1) In 2000, there were approximately 109 million cell phone users in the United States. The number of cell
phone users grew to approximately 189 million after one year.
a) Write an exponential model that represents the number of cell phone users in the United States, where t
represents the number of years after 2000.
[2]
[1]
b) What is the percent rate of change?
[1]
c) What would be the number of cell phone users in 2015?
[3]
2) Which statement applies to the graph of f(x)=e* below.

Answer:

2.5% chance of finding a defective headset

970

Step-by-step explanation:

3% of the headsets found defective.

If 280 units of that model are tested, and the manufacturer finds 273 headsets without any defects,  

easy to find percent 273/280=0.975

multiply by 100

97.5 then get 100-97.5=2.5

2.5% chance of finding a defective headset

ok 1,000 units of empirical probability

so the good ones

1,000/100=1

10= 1 percent

10*97=970

970

Empirical probability is the probability based on past experience

Part A

Part B

The reason for arriving at the above values is as follows:

Part A

The percentage of the daily headset produced the manufacturer found defective = 3%

The number of headset tested by the manufacturer = 280 units

The number of headsets found without defect = 273 headsets

Using the formula for percentage, calculate the percentage defect

The percentage chance of finding a defect = [tex]\mathbf{\dfrac{Number \ of \ dfect }{Number \ of \ Headset} \times 100}[/tex]

Where;

dfect = defect

The percentage chance of finding a defect = [tex]\dfrac{280 - 273}{280} \times 100 = \mathbf{2.5 \%}[/tex]

The percentage chance of finding a defect = 2.5%

Part B

The theoretical model of the number of defective headset produced = The stated (description) percentage of defective headset produced = 3% defective

The given number of units tested, n(T) = 1,000 units

Calculate expected number of defects and empirical probability using formula

The expected number of defects, n(D) ≈ 3% of 1,000 = (3/100) × 1,000 = 30

The expected number of defective headset found, n(D) ≈ 30

[tex]The \ 'expected' \ empirical \ probability = P(D) \approx \mathbf{\dfrac{n(D)}{n(T)}}[/tex]

Therefore;

[tex]\mathbf{'Expected' \ empirical \ probability} = P(D) \mathbf{\approx \dfrac{30}{1,000} }= 0.03[/tex]

The expected probability of finding a defect P(D) ≈ 0.03

Learn more about empirical probability here:

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Answer:

14

Step-by-step explanation:

Using any two ordered pairs, say (2, 17) and (4, 45),

Let,

[tex] (2, 17) = (x_1, y_1) [/tex]

[tex] (4, 45) = (x_2, y_2) [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{45 - 17}{4 - 2} [/tex]

[tex] = \frac{28}{2} [/tex]

Rate of change = 14

Answer:

Least Amount Likley: 7800

Favorable:8200

Step-by-step explanation:

Favorable 8000+2.5%

Least 8000-2.5% this is the range

Answer:

Least Amount Likely: 7800

Favorable: 8200

Step-by-step explanation:

Favorable: [tex]8000+2.5[/tex]% [tex]=8,200[/tex]

Least: [tex]8000-2.5%[/tex][tex]%[/tex]% [tex]=7,800[/tex] this is the range

hope this helps:)

Answer:

1 / 2

Step-by-step explanation:

Total # of marbles in the bag = 30

Total # of blue marbles in the bag = 15

Probability of pulling a blue marble = # of blue /  total # of marbles

Probability = 15 / 30

Simplify = 1 / 2

Answer:

Step-by-step explanation:

Remark

The best way to find the slope is to take the two points that are marked.

(5,3) and (0,-1)

Formula

m = (y2 - y1)/(x2 - x1)

Givens

y2 = 3

y1 = -1

x2 = 5

x1 = 0

Solution

m  = (3 - -1)/(5 - 0)

m = (3+1) / 5 = 4/5

the line parallel to the line in the graph  would be the new with a  slope equal to the given line.

The perpendicular to this line would have a slope of

m * m1 = -1

4/5 * m1 = - 1      Multiply by 5

4 * m = -5          Divide by 4

m = -5/4

A line perpendicular to the given line would have a slope of -5/4

Answer:

0

Step-by-step explanation:

y=mx+b

m=0

Using the slope:1/3 and y intercept:2

Answer:

1.5

Step-by-step explanation:

Please correct me if I'm wrong. :)

Answer:

Kathy's daughter is 8 years old

Step-by-step explanation:

What we know:

Kathy is 33 years old.

That is 7 years younger than 5 times her daughter's age.

With that, the equation 5x - 7 = 33 can be used to find x.

Step 1:

Move "- 7" to the right side of the equation, and find the opposite of it.

5x = 33 + 7

Step 2:

Add "33" and "+7" to get "40."

