Answer:
2x-4+3x+2=48
5x-2=48
5x=48+2
5x=50
x=10
Step-by-step explanation:
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Answer: Reject the eight- ounces claim.
Step-by-step explanation:
For left tailed test , On a normal curve the rejection area lies on the left side of the critical value.
It means that if the observed z-value is less than the critical value then it will fall into the rejection region other wise not.
As per given ,
Objective : A coffee-dispensing machine is supposed to deliver eight ounces of liquid or less.
Then ,
, since alternative hypothesis is left-tailed thus the test is an left-tailed test.
the critical value for z for a one-tailed test with the tail in the left end is -1.645 and the obtained value is -1.87.
Clearly , -1.87 < -1.645
⇒ -1.87 falls under rejection region.
⇒ Decision : Reject null hypothesis.
i.e. we reject the eight- ounces claim.
8) C
9) A
10) B
11) C
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Answer:
32 dm
Step-by-step explanation:
Use the formula for the area of a triangle, and solve for the unknown.
A = 1/2bh
200 dm² = 1/2(12.5 dm)b
b = (200 dm²)/(6.25 dm) = 32 dm
The base of the triangle is 32 dm.