Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
Answer:
$11 sales tax per $200
Step-by-step explanation:
1375/25,000 = 11/200
Answer:
x<2 is your answer
Step-by-step explanation:
-2x+4>-4x+8
subtract each term by 8
-2x+4-8>-4x+8-8
add both side by 2x
-2x+2x-4>-4x+2x
-4>-2x
dividing both term by -2
-2x/-2<-4/-2
x<2
Answer:
240
Step-by-step explanation:
25% of 240 is 60
The 90% , 99% confidence interval for the population mean is 32.145 <
< 35.855 and 31.093 <
< 36.907
<h3>What is Probability ?</h3>
Probability is the study of likeliness of an event to happen.
It is given that
Total Population = 50
Mean = 35
The confidence interval is given by

is the mean
z is the confidence level value
s is the standard deviation
n is the population width
(a) The 90% confidence interval for the population mean
90%
= 0.05
Z = 1.64
34
1.64 * 8 / √50
34
1.855
32.145 <
< 35.855
(b) The 99% confidence interval for the population mean
99%
= 0.005
Z=2.57
34
2.57 * 8 / √50
34
2.907
31.093 <
< 36.907
Therefore the confidence interval for population mean has been determined.
The complete question is
A simple random sample of 50 items from a population width =7 resulted in a sample mean of 35. If required, round your answers to two decimal places.
a. Provide a 90% confidence interval for the population mean
b. Provide a 99% confidence interval for the population mean
To know more about Probability
brainly.com/question/11234923
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