Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n=500, x=200, 95% confidence

Step-by-step explanation:

Lunar eclipses can only happen when the Moon is opposite the Sun in the sky, a monthly occurrence we know as a full Moon.

Answer:

12/32, 3/8, or 37.5%

Step-by-step explanation:

Add the candies in the bag together

13+7+12=32

12 out of the thirty-two are orange

12/32

After dividing by 4 to simplify, you get

3/8

3÷8 will give us the decimal which we can then turn into a percentage

37.5%

12/32, 3/8, or 37.5%

Hope this helps :-)

Answer:

I think it's     (16/81)

Step-by-step explanation:

Answer:

38.38 miles per gallon

Step-by-step explanation:

16.3 km/L to miles per gallon

1 mile = 1.609 km

16.3 km = 16.3/1.609 = 10.13 miles

1 gallon = 3.788 L

1 L = 1/3.788 = 0.2639 gallon

therefore,

16.3 km/L = 10.13/0.2639 = 38.38 miles per gallon

Answer:

14 [tex]\frac{5}{48}[/tex]

Step-by-step explanation:

rectangular volume = length * height * width

1354 = (20+4) * 4 * width

1354 = 24 * 4 *w

1354 = 96w

14.1 = w

Step-by-step explanation:

Remember: the origin is at the very center of the graph: (0,0). Not (0,1), (1,0), or 0. The first two options are not at the center. (0,1) takes us one unit above the middle, and (1,0) takes us one unite to the right of the origin. The number 0 is not used to find a point. So, our final answer is: (0,0).

Answer:

Hey there!

-6-(-12)

-6+12

6

Hope this helps :)

Answer:

[tex]6[/tex]

Step-by-step explanation:

[tex]-6-(-12)[/tex]

[tex]-6+12[/tex]

Since 12 - 6 is equal to 6, -6 + 12 would be 6.

[tex]=6[/tex]

Now you have your answer!

Hope this helps!

Answer:

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected number of outcome/Total outcome

Since a pair of die with six faces is rolled, the total number of outcome will be 6^2 = 36

Expected outcome is the sum of dice greater than 10. The only time we can get a sum of the dice grater than 10 is when the following are rolled; (5,6), (6, 5) and (6, 6). The sum of the numbers will give us 11 ans 12 respectively which are values greater than 10.

The expected outcomes = 3 outcomes

The probability that the sum of my dice is greater than 10 = 3/36

Hence the probability that the sum of my dice is greater than 10 is 1/12

Answer:

[tex]\boxed{\bold 4.651 \times {10}^{5}}}[/tex]

Step-by-step explanation:

[tex]400000 + 60000 + 5000 + 100 \\ = 465100[/tex]

Now write it in standard form.

[tex]465100 \\ = 4.651 \times {10}^{5} [/tex]

hope this helps you.

will give the brainliest!

follow~Hi1315~

Answer:

[tex]42\pi -78[/tex]

Step-by-step explanation:

Attached below is the detailed solution of the volume of the solid in the first octant bounded by the cylinders r = 2 r = 5  z = 8-x-y

The volume of the solid in the first octant bounded by the cylinders r = 2 r = 5,  z = 8-x-y  : [tex]42\pi -78[/tex]

Answer:

10

Step-by-step explanation:

Solving $4x=3y$ for $x$ gives $x = \frac{3}{4}y$. Substituting this into the desired expression gives\begin{align*}\frac{2x+y}{3x-2y} &= \frac{2\left(\frac34\right)y + y}{3\left(\frac34y\right) - 2y}\\

&=

\frac{\frac32y + y}{\frac94y - 2y} = \frac{\frac52y}{\frac{y}{4}} \\

&=\frac{5}{2}\cdot 4 = \boxed{10}.\end{align*}

Answer:

10

Step-by-step explanation:

Substitution and simplification

Answer:

R (t) = 60 - 60 cos (6t)

Step-by-step explanation:

Given that:

R(t) = acos (bt) + d

at t= 0

R(0) = 0

0 = acos (0) + d

a + d = 0 ----- (1)

After [tex]\dfrac{\pi}{12}[/tex] seconds it reaches a height of 60 cm from the ground.

i.e

[tex]R ( \dfrac{\pi}{12}) = 60[/tex]

[tex]60 = acos (\dfrac{b \pi}{12}) +d --- (2)[/tex]

Recall from the question that:

At t = 0, R(0) = 0 which is the minimum

as such it is only  when a is  negative can acos (bt ) + d can get to minimum at t= 0

Similarly; 60 × 2 = maximum

R'(t) = -ab sin (bt) =0

bt = k π

here;

k  is the integer

making t the subject of the formula, we have:

[tex]t = \dfrac{k \pi}{b}[/tex]

replacing the derived equation of k into R(t) = acos (bt) + d

[tex]R (\dfrac{k \pi}{b}) = d+a cos (k \pi)[/tex] [tex]= \left \{ {{a+d \ for \ k \ odd} \atop {-a+d \ for k \ even}} \right.[/tex]

Since we known a < 0 (negative)

then d-a will be maximum

d-a = 60  × 2

d-a = 120 ----- (3)

Relating to equation (1) and (3)

a = -60 and d = 60

∴ R(t) = 60 - 60 cos (bt)

Similarly;

For [tex]R ( \dfrac{\pi}{12})[/tex]

[tex]R ( \dfrac{\pi}{12}) = 60 -60 \ cos (\dfrac{\pi b}{12}) =60[/tex]

where ;

[tex]cos (\dfrac{\pi b}{12}) =0[/tex]

Then b = 6

∴

R (t) = 60 - 60 cos (6t)

Step-by-step explanation:

Hey there!!

