Can someone help me out please

Answer:

16°F

Step-by-step explanation:

The temperature is −4°F. What will the temperature be if the temperature rises 20°F?

-4 + 20 = 16

so:

16°F

Based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.

To test the claim that the coin is fair against the two-sided claim that it is not fair, we can use a hypothesis test. The null hypothesis (H0) assumes that the coin is fair, and the alternative hypothesis (H1) assumes that the coin is not fair.

Null hypothesis (H0): The coin is fair.

Alternative hypothesis (H1): The coin is not fair.

Given that the experimenter flipped the coin 100 times and obtained 34 heads, we can calculate the observed proportion of heads (p) in the sample:

p = 34/100 = 0.34

To conduct the hypothesis test at a significance level of α = 0.01, we will use the chi-square test statistic. The test statistic is calculated as follows:

χ² = (observed - expected)² / expected

For a fair coin, the expected probability of getting a head is 0.5, and the expected number of heads in 100 flips would be:

expected = 0.5 * 100 = 50

Now, let's calculate the chi-square test statistic:

χ² = (34 - 50)² / 50 + (66 - 50)² / 50

= (-16)² / 50 + (16)² / 50

= 256 / 50 + 256 / 50

= 5.12 + 5.12

= 10.24

The degrees of freedom (df) for this test are df = 1 (since we have two possible outcomes: heads or tails) and the critical value for a two-sided test at α = 0.01 with df = 1 is approximately 6.63.

Since the test statistic (10.24) is greater than the critical value (6.63), we reject the null hypothesis (H0) at the α = 0.01 level. We have sufficient evidence to conclude that the coin is not fair.

Therefore, based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.

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Answer:

y=-4x-3

Step-by-step explanation:

y=mx+b

y=b=-3 ( y intercept is when x=0, then y=b=-3)

y=-4x-3

Answer:

9

Step-by-step explanation:

IL and KL have the same length so we can set them equal.

3x = x+6

Subtract x from each side.

3x-x = x+6-x

2x = 6

Divide by 2.

2x/2 = 6/2

x=3

KL = x+6

     =3+6

    = 9

The Laplace transform of the constant function f(t) = 3 is F(s) = 3/s.

The Laplace transform of the function g(t) = t is G(s) = 1/s^2.

The Laplace transform of the function h(t) = -5t is H(s) = -5/s^2.

The Laplace transform of the function k(t) = t^5 is K(s) = 120/s^6.

To find the Laplace transform of the constant function f(t) = 3, we use the definition of the Laplace transform:

F(s) = ∫[0 to ∞] e^(-st) * f(t) dt.

Plugging in the given function f(t) = 3, we have:

F(s) = ∫[0 to ∞] e^(-st) * 3 dt.

Since 3 is a constant, it can be taken out of the integral:

F(s) = 3 * ∫[0 to ∞] e^(-st) dt.

The integral of e^(-st) with respect to t is -1/s * e^(-st).

Evaluating the integral from 0 to ∞ gives us:

F(s) = 3 * [-1/s * e^(-s∞) - (-1/s * e^(-s0))].

Since e^(-s∞) approaches 0 as t approaches infinity, we have:

F(s) = 3 * [-1/s * 0 - (-1/s * e^(0))].

Simplifying further:

F(s) = 3 * [0 - (-1/s)] = 3/s.

To find the Laplace transform of the function g(t) = t, we again use the definition of the Laplace transform:

G(s) = ∫[0 to ∞] e^(-st) * g(t) dt.

Plugging in the given function g(t) = t, we have:

G(s) = ∫[0 to ∞] e^(-st) * t dt.

We can integrate by parts using the formula ∫u * dv = u * v - ∫v * du.

Let u = t and dv = e^(-st) dt. Then, du = dt and v = -1/s * e^(-st).

Applying the formula, we get:

G(s) = [-t * 1/s * e^(-st)] - ∫[-1/s * e^(-st) * dt].

Simplifying further:

G(s) = -t/s * e^(-st) + 1/s ∫e^(-st) dt.

The integral of e^(-st) with respect to t is -1/s * e^(-st).

Substituting this back into the equation, we have:

G(s) = -t/s * e^(-st) + 1/s * [-1/s * e^(-st)].

Simplifying further:

G(s) = -t/s * e^(-st) - 1/s^2 * e^(-st).

Factoring out e^(-st):

G(s) = e^(-st) * (-t/s - 1/s^2).

Rearranging terms:

G(s) = (-t - s) / (s^2).

This can be further simplified to:

G(s) = 1/s^

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The standard form of the equation of line will be;

⇒ 11x + 3y = 9

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The equation of line is,

y = -11/3 x + 3

Since, The standard form of the equation of line will be;

Ax + By = C

Where, A, B and C are integers.

