9514 1404 393
Answer:
C. 8√3/3
Step-by-step explanation:
It can be useful to remember that the ratio of sides in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is the short leg is 1/√3 times the length of the longer leg.
8(1/√3) = 8(√3/3) . . . . . matches choice C
ANSWER

EXPLANATION
If ABCD is a parallelogram, then
line AB is parallel to line DC .
This means that,

and

are alternating angles.
Alternate angles are congruent.
This implies that,

We group like terms to obtain,

This simplifies to,

Also, if ABCD is a parallelogram then,
BC is parallel to AD. This means that,

We group like terms to get,

This simplifies to,

We divide both side by 4 to get,
Answer:
C. 70.4
Step-by-step explanation:
22% × 320 =
(22 ÷ 100) × 320 =
(22 × 320) ÷ 100 =
7,040 ÷ 100 =
70.4
Answer:
Point estimate for the population variance = 3.92 *
.
Step-by-step explanation:
We are given that a sample of 5 strings of thread is randomly selected and the following thicknesses are measured in millimeters ;
X X -
1.13 1.13 - 1.188 = -0.058 3.364 * 
1.15 1.15 - 1.188 = -0.038 1.444 *
1.15 1.15 - 1.188 = -0.038 1.444 * 
1.24 1.24 - 1.188 = 0.052 2.704 * 
1.27 1.27 - 1.188 = 0.082 <u> 6.724 * </u>
<u> </u>
<u>= 0.01568 </u>
Firstly, Mean of above data,
=
=
= 1.188
Point estimate of Population Variance = Sample variance
=
=
= 3.92 *
.
Therefore, point estimate for the population variance = 3.92 *
.
Answer:
Step-by-step explanation:
Time taken to drive to work = 1 hr
Time taken to drive home = 1 hr
Time taken to drive from home to work and back home again ( IN ONE DAY)
=1 + 1 = 2hrs
So time taken for driving to and from work for 5 days = 2hrs × 5 days = 10 hrs .