During evaluating the expression, you must follow,

Here,

[tex]i). \: b + {c}^{2} [/tex]

[tex] = 30 + {6}^{2} [/tex]

= 30+36

= 66.

ii). b-4c

= 30 - 4×6

= 30 - 24

= 6

Hope it helps...

(- 1 - 2√3)²

applicating (a - b)² = a² + b² - 2ab

a = - 1

b = 2√3

so:

(- 1 - 2√3)² =

(- 1)² + (2√3)² - 2(- 1)(2√3) =

1 + (2² * √3²) + 2(2√3) =

1 + (4 * 3) + 4√3

1 + 12 + 4√3 = 13 + 4√3

Answer:

142

Step-by-step explanation:

Step-by-step explanation:

70 - -72

= 70+ 72

= 142

I think this should be the answer

Answer:

1144.18 e-12 chips

Step-by-step explanation:

Conversation rate of nanometers

1 nanometers =1* 10^-12 km

35 nanometers= 35 *10^-12

Radius of earth= 6371 km

Circumference of earth = 2πr

Circumference= 2*22/7*6371

Circumference=40046.29 km

The number of chips to be used to circle the earth

= 40046.29/35 *10^-12

=1144.18 *10^-12

= 1144.18 e-12 chips

Answer:

Domain: [-4, 4]

Range: [-3, 5]

Function? No

Step-by-step explanation:

Domain is all x-values that can be inputted in the graph that returns an output.

Range is all y-values that are outputted when x is inputted.

A function has to pass the Vertical Line Test.

Answer: 1.12099824328 or estimated is 1

Answer:

Step-by-step explanation:

To find the value of y when x= 18 we must first find the relationship between them

The statement

y varies directly as x is written as

[tex]y \: \: \alpha \: \: kx[/tex]

where k is the constant of proportionality

when y = 37

x = 5

Substitute the values into the above formula and solve for k

That's

37 = 5k

Divide both sides by 5

So the formula for the variation is

When x = 18

y = 7.4(18)

We have the answer as

Hope this helps you

Answer:

x + 13

Step-by-step explanation:

5x + 2(3 - 2x) +7

Distribute the 2 into (3 - 2x)

5x + 6 - 4x + 7

Combine like terms

x + 13

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.

PEMDAS is an acronym that refers to the sequence of operations to be employed when solving equations with multiple operations. PEMDAS is an acronym that stands for P-Parenthesis, E-Exponents, M-Multiplication, D-Division, A-Addition, and S-Subtraction.

The given expression 5x+2(3−2x)+7 can be simplified as shown below.

5x + 2(3−2x) + 7

Open the parenthesis,

= 5x + 6 − 4x + 7

Bring the like terms together,

= 5x − 4x + 7 + 6

Add the like terms,

= x + 13

Hence, The given expression 5x+2(3−2x)+7 when simplified will be equal to x+13.

Learn more about PEMDAS here:

https://brainly.com/question/36185

#SPJ2

Answer:

x = ± sqrt(k)

x = ± 8 by the square root property

Step-by-step explanation:

x^2 = k

K is a real number

Take the square root of each side

sqrt(x^2) = ± sqrt(k)

x = ± sqrt(k)

Letting k = 64

x = ± sqrt(64)

x = ± 8 by the square root property

Answer:

x = ± √k

x = ± √8 by the square root property

Step-by-step explanation:

x² = k

where k is a real number

square root of each side

√x² = ± √k

x = ± √k

let k = 64

x = ± √64

therefore

x = ± 8 by the square root property

Answer: [tex]\sqrt[5]{27}[/tex], fifthroot(27) [according to your picture, I think there will be no space between fifth and root]  

Step-by-step explanation:

concept to know: any exponent that is performed in fraction, the numerator will be the real exponent for the base, while the denominator will be the root

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

[tex]27^{\frac{1}{5}[/tex]

This has 1 as the numerator and 5 as the denominator.

1 can be ignored because any number to the 1 power is equal to itself.

5 is the root for 27

[tex]\sqrt[5]{27}[/tex]

Hope this helps!! :)

Please let me know if you have any question

Answer:

-5

Step-by-step explanation:

-3 - 2 = -5

Answer:

14 is 4

15 is check your self

in Google

Answer:

[tex]8n[/tex]

Step-by-step explanation:

The answer would be [tex]8n[/tex] because [tex]8*n[/tex] = [tex]8n[/tex]

Answer:

let angle AOB and angle COD be x

the it would be

x+x+110=180

2x+110=180

2x=180-110

2x=70

x=70/2

x=35 degree.

hope it will help you.

Answer:

Depends on how many spoonfuls they use per sundae. If they use one spoonful they made 32 sundaes, if they use 2 spoonfuls they made 16 sundaes.

Answer:

the sum would be located 2 notches to the right from 0.

Step-by-step explanation:

since the notches are already split up into 5, you just count 2 notches to the left (since its negative) and then count 4 notches to the right and then you land on your sum :) btw I like your profile picture