(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.
We have given
-3x+4 > 9
Required values of x.
State the values of x within -3 and 3.
subtract 4 from both sides,
-3x+4-4>9-4
<h3>What is the meaning of like terms?</h3>
like terms are terms that have the same variables and powers. The coefficients do not need to match.
Collect Like Terms
-3x > 5
(-3x)(-1) < 5(-1)
3x < -5
Divide both sides by 3
3x/3 < -5/3
x < -5/3
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.
To learn more about the interval visit:
brainly.com/question/12221823
#SPJ1
The result of the square root of the equation A = 121 ft² is √A = 11 ft
<h3>What are square roots?</h3>
Square roots are numbers multiplied by itself to give another number
<h3>How to determine the square root?</h3>
The equation is given as:
A = 121 ft²
Take the square root of both sides
√A = √121 ft²
Evaluate the square root
√A = 11 ft
Hence, the square root of the equation A = 121 ft² is √A = 11 ft
Read more about square roots at:
brainly.com/question/98314
#SPJ1
Answer:
0.0143
Step-by-step explanation:
In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.
We proceed as follows;
The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155
Let’s call this probability p
The probability that he/she isn’t on the flight, let’s call this q
q =1 - p= 0.845
Sample size, n = 155
P(X < A) = P(Z < (A - mean)/standard deviation)
Mean = np
= 125 x 0.155
= 19.375
Standard deviation = √npq
= √ (125 x 0.155x 0.845)
= 4.0462
P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)
= P(Z < (10.5 - 19.375)/4.0462)
= P(Z < -2.19)
= 0.0143
Answer:
$1000
Step-by-step explanation:
We can form an equation for Clayton's account: C = 500 + 10x
We can form an equation for Clayton's account: J = 400 +12x
(where x is the number of days)
When the two accounts will contain the same amount, it means: C = J
<=> 500 + 10x = 400 +12x
<=> x =50
After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000