Answer:
[0.4235, 0.5365]
Step-by-step explanation:
Data given and notation
n=300 represent the random sample taken
X=300-98-58=144 represent the people that support the candidate A in the sample
estimated proportion of people that support the candidate A in the sample
represent the significance level
Confidence =0.95 or 95%
p= population proportion of people that support the candidate A.
Confidence interval
The confidence interval would be given by this formula
For the 95% confidence interval the value of
and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.4235;0.5365).

Answer:
<u>The sum of their ages now is 13</u>
Step-by-step explanation:
Dally's age = x
Dilly's age = x - 7
In 4 years time Dilly will be half Dally’s age, therefore:
Dilly's age plus four equals to half of Dally’s age plus four,
replacing with the values and variables we know:
x - 7 + 4 = (x + 4) /2
x - 3 = (x + 4) /2
2x - 6 = x + 4 (Multiplying by 2 at both sides)
2x - x = 4 + 6 (Like terms)
x = 10 ⇒ x - 7 = 3
<u>The sum of their ages now is 13 (10 + 3)</u>
The fraction of squares shaded to total squares is 70/100 or 7/10
With a percent, 70% of all of the squares are shaded
With a decimal, there are 0.7 shaded blocks for every total block, so it is 0.7
Hope this helps!
7a + 5a = 6a + 24
<span>6a = 24 </span>
<span>a = 4 </span>
<span>XZ = 6(4) + 24 </span>
<span>XZ = 48 </span>