Ali is in charge of the dinner menu for his senior prom, and he wants to use a one-sample z interval to estimate
what proportion of seniors would order a vegetarian option. He randomly selects 30 of the 150 total seniors
and finds that 7 of those sampled would order the vegetarian option.
Which conditions for constructing this confidence interval did Ali's sample meet?
Choose all answers that apply:
A. the data is a random sample from the population of interest
B. np^>_10 and n(1-p^)>_10
C. individual observations can be considered independent

Answer:

Step-by-step explanation:

Remark

I think the easiest way to do this is to calculate the probability of those that are 12 to 24. Then subtract the decimal you get from 1. That saves you adding up 3 numbers to get the same answer.

Givens

Total number of movie goers = 3880

Total number that are between 12 and 24 = 1180

Solution

Probability of a random person being drawn from 1180

people between 12 and 24 = Those between 12 and 24 = 1180

Total Number = 3880

P(12 - 24) = 1180 / 3880

P(12 -24) = 0.3041

Remember, that's not what you want. You want everyone else

P(not(12-24)) = 1 - 0.3041

Answer 0.6959

Answer:

  y = qx/p -qr

Step-by-step explanation:

To solve for a variable, you must undo the operations done to the variable. Here, the variable is divided by a negative number (-q), and the result is added to another term (x/p).

We undo the addition by adding the opposite of the term that is added:

  [tex]\dfrac{x}{p}-\dfrac{x}{p}-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{add $-\dfrac{x}{p}$}\\\\-\dfrac{y}{q}=r-\dfrac{x}{p}\qquad\text{simplify}[/tex]

We undo the division by multiplying by the reciprocal of the coefficeint, -q.

  [tex]\left(-\dfrac{y}{q}\right)(-q)=\left(r-\dfrac{x}{p}\right)(-q)\qquad\text{multiply by $-q$}\\\\\boxed{y=-qr+\dfrac{qx}{p}}\qquad\text{simplify}[/tex]

The surface area of the right prism with an isosceles triangle base is 720 inches squared.

surface area = bh + l(x + y + z)

where

Therefore,

b = 24 inches

h = 5 inches

x = 13 inches

y = 13 inches

z = 24 inches

l = 12 inches

Surface area = 24 × 5 + 12(13 + 13 + 24)

Surface area = 120 + 12(50)

Surface area = 120 + 600

Surface area = 720 inches²

learn more on surface area here: https://brainly.com/question/2835293

Answer:

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

or x² +y²= 9

Step-by-step explanation:

In Cartesian form, the equation is expressed only in terms of y and x.

x= -3sin(t) -----(1)

y= 3cos(t) -----(2)

I've written x instead of x(t) as in the later part of the working, we will be having an equation of only x and y, thus x will no longer be a function of t. This applies to equation 2, where I have replaced y(t) with y.

Relating sine to cosine:

sin²(t) +cos²(t)= 1

[sin(t)]² +[cos(t)]²= 1 -----(3)

From (1):

[tex] \frac{x}{ - 3} = \sin(t) [/tex]

[tex] \sin(t) = - \frac{x}{3} [/tex] -----(3)

From (2):

[tex] \frac{y}{3} = \cos(t) [/tex]

[tex] \cos(t) = \frac{y}{3} [/tex] -----(4)

Substitute (4) &(5) into (3):

[tex]( - \frac{x}{3} )^{2} + ( \frac{y}{3}) {}^{2} = 1[/tex]

[tex]( \frac{x}{3} ) {}^{2} + ( \frac{y}{3} ) {}^{2} = 1[/tex]

The steps below are optional as the above is already considered to be the Cartesian form.

[tex] \frac{ {x}^{2} }{9} + \frac{y {}^{2} }{9} = 1[/tex]

Multiplying both sides by 9:

x² +y²= 9

Answer:

41.86 is the right answer

Step-by-step explanation:

Answer:

Before cooling begins, the temperature of the water is 22°C.

Step-by-step explanation:

need steps??

have a good day

rate my answer

Answer:

Biased

Step-by-step explanation:

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

Answer: 70

Step-by-step explanation:

Answer:

its yes

Step-by-step explanation:

because it's x 2  I hope this helps      

Answer:

0.323232 is the greater number

Step-by-step explanation:

This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.

Look here: 0.323232       0.320000

You can see that there is a 3 after the first 2, therefore that shall deem the greater number.

Answer:

The one above the orange answer in the picture

Step-by-step explanation:

85% of 20 is 17 every thing else is not 85%

The correct answer would be the one on top left

Answer:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Step-by-step explanation:

5+2. =10. 4. You pick a card, flip a coin, and spin the spinner. How many outcomes are possible? Zx2x3 =12. Op. 2*2*3=12

Answer:

  61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

__

The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

  g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.

