Alice is building a​ fenced-in pen in her backyard for her ​dog, as shown. Write an expression that represents the total amount of fencing she will​ need, in feet. If the longer dimension of the rectangle is 27 ​feet, how many feet of fencing does Alice ​need? x plus 13 x Write an expression that represents the total amount of​ fencing, in feet. Choose the correct answer below. A. 4xplus26 Your answer is correct.B. 4xplus52 C. 2xplus26 D. 2xplus13 Alice needs nothing feet of fencing. Enter your answer in the answer box and then click

The p -value for the hypothesis test is; 0.4195

Let us first define the hypotheses.

We are told that the mean of u.s. college students in general, is estimated to be 4.73. Thus;

Null Hypothesis; H₀: μ = 4.73

Alternative Hypothesis; Hₐ: μ ≠ 4.73

Since we have the standard deviation for the sample, we will use the t-distribution with the formula;

t = (x' - μ)/(s/√n)

Where;

x' is the sample mean.

μ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

We are given;

x' = 5.11

μ = 4.73

s = 3.98

n = 52

Thus;

t = (5.11 - 4.73)/(3.98/√52)

t = 0.688

Using a t-distribution calculator, this p-value is 0.4195

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The graph of given inequalities is plotted on the number line is attached below.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequalities are x≥6 and 15.5>x.

The solution set of the inequality x≥6 is

{6, 7, 8, 9, 10, 11, 12, 13, 14,......}

Interval Notation: [6,∞)

x<15.5

Interval Notation: (−∞, 15.5)

Therefore, the solution set of the inequality x≥6 is {6, 7, 8, 9, 10, 11, 12, 13, 14,......}.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Answer:

lol you're correct. 4 is greater than -4

Step-by-step explanation:

Answer:

4>-4

Step-by-step explanation:

the number -4 has a negative symbol which means that is below than 0 and its below 4 so its less than 4

Answer:

  100 square inches

Step-by-step explanation:

The width of the shelf is BC = 20 - 10 = 10 inches.

The height of the shelf is AB = 30 - 10 = 20 inches.

The area of a triangle with these dimensions is ...

  A = (1/2)bh

  A = (1/2)(10 in)(20 in) = 100 in^2

The area of the shelf is 100 square inches.

Answer:

$1.30 or 130 cents

Step-by-step explanation:

You divide 91 by 14 to get the amount per ounce and you would get 6.5. Then you multiply that by 20 to get the new amount which is 130, or $1.30.

Answer:

Option (2)

Step-by-step explanation:

Standard form of the polynomial will be in the form of (ax⁴+ bx³+ cx²+ dx + e).

Which means exponents of each successive term will be in the reducing form and the last term will be a constant term.

Now we can rearrange the terms of the given polynomial (5x + 2x⁴ - 4) for the standard form.

(2x⁴ + 5x - 4)

Since, degree of the leading term = 4

And number of terms = 3

Given polynomial is a fourth degree trinomial.

Option (2) will be the answer.

Step-by-step explanation:

Q Nine divided by the product of a number and Five

Let the number = x

product of a number and Five = x * 5 = 5x

The expression is given as;

\(\frac{9}{5x}\)

Q2 The product of a sum and difference of x and y​

Sum of x and y = x + y

Difference of x and y = x - y

The expression is given as;

(x + y) * ( x -y)

x^2 + xy - xy - y^2

x^2   - y^2

She travels at a speed of 6 miles per hour to the library. She travels at a speed of 12 miles per hour on her way home. The residence and library are eight miles apart.

Given that,

Bree's journey from her house to the library and return is shown in the table below. She travels at a speed of 6 miles per hour to the library. She travels at a speed of 12 miles per hour on her way home. The journey takes two hours in total.

We have to find which equation can be used to calculate the mileage between Bree's home and the library in miles.

Two or more equations that can be solved to get a singular result are referred to as a system of equations. The equation's power must be in one degree.

From home to the library, it takes d/6 hours.

The journey from the library to home takes d/12 hours.

The equation is

d/6+d/12=2 hours

2d+d=24

3d=24

d=24/3

d=8

Therefore, The residence and library are eight miles apart.

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Each person would get 6 of the total amount or 37.5% of the total amount.

Ratio being: 3:8 of 16. we will get the answer as:

16/1 × 3/8

= 3×16/8×1

= 48/8

=6

In percentage it will be,

3/8 × 100 = 37.5%

A fraction is a numerical representation of a portion of a whole or a portion of a group. The total number of equally sized pieces into which the whole is divided is represented by the denominator. A ratio is a comparison between two values. Natural, whole, integer, rational, irrational, and complex numbers are the various categories into which the numbers are divided. Additionally, they include fractions, and the concept of ratios is one in which we apply fractions.

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Note that the full question is:

If there are 16 guests how many whould each person get if the ratio was 3:8

The answer to the trigonometry question in the picture attached is:

   = cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

Simplify 1-csc θ as follows:

1 - csc θ = (1 - csc θ)(1 + csc θ) / (1 + csc θ)

= 1 - csc^2 θ / (1 + csc θ)

= 1 - 1/sin^2 θ / (1 + 1/sin θ)

= 1 - sin^2 θ / (sin θ + 1)

= (sin θ - sin^2 θ) / (sin θ + 1)

Simplify 1+csc θ as follows:

1 + csc θ = (1 + csc θ)(1 - csc θ) / (1 - csc θ)

= 1 - csc^2 θ / (1 - csc θ)

= 1 - 1/sin^2 θ / (1 - 1/sin θ)

= 1 - sin^2 θ / (sin θ - 1)

= (sin θ + sin^2 θ) / (sin θ - 1)

Substitute the above simplifications in the expression cos θ/(1-csc θ) * 1+csc θ/(1+ csc θ) to get:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

Simplify the expression by canceling out the sin^2 θ terms:

cos θ / (sin θ - sin^2 θ) * (sin θ + sin^2 θ) / (sin θ + 1)

= cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

Simplify further by factoring out common terms in the numerator and denominator:

cos θ / (sin θ - sin^2 θ) * (1 + sin θ) / (sin θ + 1)

= cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

Finally, simplify the expression by factoring out a sin θ term from the denominator:

cos θ * (1 + sin θ) / [(sin θ - sin^2 θ) * (sin θ + 1)]

= cos θ * (1 + sin θ) / [sin θ * (1 - sin θ) * (sin θ + 1)]

= cos θ / [sin θ * (1 - sin θ)] * (1 + sin θ)

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The difference between the amount paid by the company and the premium contribution is given as follows:

FRW 1 298 400.

The difference is obtained applying the proportions in the context of the problem, which is the yearly payment, for the time.

The insurance was purchased on the 25th birthday, and the person died with 65 years old, hence the time period is given as follows:

65 - 25 = 40 years.

He paid a premium of 35 740 FRW yearly, hence the total amount paid is given as follows:

40 x 35 740 = 1,429,600.

A man took a life insurance policy for 2 728 000 FRW on his 25th birthday, hence the difference is calculated as follows:

2,728,000 - 1,429,600 = FRW 1 298 400.

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The number of unique combinations that can be formed by picking one object from each set is =960. That is option C.

Number combination is a mathematical technique that shows the number of possible arrangements in a collection of items.

The first set of objects = 4. There are a total of 4 possibilities.

The second set of objects = 5. There are a total of 5 possibilities

Therefore from first and second set, the total number of possibilities = 4×5 = 20

For the whole set, the total possibilities;

= 4×5×6×8

= 960

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Answer:I think its 2x-5/3

Step-by-step explanation:

please let me know if I'm wrong.

Answer:

The fraction 49/35 reduced is: 1  14/35

Step-by-step explanation:

The probabilities of an exponentially distributed random variable:

For B = 2, P(0 < X < 1) = 0.865 and P(-1 < X < 2) = 0.593

For B = 8, P(0 < X < 1/4) = 0.393 and P(-3/4 < X < 1/2) = 0.795.

1. Value of the median as a function of B

The median is the value at which the cumulative distribution function F(x) is equal to 0.5.

In other words, if X is the random variable, then the median is the value m such that F(m) = 0.5.

We know that the cumulative distribution function of an exponentially distributed random variable with parameter B is given by:

F(x) = 1 - e^(-Bx)

Therefore, we need to find the value m such that:

F(m) = 1 - e^(-Bm) = 0.5

Solving for m, we get:

e^(-Bm) = 0.5

=> -Bm = ln(0.5)

=> m = -ln(0.5)/B

So, the value of the median as a function of B is given by:

m(B) = -ln(0.5)/B = (ln 2)/B2.

Probability of X falling within 1 standard deviation and 2 standard deviations of the meanLet μ be the mean of the exponential distribution with parameter B.

Then, μ = 1/B. Also, the variance of the distribution is given by σ² = 1/B².

The standard deviation is then: σ = √(σ²) = 1/B.

1 standard deviation from the mean is given by:

μ± σ = (1/B) ± (1/B) = (2/B)

and 2 standard deviations from the mean is given by:

μ ± 2σ = (1/B) ± (2/B)

= (3/B)

and (1/B) - (2/B) = (-1/B).

Therefore, the probability of X falling within 1 standard deviation of the mean is:

P((μ - σ) < X < (μ + σ))

= P((2/B) < X < (2/B))

= F(2/B) - F(2/B)

= 0

And the probability of X falling within 2 standard deviations of the mean is:

P((μ - 2σ) < X < (μ + 2σ))

= P((3/B) < X < (1/B))

= F(1/B) - F(3/B)

= e^(-1) - e^(-3)

≈ 0.318

For B = 2, we get: μ = 1/2 and σ = 1/2.

Therefore, the probabilities are:

P(0 < X < 1) = F(1) - F(0)

= (1 - e^(-2)) - (1 - e^0)

= e^0 - e^(-2) ≈ 0.865

P(-1 < X < 2) = F(2) - F(-1)

= (1 - e^(-4)) - (1 - e^(2))

≈ 0.593

For B = 8, we get: μ = 1/8 and σ = 1/8.

Therefore, the probabilities are:

P(0 < X < 1/4) = F(1/4) - F(0)

= (1 - e^(-1/2)) - (1 - e^0)

≈ 0.393

P(-3/4 < X < 1/2)

= F(1/2) - F(-3/4)

= (1 - e^(-1/4)) - (1 - e^(3/2))

≈ 0.795

Therefore, the probabilities of an exponentially distributed random variable falling within 1 standard deviation and 2 standard deviations of the mean, evaluated for B of 2 and 8 respectively are:

For B = 2, P(0 < X < 1) = 0.865 and P(-1 < X < 2) = 0.593

For B = 8, P(0 < X < 1/4) = 0.393 and P(-3/4 < X < 1/2) = 0.795.

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Answer:

3

Step-by-step explanation:

The statement "the ordinary least square estimators have the smallest variance among all the unbiased estimators" is true.

The ordinary least squares (OLS) estimator is a widely used method to

estimate the coefficients in linear regression models. OLS estimators are unbiased, which means that they provide estimates of the true coefficients that are, on average, equal to the true values.

It can be proven mathematically that among all the unbiased linear estimators, OLS estimators have the smallest variance. This property is known as the Gauss-Markov theorem. Therefore, OLS estimators are not only unbiased but also efficient, which makes them desirable for estimating linear regression models.

So, the statement "the ordinary least square estimators have the smallest variance among all the unbiased estimators" is true.

