What is a 90% confidence interval for the true proportion of adult drivers who have often or sometimes talk on a cell phone when driving

Answer:

Step-by-step explanation:

remember  PEMDAS

11-(4+6)=11-10=1

Answer:

There is no point of the form (-1, y) on the curve where the tangent is horizontal

Step-by-step explanation:

Notice that when x = - 1. then dy/dx becomes:

dy/dx= (y+2) / (2y+1)

therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:

0 = ( y + 2) / (2 y + 1)

And we obtain y = -2 as the answer.

But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:

(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2  (instead of zero)

Then, we conclude that there is no horizontal tangent to the curve for x = -1.

Answer:

87z

Step-by-step explanation:

Answer: $7,605

Step-by-step explanation:

At the end of 1 years, the amount in the account will be:

= Principal * (1 + rate)^ no. of periods

= 6,500 * (1 + 17%)

= $7,605

Answer:

[tex]P(t) = (2t + 50)^2[/tex]

Step-by-step explanation:

A certain population increases at a rate proportional to the square root of the population.

This means that the population can be described by the following differential equation:

[tex]\frac{dP}{dt} = r\sqrt{P}[/tex]

In which r is the growth rate.

Solving by separation of variables, we have that:

[tex]\frac{dP}{\sqrt{P}} = r dt[/tex]

Integrating both sides:

[tex]2\sqrt{P} = rt + K[/tex]

In which K is a random constant

[tex]\sqrt{P} = 0.5rt + K[/tex]

Finding the squares of both sides:

[tex]P(t) = (0.5rt + K)^2[/tex]

Finding the value of K

The initial population is of 2500. That is, when [tex]t = 0, P = 2500[/tex]. So

[tex]P(t) = (0.5rt + K)^2[/tex]

[tex]2500 = (0.5r(0) + K)^2[/tex]

[tex]K^2 = 2500[/tex]

[tex]K = \sqrt{2500}[/tex]

[tex]K = 50[/tex]

So

[tex]P(t) = (0.5rt + 50)^2[/tex]

Finding the value of r

Population of 3600 in 5 years(when t = 5). So

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]3600 = (0.5r(5) + 50)^2[/tex]

[tex](2.5r + 50)^2 = 3600[/tex]

Taking the square root of both sides

[tex]\sqrt{(2.5r + 50)^2} = \sqrt{3600}[/tex]

[tex]2.5r + 50 = 60[/tex]

[tex]2.5r = 10[/tex]

[tex]r = 4[/tex]

So, the equation for the population at the end of t years is given by:

[tex]P(t) = (0.5rt + 50)^2[/tex]

[tex]P(t) = (0.5(4)t + 50)^2[/tex]

[tex]P(t) = (2t + 50)^2[/tex]

Answer:

14.168

Step-by-step explanation:

4.4 times 2.3= 10.12

1.4(10.12) = 14.168

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

[tex] V = \frac{1}{3}h\pi r^{2} [/tex]

Where:    

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}] [/tex]

Since h = 4/3 r we have:

[tex] \frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}] [/tex]

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}] [/tex]        

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}] [/tex]    (1)    

With:

[tex]\frac{dr}{dt}[/tex] = 3 in/min

[tex]r = 3 ft*\frac{12 in}{1 ft} = 36 in[/tex]

And by entering the above values into equation (1) we have:

[tex] \frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min] [/tex]

[tex]\frac{dV}{dt} = 16286 in^{3}/min[/tex]

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!                                    

Answer:

1+33x=12

-1         -1

33x=11

33   33

x=0.3

:)

Answer:

10.34% probability that you both pick chocolate

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.

Combinations Formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

10 are filled with chocolate, and we want to pick 2. So

[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]

Total outcomes:

The box has 30 chocolates, and 2 are picked, so:

[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]

Probability:

[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]

10.34% probability that you both pick chocolate

Answer:

the lcm of 4 and 8 is 8 and the lcm of 9 and 3 is 9

Step-by-step explanation:

hope this helpes you out

Answer:

$29.78

Step-by-step explanation:

1. make the % into a decimal

9.25% = 0.0925

2. multiply amount by the decimal to get the tax amount

$27.26 × 0.095 = $2.52

3. take the original amount and add the tax to get your final total

$26.27 + $2.52 = $29.78

Answer:

A

Step-by-step explanation:

All triangles angles add up to 180°

Answer:

I would ask for being rich with my first wish and then ask to stop discrimination in the world and for number 3 i would ask being famous

Step-by-step explanation:

Answer:

Smallest number is 18. Largest number is 30.

Step-by-step explanation:

a:b:c = 4:5:3

∃x such that a = 4x, b = 5x, c = 3x

"sum of the numbers is 72"

a+b+c = 4x+5x+3x = 72

x = 6

a = 4x = 24

b = 5x = 30

c = 3x = 18

Answer:

40 girls

Step-by-step explanation:

To get the number of girl students, we first do 48 divided by 6 to get 8. Then we do 8 x 5 to get 40.  

Answer:

There is a loss of 2 yards.

Step-by-step explanation:

To find the overall gain or loss, we add or subtract there values.

Initially, we have 0 yards.

Records 14, so 0 + 14 = 14, that is, for now a gain of 14

Then loses 7, so 14 - 7 = 7, for now a gain of 7.

Then, 7 - 9 = - 2, so in all, there is a loss of 2 yards.

Answer:

x = 10 yd

Explanation:

These triangles are based on proportions. 12 yd is proportional to 18 yd, and x yd to 15 yd. We want to find x. We'll use the rule of three to calculate the unknown number.

12/18 = x/15

x = (12 · 15)/18

x = 10 yd (10 yards from the hut to the gold coins)

Answer:

I don’t know but I have the same question with different numbers

Step-by-step explanation:

Answer:

4.3 feets

Step-by-step explanation:

Given that:

Angle of elevation = 73°

Horizontal distance from foot of ladder to bottom of wall = x feets

Height of ladder = 14 feets

The horizontal distance, x :

Using trigonometry :

Tan θ = opposite / Adjacent

Tan θ = 14 / x

Tan 73 = 14 / x

3.2708526 * x = 14

x = 14 / 3.2708526

x = 4.2802295

x = 4.3 feets

Answer:

710

Step-by-step explanation:

Answer:

1/64

Step-by-step explanation:

Answer:

B edge 2022

Step-by-step explanation:

Answer:

a=66m b=4.58cm

Step-by-step explanation:

a=5610 divided by 85=66 so 66m ×85 m =5610 meters squared

b=330cm ÷ 72 cm is 4.58. So 72×4.58=329.76 so rounded =330

Answer:

M

Step-by-step explanation:

because it is equal on either side if you cut a line down the middle of the letter

Answer: C

Step-by-step explanation:

Answer:

Yes that is truth that you have wrote

Answer:

ya but am always with them so i dont worryStep-by-step explanation:

Answer: 3x=-24

9x is 3(3x)= 3(-24)

9x=-72

X=-8

Step-by-step explanation:

Answer:

You will have to pay 140 dollars.

Step-by-step explanation:

Go onto calculator soup and look up simple interest calculator. :)