The National Household Travel Survey gathers data on the time of day when people begin a trip in their car or other vehicle. Choose a trip at random and record the time at which the trip started. What probability should replace the "?" in the table? Time of Day 10PM- 12:59AM 1AM- 5:50AM 6AM- 8:59AM 9AM- 12:59PM 1PM- 3:59PM 4PM- 6:59PM 7PM- 9:59PM
Probability 0.004 0.033 0.144 0.234 0.208 ? 0.123

a. 0.964
b. 0.379
c. 0.752
d. 0.218

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841