Answer:
x< -8
Step-by-step explanation:
To solve the inequality, we must get x isolated.
-1/2x>4
We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.
-1/2x / -1/2 > 4/ -1/2
When dividing by fraction, you can also multiply by the reciprocal.
To find the reciprocal, flip the numerator and the denominator.
-1/2–> -2/1
-2/1 *-1/2x > 4* -2/1
x> 4* -2/1
When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.
x < 4* -2/1
x < 4*-2
x< -8
Answer:
H0: μc ≤ μs Ha :μc > μs
Step-by-step explanation:
The null and alternate hypotheses can be stated as
H0: μc ≤ μs Ha :μc > μs one tailed test
Where
μc = Mean of college students watching movies in a month
μs = Mean of school students watching movies in a month
For one tailed test of α =0.05 the value of Z= ± 1.645
The critical region will be Z > ± 1.645
It is of importance to note that by rejecting the null hypothesis and accepting the alternate hypothesis we are automatically rejecting all values of mean that are greater than 7.1
Answer:
Step-by-step explanation:
It is an obtuse triangle because one angle (5) takes up more than the sum of the other two (3+1=4).
The angles are:
5+3+1 = 9
Each angles is
5/9 * 180 = 100°
3/9 * 180 = 60°
1/9 * 180 = 20°
Total = 100+60+20 = 180 degrees.
Answer:
15% discount was offered with the family ticket option.
Step-by-step explanation:
So adult is 55 so 55 x 2=110
45 x 2=90
110+90=200 so 170 ( Family ticket )
170 divide by 200=0.85 x 100=85% 100% - 85%=15%
Answer:
probability is alway 1 or less than 1
therefore the probability is 0.125/1