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Olenka [21]
2 years ago
7

Let P(A)=47 and P(B|A)=38. What is the probability of events A and B occurring? Enter your answer in the box as a fraction in si

mplest form.
Mathematics
1 answer:
ella [17]2 years ago
7 0

The value of the probability is 3/14

<h3>How to solve the probability?</h3>

The given parameters are:

P(A) = 4/7

P(B | A) = 3/8

The probability of events A and B occurring is calculated using:

P(A and B) = P(B | A) * P(A)

So, we have:

P(A and B) = 3/8 * 4/7

Evaluate the product

P(A and B) = 3/14

Hence, the value of the probability is 3/14

Read more about probability at:

brainly.com/question/25870256

#SPJ1

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Answer:

Step-by-step explanation:

3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8

6 0
3 years ago
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Josiah invests $360 into an account that accrues 3% interest annually. Assuming no deposits or withdrawals are made, which equat
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Answer:

y = 360(1.03)x

Step-by-step explanation:

F = P x (1 + i)^n

F is the future worth, P is the present worth, I will be the interest rate, and n is the number of years. F = ($360)(1.03)^x

The principal amount of the money = $360

Annual rate of interest = 3%

Thus, the amount after x years which is increased by 3%.

Since, this amount represented by y,

The required equation that represents the amount of money in Josiah’s  account, y, after x years is, = 360(1+\frac{3}{100} )^x\\ = 360(1+0.03 )^x\\ = 360(1.03 )^x

This amount represented by y,

Therefore, the required equation that represents the amount of money in Josiah’s account, y, after x years is,

y = 360(1.03 )^x

Hope this helps you!

Have a nice evening! ;)

5 0
3 years ago
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1. The Cajun Heartland State Fair charges $1.25 per ticket for the rides. Johnny bought 25 tickets for the rides and spent a tot
vladimir1956 [14]

<u>Part (a)</u>

The variable y is the dependent variable and the variable x is the independent variable.

<u>Part (b)</u>

The cost of one ticket is $1.25. Therefore, the cost of 25 tickets will be: .

Now, we know that Johnny spent his money only on ride tickets and fair admission and that he spent a total of $43.75.

Therefore, the price of the fair admission is: $43.75-$31.25=$12.5

If we use y to represent the total cost and x to represent the number of ride tickets, the linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission can be  written as:

y=1.25x+12.5......Equation 1

<u>Part (c)</u>

The above equation is logical because, in general, the total cost of the rides will depend upon the number of ride tickets bought and that will be 1.25x. Now, even if one does not take any rides, that is when x=0, they still will have to pay for the fair admission, and thus their total cost, y=$12.5.

Likewise, any "additional" cost will depend upon the number of ride tickets bought as already suggested. Thus, the total cost will be the sum of the total ride ticket cost and the fixed fair admission cost. Thus, the above Equation 1 is the correct representative linear equation of the question given.

7 0
3 years ago
Does the table below represent a proportional<br> relationship? Show your work to prove
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Answer:

the table does represent a propor. rela. since y=12x

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Solve for n -3n-5=16
Nezavi [6.7K]

Answer:

n = -7

Step-by-step explanation:

Solve for n:

-3 n - 5 = 16

Hint: | Isolate terms with n to the left-hand side.

Add 5 to both sides:

(5 - 5) - 3 n = 5 + 16

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

-3 n = 16 + 5

Hint: | Evaluate 16 + 5.

16 + 5 = 21:

-3 n = 21

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of -3 n = 21 by -3:

(-3 n)/(-3) = 21/(-3)

Hint: | Any nonzero number divided by itself is one.

(-3)/(-3) = 1:

n = 21/(-3)

Hint: | Reduce 21/(-3) to lowest terms. Start by finding the GCD of 21 and -3.

The gcd of 21 and -3 is 3, so 21/(-3) = (3×7)/(3 (-1)) = 3/3×7/(-1) = 7/(-1):

n = 7/(-1)

Hint: | Simplify the sign of 7/(-1).

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