Answer: B. 264
Step-by-step explanation:
Formula to calculate the sample size 'n' , if the prior estimate of the population proportion (p) is available:
, where z = Critical z-value corresponds to the given confidence interval
E= margin of error
Let p be the population proportion of clear days.
As per given , we have
Prior sample size : n= 150
Number of clear days in that sample = 117
Prior estimate of the population proportion of clear days = 
E= 0.05
The critical z-value corresponding to 95% confidence interval = z*= 1.95 (By z-table)
Then, the required sample size will be :
Simplify ,
Hence, the sample size necessary to construct this interval =264
Thus the correct option is B. 264
Using a linear function, we have that:
a) The fixed cost is of $10.
b) The equation is: C = 10 + 12d.
c) The cost of an 18 km trip is $226.
d) The distance traveled is of 20 km.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For this problem, the slope is of m = 12. When d = 5, C(d) = 70, hence we find the fixed cost as follows:
C(d) = 12d + b
70 = 60 + b
b = 10.
Hence the equation is:
C(d) = 12d + 10.
For a trip of 18 km, d = 18, hence the cost is:
C(12) = 12 x 18 + 10 = $226.
When the cost is of $250, the distance is found as follows:
250 = 12d + 10
12d = 240
d = 240/12
d = 20 km.
More can be learned about linear functions at brainly.com/question/24808124
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Answer: You should multiply first.
Step-by-step explanation:
Please- Parenthesis
Excuse- Exponent
My- Multiply
Dear-Divide
Aunt- Addition
Sally-Subtraction
Hopes this helps you should now know what order to use when solving linear expressions or any problem.
Answer: 2.11X=11.41
X=9.3
or
211x=1141
930
Step-by-step explanation:
Answer:
PQRS and TUVW are similar.
Step-by-step explanation:
We are give two polygons.
Sides of first polygon are :
PQ = 8 ft
QR= 13ft
RS = 8ft
PS = 13ft.
Sides of second polygon:
TW = 2.4 ft
TU = 5.2 ft
UV = 2.4 ft
VW = 5.2 ft.
We can see that PQRS and TUVW are parallelograms.
Note: <em>If an angle of a parallelogram is equal to an angle of another parallelogram then parallelograms would be similar.</em>
We can see that <Q ≅ <T = 120°.
<h3>Therefore, PQRS and TUVW are similar.</h3>