Answer:
Yes
Step-by-step explanation:
Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows
Null hypothesis
=p2-p1 ≤0
Alternative hypothesis
=p2-p1>0
Sample proportion of women, p1=74/200=0.37
Sample proportion of men is p2=104/200=0.52
Level of significance is 0.01
Pooled proportion=
Test statistic
p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0
Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise
Answer:
Noah needs 8 pounds of the coffee that costs $9.20 per pound and 12 pounds of the coffee that costs $5.50 per pounds
Step-by-step explanation:
Let the number of pounds of the coffee that sells for 9.20 be x while the number of pounds of the coffee that sells for 5.5 be y.
From the question, we know he wants to make 20 pounds of coffee
Thus;
x + y = 20 •••••••••••(i)
Let’s now work with the values
For the $9.20 per pound coffee, the cost out of the total will be 9.20 * x = $9.20x
For the $5.5 per pound coffee, the cost out of the total be 5.5 * y = $5.5y
The total cost is 20 pounds at $6.98 per pound: that would be 20 * 6.98 = $139.6
Thus by adding the two costs together we have a total of $139.6
So we have our second equation;
9.2x + 5.5y = 139.6 •••••••(ii)
From i, y = 20 - x
Let’s substitute this in ii
9.2x + 5.5(20-x) = 139.6
9.2x + 110 -5.5x = 139.6
9.2x -5.5x = 139.6-110
3.7x = 29.6
x = 29.6/3.7
x = 8 pounds
Recall;
y = 20 - x
y = 20-8
y = 12 pounds
The answer is x=-7 and x=-1
Answer:
Number of Volleyballs = 8 balls
Step-by-step explanation:
Given:
Total number of balls = 30 balls
Fraction of soccer ball = 2/5 balls
Fraction of basketball = 1/3 balls
Rest are Volleyballs
Find:
Number of Volleyballs
Computation:
Number of Volleyballs = Total number of balls - Total number soccer balls - Total number of basketballs
Number of Volleyballs = 30 - (30)(2/5) - (30)(1/3)
Number of Volleyballs = 30 - 12 - 10
Number of Volleyballs = 30 - 22
Number of Volleyballs = 8 balls