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9514 1404 393

Answer:

Step-by-step explanation:

The area is the same, regardless of which side is considered the "base"

  A = bh

__

1. A = 8×14 = 10h

  h = 8×14/10

  h = 11.2

__

2. A = 0.3×0.4 = 0.5h

  h = 0.3×0.4/0.5

  h = 0.24

T is a point in the line segment SU

SU = ST + TU

SU = 4x

ST = 2x + 6

TU = 4

\(4x =( 2x + 6 )+ 4 \\ 4x = 2x + 10 \\ 4x - 2x = 10 \\ 2x = 10 \\ x = \frac{10}{2} \\ \\ x = 5\)

x = 5

ST = 2x + 6 = (5×2) + 6

HOPE THIS WILL HELP....

Answer:

1.54 and 1.7 I believe

Step-by-step explanation:

Answer:

The full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds

Step-by-step explanation:

To find how many pounds each tire is, divide the weight in grams by 453.592

Full steel tire:

800/453.592 = 1.76 pounds

Lighter wheel:

700/453.592 = 1.54 pounds

So, the full steel tire is 1.76 pounds and the lighter wheel is 1.54 pounds

According to the given information, the equation represents a line that is tangent to the circle and goes through the point W is given by:

y = -x + 6.

The equation of a circle of center \((x_0,y_0)\) and radius r is given by:

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem, we have that the center is at point (0,2), hence:

\(x^2 + (y - 2)^2 = r^2\)

It goes through point (3,3), hence:

\(3^2 + (3 - 2)^2 = r^2\)

\(r^2 = 10\)

Hence, the equation is:

\(x^2 + (y - 2)^2 = 10\)

It is given by:

\(y - y(0) = \frac{dy}{dx}|_{W}(x - x(0))\)

Applying implicit differentiation, we have that:

\(2x + 2y\frac{dy}{dy} = 0\)

\(\frac{dy}{dx} = -\frac{x}{y}\)

Point W(3,3), hence:

\((x_0, y_0) = (3,3)\)

\(\frac{dy}{dx} = -\frac{3}{3} = -1\)

Hence the equation is:

y - 3 = -(x - 3).

y = -x + 6.

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Answer:

y³

Step-by-step explanation:

the answer should be three as 27÷3 is 9 the end product..

mark me brainliest

Answer:

Step-by-step explanation:

x=(115cos50+160cos130)=-28.9254

y=(115sin50+160sin130)=210.6622

m^2=x^2+y^2

m=212.64

angle=180+arctan(y/x)

angle=97.82

v=212.64 at 97.82 degrees

Step-by-step explanation:

use the conversation factor, 1mile equals 1.609km

The gas mileage of a 2019 vehicle must be higher than approximately 35 miles per gallon (mpg) to fall in the top 15% of all vehicles.

To explain further, if we consider the gas mileage of all 2019 vehicles, we can arrange them in ascending order. The top 15% would represent the highest gas mileage values. By finding the value at which 15% of the vehicles have a lower gas mileage, we can determine that it is around 35 mpg. Any vehicle with a gas mileage higher than this would fall in the top 15% in terms of fuel efficiency.

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Answer:

A. Right a multiple of 2 and up a multiple of 1.

B. (2, 1)

C. the same

Step-by-step explanation:

A. The original point was (2, 1), so if Larissa moves right a multiple of 2 and up a multiple of 1, she'll stay within the ratio.

B. We already know this is proportional, since it goes through the origin; the line just has to pass through the right point: (2,1)

C. The line will be proportional, so as long x is twice as much as y, Larissa will have the same shade of green paint every time.

Step-by-step explanation:

I guess method 1 means to deal with whole factors.

x + 5 = (x - 2)(x + 5)

for (x + 5) <> 0 we can divide both sides by this factor :

1 = x - 2

x = 3

for the second solution we deal with

x + 5 = 0

x = -5

so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.

method 2 : we multiply the expression out and solve it then

x + 5 = (x - 2)(x + 5)

x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10

0 = x² + 2x - 15

the general solution to such a square equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -15

x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =

= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =

= -1 ± 4

x1 = -1 + 4 = 3

x2 = -1 - 4 = -5

and you get the 2 solutions again. as expected, they are the same as with method 1, of course.