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Olin [163]
2 years ago
8

Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a re

d light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for running a red light if it is know that they were speeding?
Mathematics
1 answer:
levacccp [35]2 years ago
3 0

Answer:

only speeding = 12-4 = 8%

Step-by-step explanation:

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i really really need help with all of these you don't have to show your work but please help me with at least some or all of the
svp [43]

Answer:

Step-by-step explanation:

1. Rectangle + Semi-Circle

A = a*b + \frac{\pi r^{2}}{2}\\a=6, b=4, r=\frac{a}{2} = 3\\A = 24 + 4.5 \pi = 38.14 in^{2}\\

2. Large Rectangle - Small Rectangle

A = 15 * 5 -  6*3 = 75 - 18 = 57 in^{2}\\

3. Rectangle - Trapezoid

A = a * b - \frac{c+d}{2}h = 20*17 - 6 * \frac{6+12}{2} = 340 - 54 = 286 cm^{2}\\

4. The composite figure is a rectangle if the triangle is moved to left and fills the missing part

A = a * b = 10 * 9 = 90 m^{2}\\

5. Square - Triangle

A = A = a^{2} - \frac{b^{2}}{2} = 8 * 8 - \frac{4 * 4}{2} = 64 - 8 = 56 cm^{2}\\

6. Circle - Square

A = \pi r^{2} - a^{2} = 64 \pi - 12 * 12 = 64 \pi - 144 = 57.06 m^{2}

7. Square - Triangle

A = a^{2} - \frac{b*h}{2} = 15 * 15 - \frac{10 * 8}{2} = 225 - 40 = 185 sq.ft.

8. Rectangle + Triangle

A = a *b + \frac{a*h}{2} = 9.5 * 9 + \frac{9.5*12}{2} = 85.5 + 57 = 142.5 in^{2}\\

9. Triangle + Rectangle

A = \frac{a*b}{2} + c * d = \frac{12*10}{2} + 12 * 6 = 60 + 72 = 132 sq.ft.

10. Rectangle + Quarter Circle

A = r * b + \frac{\pi r^{2}}{4} = 6 * 8 + \frac{36 \pi}{4} = 48 + 9 \pi = 76.27 in^{2}\\

11. Square + Rectangle

A = a^{2} + b * c = 7 * 7 + 9 * 14 = 49 + 126 = 175 m^{2}

12. Rectangle - 2 * Square

A = a * b - 2 * c^{2} = 25 * 18 - 2 * 8 * 8 = 450 - 128 = 322 sq.ft.

13. Trapezoid

A = \frac{a+b}{2} * h = \frac{10+15}{2} * 15 = 12.5 * 15 = 187.5 sq.ft.

14. Trapezoid - Rectangle

A = a * h  - c * d = 12 * 7 - 9 * 5 = 84 - 45 = 39 in^{2}

15. Rectangle - Triangle

A = a * b - \frac{a * b}{2} = \frac{a*b}{2} = \frac{10 * 20}{2} = 100 in^{2}

16. Square + Trapezoid

A = a^{2} + \frac{a + b}{2} * h = 25 + \frac{5 + 9.5}{2} * 6 = 25 + 43.5 = 68.5 in^{2}

8 0
3 years ago
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing P
tamaranim1 [39]

Answer:

(53.50 ; 56.75)

127

Step-by-step explanation:

Given the data:

41, 46, 47, 47, 48, 50, 50, 50, 50, 50, 50, 50, 52, 52, 53, 53, 53, 53, 53, 53, 54, 54, 55, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 57, 59, 59, 60, 61, 62, 62, 63, 64, 64, 65, 68, 68

Using calculator :

Standard deviation, s = 5.74

Mean, m = 55.125

Sample size, n = 48

95% confidence interval :

Zcritical at 95% = 1.96

Mean ± Zcritical* s/sqrt(n)

55.125 ± 1.96 * 5.74/sqrt(48)

Lower boundary :

55.125 - 1.96(0.8284976) = 53.50

Upper boundary :

55.125 + 1.96(0.8284976) = 56.75

(53.50 ; 56.75)

Sample size, n :

n = [(Zcritical * s) / Error margin]²

Error margin = 1

Zcritical at 95% = 1.96

s = 5.74

n = [(1.96 * 5.74) / 1]²

n = 11.2504²

n = 126.57

n = 127

8 0
3 years ago
104.65/ 35 <br> pls help and can u show me a example
Setler79 [48]

Answer:

2.99 or 3

Step-by-step explanation:

3 0
3 years ago
-6x+6y=6<br> -6x+3y=-12<br><br> Solving system of equations by elimination
maks197457 [2]
By subtracting the two equations

3y = 18

y = 6

-6x + 3(6) = -12

-6x = -30

x = 5
6 0
3 years ago
What is 119.63 rounded to the nearest whole number ?
Evgen [1.6K]

120


bc its grater than four in this case forty

4 0
4 years ago
Read 2 more answers
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