5x = 40

Step 3:

Divide both side by "5."

5x/5 = 40/5

x = 8

Thus, Kathy's daughter is 8 years old.

Answer:

8

Step-by-step explanation:

Answer: 1. Equation =3x = M , where x = money each received and M= total money received.

2.total money from bake sale=$96.57

Step-by-step explanation:

STEP 1

Let the total money receive from proceeds be = M

and let the amount of money each receive after the split  = x

Since   Jan and her two friends raised the money together, the total proceeds will be calculated using the equation

x+x+x= M

3 x = M ---- Equation

STEP 2--- Solving

if 3 x= M

and x =mount of money each receive after the split=$32.19

Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57

Answer:

The last one

Step-by-step explanation:

$96.57

Answer:

I believe the answer is -6,0

Answer:

where is the question????

==========================================

Work Shown:

q = (-4, 1) is one vector

r = (a,3) is another vector

The resultant vector is

q+r = (-4,1)+(a,3)

q+r = (-4+a,1+3)

q+r = (-4+a,4)

Multiply both sides by 7

7(q+r) = 7*(-4+a,4)

7(q+r) = (7*(-4+a),7*4)

7(q+r) = (-28+7a, 28)

---------------

Since 7(q+r) = (-35, 28), we know that,

(-28+7a, 28) =  (-35, 28)

which leads to

-28 + 7a = -35

when we equate the x components of each vector. Let's solve for 'a'

-28 + 7a = -35

7a = -35+28

7a = -7

a = -7/7

a = -1

--------------

Check:

q = (-4,1)

r = (a,3) = (-1,3)

q+r = (-4,1)+(-1,3)

q+r = (-4+(-1), 1+3)

q+r = (-5, 4)

7*(q+r) = 7*(-5, 4)

7*(q+r) = (7*(-5), 7*4)

7*(q+r) = (-35, 28)

The answer is confirmed.

Answer:

D. -1

Step-by-step explanation:

edge test

Step-by-step explanation:

This equation gives circumference (24900 miles). Knowing this the formula to start off finding radius is

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

we know c(circumference) and we know pi(3.1415926535...)

so move the numbers to isolate r(radius) to look something like this

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

input the known values then solve.

[tex]\frac{24900}{2\pi } =r[/tex]

[tex]\frac{12450}{\pi } =r[/tex]

[tex]3962.95808... =r[/tex]

(round this to whatever value you are looking for)

Hope This Helps :)

Answer:

She needs to order 6 pizzas.

Step-by-step explanation:

(My bad I thought it was one pizza that fed 4 people not two)

Answer:

6 pizzas

Step-by-step explanation:

2pizza=4 people

12/4=3

3*2=6

Answer:

The answer is D

Step-by-step explanation:

The line is going to the right side so that means that x must be greater than -53 and the dot is filled in so it is also equal to

Answer

The third table has a gradient of 20, so third table is one of them.

The other one is the last case, For an hour, Fahim earning  $1010 so that is the rate per hour.  

Step-by-step explanation:

Answer:

Is that you in your pfp?

Step-by-step explanation:

Answer:

A then D then C then F thats what I see

Step-by-step explanation:

Answer:

CGIA

Step-by-step explanation:

C is the first line, G is the second, I is the third, and A is the fourth.

I graphed it all. If I helped you, give me brainliest

Answer:

Rhombu is the answer

Answeris rhombus

Answer:

i think its -10

Step-by-step explanation:

hope im not wrong

Answer:

$1.89 for each Card.

Step-by-step explanation:

The answer is 1.89 because 9.45 divided by 5 is 1,89

Answer:

220

Step-by-step explanation:

The new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The circumference of a circular lawn is 110 feet.

2πr = 110

r = 55/π

Double the radius:

R = 2r= 110/π

New circumference = 2πR = 2π(110/π) = 220 feet

Thus, the new circumference of the circle will be 220 feet if the circumference of a circular lawn is 110 feet.

Learn more about circle here:

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Answer:

3.5

Step-by-step explanation:

If you like to round 3.457 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post.

Love, gocry

An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.

Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.

In the equation of a line 2x+y=1, slope is 2.

As we know the slopes of parallel lines are equal, that is m1=m2.

Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.

That is, y-2=2(x+2)

⇒ y-2=2x+4

⇒ y=2x+4+2

⇒ y=2x+6

Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.

To learn more about an equation of the line visit:

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Answer:

2 1/3

Step-by-step explanation:

8-1=7

9-6=3

7/3= 2 1/3

Answer: it's about 46.6% for the first card the second card depends on the first card if the first card is even the likelihood of the second being even is 40%, if the first card is odd then the likelihood of the second card being odd too be about 46,6%