Answer: (-2, 8)
Explanation:
Plug x = -2 into the second equation. Isolate y.
5x+3y = 14
5(-2)+3y = 14
-10+3y = 14
3y = 14+10
3y = 24
y = 24/3
y = 8
We have x = -2 lead to y = 8.
Therefore, the ordered pair (x,y) = (-2,8) is the solution to this system.
Answer:
$1350
Step-by-step explanation:
Given she sold the car 10% less than what she bought it, amount she sold the car will be 10% of the amount she bought the car subtracted from the amount she bought he car .
She bought the car for $1500
Therefore,
10% of $1500
10% /100% x $1500
0.1 x $1500
$150
Now , amount she sold the car = $1500 - $150
= $1350
She sold the car for $1350
Answer:
m = -10
Step-by-step explanation:
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Step 1
Given;

Required; To find the difference in interest between the two periods.
Step 2
State the formula for simple interest

Step 3
Find the interest when the rate is 8%

Therefore the interest is given as;

Step 4
Find the interest in 1980 with a 20% rate

The interest is given as;

Step 5
Find the difference in interest between the two rates.

Hence, the difference in interest between the two rates = $11095.89
Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The coin is fair, hence p = 0.5.
- The coin is tossed 10 times, hence n = 10.
The probability that is lands tails up at least nine times is given by:

In which:



Hence:

0.0108 = 1.08% probability of the coin landing tails up at least nine times.
More can be learned about the binomial distribution at brainly.com/question/24863377
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