Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
n=800, p=0.6
a) Determine the mean of the sampling distribution
b) Dtermine the standard deviation of the sampling distribution

The travel of the spring is it’s amplitude, which is a cosine function.

The lowest y value is -5

Multiply that by cosine of pi x time

The formula is d = -5cos(pi t)

The equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

The distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t.

We know the cosine equation for distance d:

d = acos(bt+c) + d

From the graph: a = -5, b = π

Assume the phase and vertical shift are zero.

c = 0 and d = 0

Plug all values in the function, the equation becomes:

d = -5cos(πt)

Thus, the equation d = -5cos(πt) modeled the distance, d, in inches of a weight attached to a spring from its equilibrium as a function of time, t, in seconds.

Learn more about trigonometry here:

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Answer:

A: 12.5 per week B= 12.75

Step-by-step explanation:

1/2 times 7 (days in a week) is 3.5. So A is 8+3.5=12.5. 7 times 5/4 is 8.75. So B is 4+8.75=12.75

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 19}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 3 = 12x - 5(2x - 7)}[/tex]

Distribute 5 through the parentheses

⇒[tex] \sf{ - 3 = 12x - 10x + 35} [/tex]

Collect like terms

⇒[tex] \sf{ - 3 = 2x + 35}[/tex]

Swap the sides of the equation

⇒[tex] \sf{2x + 35 = - 3}[/tex]

Move 45 to right hand side and change it's sign

⇒[tex] \sf{2x = - 3 - 35}[/tex]

Calculate

⇒[tex] \sf{2x = - 38}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{ - 38}{2} }[/tex]

Calculate

⇒[tex] \sf{x = - 19}[/tex]

Hope I helped!

Best regards!!

Answer

p/q = 8/6

Make p the subject

p = 8q/6........equation 1

This year the price was reduced by 4

p-4/q-4 = 7/5

Cross multiple

5(p-4) = 7(q-4)

5p-20 = 7q-28

5p - 7q = -8 .......equation 2

Sub 8q/6 for p in equation 1

5(8q/6) - 7q = -8

Multiply through by 6

40q-42q=-48

-2q=-48

q=24

Sub 24 for q in equation 1

p= 8(24)/6

p= 192/6

p= 32.....

Check the answer for confirmation.

Thanks.

Answer:

Yes

Step-by-step explanation:

Because A categorical variable can bexpressed as a number when statistical evaluation is intended, However, these numbers do not mean the same as a numerical value e.g giving numbers to waist sizes, test scores, grade level etc

Answer:

B. (0, 5]∪(15,30] only (15,30] contains viable rates for the hoses.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

For us to meet the pool maintenance company's schedule, the pool needs to fill at a combined

rate of at least 10 gallons per minute. If the inequality represents the combined rates of the hoses is 1/x+1/x-15≥10 we are to find all solutions to the inequality and identifies which interval(s) contain viable filling rates for the  hoses. On simplifying the equation;

[tex]\frac{1}{x} + \frac{1}{x-15} \geq \frac{1}{10}\\\\ find\ the \ LCM \ of \ the function \ on \ the \ LHS\\\\\frac{x-15+x}{x(x-15)} \geq \frac{1}{10}\\\\\frac{2x-15}{x(x-15)} \geq \frac{1}{10}\\\\10(2x-15)\geq x(x-15)\\\\20x-150\geq x^2-15x\\\\collect \ like \ terms\\-x^2+20x+15x - 150\geq 0\\[/tex]

[tex]-x^2+35x-150 \geq 0\\\\multipply \ through \ by \ minus\\x^2-35x+150 \leq 0\\\\(x^2-5x)-(30x+150) \leq 0\\\\x(x-5)-30(x-5) \leq 0\\\\[/tex]

[tex](x-5)(x-30) \leq 0\\\\x-5 \leq 0 and x - 30 \leq 0\\\\x \leq 5 \ and \ x \leq 30[/tex]

The interval contains all viable rate are values of x that are less than 30. The range of interval is (0, 5]∪(15,30]. Since the pool needs to fill at a combined  rate of at least 10 gallons per minute for the pool to meet the company's schedule, this means that the range of value of gallon must be more than 10, hence (15, 30] is the interval that contains the viable rates for the hoses.

Answer:

6 hours 15 minutes

Step-by-step explanation:

1 litre = 1000cm³

45 litres = 45000cm³

Volume = rate × time

45000 = 2 × t

t = 22500 secs

= 375 mins

BRAINLIEST PLEASE

All time values listed above are equivalent, so you only need to pick one value to write as the answer.

======================================================

Work Shown:

1 liter = 1000 cubic cm

45 liters = 45*1000 = 45000 cubic cm

The container has a capacity of 45000 cubic cm

It will take 45000/2 = 22500 seconds to fill the container since the rate is 2 cubic cm per second.

