In Carter County, 19% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for ury duty while 4.5% of those living in the countryside are selected for Jury duty. A resident of the county is random y chosen. Let D be the event that the person is selected for ury duty. El be e event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below.
a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below
OD. P(D) = P(DE)'P(E)
b. The probability is
(Round to three decimal places as needed.) Click to select your answer(s).

Answer:

The radius is 3.66 if you need to round it would be 3.70.

Step-by-step explanation:

r= c/2[tex]\pi[/tex]

23/2pi= 3.66

The radius of the circle for the circumference of the circle is 23 inches is,

⇒ r = 3.66 inches

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The circumference of the circle is 23 inches.

Now, We know that;

The circumference of the circle = 2πr

Where, r is radius of the circle.

Hence, We get;

⇒ 2πr = 23

⇒ πr = 23/2

⇒ 3.14 × r = 11.5

⇒ r = 11.5 / 3.14

⇒ r = 3.66 inches

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Answer:

Divergent

Step-by-step explanation:

an = 3 sin(2/n)

Choose bn = 3 (2/n).

Using Limit Comparison Test:

lim(n→∞) an / bn

= lim(n→∞) [3 sin(2/n)] / [3 (2/n)]

= lim(n→∞) [sin(2/n)] / (2/n)

= 1

The limit is greater than 0, and bn diverges, so an also diverges.

Answer:

x= -3

Step-by-step explanation:

4x+1=3x-2

4x-3x=-2-1

x={-3}

Answer

2304 feet per day

Step-by-step explanation:

The object will move 2304 feet per day.

Speed is the distance an object moves in per unit of time.Speed is a scaler quantity because in speed the direction is not specified.

According to he given question an object is moving at a speed of 32 yards per hour.

We know 1 yard is = 3 feet.

∴ 32 yards is = 3×32 = 96 feet.

So, the object is moving at a speed of 96 feet per hour.

We also know that 24 hours is = 1 day.

The object moves 96 feet hour.

∴ The will move (96×24) feet per day.

= 2304 feet per day.

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Answer:

2,802 boys and 3,693 girls went to Disneyland this weekend

Step-by-step explanation:

System of Equations

Let's call:

b = Number of boys who went to Disneyland this weekend.

g = Number of girls who went to Disneyland this weekend.

The first condition states there was a total of 6,405 people who went to Disneyland this weekend, thus:

[tex]b+g=6,405\qquad\qquad [1][/tex]

The second condition states that the ratio of boys to girls is 7 to 9. This can be written as:

[tex]\displaystyle \frac{b}{g}=\frac{7}{9}\qquad\qquad [2][/tex]

To eliminate denominators, multiply [2] by 9g:

[tex]\displaystyle (9g)\frac{b}{g}=(9g)\frac{7}{9}[/tex]

Simplify:

[tex]9b=7g\qquad\qquad [3][/tex]

From [1]:

[tex]b=6,405-g[/tex]

Substituting into [3]

[tex]9(6,405-g)=7g[/tex]

Operating:

[tex]57,645-9g=7g[/tex]

Simplify:

[tex]16g=57,645[/tex]

Solve:

[tex]g=57,645 / 16 \approx 3,603[/tex]

Take the approximate value:

g=3,603

Find b:

[tex]b=6,405-3,603=2,802[/tex]

2,802 boys and 3,693 girls went to Disneyland this weekend

Note: Due to the nature of the problem, the results had to be rounded to the nearest integer. This condition makes the ratio not being exactly as required.

Answer:

idk

Step-by-step explanation:

Answer:

y = -5/3x -7

Step-by-step explanation:

If lines are parallel they have the same slope m = -5/3. Just need to figure out the new y-intercept going through the point (-9, 8).

y = mx + b

8 = -5/3(-9) + b

8 = 15 + b

b = -7

Now use m and b to form new equation of parallel line.

y = mx + b

y = -5/3x -7

Answer:

Step-by-step explanation:

Substitute a = -3 and b = -8 to the expression 10a²b⁰:

10(-3)²(-8)⁰ = 10(9)(1) = 90

a⁰ = 1 for any real number

Answer:

90

Step-by-step explanation:

10a^2b^0

Let a=–3, b=–8

10 (-3)^2 ( -8)^0

10 * 9 *1

90

The graph is missing, so i have attached it;

Answer:

Constant of proportionality = 0.75

Step-by-step explanation:

From the graph attached, we are given 3 coordinate points of (x, y) namely;

(120, 90), (250, 187.5), (400, 300)

Now, constant of proportionality for each coordinate point is simply;

k = y/x

Thus, for first coordinate point (120, 90),

k1 = 90/120

k1 = 0.75

For 2nd coordinate point (250, 187.5),

k2 = 187.5/250

k2 = 0.75

For third coordinate point (400, 300),

k3 = 300/400

k3 = 0.75

From each of the 3 points, we can see the constant of proportionality is the same and equal to 0.75.

