A political action committee wanted to estimate the proportion of county residents who support a change to the county leash law. They took a random sample of 600 county residents and found that the proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:_____

a. If we took another sample of 600 residents the sample proportion would definitely be between 29% and 37%.
b. If we take many other samples from this population 95% of them will have a sample proportion that is between 29% and 37%.
c. We can not conclude anything about the population parameter since this is only a sample.
d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.
e. There is a 95% chance that the true parameter is 33%.

Answer:

B

Step-by-step explanation:

We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:

[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]

The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:

[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]

Remember that the derivative of a constant is always 0. Therefore:

[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]

And by subtracting dy/dt from both sides, we acquire:

[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]

Hence, our answer is B.

Answer:

Let x and y be functions of time t such that the sum of x and y is constant.

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Let [tex]x_{ij}=1[/tex] when i is the element itself is allocated to 'j' [tex]i_0[/tex]

Min  

[tex]185X_{1A}+225X_{1B} +193X_{1C} +207X_{1D} +200X_{2A} +190X_{2B} +175X_{2C}+225X_{2D}+330X_{3A} +320X_{3B} +315X_{3C}+300X_{3D}+375X_{4A}+389X_{4B}+425X_{4C}+ 445X_{4D}[/tex]

Subject to:

[tex]X_{1A} +X_{1B}+X_{1C}+X_{1D}=1\\\\X_{2A} +X_{2B}+X_{2C}+X_{2D}=1\\\\X_{3A} +X_{3B}+X_{3C}+X_{3D}=1\\\\X_{4A} +X_{4B}+X_{4C}+X_{4D}=1\\\\X_{1A} +X_{2A}+X_{3A}+X_{4A}=1\\\\X_{1B} +X_{2B}+X_{3B}+X_{3B}=1\\\\X_{1C} +X_{2C}+X_{3C}+X_{4C}=1\\\\X_{1D} +X_{2D}+X_{3D}+X_{4D}=1[/tex]

Answer:

3/4 / 1/6

keep the first fraction the same

3/4

flip the second fraction

6/1

change the division to a multiplication it should then read

3/4 X 6/1

now multiply the fractions

3 X 6 = 18

4 X 1 = 4

18/4 this can then be turned into a mixed number.

there are four 4's in 18 with two left over. so it becomes

4 2/4 and simplified 4 1/2.

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

Answer: 160.96 and 99.03

Step-by-step explanation:

Number 1:

Number 2:

Step-by-step explanation:

If there are 20 yellow marbles,

there must be 32 - 20 = 12 red marbles.

P(Red marble)

= 12/32

= 0.375.

Answer:

The probability is 12/32

Step-by-step explanation:

If there are 12 red marbles and 20 yellow marbles, then there will be a 12/32 chance that you pick a red marble

This is because out of 32 marbles, you have 12 red marbles that you could pick, which gives you a 12/32 chance that you will pick a red marble. This can also be said as a 37.5% chance.

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}[/tex], where [tex]s[/tex] represents the number of people a sedan can seat and [tex]m[/tex] represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

[tex]2s+2m-(2s+1m)=20-14,\\\\m=6[/tex]

Now plug in [tex]m=6[/tex] in any of the equations to solve for [tex]s[/tex]:

[tex]2s+1(6)=14, \\2s=8, \\s=4[/tex]

Verify that the solution pair [tex](4, 6)[/tex] works:

[tex]2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark[/tex]

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

Answer:

0.4m²

Step-by-step explanation:

use the formular for tripezoid and only substitute a b and h

Answer:

its c or a

Step-by-step explanation:

Answer:

6 servings

Step-by-step explanation:

1,25x6=7.5

The number of servings can you make deep-fried chicken will be 6.

Inequality is defined as an equation that does not contain an equal sign.

You have 8 cups of milk.

You need 1.25 cups to make one serving of deep-fried chicken.

Let x be the number of the deep-fried chicken.

Then the inequality will be

1.25x ≤ 8

On solving, we have

x ≤ 6.4

Then the number of servings can you make deep-fried chicken will be 6.

More about the inequality link is given below.

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9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Dilation does not change angles or directions. Every image point X' lies on the line containing the center of dilation and the pre-image point X. If the scale factor is other than 1, no image segment will be congruent to its pre-image segment. So, the following are true:

Answer:

Im pretty sure its 96.

in other words, i think its A.

...brainly now?

how i did this:

Formula for Volume of Rectangular prism: V=lwh

The width is the bottom row

The length is the bottom row but on the side.

The hight is.... the hight. the number of blocks going up.

then if you times your W (width), your L (length), and your H (hight), then you will get your V (volume.)

W= 4

L= 6

H= 4

times it together and you get V=96

Answer:

[tex]\mathrm{A. \:96\:cubic\:cm}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 4x4x6.

Therefore the volume of this prism is:

[tex]4\cdot 4\cdot 6=\fbox{$\mathrm{A. \:96\:cubic\:cm}$}[/tex]

Answer: 1.25

Step-by-step explanation:

hope this helps !!

