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vivado [14]
2 years ago
10

The probability that a student at your school takes Drivers Education and Spanish is 87/1000. The probability that a student tak

es Spanish is 68/100. What is the probability that a student takes Drivers Ed given that the Student is taking Spanish?
Mathematics
2 answers:
Gnom [1K]2 years ago
5 0
Let
x---------> <span>The probability that a student takes Spanish 
y-------> </span><span>the probability that a student takes Drivers Education given that the Student is taking Spanish
z-------> </span><span>The probability that a student at school takes Drivers Education and Spanish 

we know that
z=x*y------> solve for y
y=z/x
z=87/1000
x=68/100
substitute
y=(87/1000)/(68/100)-----------> y=87/680

the answer is
87/680</span>
TEA [102]2 years ago
5 0

Answer: The probability is P = 0.128

Step-by-step explanation:

The data we have is:

The probability of a student to take drivers education and Spanish is 87/1000.

The probability that a student takes Spanish is 68/100.

Now, remember that if for event 1 we have the probability p1, and for event 2 we have the probability p2, the probability of both events happening is:

P = p1*p2

This is the case for the student that takes the two classes, but when we assume that the student takes Spanish, we can remove the probability of that event (because we are already looking at the 68/100 of the cases where the student selected Spanish)

So given that a student is tanking Spanish, the probability of him to take drivers ed is:

(Probability of both classes)/(probability of tanking Spanish)

P = (87/1000)*(100/68) = 0.128

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1 year ago
In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear
professor190 [17]

Answer:

r(t)=100,000t+600,000

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

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The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{2,000,000-1,000,000}{14-4}

m=\frac{1,000,000}{10}

m=100,000\frac{readers}{year}

step 2

Find the equation of the line in point slope form

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we have

m=100,000\\point\ (4,1,000,000)

substitute

r-1,000,000=100,000(t-4)

step 3

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r=mt+b

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6 0
1 year ago
Every day, the number of network blackouts has a distribution (probability mass function)
boyakko [2]
Expected Mean, E(X), is obtained by multiplying each pair of x and its P(x) and add up the answers

E(X) = (0×0.7) + (1×0.2) + (2×0.1) = 0.4

The formula to calculate the variance, Var(X), is given by E(X)² - (E(X))²

E(X²) = (0²×0.7) + (1²×0.2) + (2²×0.1) = 0+0.2+0.4 = 0.6
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Var(X) = 0.6 - 0.16 = 0.44

Translating these answers into the context we have

E(Y) = 0.4×500 = $200
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The recipe has 10 tomatoes, 6 cucumbers, and 3 peppers. What is the ratio of tomatoes to peppers?
Tema [17]

Answer:

10 : 3

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2 years ago
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Sophie could $330 in a savings account at a simple interest rate of 4% per year. Avi put $290 in a savings account at a simple i
worty [1.4K]
Sophie would’ve earned more
She would’ve earned $37 more

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Avi:
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Simply interest: $319-$290
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$29-$26
=$3
8 0
2 years ago
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