Answer:
-60
Step-by-step explanation:
Og problem: x(2x + 2x - 8y + 16)
Substitution: 3(6 + 6 - 48 + 16)
Solve: 3(12 - 48 + 16)
3(-36 + 16)
3(-20) = -60
Answer:
The measurement of AB is 16.25 units.
Step-by-step explanation:
In right triangle ABC, ∠C is a right angle, m∠A = 52° , AC = 10.01, and AB = c.
We need to find the measurement of AB.
∠C is a right angle, it means AB is hypotenuse.
In a right angle triangle,






Hence, the measurement of AB is 16.25 units.
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
Answer:
36 degrees
Step-by-step explanation:
The whole shape is 90 degrees.
90 - 54 = 36
36 degrees
Answer:
There is evidence for the claim that less than 10% of the test results are wrong
Step-by-step explanation:
Given that the company Drug Test Success provides a "1-Panel-THC" test for marihuana usage.
Among 300 tested subjects, results from 27 subjects were wrong (either a false positive or a false negative.)
Sample proportion = 
H0: p = 0.10
Ha: p <0.10
(left tailed test)
p difference = 0.09-0.10 = -0.01
Std error = 
z statistic = -1.9245
p value = 0.027
Since p <0.05 we reject H0
There is evidence for the claim that less than 10% of the test results are wrong