In the last couple of months, Jack has seen rabbits in his backyard on
12 days and no rabbits on 36 days. What is the approximate probability
that he will see rabbits in his yard tomorrow?

Answer:

logically cp =25%less than mp

After solving the length of BM is 4 cm.

As we know from the question;

AB = 8cm

DL ⊥ AB

BM ⊥ AD

DL = 5cm

AD = 10cm

Think about the parallelogram ABCD now.

Here, let AB be the parallelogram's base and DL be its altitude (height).

The parallelogram's area is determined by: Base × Height

Area of ‖gm ABCD = AB × DL

Area of ‖gm ABCD = 8 × 5

Area of ‖gm ABCD = 40cm²

Now,

Think of AD as the parallelogram's base, and BM as its altitude (height).

area of ‖gm ABCD = AD × BM

10 × BM = 40cm²

Divide by 10 on both side,

BM = 40/10

BM = 4cm

length of BM = 4cm.

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The complete question is:

In ‖gm ABCD, it is given that AB = 8cm, DL ⊥ AB and BM ⊥ AD such that DL = 5cm and AD = 10cm. Then, BM = ?

Answer:

2/x

Step-by-step explanation:

The easy way:

take point (2,1) on graph g

subst the values into g(x)=a/x

1=a/2

a=2

thus -> 2/x

The value of a is 2 for the transformed function g(x) = a/x.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of a is calculated as,

Take point (2,1) on graph g and substitute the values into g(x)=a/x

1=a/2

a=2

Therefore, the value of a is 2 for the transformed function g(x) = a/x.

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Answer:

Step-by-step explanation:

It is not correct. Carmen should know that the approximate future value is near 16% more than the initial value. It won't be anywhere close to 221 million dollars.

__

Carmen apparently used i = 3.15/4 in his formula instead of i = 0.0315/4. Using the correct value, the future value would be ...

  FV = 2000(1 +0.0315/4)^(4·5) = $2,339.72

y = cos(x - π) - 5/2 is the equation for the given function with the given characteristics of cosine curve.

The resulting graph will be a cosine curve that oscillates between a maximum value of -3/2 and a minimum value of -7/2, centered around the midline y = -5/2, with a period of π and a left phase shift of π. The equation for a cosine curve with a period of π, an amplitude of 1, and a left phase shift of π is:

y = cos(x - π)

To incorporate the vertical translation down by 5/2 units, we can simply subtract this value from the entire function:

y = cos(x - π) - 5/2

This equation will shift the cosine curve to the left by π units, meaning it will start at x = 0 and have a peek at x = π/2. It will also have an amplitude of 1, meaning the maximum and minimum values of the function will be 1 unit above and below the midline, respectively. Finally, the vertical translation down by 5/2 units will shift the entire function downward by that amount.

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Answer:

D. y = 4cos(x+pi/2) - 2

Here are the answers for the rest of the assignment:

*I'll group each question with brackets

(A. y = cos(2x) - 2

B. y = cos(x) - 3)

(B. 48

C. 28

B. 48)

(B. 9, B. 28

B. 4, C. 22)

(A. y = 4cos(pi/2x - pi/2) + 6)

(B. 11

B. 31)

(A. f(x) = 30sin(140piT) + 90)

Step-by-step explanation:

I had the assignment and all these answers are correct, enjoy :)

The cost of each item, obtained from the equation for the sum of the costs of the item are;

A brush costs $3.5

A sketchbook costs $10.5

A paint set costs $21

An equation is a mathematical statement that expresses equivalence between two expression joined by an '=' sign.

The amount Camille brought to the art supply = $39.50

The cost of the brush = (1/3) × The cost of the sketchbook

Cost of the sketchbook = (1/2) × Cost of the paint set

Amunt Camille had left over = $4.50

The cost of the items Camille bought = $39.50 - $4.5 = $35

Let x represent the cost of the brush, let y represent the cost of the sketchbook and let z represent the cost of the paint set

Therefore, we get the following equation; x + y + z = 35

x = (1/3)·y

y = (1/2)·z

Which indicates;

x = (1/3) × (1/2)·z = (1/6)·z

From which we get; (1/6)·z + (1/2)·z + z = 35

(5/3)·z = 3

z = 35 × 3/5 = 21

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Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

The surface area of the prism is 776 ft²

A prism is a solid shape that is bound on all its sides by plane faces.

The surface area of a prism is expressed as;

SA = 2B + pH

where p is the perimeter of the base , B is the base area and h is the height of the prism.

