Answer:
Step-by-step explanation:
a)
Number of sample, n = 100
p = 0.78
q = 1 - p = 1 - 0.78
q = 0.22
For a confidence level of 90%, the corresponding z value is 1.645.
The formula for determining the error bound for the proportion is
z × √pq/n
= 1.645 ×√(0.78 × 0.22)/100
= 1.645 × 0.0414 = 0.068
The upper boundary of the population proportion is
0.78 + 0.068 = 0.85
The lower boundary of the population proportion is
0.78 - 0.068 = 0.71
b) For a confidence level of 95%, the corresponding z value is 1.96.
Therefore,
= 1.96 ×√(0.78 × 0.22)/100
= 1.96 × 0.0414 = 0.081
The upper boundary of the population proportion is
0.78 + 0.081 = 0.86
The lower boundary of the population proportion is
0.78 - 0.081 = 0.7
Answer:
Girls: 11
Boys: 18
Step-by-step explanation:
x: number of girls
x+x+7=29
2x=22
x=11
number of guys:
x+7=11+7=18
Answer:
<h2><u><em>
Letter A</em></u></h2>
Step-by-step explanation:
First of all, we have to solve all the equations
First one is (4*1)-6
<em>We have to use PEMDAS</em>
<em>which stands for </em>
<em>Parenthesis</em>
<em>Exponents</em>
<em>Multiplication</em>
<em>Divison</em>
<em>Addition</em>
<em>Subtraction</em>
In (4*1)-6
You have to do 4*1 first ~ which equals 4
the next step would be 4-6 ~ which equals -2
The next equation would be (1*4)-6
First do 1*4 ~ which is 4
Next 4-6 ~ which again equals -2
Next equation is (1*6)-(4-6)
Parenthesis first, 1*6=6
4-6=-2
6-(-2)
which equals 8
Our next equation is 6-(1*4)
1*4=4
6-4~ which equals 2
Our last equation is 4*(1-6)
Parenthesis comes first, so it would be 1-6 first
which equals -5
4*(-5) would be our final step ~ which equals -20
All of our answers would be
-2 - from the top equation
-2 - from letter A
8 - from letter B
2 - from letter C
-20 - from letter D
which means <u><em>Letter A</em></u> is the answer.
Hope this is helpful.
Answer:
Step-by-step explanation:
a. scalene : Reason: all angles and sides are different measurements.
f. acute
: all the three angles are acute (Less than 90)
