Now let's look at the data from all the Buffalo. If we calculate the 60% confidence interval for every buffalo's count (i.e. data sample), how many Cls do we expect to contain the true mean? Store your answer in theoretical_hits. Then we need to check our theoretical answer with our actual data. Calculate the 60% confidence interval for each buffalo's count. Then commpute how many of those Cls contain the true mean. Assume that the true mean is 25,000. Store this value in sample_hits . Does this value match the theoretical value? It may be helpful to visualize the Confidence Intervals, along with the true mean. Create a plot for the Confidence intervals for the first 40 rows of the dataframe. Also plot true_mean=25000 as a horizontal dotted line. This plot will not be graded, but may help you get a better understanding of different confidence intervals for the same underlying population. We recommend looking into the ggplot package to help with this task.

Answer:

her height would be 6

Step-by-step explanation:

Since 5/8 is greater than 1/2 you have to look for the greatest closes number which would be one. So you just add that one to the 5 and you get 6.

Answer:

5 1/2

i promise loll

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

Complete the fractions to make a true inequality, and explain your reasoning.

CLEAR CHECK

3

×

<

3

7

Step-by-step explanation:

Answer:

Total earning Kanica wants to make is at least $750

The commission she gets is 7.5 % Therefore to find the sales she should make we use :

(Total earnings * 100% )/ Commission

= (100 * 750) / 7.5

=75000/7.5

= $ 10,000

The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

It is given that:

Kanica wants to earn at least $750 this week in commission.

Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.

The value of x can be found as follows:

x = 750/(7.5%)

x = (750/7.5)x100

x = $10,000

Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.

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Cliff pays a total interest of approximately $679.90 on his $5,000 loan.

To calculate the total interest paid on the loan, we need to use the formula for compound interest:

\(A = P(1 + r/n)^{(nt)}\)

Where:

A is the final amount (loan amount + interest)

P is the principal (loan amount)

r is the annual interest rate (in decimal form)

n is the number of times interest is compounded per year

t is the number of years

Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:

P = $5,000

r = 7% = 0.07

n = 12 (monthly compounding)

t = 2 years

\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)

Calculating this expression:

A ≈ 5000\((1.00583)^{(24)\)

A ≈ 5000(1.13598)

A ≈ 5679.90

The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):

Total Interest = A - P

Total Interest = 5679.90 - 5000

Total Interest ≈ $679.90

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Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

For Alec's

\((x_1,y_1) = (0,3)\)

\((x_2,y_2) = (2,9)\)

So, the slope is:

\(m = \frac{9 - 3}{2 - 0}\)

\(m = \frac{6}{2}\)

\(m =3\)

For Beth's

\((x_1,y_1) = (5,17)\)

\((x_2,y_2) = (12,38)\)

So, the slope is:

\(m = \frac{38 - 17}{12 - 5}\)

\(m = \frac{21}{7}\)

\(m =3\)

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

\((x,y) = (0,3)\)

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\((x_1,y_1) = (5,17)\)

\((x_2,y_2) = (0,y)\)

So, we have:

\(3 =\frac{y - 17}{0 - 5}\)

\(3 =\frac{y - 17}{ - 5}\)

\(y - 17 = -15\)

\(y = 17 -15\)

\(y = 2\)

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

\(d = 3 - 2\)

\(d = 1\)

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

The displacements are 2.84 cm, 2.77 cm, 2.83 cm and 2.83 cm respectively.

Instantaneous velocity of the particle at t =,1 is 0.72 cm/s.

a. To find the displacement of the particle at various times t, we can simply plug the given value of t into the equation s = 2 sin(t) + 3 cos(t) and evaluate:

[1, 2]: s = 2 sin(1) + 3 cos(1) = 2.84 cm

[1, 1.1]: s = 2 sin(1.1) + 3 cos(1.1) = 2.77 cm

[1, 1.01]: s = 2 sin(1.01) + 3 cos(1.01) = 2.83 cm

[1, 1.001]: s = 2 sin(1.001) + 3 cos(1.001) = 2.83 cm

b. To find the instantaneous velocity of the particle when t = 1, we need to find the derivative of the equation for displacement with respect to time, which will give us the velocity. The derivative is given by:

v(t) = ds/dt = 2 cos(t) - 3 sin(t)

Plugging in t = 1 into this equation, we find:

v(1) = 2 cos(1) - 3 sin(1) = 0.72 cm/s

So, the instantaneous velocity of the particle at t = 1 is approximately 0.72 cm/s.

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Answer:

5

Step-by-step explanation:

sorry if wrong

The statement about the unit prices which is true is Kitty Kibbles has a lower unit price of $1.30/pound.

The correct answer choice is option D.

Cost of 16-pound bag of Kitty Kibbles = $20.80

Unit price of kitty kibbles = Price / number of pounds

= $20.80 / 16

= $1.30 per pound.

Cost of 8-pound bag of Feline flavor = $11.20

Unit price of feline flavor = Price / number of pounds

= $11.20 / 8

= $1.40 per pound

Ultimately, the unit price of kitty kibbles and feline flavor is $1.30 and $1.40 respectively.

