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Stolb23 [73]
3 years ago
9

Use this figure to find value of FOD

Mathematics
2 answers:
rodikova [14]3 years ago
5 0
Line CD is a straight line.
∠COD = 90°

Given that adjacent angles on a straight line add up to 180°,

∠BOD + ∠COD = 180°

∠BOD + 90 = 180

∠BOC = 90°

∠FOD = 90 - 15 - 12 = 63°

--------------------------------------------------------------------
Answer: ∠FOD = 63° (Answer C)
--------------------------------------------------------------------
 
stepladder [879]3 years ago
4 0
Hey there!

BOD is a 90 degrees angle. Make an equation for that angle. 15+12+x=90. Simplify this to 27+x=90. You need to isolate x, so subtract 27 on each side to get x=63. C is the answer.

I hope this helps!
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What should I buy? A study conducted by a research group in a recent year reported that of cell phone owners used their phones i
Llana [10]

Answer:

The probability that seven or more of them used their phones for guidance on purchasing decisions is 0.7886.

<em />

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>What should I buy? A study conducted by a research group in a recent year reported that 57% of cell phone owners used their phones inside a store for guidance on purchasing decisions. A sample of 14 cell phone owners is studied. Round the answers to at least four decimal places. What is the probability that seven or more of them used their phones for guidance on purchasing decisions? </em>

We can model this as a binomial random variable, with p=0.57 and n=14.

P(x=k)=\dbinom{n}{k} p^{k}q^{n-k}

a) We have to calculate the probability that seven or more of them used their phones for guidance on purchasing decisions:

P(x\geq7)=\sum_{k=7}^{14}P(x=k)\\\\\\

P(x=7)=\dbinom{14}{7} p^{7}q^{7}=3432*0.0195*0.0027=0.1824\\\\\\P(x=8) = \dbinom{14}{8} p^{8}q^{6}=3003*0.0111*0.0063=0.2115\\\\\\P(x=9) = \dbinom{14}{9} p^{9}q^{5}=2002*0.0064*0.0147=0.1869\\\\\\P(x=10) = \dbinom{14}{10} p^{10}q^{4}=1001*0.0036*0.0342=0.1239\\\\\\P(x=11) = \dbinom{14}{11} p^{11}q^{3}=364*0.0021*0.0795=0.0597\\\\\\P(x=12) = \dbinom{14}{12} p^{12}q^{2}=91*0.0012*0.1849=0.0198\\\\\\P(x=13) = \dbinom{14}{13} p^{13}q^{1}=14*0.0007*0.43=0.004\\\\\\

P(x=14) = \dbinom{14}{14} p^{14}q^{0}=1*0.0004*1=0.0004\\\\\\

P(x\geq7)=0.1824+0.2115+0.1869+0.1239+0.0597+0.0198+0.004+0.0004\\\\P(x\geq7)=0.7886

7 0
3 years ago
David received $50 dollars for working at his father’s store. He spent $20 dollars at the movies, and $10 dollars buying comic b
statuscvo [17]
Total amount of money received by David for working at his father's store = $50
Amount of money spent by David at the movies = $20
Amount of money spent by David buying comics books = $10
Amount of money spent by David buying candy = $5
Then
Total amount spent by David = (20 + 10 + 5) dollars
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Amount of money saved by David = (50 - 35 ) dollars
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So
The ratio of the amount of money David
spent to the amount of money David saved = 35:15
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So the ratio of the amount of money David spent to the amount of money David saved is 7:3
5 0
3 years ago
What’s 11 divide by 3 and 2/3
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Answer:

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Step-by-step explanation:

8 0
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18

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The LCM is 18.

9x2=18

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3 years ago
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Answer:

10 (X+1)

Step-by-step explanation:

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P= 2\times (2x+5+3x)

P= 2\times (5x+ 5)

Now, taking 5 as common

P= 2\times 5 (x + 1)

∴ Perimeter of rectangle= 10\times (x+1)

6 0
3 years ago
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