According to the Insurance Institute for Highway Safety, the national rate for 16-year-old males was 210 accidents for every 1000 drivers (21%) during the year 2000. In a large city in the Midwest, a random sample of 150 16-year-old male drivers found that 25 of them had been in an accident during the year 2000. Does this city have a lower proportion of accidents by 16-year-old male drivers than the national proportion?

Answer:

angle is 1°

Step-by-step explanation:

[tex] \cos(u \: v \: ) = \frac{u \times v}{ |u| \times |v| } [/tex]

Answer:

7 2/5 cups

Step-by-step explanation:

4 x 9 = 36

36/5 = 7.2

Step-by-step explanation:

so fill in 88 where the x is so

y = 0.9 (88) - 1

y = 78.2

Answer:  

Lu needs to move the right 3 units and up 5 units.

Step-by-step explanation:

Answer:

x > -3

Step-by-step explanation:

-3x + 6 < 15

-3x < 15 - 6

-3x < 9

-x < 3

x > -3

A. x > -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

−3x + 6 − 6 < 15 − 6

−3x < 9

Step 2: Divide both sides by -3.

−3x/−3 < 9/−3

x > −3

Answer:

Step-by-step explanation:

We are given the triangle  ABC  and told to find ∠A, ∠B, and side b.  Also we are told that side c= 54 .  side a=64 and ∠C = 32°

we need law of sines    a / sin A =  b / sin B =  c / sin C

let's use law of sines to find the other angles

64 / sin A = 54 / sin(32)

I'm just going to swap the fractions on both sides , just to make it easier

sin A / 64 = sin(32) / 54

∠A = arcSin(64 * sin(32) / 54)

∠A = 38.9066°

∠B + ∠A + ∠C = 180

∠B = 180 - 32 - 38.9066

∠B  = 109.0934°

let's find side b now

sin B / b = sin(32) / 54

sin(109.0934°) / b = sin(32) / 54

54 * sin(109.0934°) /  sin(32) = b

96.2963 = b

Answer:

See answer below

Step-by-step explanation:

Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.

a)(fog)(x) = f(g(x))

f(g(x)) = f(2x^2-5)

f(g(x)) = 5(2x^2-5) - 3

f(g(x)) = 10x²-25-3

f(g(x)) = 10x² - 28

b) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 2(25x²-30x+9)-5

g(f(x)) = 50x²-60x+18-5

g(f(x)) = 50x²-60x+13

c)(fog)(2) = f(g(2))

f(g(x)) = f(2x^2-5)

f(g(2)) = 10(2)² - 28

f(g(2)) = 10(4)-28

f(g(2)) = 12

d) g(f(x)) = g(5x-3)

g(f(x)) = 2(5x-3)²-5

g(f(x)) = 50x²-60x+13

g(f(2)) = 50(2)²-60(2)+13

g(f(2)) = 200-120+12

g(f(2)) =80+12

g(f(2)) = 92

Answer:

7 × x = 315

x = 315 ÷ 7

x = 45

45 is the answer.

Answer:

45

Step-by-step explanation:

315 ÷ 7 = 45

Answer:

82 points

Step-by-step explanation:

Take 22 and add 20 back to it, and then multiply it by four which gives you 102. You then would subtract 20 and get 82.

Answer:

C 290 in^2

Step-by-step explanation:

Answer:

566

Step-by-step explanation:

We need to write the following number in standard form.

500 + 60 + 6

Here, the first no is 500, the second number is 60 and the other number is 6.

It can be done as follows :

500 + 60 = 560

And

560 + 6 = 566

So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.

Answer:

-50

Step-by-step explanation:

Answer:

126 degree

Step-by-step explanation:

use alternate angles and linear pair

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

Answer:

the mid point is 6,3

Step-by-step explanation:

the mid point is 6,3

Answer:

Step-by-step explanation:

y = 2x - 1

x = 6

y = 3*6 - 1

y = 18 - 1

y = 17

(6,17)

Answer:

35 % of 65 is 22.75 %

Step-by-step explanation:

35/100 = 0.35

0.35 x 65 = 22.75

therefore 35% of 65 is 22.75%

Answer:

Step-by-step explanation:3x + 2x =5x

you just know

Step-by-step explanation:

Find the scale factor of the two triangles

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

[tex]y = 8(2.4)^t[/tex]

Required

Find y when t = 9

Substitute [tex]t = 9[/tex]

So:

[tex]y = 8(2.4)^9[/tex]

[tex]y = 8 * 2.4^9[/tex]

[tex]y = 8 * 2641.81[/tex]

[tex]y = 21134.48[/tex]

[tex]y = 21134[/tex] --- approximated

Hence, there are 21134 bacteria

Answer:

A = x^2 - x + xy - y

P = 4x + 2y - 2

Step-by-step explanation:

[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]

I hope that is useful for you :)

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

Learn more about the function here:

brainly.com/question/5245372

Answer:

there still parallel even if they rotated