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

Convert from seconds to minutes

22500 seconds = (22500)*(1 min/60 sec)

22500 seconds = (22500/60) min

22500 seconds = 375 min

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

Convert to hours

375 min = (375)*(1 hr/60 min)

375 min = (375/60) hr

375 min = 6.25 hr

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

Converting to hours,minutes

6.25 hr = 6 hr + 0.25 hr

6.25 hr = 6 hr + (0.25*60) min

6.25 hr = 6 hr + 15 min

6.25 hr = 6 hr, 15 min

Answer:

17     34

24    58

31     89

38    127

45    172

52    224

59    283

62    345

69    414

76    490

83    573

Step-by-step explanation:

Filling up the chart, you will get 227 at the 15 score mark. (You can just continuously add)

Then at the final answer you add the results to total pushups you get 573.

There is a faster way to do this using a formula, but probably will go over your head.

Answer:

Amount of fabric left = 1 ft

Step-by-step explanation:

Given:

Amount of fabric Marlene had = 7 ft

Amount of fabric Marlene used = 6 ft

Find:

Amount of fabric left

Computation:

Amount of fabric left = Amount of fabric Marlene had  - Amount of fabric Marlene used

Amount of fabric left = 7 ft - 6 ft

Amount of fabric left = 1 ft

Answer:

50

Step-by-step explanation:

a = # of apples

b = # of bananas

5a + 3b = 570

3a + 5b = 470

Solve with substitution or elimination.  To solve by elimination, multiply the first equation by 5 and the second equation by 3.

25a + 15b = 2850

9a + 15b = 1410

Subtract:

16a = 1440

a = 90

Plug into either equation to find b.

5(90) + 3b = 570

450 + 3b = 570

3b = 120

b = 40

So apples are 90 cents, and bananas are 40 cents.  Therefore, apples are 50 cents more than bananas.

Answer:

  1100 ft

Step-by-step explanation:

1 mile per hour is equivalent to 22 ft in 15 seconds, so we can convert the speed to distance using ...

  distance = speed × time

  distance = (150 mi/h) (22/15 ft/s)/(1 mi/h) (5 s) = (150·22·5)/15 ft = 1100 ft

The car travels 1100 feet in 5 seconds.

Answer:

Step-by-step explanation:

mxcm w dhvhhhvhhjjjbvgvhn jnjjhvghcghyjbvcchgvukchgcgvmbmhc

Answer:

1. Kate travelled more by 83.87km 2. = 42.5, 85 3. a= 2570 b= 348.9 c= 0.0048 d= 0.765 4. = 15.25

Step-by-step explanation:

1. 320.25km- 236.38km = 83.87km.

2. 8.5x5= 42.5, 8.5x10 = 85.

3. a= 2570  b= 348.9 c= 0.0048 d= 0.765

4. 17.75- 2.5 = 15.25.

hope you found this helpful :)

Answer:

12

Step-by-step explanation:

4y - 6 + 5y = y

place 2 in the spot of y

4(2) - 6 + 5(2)= y

keep that last y the way it is

4•2=8     5•2=10

8-6+10=y

Simplify

2+10=y

12=y

Answer:

64

Explination:

4 is the length of one side because 96/6(the ammount of faces)=16 and the square root of 16 is 4 and since the area of a cube is one side^3 this is the answer

Remember to mark brainliest

Answer:

A

Step-by-step explanation:

Answer:

1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.

Step-by-step explanation:

There are several ways to solve this, I like using proportions.

(You could also find 3/4 of every ingredient since 12 is 3/4s of 16)

We can do this by temporarily naming the amount of each ingredient a variable, and then using the proportion to find the variable.

Note that in a given proportion such as:

a/b=c/d

will always equal

a*d=b*c

This is known as cross multiplying.

For each ingredient I'm going to set up the following proportion:

[tex]\frac{amount of given ingredient in 16 brownies}{16 (number of brownies)} = \frac{variable (amount of given ingredient in 12 brownies}{12 (new number of brownies)}[/tex]

Now we can start setting up proportions for every ingredient.

Butter:

(2/3)/16=b/12

(2/3)(12)=16b

8=16b

b=1/2

Chocolate:

5/16=c/12

60=16c

c=60/16

c=15/4

Sugar:

(3/2)/16=s/12

(3/2)(12)=16s

18=16s

s=18/16

s=9/8

Vanilla:

2/16=v/12

24=16v

v=24/16

v=3/2

Eggs:

2/16=e/12

24=16e

e=3/2

Flour:

1/16=f/12

12=16f

f=3/4

Therefore, the ingredients for 12 brownies would be:

1/2 cups butter, 15/4 ounces unsweetened chocolate, 9/8 cups sugar, 3/2 teaspoons vanilla, 3/2 eggs, and 3/4 cups flour.