Answer:

VX = 37

Step-by-step explanation:

Since VX is the midsegment, based on the midsegment theorem we would have:

VX = ½(UY)

VX = s - 37

UY = s

Plug in the values

s - 37 = ½(s)

Multiply both sides by 2

2(s - 37) = s

2s - 74 = s

Collect like terms

2s - s = 74

s = 74

VX = s - 37

Plug in the value of s

VX = 74 - 37 = 37

Answer:

25 degrees

Step-by-step explanation:

angle CAD is a right angle, which is 90 degrees, and angle CAF is a straight line (180 degrees), which makes angle DAF a right angle. It is given that angle EAF is 65 degrees, therefore,

90 degrees - 65 degrees =  25 degrees

Step-by-step explanation:

Soln,

Here,

45°+65°+y(let)=180°[ being a triangle]

or,110°+y=180°

or,y=180°-110°

so,y=70°

Now,

x=?

so,

x+y=180°[being straight angle]

or,x+70°=180°

or,x=180°-70°

x=110°

THEREFORE,x=110°

solved!

Answer:

x = 110°

Step-by-step explanation:

Exterior angle property states that the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

x = 45° + 65° = 110°

Answer:33 square feet

Step-by-step explanation:

Split the shape into two rectangles

3x7

6x2

Solve:

3x7=21

6x2=12

Add

21+12=33

Answer:

the area is 32

Step-by-step explanation:

Answer:

C (yogurt sales had a decresing trend)

Step-by-step explanation:

so because if you look over other staistics they are not true and this one is

The yogurt sales has been decreasing in the last four months of 2011, the correct option is C.

Graph is a mathematical representation of relation between two objects.

The pie chart, line graph and the data table has to be studies to answer about the trend that is followed for the customer purchases of ice creams and yogurt.

The yogurt sales has been decreasing in the last four months of 2011.

To know more about Graph

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Answer:

Step-by-step explanation:

Total marbles:

Green and blue marbles:

Probability of getting green or blue:

Answer:

Hey

Step-by-step explanation:

Write the fraction in simplest form

[tex] - \frac{29}{18} [/tex]

[tex] \frac{8}{9} - \frac{5}{2} [/tex]

Find the difference between 8/9 and 5/-2

[tex] \frac{8}{9} - \frac{5}{2} [/tex]

[tex] \frac{8 \times 2}{9 \times 2} - \frac{5 \times 9}{2 \times 9} [/tex]

[tex] \frac{16}{18} - \frac{45}{18} [/tex]

[tex] \frac{16 - 45}{18} [/tex]

[tex] \frac{ - 29}{18} [/tex]

[tex] - \frac{29}{18} [/tex]

Answer:

i think its 63

Answer:

θ = 36.86°

Step-by-step explanation:

Given that,

The shadow of a 60 foot pole is a 100 feet long.

We need to find the angle of elevation from the end of the shadow to the top of the pole.

Height, h = 60 foot

Hypotenuse, H = 100 feet

Using trigonometry to find it.

[tex]\sin\theta=\dfrac{\text{Height}}{\text{Hypotenuse}}\\\\\sin\theta=\dfrac{60}{100}\\\\\theta=\sin^{-1}(\dfrac{60}{100})\\\\\theta=36.86^{\circ}[/tex]

So, the angle of elevation is 36.86 degrees.

Answer:

a

Step-by-step explanation:

if it’s wrong i’ll change it when i’m done with this quiz

Answer:

(C) m∠A′B′C′ = m∠ABC

Step-by-step explanation:

Regardless of what translation or transformation you do to this shape, the angles will always stay the same.

Answer:

Give the other guy who answer brainlyist he is poggers.

Step-by-step explanation:

Answer:40 square yards

Step-by-step explanation:

Given

Floor area A=10 square yards

Red tile costs [tex]\$ 60[/tex] per square yards

White tile costs [tex]\$40[/tex] per square yards

Total money spent=[tex]\$480[/tex] on tiles

Suppose red tiles cover an area of [tex]x[/tex] square yards

So, we can write

[tex]60\times x+40\times (10-x)=480\\60x+400-40x=480\\20x=80\\x=40\ \text{square yards}[/tex]

Red tiles cover an area of 40 square yards  

Answer:

16.65 cups

Step-by-step explanation:

Step one:

height =12 cm, and

the base has a radius =5.5 cm

Volume of the cup = πr^2h

substitute we have

volume= 3.142*5.5^2*12

volume= 3.142*30.25*12

volume=1140.546cm^3

Step two:

volume of cooler=  18,997 cm^3

hence the number of cups to fill it is

=18,997/1140.546

=16.65 cups

Answer:

A. (X-2)^2 = 4(y+5)

Step-by-step explanation:

Equation of parabola: (x-2)² = 4(y+5)

Thus option A is correct.

Given:

Focus at (2, -4) and a Directrix of y = -6

Here,

Let us suppose that there is a point (x, y) on the parabola.

Its distance from the focus point (2, 4) is √(x - 2)² + (y + 4)²

Its distance from directrix y = -6 is |y + 6|

Therefore, the equation will be:

√(x - 2)² + (y + 4)² = |y + 6|

Squaring on both the sides,

(x - 2)² + (y + 4)² = (y + 6)²

x² - 4x + 4 + y² + 8y + 16 = y² + 12y + 36

(x-2)² = 4(y+5)

Therefore option A is correct.

Know more about parabola,

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Answer:

The answer to the question provided is 37.5.