

Step-by-step explanation:

I will sing a song for you so it will make easy bts - butter

smooth like butter creaminnin under cover hot like simmer you can solve it like butter how was it hope this work trust your self

8 0
2 years ago
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