Base area = 1/2( a+b) h

= 1/2 × ( 20+8) 12

= 28 × 6

= 168 ft²

Perimeter of the base = 20+8 +15 + 12

= 55 ft

height = 8 ft

Therefore;

SA = 2 × 168 + 55× 8

SA = 336 + 440

SA = 776 ft²

The surface area of the prism is 776 ft²

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An example of a rational function is the first equation given, f(x)=3x²+1 over x-1.

A rational function is a type of function that can be expressed as the ratio of two polynomials. In this equation, the numerator is a polynomial of degree 2 (3x²+1), and the denominator is a polynomial of degree 1

(x-1).

The second equation given, x over 3 = 8 over 3, is not an example of a rational function. This equation is a rational expression, which is an expression that is the ratio of two polynomials, but it is not a function because it does not map a single input to a single output.

The third equation given, 1 over 3x-1 +3<0, is not an example of a rational function either. This equation is an inequality, not a function, and it does not have a ratio of two polynomials.

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The probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.

In the question Justin has a bird feeder which gets visited by an average of 18 birds every 2 hours during daylight hours and we have to find what is the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours.

This can be calculated using the Poisson distribution formula, P(X > 5) = 1 - P(X ≤ 5).

P(X > 5) = 1 - P(X ≤ 5)

= 1 - (P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5))

= 1 - (0.0022 + 0.0133 + 0.0514 + 0.1245 + 0.2141 + 0.2769)

= 0.8351

Therefore, the probability that the bird feeder will be visited by more than 5 birds in a 40 minute period during daylight hours is 0.835.

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Answer:

Hi there!

Your answer is:

y= -4x + 2

Step-by-step explanation:

12x +3y = 6

-12x

3y = -12x+6

/3

y = -12/3x + 6/3

Simplify

y= -4x + 2

\(\text {Hey! Let's Solve this Equation!}\)

\(\text {\underline {To Solve this Eqaution you Add -12x}}\)

\(\text {12x+3y+-12x=6+-12x}\)

\(\text {\underline {The Final Step is to Divide 12}}\)

\(\text {3y/3=-12x+6/3}\)

\(\text {Your Answer Would Be:}\)

\(\fbox {y=-4x+2}\)

\(\text {Best of Luck!}\)

Answer:

Step-by-step explanation:

5/8

you need to add all numerators, same denominator

5/8 because the denominator is the same, so you can just add 1+1+1+1+1 and put that over 8 (confusing)

The equation of the straight line will be -

y = -x + 3

        y = mx + c

        for c = 0

       y = mx

        [m] = Δy/Δx, represents the rate of change or slope of the line.

Given is a line that passes through the point (-12, 15) with slope -1.

Assume the equation to be -

y = mx + c

y = -x + c

15 = - (-12) + c

15 - 12 = c

c = 3

So, the equation will be -

y = -x + 3

Therefore, the equation of the straight line will be -

y = -x + 3

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that is not important when estimating population properties using sample data, as even minor issues can significantly impact the accuracy of estimates.

One important issue affecting our ability to estimate the properties of a population when using only sample data is the representativeness of the sample. If the sample is not a good representation of the population, then the estimates based on the sample data may not accurately reflect the true properties of the population. Other factors that can affect estimates' accuracy include the sample size and the sampling method used. However, it is difficult to identify issues that are not important when estimating population properties using sample data, as even minor issues can significantly impact the accuracy of estimates.
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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

36, 44, 52

Step-by-step explanation:

Just add 8 to 28 = 36

Add 8 to 36 = 44

Add 8 to 44 = 52

Answer:

36, 44, 52

Step-by-step explanation:

give me that brailyest

To determine if a line is parallel or perpendicular, we can place each line on a sloped intersection shape (y = mx + b) and observe the slope m of each line. Equal slopes result in parallel lines. If the slope is multiplied by -1, then the line is vertical.

Parallel Lines:

Two or more lines that lie in the same plane and do not intersect are called parallel lines. They are equidistant from each other and have the same slope. A straight line equation is usually written in the form of a slope intercept represented by the equation y = mx + b. where "m" is the slope and "b" is the y-intercept. The "m" value defines the slope and tells how steep the line is.

Perpendicular Lines:

A vertical line or perpendicular line is two separate lines that intersect at an angle of 90° to each other. These are straight lines known as perpendiculars that meet each other at certain angles (right angles).

We have already seen what a vertical line looks like. If a shape has an "L" shape, its vertex angles are right angles. Vertical lines always intersect each other, but not all intersecting lines are always perpendicular to each other.

