Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )
Step-by-step explanation:
Given the data in the question;
n1 = 72, n2 = 17
P1 = 54 / 72 = 0.75
P2 = 10 / 17 = 0.5882
so
P_good = 0.75
P_bad = 0.5882
standard ERRROR will be;
SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]
SE = √( 0.002604 + 0.01424)
SE = 0.12978
given confidence interval = 90%
significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645 { from standard normal table}
so
93% CI is;
(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad< (0.75 - 0.5882) + 1.645×0.12978
⇒0.1618 - 0.2134 <P_good - P_bad< 0.1618 + 0.2134
⇒ - 0.0516 <P_good - P_bad< 0.3752
Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )
Answer:
x =12.82
Step-by-step explanation:
1/2(x-6.5) = 3.16
Multiply each side by 2
1/2(x-6.5) *2 = 3.16 *2
(x-6.5) = 6.32
Add 6.5 to each side
(x-6.5+6.5) = 6.32+ 6.5
x =12.82
Answer: 21/35 girls 14/21 boys
Step-by-step explanation: To find the number of girls, multiply
3/5 × 35 = 21 girls
You can subtract 35-21 to find the number of boys, or multiply
2/5 × 35 = 14 boys
Realizing that 35/5 = 7, we can multiply
7/7 × 3/5 to get the <em>fractional equivalent of girls 21/35</em>
and 7/7 × 2/5 to get the <em>fractional equivalent of boys 14/35</em>
Answer:
x = 27
Step-by-step explanation:
Since AC and DE are parallel lines, then
∠ BAD = ∠ EDF= 2x ( corresponding angles )
The sum of the 3 angles in Δ BAD = 180°, thus
2x + 2x + 72 = 180, that is
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
Answer:
0.3056 or 30.56%
Step-by-step explanation:
The volume of the grapefruit with the peel is:
When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:
The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:
30.56% of volume of the grapefruit is the peel.
