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Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

Answer:

1,2,3,6,and 9

Step-by-step explanation:

18=1×18

=2×9

=3×6

=1,2,3,6and9

Steps to solve:

f(x) = 5x - 3

~Substitute

f(-2) = 5(-2) - 3

~Simplify

f(-2) = -10 - 3

~Subtract

f(-2) = -13 (Option A)

Best of Luck!

Answer:

Step-by-step explanation:

f(-2) = 5(-2) - 3 = -10 - 3 = -13

A is the answer

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

Answer:

f(5) = -10+30+19 = 39

Step-by-step explanation:

f(5) = (-5)2+6(5)+19

-10+30+19

=39

Answer:

x=2

Step-by-step explanation:

Answer:

1.125

Step-by-step explanation:

Multiply first

(9*12)/(12*8)

108/96

then divide

1.125

Answer:

72

Step-by-step explanation:

9 × 12 = 108

108 ÷ 12 × 8 = 72

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Step-by-step explanation:

Its additive inverse!

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545

Answer:

No solution.

Step-by-step explanation:

5 can't equal 3 my friend.

Answer:

D no solution.

Step-by-step explanation:

5 doesn't equal 3

Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are always congruent or equal

first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

the number of adult ticket's sold = 35

And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312

Answer:

N0, an even or odd outcome is equally likely for each roll regardless of what happened in the past

Step-by-step explanation:

Answer:

D. No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.

Answer:

78

Step-by-step explanation:

She is driving 78 miles per hour because if you take the miles she drove, and the amount of time she drove, and divide them, you get 78 :)

Answer:

Highest Elevation: 14240

Lowest Elevation: -285

Step-by-step explanation:

Given

[tex]Highest\ Elevation = 14,240\ ft[/tex] above sea level

[tex]Lowest\ Elevation = 285\ ft[/tex] below sea level

Required

Represent both altitudes as an integer

For the Mountain:

Take the sea level as 0 feet

[tex]Altitude = Highest\ Elevation - Sea\ Level[/tex]

[tex]Altitude = 14240 - 0[/tex]

[tex]Altitude = 14240[/tex]

Hence, the integer is 14240

For the Valley:

Take the sea level as 0 feet

[tex]Altitude = Sea\ Level - Lowest\ Elevation[/tex]

[tex]Altitude = 0 - 285[/tex]

[tex]Altitude = -285[/tex]

Hence, the integer is -285

Answer:

52% is the answer

52%

all decimals can convert to percentages easily. For example:

0.76 = 76%

0.4 = 40%

0.093 = 9.3%

just move the decimal point 2 places backwards.

Answer:

Commutative property of addition

Answer:

A.) Cuberoot of 2

B.) (m-3)^ 1/2

C.) Cuberoot of 2² or simple Cuberoot of 4

D.) m^1/2 - 3

E.) Squaroot of 2

Step-by-step explanation:

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

For more about the equation,

brainly.com/question/10413253

#SPJ6

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

Answer: Infinite

Odd numbers are of the form 2n+1, where n is an integer

Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.

Answer:

∠B = 156°

Step-by-step explanation:

A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

[tex]∠A = ∠B \\ 8x +78 = 2x +144[/tex]

Solving for x:

[tex]8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11[/tex]

Solving Angle B if x = 11.

[tex]∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166[/tex]