Find the missing angle

Answer:

18% that the athlete is disqualified but is actually clean

Step-by-step explanation:

In order to find the probability of two events happening together, in this case the athlete being disqualified and being clean, we need to multiply the probabilities. So,

It is a 90% chance that the athlete is clean and a 2% chance that the test fails so multiply the two

.9 * .2 = .18

This means that it is an 18% chance that the athlete is clean but is still disqualified.

Answer:

The average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008 is $0.08

Step-by-step explanation:

Given

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]3 \le t \le 13[/tex]

[tex]t \to[/tex] years since 2001

Required

Average rate of change between 2004 and 2008

In 2004,

[tex]t = 2004 - 2001[/tex]

[tex]t =3[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(3) = 0.72 * 1.081^3[/tex]

[tex]s(3) = 0.9095[/tex]

In 2008,

[tex]t = 2008 - 2001[/tex]

[tex]t = 7[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(7) = 0.72 * 1.081^7[/tex]

[tex]s(7) = 1.2420[/tex]

The average rate of change (m) is calculated as:

[tex]m = \frac{s(a) - s(b)}{a - b}[/tex]

In this case:

[tex](a,b) = (3,7)[/tex]

So, we have:

[tex]m = \frac{s(3) - s(7)}{3 - 7}[/tex]

[tex]m = \frac{s(3) - s(7)}{-4}[/tex]

Substitute values for s(3) and s(7)

[tex]m = \frac{0.9095 - 1.2420}{-4}[/tex]

[tex]m = \frac{-0.3325}{-4}[/tex]

[tex]m = 0.083125[/tex]

[tex]m = 0.08[/tex]  --- approximated

Answer:

Step-by-step explanation:

8

Answer:

x=11

Step-by-step explanation:

22*y=32

y=16/11

So,

x*16/11=16

x=11

Answer:A

Step-by-step explanation:

Answer:

Approximately 10.5, or 10.5095541.

Step-by-step explanation:

To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.

Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!

Answer:

r = 10.50

Step-by-step explanation:

Circumference =

[tex]2\pi \: r[/tex]

[tex] 66 = 2\pi \: r[/tex]

[tex] \frac{66}{2\pi} = r[/tex]

r = 10.5

Answer:

34

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

Answer:

(-6, -8) and (6, -8)

Step-by-step explanation:

Think of this as a right triangle

The hypotenuse is 10

The "y" leg is |-8| = 8

x² + 8² = 10²

x² + 64 = 100

x² = 36

x = ±6

two points

(-6, -8) and (6, -8)

Answer:

c) vertical stretch by a factor of 2

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

Horizontal stretch by a factor of 1/2.

We can also describe this as a horizontal compression by a factor 2

Answer:

x-intercepts = (-5,0) & (-2,0)

Step-by-step explanation:

5 & 2 = x-intercepts but you have to put them as negative

Answer:

Car C

Step-by-step explanation:

Miles per gallon = miles traveled / gallon of gas used

Miles per gallon :

Car A = 19 / 1 = 19 miles per gallon

Car B = 39 / 3 = 13 miles per gallon

Car C = 42 / 2 = 21 miles per gallon

Car D = 48 / 3 = 16 miles per gallon

Car with most miles per gallon is car C

9514 1404 393

Answer:

  (x, y) = (5, 2)

Step-by-step explanation:

Given:

  LP = x

  MP = 2y+3

  NP = y+3

  KP = 3x -8

  KP = MP, LP = NP

Find:

  x, y

Solution:

The given relations between the segment lengths let us write two equations:

  KP = MP

  3x -8 = 2y +3   ⇒   3x -2y -11 = 0   [eq1]

  LP = NP

  x = y +3   ⇒   x -y -3 = 0   [eq2]

__

Subtracting 3 times [eq2] from [eq1] gives ...

  (3x -2y -11) -3(x -y -3) = 0

  y -2 = 0 . . . . . . . . simplify

  y = 2 . . . . . . . . . . add 2

Substituting this value into [eq2] gives ...

  x = 2 + 3 = 5

The values of x and y are ...

  x = 5, y = 2

9514 1404 393

Answer:

  68 minutes

Step-by-step explanation:

At the same rate, she will run 8/10 of the distance in 8/10 of the time.

  (8/10)(85 minutes) = 68 minutes

It would take Amy 68 minutes to run 8 miles.

Answer:

C: 12x + 40

Step-by-step explanation:

We are told that the Cost to rent tables from Company A is;

f(x) = 4x + 25

Also, we are told that the Cost to rent tables from Company B is;

g(x) = 2(4x) + 15

Thus, total cost for Lorenzo to rent x number of tables and the chairs he needs is;

Total = f(x) + g(x)

Total = 4x + 25 + 2(4x) + 15

Total = 4x + 25 + 8x + 15

Total = 12x + 40

Answer:

the answer is c

Step-by-step explanation:

Answer:

The area of the smaller figure is 126 cm^2.

Step-by-step explanation:

3:7 ratio

Divide 294 by larger ratio.

294/7 = 42

Multiply 42 by the smaller ratio.

42 x 3 = 126

Answer:

I'm pretty sure your answer is [tex]3^1^1[/tex]

Step-by-step explanation:

Answer:

98547

Step-by-step explanation:

Answer:

The population in 11 years will be of 53,199.

Step-by-step explanation:

Equation for a population that doubles every n years.

The population of an specie, after t years, considering that is doubles after n years, is given by an equation in the following format:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

In which P(0) is the initial population.

The population doubles every 15 years, and the current population is 32,000

This means that [tex]n = 15, P(0) = 32000[/tex]. So

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

What will be the population in 11 years?

This is P(11). So

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

[tex]P(11) = 32000(2)^{\frac{11}{15}}[/tex]

[tex]P(11) = 53199[/tex]

The population in 11 years will be of 53,199.

Answer:

0.95 is your answer

Step-by-step explanation:

Answer:

$.98

Step-by-step explanation:

so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35

so solve that for x because that is the price of a single apple

so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is

(2.35/12) * 5 = 47/48 or about $.98

so five apples cost $.98

Answer:

Step-by-step explanation:

no of men                                no of days

15                                             20

25                                            let be x

it is in indirect proportion

15/25=x/20

do cross multiplication

25*x=20*15

25x=300

x=300/25

x=12

therefore ot will take 12 day to complete the same wall by 25 men.  

Answer:

149

Step-by-step explanation:

nth term = 4n - 3 ..............(1)

Now,

For The tern closer to 150

150 = 4n - 3

or, 153 = 4n

or, n = 38.25

Now,

Since n can not be in decimal,

Put n = 38 in (1)      (Rounding off 38.25 to 38)

or, nth term = 38*4 -3

                    = 152 - 3 = 149

∴ The number of sequence closer to 150 is 149

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]