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sleet_krkn [62]
3 years ago
9

you spin the spinner, flip a coin, then spin the spinner again. find the probability of the compound event. Spinning a 4, flippi

ng heads then spinning a 7
Mathematics
2 answers:
Tanya [424]3 years ago
8 0
How many numbers are on the spinner? 
ExtremeBDS [4]3 years ago
5 0
Hello,
We know that the spinner has 9 numbers according to what you say.
P(spinning a 4):
1/9
P(flipping heads):
1/2
P(spinning a 7):
1/9
Also, to find the compound events of this by multiplying:
1/9×1/2×1/9=1/162. As a result, the probability of the compound event. Spinning a 4, flipping heads then spinning a 7 is 1/162. Hope it help!
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What is 15/1/20 as a improper fraction
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Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

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3 years ago
Taylor wants to paint his rectangular deck that is 44 feet long and 32 feet wide. A gallon of paint
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Answer:

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Answer:

1. I dont know what format they want you to write it in but its 27/100 which is 0.27 as a decimal and 27% as a percent

2.  it'll be 11/100 which is 0.11 as a decimal and 11% as a percent

Step-by-step explanation:

Since adding up all the people with cats, dogs or both is 73, and theres 100 people surveyed, that means  100-73=27 so 27 people dont have a cat or dog. Therefore its 27/100 which is 0.27 as a decimal and 27% as a percent

For number 2, because 11 people have both a dog and cat I believe itll be 11/100 which is 0.11 as a decimal and 11% as a percent

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