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kari74 [83]
3 years ago
11

The percent of licensed U.S. drivers (from a recent year) that are female is 48.60. Of the females, 5.03% are age 19 and under;

81.36% are age 20-64; 13.61% are age 65 or over. Of the licensed U.S. male drivers, 5.04% are age 19 and under; 81.43% are age 20-64; 13.53% are age 65 or over. Complete the following.
(a) How many would you expect to be male?
(b) Using the table or tree diagram, construct a contingency table of gender versus age group.
(c) Using the contingency table, find the probability that out of the age 20–64 group, a randomly selected driver is female.
Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

a) 51.4

b) answer attached

c) 48.59% female

Step-by-step explanation:

a) Male driver = 100-48.6 = 51.4%

b) answer attached below

c) probability that out of 20-64 group a randomly selected sample is female

( 39.54 ÷ 81.36 ) x 100

= 48.59% chance of her being a female

Download docx
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Answer: 24

Step-by-step explanation:

Number of marbles in jar = 32

Let blue marbles be represented by b.

Since there are three times as many green marbles as blue. This means that green will be = 3 × b = 3b

We then add them together. This will be:

3b + b = 32

4b = 32

b = 32/4

b = 8

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Since green is 3× blue. Therefore,

Green = 8 × 3 = 24 marbles

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Part 1) we know that
m∠5=44°    m∠11=86°
m∠2=m∠5------> by vertical angles
m∠2=44°
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m∠13=86°
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m∠12=180-86-----> m∠12=94°
m∠14=m∠12----> by vertical angles
m∠14=94°
m∠1=m∠11----> by corresponding angles
m∠1=86°
m∠4=m∠1----> by vertical angles
m∠4=86°
m∠2+m∠1+m∠6=180
m∠6=180-(86+44)----> 50°
m∠6=50°
m∠3=m∠6----> by vertical angles
m∠3=50°
m∠8=m∠3----> by corresponding angles
m∠8=50°
m∠8+m∠7=180°-----> supplementary angles
m∠7=180-50----> 130°
m∠7=130°
m∠10=m∠6----> by corresponding angles
m∠10=50°
m∠10+m∠9=180°-----> supplementary angles
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m∠9=130°

the answers Part 1) are
m∠1=86°
m∠2=44°
m∠3=50°
m∠4=86°
m∠5=44° 
m∠6=50°
m∠7=130°
m∠8=50°
m∠9=130°
m∠10=50°
m∠11=86°
m∠12=94°
m∠13=86°
m∠14=94°

Part 2) 
a) what is m∠TPR?
in the right triangle PTR 
m∠PTR+m∠TPR+m∠TRP=180° ( the sum of internal angles of triangle is equal to 180 degrees)
m∠PTR=30°
m∠TRP=90°
so
m∠TPR=180-(90+30)----> 60°

the answer Part 2a) is 
m∠TPR=60°

b) what is the length in inches of segment PR?
in the right triangle PTR 
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the answer Part 2b) is
PR=7 in

c)  what is the length in inches of segment TR?
in the right triangle PTR 
cos 30=TR/PT-----> TR=PT*cos 30-----> TR=14*(√3/2)---> TR=7√3 in

the answer Part 2c) is
TR=7√3 in

d)  what is the length in inches of segment PQ?
in the right triangle PQR
PR=7 in
RQ=PR-----> by angle 45°
so
RQ=7 in
applying the Pythagoras Theorem
PQ²=RQ²+PR²-----> 7²+7²-----> PQ²=98-----> PQ=√98 in---> PQ=7√2 in

the answer Part 2d) is
PQ=7√2 in

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the answer Part 3 a) is
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<span>
Patrice melts the wax and creates a candle in the shape of a circular cylinder that has a diameter of 10 cm and a height of 15 cm.<span>(b)   </span>To the nearest centimeter, what is the volume of the candle?
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radius r=10/2----> 5 cm
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the answer Part 3b) is
the volume of the candle is 1178 cm³

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volume of a cube=b³
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the answer Part 3c) is
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