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3 years ago

I need help on dependent and independent events

1 answer:

7 0

In other words, the event has no effect on the probability of another event occurring. Independent events in probability are no different from independent events in real life. ... When two events are independent, one event does not influence the probability of another event.

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A couple took out a $5,000 loan from the bank. The loan had a simple interest rate of 7.5% per year. By the end of the loan, the

Sholpan [36]

Answer:

6 years

Step-by-step explanation:

t=2250/375

t=6

Hence time of the loan will be 6 years

8 0

2 years ago

Read 2 more answers

29. 83 – 2 · 4 = 30. 3 · 6 – 4 · 2 = 31. 3( 6 – 4) · 2 =

tester [92]

1) 21.83

2)173.8

3)12

Hope this helps :)

4 0

3 years ago

You have been asked to build a scale model of your school out of toothpicks. imagine your school is 30 feet tall. your scale is

sveticcg [70]

Since your scale is 1ft:1.26cm, a 30-ft tall school would need to have a $30*1.26=37.8$ cm model. Dividing this by how tall each toothpick is, you'll get:

$\frac{37.8}{6.3} =6$

ANSWER: The model would be 6 toothpicks tall.

To find out how many cotton swabs you'll need, we just divide 37.8 by how tall each swab is:

$\frac{37.8}{7.7} =5$

ANSWER: The model would be 5 cotton swabs tall.

4 0

3 years ago

Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 38 miles per day. The mileage per day

Montano1993 [528]

Answer: 0.1824

Step-by-step explanation:

Given : The mileage per day is distributed normally with

Mean : $\mu=110\text{ miles per day}$

Standard deviation : $\sigma=38\text{ miles per day}$

Let X be the random variable that represents the distance traveled by truck in one day .

Now, calculate the z-score :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 132 miles per day.

$z=\dfrac{132-110}{38}\approx0.58$

For x= 159 miles per day.

$z=\dfrac{159-110}{38}\approx1.29$

Now by using standard normal distribution table, the probability that a truck drives between 132 and 159 miles in a day will be :-

$P(132$

Hence, the probability that a truck drives between 132 and 159 miles in a day =0.1824

6 0

3 years ago

Given the function f(x)=3x+5a / x^2-a^2 find the value of a for which f'(12) = 0

maria [59]

The function, as presented here, is ambiguous in terms of what's being deivded by what. For the sake of example, I will assume that you meant

3x+5a
 f(x)= ------------
 x^2-a^2

You are saying that the derivative of this function is 0 when x=12. Let's differentiate f(x) with respect to x and then let x = 12:

(x^2-a^2)(3) -(3x+5a)(2x)
f '(x) = ------------------------------------- = 0 when x = 12
[x^2-a^2]^2

(144-a^2)(3) - (36+5a)(24)
------------------------------------ = 0
[ ]^2

Simplifying,

(144-a^2) - 8(36+5a) = 0

144 - a^2 - 288 - 40a = 0

This can be rewritten as a quadratic in standard form:

-a^2 - 40a - 144 = 0, or a^2 + 40a + 144 = 0.

Solve for a by completing the square:

a^2 + 40a + 20^2 - 20^2 + 144 = 0
(a+20)^2 = 400 - 144 = 156

Then a+20 = sqrt[6(26)] = sqrt[6(2)(13)] = 4(3)(13)= 2sqrt(39)

Finally, a = -20 plus or minus 2sqrt(39)

You must check both answers by subst. into the original equation. Only if the result(s) is(are) true is your solution (value of a) correct.

6 0

3 years ago