Answer:

i think it is (0,-2). y=mx+b

(-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

A graph in two dimension is the set of points which relates two variables according to a give equation in two variables.

Given,

7x - y = 2

Therefore, the points which satisfy this equation lie on the graph of the equation.

In case of (-1,-9)

7(-1) - (-9) = 2

-7 + 9 = 2

Which is true.

Similarly for (0,-2)

7(0) - (-2) = 2

0 + 2 = 2

Which is true.

Hence, (-1,-9) and (0, -2) lie on the graph of 7x - y = 2.

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Answer:

12 girls =)

Step-by-step explanation:

Make a table labeled girls and boys like this

2|3

4|6

6|9

8|12

Multiply until you get to 8 boys

Answer:

Step-by-step explanation:

(p²)²+2²

(p²+2)²-2p²2

(p²+2)²-4p²

(p²+2)²-(2p)²

(p²+2-2p)(p²+2+2p)

Answer:

1 1/5 mile

Step-by-step explanation:

3/4 + 2/3 = 9/12 + 8/12 = 17/12 = 1 1/5

Answer:

tuff

guess you will fail

Step-by-step explanation:

Answer:

2 by 2

Step-by-step explanation:

or 4 by 4 I think I mean that would be mine

Answer:

The perfect squares are the squares of the whole numbers: 1 4 9 16 25 36 49, 64, 81, 100  Here are the square roots of all the perfect squares from 1 to 100. 1

Step-by-step explanation:

Answer:

1.24

Step-by-step explanation:

Answer:

P(x) = 17

Step-by-step explanation:

P(5) = -3 + 4(5)     <- Substitute X

P(5) = -3 + 20       <- Multiply

P(5) = 17                <- Combine Like Terms

Answer:

P(5)=-3+4(5)

P(5)=-3+20

P(5)=17

Answer:

0.375 or 3/8

Step-by-step explanation:

calculator :)

Answer:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Step-by-step explanation:

Henry ran 3.43 kilometers last week. He ran 6.25 kilometers this week. How many

kilometers did run in all?

Answer:

9.68 kilometers

Step-by-step explanation:

The value of 70 fluid ounces in liters would be, 2.065 liters

Used the concept of measurement unit that states that,

A measurement unit is a standard quality used to express a physical quantity. Also, it refers to the comparison between the unknown quantity with the known quantity.

To change 70 fluid ounces in liters.

Since we know that,

1 fluid ounce = 0.0295 liters

Hence, change the units of 70 fluid ounces in liters,

1 fluid ounce = 0.0295 liters

70 fluid ounce = 70 × 0.0295 liters

= 2.065 liters

So, we get;

70 fluid ounce = 2.065 liters

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Answer:

a. A​ relative-frequency distribution is to a variable as a​ ___probability_______ distribution is to a random variable. b. A​ relative-frequency histogram is to a variable as a​ _____probability_____ histogram is to a random variable.

Step-by-step explanation:

Probability is a type of mathematics which deals with numerical descriptions of how likely an event would occur, or how likely it is that a the occurrence would be true. The probability of an event is usually between 0 and 1,

where 0 represent impossibility and 1 represents the chance of it occurring.

a. A​ relative-frequency distribution is to a variable as a​ frequency distribution is to a random variable.

b. A​ relative-frequency histogram is to a variable as a​  frequency histogram is to a random variable.

The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided  by the total number of trials conducted.

A frequency distribution is an overview of all distinct values in some variable and the number of times they occur.

So, a. A​ relative-frequency distribution is to a variable as a​ frequency distribution is to a random variable.

b. A​ relative-frequency histogram is to a variable as a​  frequency histogram is to a random variable.

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(2x + 6) - (7x+3)

= 2x + 6 - 7x - 3

=2x - 7x + 6 - 3

= -5x + 3

Answer:

The answer is (-5x + 3).

Step-by-step explanation:

Answer:

15 square for six stage

Answer:

21

Step-by-step explanation:

stage 1:  1

stage 2: 3

stage 3: 6

the pattern is that the number of squares increases everytime by the stage number it is. for example stage 2 has 3 squares. to find stage 3 you start off with 3 squares (from stage 2), and add the stage number (stage 3). 3+3=6 so stage 3 has 6 squares.

stage 4: 10 (6+4)

stage 5: 15 (10+5)

stage 6: 21 (15+6)

Answer:

648

Step-by-step explanation:

Volume of a cylinder =Pi× r²×h

volume of the cylinder before melted

v=Pi×18²×40

v=40715.04cm³

Volume of the smaller cylinder

v=Pi×2²×5

v=62.83

40715.04÷62.83

=648.019

=648 small cylinder can be made

Answer:

C

Step-by-step explanation:

Answer:

alternate exterior angles

Step-by-step explanation: