A taxi charges a $2 fee
Multiple choice please help

Answer:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Step-by-step explanation:

Information given:

[tex] n=131[/tex] represent the sample size

[tex] \hat p=0.81[/tex] represent the estimated proportion

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 98% confidence interval the value of [tex]\alpha=1-0.98=0.02[/tex] and [tex]\alpha/2=0.01[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=2.326[/tex]

And replacing into the confidence interval formula we got:

[tex]0.81 - 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.730[/tex]

[tex]0.81 + 2.326 \sqrt{\frac{0.81(1-0.81)}{131}}=0.890[/tex]

And the confidence interval would be:

[tex] 0.730 \leq \p \leq 0.890[/tex]

Answer:

[tex]-6[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

[tex]m[/tex] is the slope of the line.

[tex]b[/tex] is the y-intercept.

[tex]y=-6x+3[/tex]

[tex]m=-6[/tex]

[tex]-6[/tex] is the slope of the line.

Answer:

-6

Step-by-step explanation:

The given equation is:

y = -6x+3

The standard slope-intercept equation is:

[tex]y = mx+c[/tex]

Where m is slope and c is y-intercept

Comparing the given equation with standard form, we get:

Slope = m = -6

Answer:

for the trapezoid it is 336

Step-by-step explanation:

Answer and Step-by-step explanation:

Answer:

The coordinates of C are (5 , 2)

The slope of CD is 3

The coordinates of D are (6 , 5) and (4 , -1)

Step-by-step explanation:

* Now lets study the problem

- The ends points of line AB are A = 2 , 3) and B = (8 , 1)

- CD is the perpendicular bisector of AB, and C lies on AB

- That means:

# C is the mid-point of AB

# The slope of AB × the slope of CD = -1 (one of them is a multiplicative

 inverse and additive inverse of the other)

-Ex: the slope of one is a/b, then the slope of the other is -b/a

* The mid-point between two points (x1 , y1) and (x2 , y2) is:

 [(x1 + x2)/2 , (y1 + y2)/2]

∵ C is the mid-point of AB

∴ C = [(2 + 8)/2 , (3 + 1)/2] = [10/2 , 4/2] = (5 , 2)

* The coordinates of C are (5 , 2)

- The slope of a line passing through points (x1 , y1) and (x2 , y2) is:

the slope = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (1 - 3)/(8 -2) = -2/6 = -1/3

∵ CD ⊥ AB

∴ The slope of CD × the slope of AB = -1

∴ The slope of CD = 3

* The slope of CD is 3

- The length of a line passing through points (x1 , y1) and (x2 , y2) is:

the length = √[(x2 - x1)² + (y2 - y1)²]

∵ The length of CD = √10

∵ Point D is (x , y)

∴ (x - 5)² + (y - 2)² = (√10)²

∴ (x - 5)² + (y - 2)² = 10 ⇒ (1)

∵ The slope of CD is (y - 2)/(x - 5) = 3 ⇒ by using cross multiply

∴ (y - 2) = 3(x - 5) ⇒ (2)

- Substitute (2) in (1)

∴ (x - 5)² + [3(x - 5)]² = 10 ⇒ simplify

* [3(x - 5)]² = (3)²(x - 5)² = 9(x - 5)²

∴ (x - 5)² + 9(x - 5)² = 10 ⇒ add the like terms

∴ 10(x - 5)² = 10 ⇒ ÷ 10 both sides

∴ (x - 5)² = 1 ⇒ take √ for both sides

∴ x - 5 = ± 1

∴ x - 5 = 1 ⇒ add 5 to both sides

∴ x = 6

* OR

∴ x - 5 = -1 ⇒ add 5 to both sides

∴ x = 4

- Substitute the values of x in (2)

∴ y - 2 = 3(6 - 5)

∴ y - 2 = 3 ⇒ add 2

∴ y = 5

* OR

∴ y - 2 = 3(4 - 5)

∴ y - 2 = -3 ⇒ add 2

∴ y = -1

* The coordinates of D are (6 , 5) and (4 , -1)

Answer:

Take the root of both sides and solve.

Step-by-step explanation:

x=√185−z2x=−√185−z2

Answer:  12

Step-by-step explanation:

The formula for "varies inversely" is: xy = k

Given: y = 13, k = 156

                 x(13) = 156

                 x      = 156/13

                 x      = 12

Answer:

if i'm not mistaken

56. a

57. b

56. people bought soda and popcorn= 15

total people buy soda = 25

15/25 = 0.6

57. people didn't buy soda = 15

total people surveyed = 40

15/40 = 0.375 ( round off to 0.38 )

Answer:

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

Answer:

Please mark be brainliest and I hoped this helped!

x = 80°

Step-by-step explanation:

These are both isosceles triangles, so the top 2 angles are both 65°. The last angle of that triangle is 180° - (65° + 65°) which is 50°. Then, the opposite of that angle is in the next traingle. It is also 50°. So the 2 base angles are both 50°, so x is 180° - (50° + 50°) which is 80°.

The measure of angle 'x' is 65 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

Angles  ---  [tex]65^\circ[/tex] and x

The following steps can be used in order to determine the measure of angle 'x':

Step 1 - Both the triangles are isosceles triangles because in both the triangles two sides are similar.

Step 2 - Let the upper triangle be ABC and the lower triangle be DBE.

Step 3 - The angle B of the triangles can be calculated as:

[tex]\angle A + \angle B + \angle C = 180[/tex]

[tex]65+65+\angle B = 180[/tex]

[tex]\angle B = 50^\circ[/tex]

Step 4 - Now, angle 'x' can be calculated as:

[tex]\begin{aligned}\\\angle D + \angle B + \angle E &= 180\\x+x + 50 &= 180\\2x &= 130\\x &= 65^\circ\\\end{aligned}[/tex]

The measure of angle 'x' is 65 degrees. Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/7558603

Answer:a rectangular array of quantities or expressions in rows and columns that is treated as a single entity and manipulated according to particular rules.

Step-by-step explanation:For example, the matrix A above is a 3 × 2 matrix. Matrices with a single row are called row vectors, and those with a single column are called column vectors. A matrix with the same number of rows and columns is called a square matrix.

Answer:

The answer would be just about 61% or 9/14

Step-by-step explanation:

So, it would be a 71% chance to get 1 green out of the bag, but then you have to keep that green out, which then lowers the chances of getting another green out of the bag, then you have to combine the percentages, and then that is the final percentage.

The probability of getting 2 greens is 5/31

Probability is the likelihood or chance that an event will occur. It is expressed as:

Probability = Expected outcome/Total outcome

Given that a bag is filled with 4 blue, 3 red and 5 green marbles, the total outcome is expressed as:

If green is picked at first, the probability of selecting a green is  5/12

The probability of getting 2 greens = 5/12 × 4/11

The probability of getting 2 greens = 20/132

The probability of getting 2 greens = 5/31

Hence the probability of getting 2 greens is 5/31

Learn more here: https://brainly.com/question/13604758

Answer:

13ft

Step-by-step explanation:

Use the pythagorean theorem to find the diagonal length:

[tex]5^{2}+12^{2} =x^{2}[/tex]

[tex]x=13[/tex]

Answer:

Y = 2

E = 9

A = 1

R = 0

Step-by-step explanation:

2222 - 999 + 11 - 0 =1234

Answer:

Y = 2

E = 9

A = 1

R = 0

Step-by-step explanation:

Answer:

Answer:

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

6x-2y=-144x-3y=-31

Write as a system of equations.

6x-2y=-31

-144x-3y=-31

Multiply both sides of the equation by 24.

144x-48y=-744

-144x-3y=-31

Sum the equations vertically to eliminate at least one variable.

-51y=-775

Divide both sides of the equation by -51.

y=775/51

Substitute the given value of y into the equation 6x-2y=-31.

6x-2x775/51=-31

Solve the equation for x.

x=-31/306

The possible solution of the system is the ordered pair (x , y).

(x , y)=(-31/306 , 775/51)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]Hypotenuse = 8\\Adjacent = x\\ Angle = \alpha = 43\\\\Using ; SOHCAHTOA , \\Cos \alpha = \frac{adj}{hyp} \\Cos 43 =\frac{x}{8} \\0.73= \frac{x}{8} \\x = 0.73*8\\x = 5.84\\x = 5.8[/tex]

I hope i am correct

Answer:

Domain: All real numbers

Range: y ≤ 0

Step-by-step explanation:

The graph of the function h(x) = -343ˣ is shown below.

We can see that the domain of the functions is all real real numbers.

However, Range of the function only includes 0 or the negative values of y, so Range of the function is y ≤ 0.

It can be clearly seen in the graph that when x increase, y decreases, for example for x = -0.5, the value of y is y = -0.05. If x is increase to x = 0, then value of y decreases to y = -1.

Similarly, when x = 0.1, the value of y is y= -1.8 , if x decreases to 0, then y increases to y=-1.8, which shows that when x decreases, y increase.

Answer:

3900

Step-by-step explanation:

We can round the 888 to 900

Answer:

3900

Step-by-step explanation:

thousands, hundreds tens ones

  3                     8          8       8

Rounding to the nearest hundred, we look at the tens place.  if it is 5 or greater we round up

3900

Answer:B.

Step-by-step explanation:

1 whole or 4/4 time's what its being compaired to then multiply to get your answer! :D stay safe!

Answer:

224

Step-by-step explanation:

Khan hehe

Answer:

x=2

z=80

Step-by-step explanation:

Since (7x+66) and (11x+78) are a linear pair, their measures are supplementary and therefore add up to 180 degrees. z and (7x+66) are also vertical angles, meaning that they are equal.

7x+66+11x+78=180

18x+144=180

18x=36

x=2

z=7x+66=7(2)+66=14+66=80

Hope this helps!

Answer:

C.  Linear decrease

Step-by-step explanation:

I can't really show a graph but I will try to explain

The water is leaking at a constant rate, meaning its not regaining it water (its only leaking). So if u were to graph this it would be a linear decrease

( That was a Terrible explanation but the answer is right lol)

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

Answer:

D. 40

Step-by-step explanation:

Area of triangle: A = 1/2bh

We have b and h already, so simply plug it in:

A = 1/2(16)(5)

A = 8(5)

A = 40 units²

Area of a triangle: A = bh/2

Solve with the values we are given.

A = 5*16/2

A = 80/2

A = 40

Therefore, the answer is D.

Best of Luck!

Answer:

C

Step-by-step explanation:

The front elevation, side elevation, and plan of the 3D shape represent the shape C.

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.

4 * 2 = 8

[tex]x^8[/tex]

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

[tex](x^4)^2[/tex]

Apply the law of exponents, where:

[tex](x^a)^b=x^{ab}[/tex]

[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]

Answer:

151

Step-by-step explanation:

first, you subtract 2 from 449. then you divide 447 by 3. you would get 149 as the answer.

you would then add 2 to 149 because we are counting 2 and 449 in the sequence. 149+2=151

Answer: option 3

PLEASE MARK ME AS BRAINLIEST

Answer:

option c  it has rotational symmetry with an angle of rotation 90degree

Step-by-step explanation:

it is a figure shown based on symmetry first 2 option saying a basic answer

and last one is wrong

Answer:

Step-by-step explanation:

1. x/10=12/15

x*15=10*12

x=10*12/15

x=2*5*3*4/5*3=8

x=8

2. x/9=8/6

x*6=9*8

x=9*8/6

x=3*3*8/3*2=24/2

x=12