Answer:
srry im at school
Step-by-step explanation:
Answer:
Gina should take the first option because she gets to walk less dogs and make $75
Step-by-step explanation:
lol
Answer:
Step-by-step explanation:
The formula for the volume of a cone is
the diameter is 6
radius = diameter/2
so radius is 3
and height is 12
plug it in and you would get 113.1
Answer:
99% Confidence interval is given as;
Lower Limit = 0.062
Upper Limit = 0.130
Step-by-step explanation:
Given the data in the question;
x = 48
n = 500
sample proportion p = x/n = 48/500 = 0.096
with 99% confidence
significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.01 / 2 = 0.005
Critical Z-value = = = 2.576
Now,
Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]
we substitute
SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]
SE = √[ (0.096 × 0.904) / 500 ]
SE = √[ 0.086784 / 500 ) ]
SE = 0.0131745
so
Margin of Error E = × SE
E = 2.576 × 0.0131745
E = 0.0339
Now 99% confidence interval will be
⇒ 0.096 ± 0.0339
⇒ (0.096 - 0.0339, 0.096 + 0.0339 )
⇒ ( 0.062, 0.130 )
Lower Limit = 0.062
Upper Limit = 0.130
Answer:
8 and 9.
Step-by-step explanation:
Let the two unknown numbers be a and b.
When added together, they equal 17. In other words:
a + b = 17.
The <em>difference</em> between five times the first number and three times the second number is 13. In other words:
5a - 3b = 13.
We have a system of equations. We can use substitution. From the first equation, we can derive a = 17 - b. Let's substitute this in:
5(17 - b) - 3b = 13
85 - 5b - 3b = 13
-8b = -72
b = 9
a = 17 - b.
a = 17 - 9 = 8.
Thus, the two numbers are 8 and 9.