Complete question:

A 16-pound bag of Kitty Kibbles is $20.80. An 8-pound bag of Feline Flavor is $11.20. Which statement about the unit prices is true?

A. Feline Flavor has a lower unit price of $1.40/pound.

B. Feline Flavor has a lower unit price of $1.30/pound.

C. Kitty Kibbles has a lower unit price of $1.40/pound.

D. Kitty Kibbles has a lower unit price of $1.30/pound.

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The 9th term of the given sequence is 78732.

The given sequence is 12, 36, 108... is a geometric sequence with a common ratio of 3.To find the 9th term of the given sequence, we will use the formula for the nth term of a geometric sequence, which is given by:

aₙ = a₁rⁿ⁻¹

Here, a₁ = 12 and r = 3.

Therefore, the formula for the nth term becomes:

aₙ = 12(3)ⁿ⁻¹

Now, we need to find the 9th term of the sequence. Hence, n = 9. Substituting the values of a₁ and r, and n in the formula, we get:

a₉ = 12(3)⁹⁻¹= 12(3)⁸= 12(6561)= 78732

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Answer:

where is the figure?

Step-by-step explanation:

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Answer:

a\(\geq\)-12 or -48\(\leq\)4a

Step-by-step explanation:

The answer to this integration is - \(\frac{u^{7} }{28} + c\) .

u = 3 + x⁴

differentiate both sides,

⇒ du = 0 + 4x³ dx

⇒ du = 4x³ dx

⇒\(dx = \frac{du}{4x^{3} }\)   ..........(1)

The integration is :

\(\int x^{3} ( 3 +x^{4} )^{6} dx\)

Substitute the values from equation (1)

= \(\int x^{3} u^{6} \frac{du}{4x^{3} }\)

= \(\frac{1}{4} \int u^{6} du\)

=\(\frac{1}{4} . \frac{u^{7} }{7} + c\) ( c = integration constant )

= \(\frac{u^{7} }{28} + c\)

Hence, the answer to this integration is - \(\frac{u^{7} }{28} + c\) .

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Suppose There are 2 persons A and B, Both showing their birthdays in February 28 days The probability of A having a birthday in February = is 28 because There is a total of 28 possibilities.

Now, the Probability of B having a birthday in February same day as A = \(\frac{1}{28}\) on Because of only one Possibility.

Hence, Probability = \(\frac{28}{28} *\frac{1}{28} = \frac{1}{28}\).

A theoretical method can be proof that something is happening or a generalization of why. Indeed all statements specifying what is being measured or described all general statements about cause or domain theory are at least implicitly based. Theoretical research is the logical examination of systems of beliefs and assumptions. This type of research involves theorizing or defining the behavior of cybersystems and their environments and investigating or enforcing the implications of that definition.

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Answer:

y = 7

Step-by-step explanation:

y = 3(2-1) 2 + 1

y = 3(1)(2) + 1

y = 6 + 1

y = 7

Answer:

D

Step-by-step explanation:

Goky kwiwiwjwjjwiwjwiw

Answer:

-11 to the power of 3

Step-by-step explanation:

Answer:

3.33

Step-by-step explanation:

1st get the line in point slope form (y = mx + b)

-2X + 3y + 3 = 0

3y = 2x - 3

y = (2/3)x - (3/3)

y = (2/3)x - 1   (slope = 2/3 and y-intercept is -1)

The distance from a point to a line is line segment starting at the point and perpendicular (shortest distance) to 1st line. A line perpendicular to the 1st line will have a negative inverse slope. So the line created in point slope form will look like

y = mx + b

y = (-3/2)x + b and using the given point (3,5)

5 = (-3/2)3 + b

5 - (-3/2)3 = b

5 + 9/2 = b

b = 19/2   So it's equation is

y = (-3/2)x + 19/2

At the point where the segment intersects the 1st line, that point must solve both equations, so we can set the equation equal to each other (both y's and both x's same).

(2/3)x -1 = (-3/2)x + 19/2

(2/3)x - (-3/2)x = 1 + 19/2

(2/3 + 3/2)x = 21/2

x = (21/2) / (2/3 + 3/2) = 4.846, now plug that into the 1st equation to get y

y = (2/3)x - 1

y = (2/3)4.846 - 1

y = 2.231 so the intersection point is (4.846,2.231) from (3,5).