Given that the absolute value of a function is its positive value and the value of x is -10, hence the absolute value of x is 10

The absolute value is the positive value of any given value.

Given the equation

x + 8 = -2

Determine the value of x

x = -2 - 8
x = -10

Since x is -10, hence the absolute value of x is 10

Learn more on absolute value here: https://brainly.com/question/24368848

Answer:

3 miles (3 laps)

Step-by-step explanation:

Assuming 1 lap is a mile, and 1/2 hour has 30 minutes, 1 mile per 10 minutes gives us 3 miles.

Answer:

7/3

Step-by-step explanation:

pls mark me brainliest :)

Answer:

7/8

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

35 ÷ 5

40 ÷ 5

The correct factored form of the expression p³ - 125q³ is,

(p - 5q)(p² + 5pq + 25q²).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

We know, a³ - b³ = (a - b)(a² + ab + b²).

Given, An expression p³ - 125q³.

= p³ - (5q)³.

= (p - 5q)(p² + p.5q + (5q)²).

= (p - 5q)(p² + 5pq + 25q²).

learn more about factoring expressions here :

https://brainly.com/question/11994048

#SPJ7

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

Answer:

z=58

Step-by-step explanation:

Sum of interior angles of a n-gon = (n-2) 180

for this 7-gon  (heptagon)      (7-2)(180) = 900

so all of the angles added togehter = 900

z+50   + 2z  + 2z+23   + 3z-37  + 2z+31   + 113 + 140 = 900

z = 58

Find the circumference:

Circumference = pi x radius x 2 = 138.16 feet

Linear travel = circumference x rotations

linear travel = 138.16 x 20 = 2.763.2 feet.
Round off to 2,763 feet

Answer:15h

Step-by-step explanation: because 8m+7m = 15h and the side the H is on is way bigger than the other sides so thats how you know your supposed to add.

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

To find :-

Solution :-

8+x = 14

x = 14-8 (Signs change when transferred to opposite side)

x = 6

Answer:

B. 46 ft²

Step-by-step explanation:

Two sides are rectangles 3.1 ft by 5 ft.

One side is a rectangle 5 ft by 3 ft.

area = 2(3.1 ft × 5 ft) + (5 ft × 3 ft)

area = 46 ft²

Step-by-step explanation:

4x - 96 = 0

4x = 96

x = 96/4

x = 24

Hope it helps you :)

Answer:

14 flats

5 plants

Step-by-step explanation:

First you would do 89/6 but since that doesn’t divide nicely you can do 90/6 to get 15 then subtract 1 since the original number was 89 and you would get 14

The 14 times 6 would get you 84

Then subtract 84 from 89 and you get 5 plants left over ^^

Answer:

Emily is now 12.

Jacob is now 16.

Step-by-step explanation:

since Emily is 4yrs younger than Jacob, let Jacob be x and Emily be (x - 4) yrs.

eight yrs ago: Emily is ( x-4-8) = ( x - 12)

Jacob is ( x - 8)

Emily was half Jacob's age: so, we have to balance the ages by either multiplying Emily's age by 2 or dividing Jacob's age by 2. ( I multiplied by 2)

2( x - 12) = x - 8

2x - 24 = x - 8............ Bring the like terms together and solve for x

x = 16, which is Jacob's current age

Emily ( x - 4) = 12 yrs

Answer:

[tex](2x - 5)^2[/tex]

Step-by-step explanation:

[tex]y = 4x^2 -20x + 25\\\rightarrow (2x - 5)(2x - 5)\\\rightarrow (2x - 5)^2\\\\\text{checking...}\\(2x - 5)^2 = (2x - 5)(2x - 5) = 4x^2 - 10x - 10x + 25 = 4x^2 - 20x + 25[/tex]

Answer:

  7.50 m

Step-by-step explanation:

The side lengths of the "special triangle" with angles 30°-60°-90° have the ratios 1 : √3 : 2. These ratios can be used to solve the problem.

__

The parts of the tree of interest correspond to the long side and the hypotenuse of a 30-60-90 triangle.

In terms of the above ratio units, the fraction of tree height that is broken off is ...

  [tex]\dfrac{\text{hypotenuse}}{\text{hypotenuse $+$ long side}}=\dfrac{2}{2+\sqrt{3}}\approx0.535898[/tex]

So, the length of the broken part of the tree is ...

  0.535898 × 14 m ≈ 7.50 m