To decide whether the point lies on the circle, what you need to do it simply substituting the x and y values into the equation and check if it add up to be 25

(-5)² + 0² = 25, = RHS [Yes]

1² + (√7)² = 8, ≠ RHS [No]

(√21)² + (-3)² = 30, ≠RHS [No]

0² + 7² = 49, ≠RHS [No]

5 0

2 years ago

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of

emmasim [6.3K]

Answer:

The null hypothesis is: $H_{0}: \mu = 100$

The alternative hypothesis is: $H_{a}: \mu > 100$

Step-by-step explanation:

At the null hypothesis, we test if the mean is equal to a certain value.

At the alternate hypothesis, we test if the mean is less than, more than, or different from the value tested at the null hypothesis.

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of 20 lb.

This means that the null hypothesis is: $H_{0}: \mu = 100$

Could it be that the average tuft strength is above 100 lb?

The world above means that the appropriate alternative hypothesis is: $H_{a}: \mu > 100$

3 0

2 years ago