Now, We convert the equation of line in standard form as;

The equation of line is,

y = -11/3 x + 3

Multiply by 3 in both sides,

3 × y = 3 (-11/3 x + 3)

3y = 3 × -11/3 x + 3 × 3

3y = - 11x + 9

3y = - 11x + 9

Add 11x both side;

11x + 3y = - 11x + 9 + 11x

11x + 3y = 9

Thus,

The standard form of the equation of line will be;

⇒ 11x + 3y = 9

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Answer:

\(SU = 20\)

Step-by-step explanation:

Given

Triangle TSU

Bisector TX

Required

Length of SU

A line is said to be a perpendicular bisector if and only if it divides a line segment into two equal lengths;

This means that line TX divides line SU into two equal part.

This implies that

\(SU = SX + UX\)

and

\(SX = UX\)

Substitute \(SX = UX\); The expression becomes

\(SU = UX + UX\)

Recall that \(UX = 10\);

So, the above expression becomes

\(SU = 10 + 10\)

\(SU = 20\)

Hence, the length of is 20

Answer:

A 90 degrees because the triangle is at a right angle and to rotate it counter clockwise

The answer is letter B. 180

she goes 252 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Olivia drives 35 mph for 7.2 hours

i.e. she go = 35*7.2

                 =252miles.

hence, she goes 252 miles.

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x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

Using the given natural abundances of titanium-46, titanium-47, and titanium-48, we find that the average atomic mass of titanium on this planet is approximately 46.4 amu.

To calculate the average atomic mass of titanium on another planet, we need to consider the natural abundances of its isotopes. The average atomic mass is calculated by multiplying the mass of each isotope by its relative abundance and summing up these values.

Let's assume that the three isotopes of titanium on this planet are denoted as titanium-46, titanium-47, and titanium-48. The natural abundances of these isotopes are given as follows:

Isotope Natural Abundance

Titanium-46 70%

Titanium-47 20%

Titanium-48 10%

To calculate the average atomic mass, we multiply the mass of each isotope by its relative abundance and sum up these values. The atomic masses of titanium-46, titanium-47, and titanium-48 are approximately 46.0 amu, 47.0 amu, and 48.0 amu, respectively.

Average Atomic Mass of Titanium:

(46.0amu×70%)+(47.0amu×20%)+(48.0amu×10%)

=(32.2amu)+(9.4amu)+(4.8amu)

=46.4amu

Therefore, the average atomic mass of titanium on this planet is approximately 46.4 atomic mass units (amu).

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Using line tangent, the approximation for f(2.1) is 3.95

Given,

The point (a, f(a)) is on the line tangent to the graph of y = f(x) at x = a, which has a slope of f'(a).

The equation be like;

y - f(a) / (x - a) = f'(a)

y = f'(a) (x - a) + f(a)

Using the provided data and a = 2, we can determine that the tangent line to the graph of y = f(x) at x = 2 has equation

y = f'(2) (x - 2) + f(2)

y = -1/2 (x - 2) + 4

To compute a "approximation of f(2.1) using the line tangent to the graph of f at x = 2," one must substitute x = 2.1 for f in the equation for the tangent line (2.1). You get 2.1 when you plug this in.

y = -1/2 (x - 2) + 4

y = -1/2 (2.1 - 2) + 4

y = -1/2 x 0.1 + 4

y = 3.95

That is,

The approximation for f(2.1) using line tangent is 3.95

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According to the Question, The interest earned in 4 years is $1,954.83.

What is compounded quarterly?

A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.

The principal is $10,000.

The annual interest rate is 4.5%, which is compounded quarterly.

Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.

The formula for calculating the future value of a deposit with quarterly compounding is:

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

Where P is the principal

The annual interest rate is the number of times the interest is compounded in a year (4 in this case)

t is the number of years

The interest earned equals the future value less the principle.

Therefore, the interest earned can be calculated as follows: I = FV - P

where I = the interest earned and FV is the future value.

Substituting the given values,

\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)

The future value is:

\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)

Therefore, the interest earned is:

\(I = $11,954.83 - $10,000= $1,954.83\)

Thus, the interest earned in 4 years is $1,954.83.

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The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Answer:

x= 63.4°

(the 4th option)

Step-by-step explanation:

Its a right angle triangle, with its opposite and adjacent values given so tan is used.

(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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The probability of three rooks being placed on a 3x3 chessboard without any of them being able to capture another is about 3.57%.

There are a total of 9 squares on a 3x3 chessboard, and we need to place 3 rooks on these squares. There are 9 choices for the first rook, 8 choices for the second rook, and 7 choices for the third rook.

However, not all of these choices will result in a valid configuration where none of the rooks can capture each other. To be valid, each row and each column must have at most one rook.

