Answer:
The 98% confidence interval of the proportion = (0.312, 0.374)
Step-by-step explanation:
(Give answers accurate to 3 decimal places.)
The formula for Confidence Interval of Proportion is given as:
p ± z × √p(1 - p)/n
Where p = Proportion = x/n
x = 440
n = 1282
p = 440/1282 = 0.34321372854
Approximately = 0.343
z = z-score of 98 % confidence interval
= 2.326
Confidence Interval =
= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282
= 0.343 ± 2.326 × √0.225351/1282
= 0.343 ± 2.326 × √0.00017578081
= 0.343 ± 2.326 × 0.01325823555
= 0.343 ± 0.03083865589
0.343 - 0.03083865589
= 0.31216134411
Approximately = 0.312
0.343 + 0.03083865589
= 0.37383865589
Approximately to = 0.374
Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)
Answer:
Sale price= $25.5
Step-by-step explanation:
Giving the following information:
The original price was $29.99, but the ball was on sale for 15% off.
<u>To calculate the sales price, we need to use the following formula:</u>
<u></u>
Sale price= original price* (1 - sales discount)
Sale price= 29.99*(1 - 0.15)
Sale price= $25.5
Let x = length of side of the square. Then area of the square is
A(x) = x^2
You are also told that dx/dt = 6 cm/s
Now, you want to find dA/dt when A = 16, i.e., when x = 4.
Since
dx/dt = 6cm/s
and
dA/dx = 16cm/s
dA/dx dx/dt
= dA/dt
dA/dt A' = 2xx'
A' = 2x6cm/s
So we need to solve for x because we are trying to find dA
<span>so
</span>16 = x^(2)
(16)^(1/2) = 4
<span>thus
</span>
A' = 2(4)(6)
A' = 48
Answer:
-2/3x+y=7
Step-by-step explanation:
standard is AxBy=C
so move the 2/3 over to get 7 by itself.