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guapka [62]
4 years ago
13

The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they travel

ed another 1/4 of the total distance. What fraction of the total distance do they have left after the second day? What percent? ANSWER ASAP!
Mathematics
1 answer:
olga_2 [115]4 years ago
7 0

Answer:

\frac{11}{20}

On the first day, they traveled 30 percents of the total distance. On the second day they traveled one fourth of the total distance. One fourth converted into percentage is 25 percent. Then you add 30 plus 25 because that is the to a

total distance that Murphy's family traveled for 2 days. It will be 55 percents, and you convert 55 percents into fraction will be 55/100, and you simplify it, will be 11/20.

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The probability that a civil servant own a car is 1/6,if two civil servants are selected at random.find the probability that
Elodia [21]

Answer:

The data we have is:

the probability that a civil servant own a car is 1/6

Two civil servants are selected at random.

a) The probability that each own a car.

Ok, here we have two events:

Person 1 haves a car.

Person 2 haves a car.

The probability of each of those events is the same, 1/6.

P1 = 1/6

P2 = 1/6

Now, the probability of both events happening at the same time is equal to the product of the individual probabilities.

P = P1*P2 = (1/6)*(1/6) = 1/36.

b) Only one has a car.

Suppose that Person 1 has the car and Person 2 has not a car.

The probability for person 1 is 1/6.

And for person 2, is the negation of having a car:

So if we have prob of having a car = 1/6

Then the probability of not having a car is = 1 - 1/6 = 5/6.

Then we have:

P1 = 1/6

P2 = 5/6.

The joint probability is:

P = P1*P2 = (1/6)*(5/6) = 5/36.

But we also have the case where person 1 does not have a car, and person 2 does have one, then we have a permutation, and the actual probability is two times the obtained above.

P = 2*(5/36) = 10/36

4 0
3 years ago
What is the yintercept of the line given by the equation below?
LUCKY_DIMON [66]

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 6 ← is in slope- intercept form

with y- intercept c = - 6 ⇒ (0, - 6 )

8 0
3 years ago
Express ((-x^4)+4x+87)/(x+1) in the form q(x)+((r(x)/b(x))
ryzh [129]

Answer:

-x^3+x^2-x+5+\dfrac{82}{x+1}

Where q(x)=-x^3+x^2-x+5, r(x)=82, and b(x)=x+1

Step-by-step explanation:

See the attached image for the long division I did to get this answer!

4 0
3 years ago
18
xz_007 [3.2K]

Answer:

-29.4

ummmmmm i was told trust ig?

7 0
3 years ago
Given a consumption function of c = $25 + 0.75yd, the average propensity to consume equals 1 when disposable income equals
Sphinxa [80]

Answer: Disposable income = $100.

Explanation:

Since we have given that

C=\$25+0.75Y

And, average propensity to consume = 1

i.e. APC = 1

As we know the formula of APC ,

APC=\frac{C}{Y}=1\\\\\implies C=Y

So, our equation becomes,

Y=\$25+0.75Y\\\\Y-0.75Y=\$25\\\\0.25Y=\$25\\\\y=\frac{25}{0.25}\\\\Y=100

Hence, Disposable income = $100.

7 0
4 years ago
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