Two main properties of vertical lines:

1. Perpendicular lines always intersect or intersect each other.

2. The angle between two vertical lines is always 90°.

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The probability that the battery fails before the one-year warranty expires on the computer is 0.0041. So, option e) is correct.

Let X be the length of the life (in years) of a battery for a computer that has a distribution that can be described by the pdf:

\(f(x)=\frac{x}{121} e^\frac{-x^2}{242}\).

We need to find the probability that the battery fails before the one-year warranty expires on the computer, that is P[X<1].

\(P[X<1]=\int\limits^1_0 {f(x)} \, dx\).

Substitute the value of f(x) in the integral above.

\(P[X<1]=\int\limits^1_0 {\frac{x}{121} e^\frac{-x^2}{242}} \, dx\).

Let \(\frac{-x^2}{242}=t\).

Differentiate both sides to get xdx/121=dt.

Thus, we have that:

\(P[X < 1]=\int\limits^1_0 {\frac{x}{121} e^\frac{-x^2}{242}} \, dx\\P[X < 1]=\int\limits^\frac{1}{242} _0 {e^{-t} } \, dt\\ P[X < 1]=-[e^{\frac{-1}{242}}-1]\\P[X < 1]=1-e^{\frac{-1}{242}}\\ P[X < 1]=0.0041\)

Thus, option e) is correct.

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Answer:

x = 3  x = 5

Step-by-step explanation:

The larger cube's volume is 5.08 cm³.

As per the given information, expressing the relation between the mass of iron cubes -

Mass of large iron cube = 2×mass of small cube

Mass of large iron cube = 2×20

Performing multiplication to find the mass

Mass of large iron cube = 40 grams

Now calculating the volume of large iron -

Density = mass ÷ volume

Keep the values in formula to find the volume of cube -

Volume = mass ÷ density

Volume = 40 ÷ 7.87

Performing division to find the volume of cube -

Volume = 5.08 cm³

Hence, the volume of larger iron cube is 5.08 cm³.

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The value today of a money machine is $4,712.25. The value of the investment is $31,323.15.

Question 9:

To calculate the present value of the money machine, we can use the formula for the present value of an ordinary annuity:

PV = P * [(1 - (1 + r)^(-n)) / r],

where PV is the present value, P is the annual payment, r is the interest rate per period, and n is the number of periods.

Given:

Annual payment (P) = $1000,

Interest rate per period (r) = 4% = 0.04,

Number of periods (n) = 6 - 2 = 4.

Plugging in the values, we get:

PV = $1000 * [(1 - (1 + 0.04)^(-4)) / 0.04] = $4712.25.

Therefore, the value today of the money machine is $4712.25.

Question 10:

To calculate the present value of the investment, we can use the formula for the present value of a perpetuity:

PV = P / r,

where PV is the present value, P is the periodic payment, and r is the interest rate per period.

Given:

Periodic payment (P) = $500,

Interest rate per period (r) = 12% / 12 = 0.12 / 12 = 0.01.

Plugging in the values, we get:

PV = $500 / 0.01 = $31,500.

Therefore, the value of the investment today is $31,323.15.

In summary, the value today of the money machine that will pay $1000 per year for 6 years is $4712.25, and the value of the investment that will pay $500 per month starting four years from today and continue indefinitely is $31,323.15.

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The volume generated by rotating the region bounded by the curves y = x and x = 4y about the axis x = 17 can be found using the method of cylindrical shells.

To start, let's consider a vertical strip in the region, parallel to the y-axis, with a width dy. As we rotate this strip around the axis x = 17, it creates a cylindrical shell. The radius of each shell is given by the distance between the axis of rotation (x = 17) and the curve y = x or y = x/4, depending on the region. The height of each shell is given by the difference between the curves y = x and y = x/4.

We can express the radius as r = 17 - y and the height as h = x - x/4 = 3x/4. The circumference of each cylindrical shell is given by 2πr, and the volume of each shell is given by 2πrhdy. Integrating the volumes of all the shells over the appropriate range of y will give us the total volume.

By setting up and evaluating the integral, we can find the volume generated by rotating the region about the axis x = 17 using the method of cylindrical shells.

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Answer: To find the area of the white part of the billboard, we first need to find the area of the entire billboard and then subtract the area of the non-white part.

The area of a triangle can be found using the formula:

Area = (1/2) x base x height

In this case, the white part of the billboard is a right-angled triangle with a height of 4 ft and a base of 2.5 ft (half of the total base of 4.5 ft).

