The solution of the inequality is x < -9
<h3>How to solve the inequality for x?</h3>
The inequality expression is given as:
-11 < -18- 7/9x
Add 18 to both sides of the inequality
18 - 11 <- 7/9x
Evaluate the difference
7 <- 7/9x
Multiply both sides by -9/7
-9 < x
Rewrite as:
x < -9
Hence, the solution of the inequality is x < -9
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Each one of the red, green, and gold necklace have a probability of 1/3.
Each one of the red and black bracelet have a probability of 1/2.
Each one of the silver, yellow, green, gold, black, and white hat have a probability of 1/6.
The probability of Suzy choosing a red bracelet and silver hat is solved by getting the probability of the red bracelet and silver hat which is computed by:
=1/2 * 1/6
= 1/12
The probability is 1/12.
There are no values of x that make the inequality true
No solution.
Answer:
The 99% confidence interval = (126.93,157.67)
Step-by-step explanation:
The formula for Confidence Interval =
Mean ± z × Standard deviation /√n
Mean = 142. 3 mmHg
Standard deviation = 20.8 mmHg.
n = 12
Z score for 99% confidence interval = 2.56
Confidence Interval =
142.3 ± 2.56 × 20.8/√12
142.3 ± 2.56 × 6.0044427996
142.3 ± 15.371373567
Confidence Interval
= 142.3 - 15.371373567
= 126.92862643
≈ 126.93
142.3 + 15.371373567
= 157.67137357
≈ 157.67
Therefore, the 99% confidence interval = (126.93,157.67)
Answer:
y =47.5.
Step-by-step explanation:
First eliminate the fractions by multiplying through by the LCM of 7 and 3 which is 21:
21* 6[y-2]/7-21*12 = 21*2[y-7]/3
18(y - 2) - 252 = 14(y - 7)
18y -36 - 252 = 14y - 98
18y - 14y = -98 + 36 + 252
4y = 190
y = 190/4
y = 47.5.