Answer:

u have to use cos san and tan?

i think sorry if im wrong

Step-by-step explanation:

Answer:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Step-by-step explanation:

(t•s )(x) is the product of functions s and t:

(t•s )(x) = ( 4x^2 - x + 3)(x - 7).  Applying the Distributive Property of Multiplication, we get:

(t•s )(x) = 4x^3 - 28x^2 - x^2 + 7x + 3x - 21

which needs to be simplified by combining like terms:

(t•s )(x) = 4x^3 - 29x^2 + 10x - 21

Answer:

derivative of the vector function given = ( -16-22t, 14-36t, -2-16t )

Step-by-step explanation:

given data:

vector function : r(t) = ta*(b+tc)

a = ( 2,-3.4) .   b = (-4,5,-1).  c = ( -2,-1,5)

to find the derivative of the vector function we will differentiate with respect to x attached below is the detailed solution

Answer:

The excel function that will gibe the p-valur for overall significance of a regression has 75 observations and 5 predictors and gives an F test statistic FCal = 3.67 is given below:

F.DIST.RT(3.67,5.69)

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 2 \:  ,  \: 1 \:  ,  \: 3 \: }}}}}[/tex]

Step-by-step explanation:

Given,

A = { ( 2 , 3 ) , ( 5 , 1 ) , ( -3 , -2 ) , ( 0 , 3 )

To find : Range

Range are set of all y - co-odinates.

So, Range = { - 2 , 1 , 3 }

Hope I helped!

Best regards!!

Answer:

(-2,1,3)

Step-by-step explanation:

ODY 2022

Answer:

22

Step-by-step explanation:

The volume of a cube is given as:

Cube volume = length × length × length

Since the edges of the cube measure 3 inches, this means that the length of the cube is 3 inches, therefore:

Cube volume = 3 inches × 3 inches × 3 inches = 27 in³

The pine tree is the shape of a cone with diameter of 1.5 inches and a height (h) of 2 inches. The radius (r) = diameter / 2 = 1.5 inches / 2 = 0.75 inches.

The volume of the cone = πr²(h/3) = π × (0.75)² × (2/3) = 1.178 in³

The number of pine trees that can be made = Volume of cube / Volume of cone = 27 / 1.178 = 22.9

The number of pine trees = 22

Answer:

7.3×10^8

Step-by-step explanation:

Hi

scientific notation  mean the answer is  of the  form x *10^y

where x ∈ [1; 10[   and  y ∈ Z

so   730 000 000  is   7.3 * 10^8

Answer: C

Step-by-step explanation:

Excluding men under 30 from the selection process of the survey makes it bias because all mean  50 or younger are supposed to be included.

Answer:

The  probability is  

        [tex]P(Z>1.3793 ) = 0.083901[/tex]  

Step-by-step explanation:

From the question we are told that

   The  proportion proportion is  [tex]p = 0.30[/tex]

    The sample size is [tex]n = 1000[/tex]

    The  sample  proportion [tex]\r p = 0.32[/tex]

Generally the standard error is mathematically represented as

       [tex]SE = \sqrt{\frac{p (1 - p)}{ n} }[/tex]

       [tex]SE = \sqrt{\frac{ 0.30 (1 - 0.30 )}{ 1000} }[/tex]

      [tex]SE = 0.0145[/tex]

The probability that more than 32% of the respondents say they prefer the Laurier brand is mathematically represented as

        [tex]P(X > 0.32 ) = P( \frac{X - p }{ SE} > \frac{\r p - p }{ SE} )[/tex]

 Here  [tex]\frac{X - p }{SE} = Z (the \ standardized \ value \ of \ X)[/tex]

            [tex]P(X > 0.32 ) = P(Z>1.3793 )[/tex]

From the z -table   [tex]P(X > 0.32 ) = P(Z>1.3793 ) = 0.083901[/tex]

  [tex]P(Z>1.3793 ) = 0.083901[/tex]  

Using the normal distribution and the central limit theorem, it is found that there is a 0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then, the mean and the standard error are given by:

[tex]\mu = p = 0.3[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.3(0.7)}{1000}} = 0.0145[/tex]

The probability that more than 32% of the respondents say they prefer the Laurier brand is 1 subtracted by the p-value of Z when X = 0.32, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.32 - 0.3}{0.0145}[/tex]

[tex]Z = 1.38[/tex]

[tex]Z = 1.38[/tex] has a p-value of 0.9162.

1 - 0.9162 = 0.0838

0.0838 = 8.38% probability that more than 32% of the respondents say they prefer the Laurier brand.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

$240

Step-by-step explanation:

50% = 0.5

$120 ÷ 0.5 = $240

The original price without the discount is $240.

Hope that helps.

Answer:

[tex]\Huge \boxed{{x=-1\pm \sqrt{7}}}[/tex]

Step-by-step explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

Plug in the values.

[tex]\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}[/tex]

Evaluate.

[tex]\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}[/tex]

[tex]\displaystyle x=\frac{-2\pm\sqrt{28}}{2}[/tex]

[tex]\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}[/tex]

Answer: Edmentum and Plato

Step-by-step explanation:

Answer:

Intercept  - 1

Slope - 3

Step-by-step explanation:

in y=mx+b

m is the slope and b is the y intercept

Answer:

distance moved by kayaker is 54m