The area of the entire billboard is:

Area = (1/2) x base x height

Area = (1/2) x 4.5 ft x 4 ft

Area = 9 ft²

The area of the non-white part of the billboard is:

Area = (1/2) x base x height

Area = (1/2) x 2.5 ft x 4 ft

Area = 5 ft²

Therefore, the area of the white part of the billboard is:

Area of white part = Total area - Area of non-white part

Area of white part = 9 ft² - 5 ft²

Area of white part = 4 ft²

So the area of the white part of the billboard is 4 square feet.

Step-by-step explanation:

Answer:

hard

Step-by-step explanation:

I have never seen this before

Answer:

n + (n + 1) = -33

Step-by-step explanation:

First integer = n (given)

Therefore, second integer = (n + 1)

According to the given information:

n + (n + 1) = - 33

(a) The point estimate of p is approximately 0.3945.

(b) To find 90% and a 95% confidence intervals for p the sample size is not provided in the question.

(c)  To estimate p within 0.04 of the unknown p with 90% confidence, a sample size of approximately 83,270

(a) The point estimate of p, denoted as ˆp, is the proportion of infected birds in the sample. In this case, out of the 137 examined birds, 54 were infected. Therefore, the point estimate is:

ˆp = Number of infected birds / Total number of examined birds = 54 / 137 ≈ 0.3945

So, the point estimate of p is approximately 0.3945.

(b) To find the confidence intervals for p, we can use the formula for a confidence interval for a proportion:

ˆp ± z * sqrt( ˆp(1 - ˆp) / n )

where ˆp is the point estimate, z is the critical value for the desired confidence level, sqrt is the square root, and n is the sample size.

For a 90% confidence interval, the critical value z is approximately 1.645.

90% confidence interval:

ˆp ± 1.645 * sqrt( ˆp(1 - ˆp) / n )

For a 95% confidence interval, the critical value z is approximately 1.96.

95% confidence interval:

ˆp ± 1.96 * sqrt( ˆp(1 - ˆp) / n )

To calculate the confidence intervals, we need to know the sample size (n). However, the sample size is not provided in the question.

(c) To determine the sample size (n) for a desired margin of error (0.04) and a 90% confidence level, we can use the formula:

n = (z^2 * ˆp(1 - ˆp)) / (E^2)

where z is the critical value for the desired confidence level, ˆp is the point estimate, and E is the margin of error.

Plugging in the values:

n = (\(1.645^2\) * 0.3945(1 - 0.3945)) / (\(0.04^2\))

n ≈ 133.2325 / 0.0016

n ≈ 83,270

Therefore, to estimate p within 0.04 of the unknown p with 90% confidence, a sample size of approximately 83,270 would be required.

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4.5 is not greater than 45. Then the incorrect option is D.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The absolute value of negative 4.5 will be 4.5.

|-4.5| = 4.5

Then we have

A. |-4.5| = 4.5

      4.5 = 4.5

B. |0| < |-45|

     0 < 4.5

C. |45| > 0

     45 > 0

D. |4.5| > |-45|

     4.5 \(\ngtr\) 45

Then the incorrect option is D.

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Answer:

2.83

Step-by-step explanation:

The square root of 8 rounded to the nearest hundredth is 2.83

Answer:

13. 3

14. 13

15. 17

16. 19

17. 20

18. 10

Step-by-step explanation:

The system of equations:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

We have the equation:

3x + y = 4

Now we want to find an equation of a line such that if we make a system of equations, the system will have infinite solutions.

The system of equations will have infinite solutions only if both equations represent the same line, then we can rewrite our line like

3x + y = 4

If we multiply both sides by 2

2*(3x + y) = 2*4

6x + 2y = 8

And we can move some terms to get:

2y = -6x + 8

Then the system:

3x + y = 4

2y = -6x + 8

Has infinite solutions.

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The type of sampling used in this scenario is a multistage cluster sampling. In this type the population is divided into clusters or groups.

In multistage cluster sampling, the population is divided into clusters or groups, and a sample is taken from each cluster. In this case, the clusters are the states, and a simple random sample of four states is selected.

Within each selected state, another level of sampling occurs where two colleges or universities are randomly selected from each state. This forms the second stage of sampling.

Finally, from each of the eight selected colleges or universities, a simple random sample of 20 undergraduates is taken. This forms the third stage of sampling.

By combining these stages, a final sample of 160 undergraduates is obtained.

Multistage cluster sampling is commonly used when the population is large and geographically dispersed. It offers a practical approach to obtain a representative sample by selecting clusters at different stages, which helps to reduce time, cost, and logistical challenges.

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