Because of the pythagorean theorem (the two points form a right triangle) the distance will be

C**2 = A**2 + B**2

        = (4.846 - 3)**2 + (2.231 - 5)**2

        = 1.846**2 + (2.769)**2

   C     = 3.33

Answer:

\(\mathbf{V = \dfrac{16}{3}}\)

Step-by-step explanation:

From the information given:

A = (4,0,0)   B = (0,4,0)    C = (0,0,1)   D = (4,4,1)

\(\overline{ AB}\) = (0,4,0) - (4,0,0) = (-4, 4, 0)

\(\overline{ BC} =\) (0,0,1) - (0,4,0) = (0, -4, 1)

\(\overline{ CD}\) = (4,4,1) - (0,0,1) = (4, 4, 0)

The Volume of the tetrahedron \(V = \dfrac{1}{6} \bigg| AB \times BC \times CD \bigg|\)

The Volume of the tetrahedron \(V = \dfrac{1}{6} \left\begin{vmatrix}-4,&4&0\\0,&-4&1\\4&4&0\end{vmatrix}\right\)

\(V = \dfrac{1}{6}\bigg [ -4(-4 *0 - 1*4) -4(0*0-1*4) +0(0*4--4*4) \bigg ]\)

\(V = \dfrac{1}{6}\bigg [ -4(0 - 4) -4(0-4) +0(0+16) \bigg ]\)

\(V = \dfrac{1}{6}\bigg [ 16 + 16 +0 \bigg ]\)

\(V = \dfrac{1}{6}\bigg [ 32 \bigg ]\)

\(\mathbf{V = \dfrac{16}{3}}\)

After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:

Amount remaining = Initial amount × (1/2)^(number of half-lives)

In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.

So, the equation becomes:

Amount remaining = Initial amount × (1/2)^4

Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.

Simplifying the equation:

Amount remaining = Initial amount × (1/16)

Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.

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The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

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9514 1404 393

Answer:

  x + 3y = 9

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients. The new constant can be found by using the (x, y) values of the given point.

  x + 3y = (6 +3(1)) = 9

The equation of the parallel line is ...

  x + 3y = 9

The domain of F(d) is: {d ∈ R | d ≥ 0}

The domain is a mathematical concept that refers to the set of all possible input values (independent variables) for which a function is defined. In other words, the domain of a function is the range of values that can be used as input to the function.

Here we have

A large passenger airplane is making the 9,537-mile trip from New York to Singapore. During this flight, the plane will use 47,685 gallons of fuel or 5 gallons per mile of flight.

The function F(d) represents the amount of fuel, in gallons, consumed by the airplane on this trip after d miles of flight.

Therefore, we can express F(d) as:

F(d) = 5d

The domain of F(d) represents the set of all valid values of d for which the function is defined.

In this case, d represents the distance flown by airplane, and it must be a non-negative number since the plane cannot fly a negative distance.

Therefore,

The domain of F(d) is: {d ∈ R | d ≥ 0}

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Answer:

The estimated standard error is \(s_M = 1.065\).

The t statistic is \(t = 0.845\).

Step-by-step explanation:

The test statistic is:

\(t = \frac{X - \mu}{s_M}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s_M = \frac{s}{\sqrt{n}}\) is the standard error, s is the standard deviation and n is the size of the sample.

The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours.

This means that \(\mu = 16\)

Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours.

This means that \(n = 35, X = 16.9, s = \sqrt{39.7} = 6.30\)

The estimated standard error is:

\(s_M = \frac{s}{\sqrt{n}} = \frac{6.30}{\sqrt{35}} = 1.065\)

The estimated standard error is \(s_M = 1.065\).

Calculate the t statistic.

\(t = \frac{X - \mu}{s_M}\)

\(t = \frac{16.9 - 16}{1.065}\)

\(t = 0.845\)

The t statistic is \(t = 0.845\)

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

Let's assign variables to represent the statements:

q: The aquarium is full of fish.

r: There are penguins.

The compound statement "If there are penguins and the aquarium is full of fish, then this is an octopus" can be written in symbolic form as: r ∧ q → o

∧ represents the logical operator "and" which connects the statements r and q.

→ represents the logical operator "implies" or "if...then".

o represents the statement "this is an octopus".

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The range of a function is all the values that the function can take on the y-axis.

So, the y values of this function are between -9 and 5.

It means that the range is:

A. -9 < y < 5

The total surface area of the tomato ketchup given in the diagram can be determined as follows:

The total surface area of a shape is the addition of the areas of its individual surface.

So that the questions can be answered as thus:

A. To find the area of the given circle;

i. Area of a circle = \(\pi r^{2}\)

where r is the radius of the circle.

area of the circle = π\((2.5)^{2}\)

                            = 6.25\(\pi\)

ii. There are two identical circles in the cylinder.

iii. The total area of all circles = 2(6.25\(\pi\))

                                                 = 12.5\(\pi\) square inches

B. To find the area of the rectangle;

i. one side of the rectangle is 5 inches.

ii. The other side of the rectangle = 2\(\pi\)r

                                     = 2(2.5)\(\pi\)

                                     = 5\(\pi\) inches

iii. The area of the rectangle = l x b

                             = 5\(\pi\) x 5

                             = 25\(\pi\) square inches

C. Total surfce area of the cylinder = 5\(\pi\) + 25\(\pi\)

                                         = 30\(\pi\) square inches

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Answer:

Step-by-step explanation:

First box

6.25

2

12.5

------

Second box

------

5

5

25

------

Last box

------

37.5