Answer:
steps below
Step-by-step explanation:
To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle
1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, <u>then the segment OP becomes the hypotenuse of the right triangle.</u>
2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.
Construction:
1. connect P and circle center "O"
2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP
3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"
4. PT and PT' are the tangent lines
Answer:
The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Step-by-step explanation:
The null and alternative hypothesis are:
The significance level is 0.05.
The sample size is n=22.
The sample mean is M=157.
The standard deviation is 18.
The z-score can be calculated as:
The test statistic (z-score) of this one-mean hypothesis test is z=1.823.
Draw per week = $1,300
Draw for four weeks = 1300 x 4 = $5,200
Four week sales amount = $186,900
6% commission on sales = 0.06 x 186,900 = $11,214
<span>Thus the amount equal to mike’s commission minus the
draw = 11,214 – 5,200 = $6,014</span>
Answer:
3.07, 3.072, 3.7, 3.72 (the last option)
Step-by-step explanation:
Answer:
The number of boys are 64.
Step-by-step explanation:
We have,
The ratio of the boy to girl is 8:9.
Total number of girls are 72.
Let total boys are 8x and total girls are 9x.
According to the question,
Since, number of boys are 8x. So,
So, the number of boys are 64.