Let's consider the number of valid configurations. Without loss of generality, we can assume that the first rook is placed in the first row. There are 3 choices for the column of the first rook. The second rook can be placed in any of the 6 remaining squares, but only 3 of these squares are in rows or columns that do not already have a rook. Finally, the third rook can be placed in any of the 3 remaining squares, but only 2 of these squares are in rows or columns that do not already have a rook.

Therefore, the total number of valid configurations is 3 x 3 x 2 = 18.

The total number of ways to place the rooks is 9 x 8 x 7 = 504.

Therefore, the probability that none of the rooks can capture any of the other two is 18/504 = 1/28, or approximately 0.0357.

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Answer:

Step-by-step explanation:

155 divide by 31=5

Answer:

1/5 or 0.2.

Step-by-step explanation:

31 / 155

Now 155/31 = 5

so the answer is 1/5.

Answer:

Rate of change of y is \(- \frac{4}{9}\)

Step-by-step explanation:

\(y = - \frac{4}{9} x + 5 \\ \\ differentiating \: with \: respect \: to \: x \\ \\ \frac{dy}{dx} = - \frac{4}{9} \frac{d}{dx} x + \frac{d}{dx} 5 \\ \\ \frac{dy}{dx} = - \frac{4}{9} .1 + 0 \\ \\ \huge \red{\frac{dy}{dx} = - \frac{4}{9} } \\ \\ rate \: of \: change \: of \: y =- \frac{4}{9}\)

Answer:

1{-8}

2{-14}

Step-by-step explanation:

I think, sorry if I'm wrong

Answer:

a. y = 3 × 0 + 15

y= 0+15

y= 15

Step-by-step explanation:

Subtitute the variables into the place they are denoted with and solve it

And the place where the equation will cross the y axis is just the last numbers i.e. 15 and 3z which is 6

Answer:

After 8 years working for the company, Amira would make a salary of $59000 + 8 * $3500 = $70500.

After t years working for the company, Amira would make a salary of $59000 + t * $3500.

Step-by-step explanation:

Annabeth's bi-weekly gross earnings, including overtime compensation, would be $1,097.56.

Amount is a term used to describe a quantity or size of something. It is used to refer to a number of objects, items, or people, as well as a measure of money, time, or distance. Amount is also used to describe the total sum of money that is owed, received, or spent.

This amount is calculated by multiplying her hourly rate of $21.84 (which is determined by dividing her bi-weekly gross earnings of $913.45 by 40 hours) by 47 hours, which is the total number of hours worked in the week. Then, her overtime compensation of 7 hours is multiplied by her hourly rate of $21.84 multiplied by 1.5, which is the rate for time-and-a-half. The sum of these two amounts is her bi-weekly gross earnings with overtime, which is $1,097.56.

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Answer:

The radius is 18.3cm

Step-by-step explanation:

Given

\(V = 25500cm^3\)

Required

The radius, r

The volume (V) of a sphere is:

\(V = \frac{4}{3}\pi r^3\)

So, we have:

\(25500 = \frac{4}{3}\pi r^3\)

Solve for r

\(\pi r^3 = 25500 * \frac{3}{4}\)

\(\pi r^3 = 19125\)

Divide by \(\pi\)

\(r^3 = \frac{19125}{\pi }\)

\(r^3 = \frac{19125}{3.14}\)

\(r^3 = 6090.8\)

Take cube roots

\(r = 18.3\) -- approximated

The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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Answer:

the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.

For 8 pounds of weight, the charges be the same for both the companies.

Given, that To ship an overnight package

Shipping Company A charges $14 plus $2.25 per pound

Shipping Company B charges $20 plus $1.50 per pound

Let, the weight be w

And the cost of shipment by company A & B be A(w) & B(w) respectively.

According to the question,

A(w) = 14 + 2.25w

B(w) = 20 + 1.50w

Now, when charges be the same

A(w) = B(w)

14 + 2.25w = 20 + 1.50w

On subtracting 1.50w on both the sides, we get

14 + 2.25w - 1.50w = 20 + 1.50w - 1.50w

14 + 0.75w = 20

Now on subtracting 14 on both the sides, we get

14 + 0.75w - 14 = 20 - 14

0.75w = 6

On dividing both the sides by 0.75, we get

0.75w/0.75 = 6/0.75

w = 8

Hence, weight = 8 pounds.

For 8 pounds of weight, the charges be the same for both the companies.

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

I think your answer would be 12x - 2

If this is wrong then im sorry

Answer:

12x-2

Step-by-step explanation:

5x+1=JK

7x-3=KL

JL= JK + KL

= 5x+1+7x-3

=12x-2

therefore JL = 12x-2