Answer:
405
Step-by-step explanation:
To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.
The values that are given are p = 0.84 and E = 0.03.
You can solve for the critical value which is equal to the z-score of (1 - confidence level)/2. Use the calculator function of invNorm to find the z-score. The value will given with a negative sign, but you can ignore that.
(1 - 0.9) = 0.1/2 = 0.05
invNorm(0.05, 0, 1) = 1.645
You can also solve for q which is 1 - p. For this problem q = 1 - 0.84 = 0.16
Plug the values into the equation and solve for n.
Round up to the next number, giving you 405.
The answer is:
1- A line of symmetry will connect a vertex and a midpoint of an opposite side.
2- It has 
-fold symmetry.
The explanation for this answer is shown below:
1- By definition, a line of symmetry is an imaginary line that divides a figure into two equal images or equal halves. If you connect a vertex and a midpoint of an opposite side of an heptagon by drawing a line, you will obtain two equal halves.
2- An heptagon has seven vertices, therefore, based on the information mentioned above, it has -fold symmetry.
Answer:
Jones family paid a total of $139
Step-by-step explanation:
Smith's Mountain Lake Boat provides Rental services that can be expressed as follows;
Total cost=cost per hour×number of hours rented+one time cleaning deal
For Benael's family;
Benael family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Benael family total cost=$226.50
Cost per hour=$25
Number of hours rented=11 am-6:30 pm=7 hours 30 minutes=7.5 hours
One time cleaning deal=x
Replacing;
226.50=(25×7.5)+x
187.5+x=226.50
x=226.50-187.5
x=39
One time cleaning deal=$39
For Jones family;
Jones family total cost=Cost per hour×number of hours rented+one-time cleaning deal
where;
Cost per hour=$25
Number of hours rented=9 am-1 pm=4 hours
One time cleaning deal=$39
Replacing;
Jones family total cost=(25×4)+39
Jones family total cost=$139
Jones family paid a total of $139
Answer:
The correct option is;
Construct a circle from point R with the radius RP
Step-by-step explanation:
To draw a tangent, the following steps are required
1) A line is drawn connecting the point to the center of the circle to which the tangent is to be drawn
2) The perpendicular bisector of the line constructed to get the mid point of the line
3) From the midpoint of the line found in the step above the compass is adjusted to reach the center of the given circle and a circular arc is drawn across the circumference of the given circle
4) The point of intersection of the arcs and the circumference of the given circle are the tangent points
Therefore, the correct option is to construct a circle from point R with the radius RP.
