There are 3 girls on each team and 4 boys on each team.
Answer:
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Step-by-step explanation:
50% = 1/2
50% of 1/3: 1/2 x 1/3 = 1/6
75% of 1/2: 3/4 x 1/2 = 3/8
Given :
Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.
To Find :
How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.
Solution :
Ratio of people smiled by total number of people is :

Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :

Therefore, number of smiles Nathan expect to return is 468.
Answer:
Yes there is sufficient evidence.
Null hypothesis; H_o ; μ = 445
Alternative hypothesis; H_o ; μ ≠ 445
Step-by-step explanation:
The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.
Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.
Now, the question we have is a two tailed test. Thus;
The null hypothesis is;
bag filling machine works correctly at the 445 gram setting which is;
H_o ; μ = 445
The alternative hypothesis is;
bag filling machine works incorrectly at the 445 gram setting which is;
H_o ; μ ≠ 445
First set change the function f(x) to y so
that it would be

Then set y = 0

Then solve for x
X = - 3
To graph it, just plot the point (-3,0) on the x-axis