Fatima conducted an experiment where she asked people to estimate the temperature of glasses of water. She recorded how far the estimates were from the actual temperatures, using positive values for guesses that were too high and negative values for guesses that were too low. Her results are in the table below.
Estimate -−minus actual temperature (\degree\text{C})(°C)left parenthesis, degree, start text, C, end text, right parenthesis
Person A Person B Person C
-3−3minus, 3 444 888
-1−1minus, 1 -4−4minus, 4 -2−2minus, 2
000 222 555
222 -3−3minus, 3 111
What is the mean value in Fatima's results?

Step-by-step explanation:

b = 42

c = 138

plz mark my answer as brainlist plzzzz if you find it useful .

The AD curve in an AS-AD diagram is most relevant to Keynes's Law. The correct option is d.

In an AS-AD (Aggregate Supply-Aggregate Demand) diagram, Keynes's Law is most relevant to the AD curve. Keynes's Law, proposed by economist John Maynard Keynes, states that aggregate demand (AD) determines the level of economic activity and that fluctuations in AD can lead to periods of economic expansion or contraction.

The AD curve represents the total demand for goods and services in an economy at different price levels. It shows the relationship between the overall price level and the quantity of real GDP demanded. When the AD curve shifts to the right, it indicates an increase in overall demand, leading to higher levels of output and employment. Conversely, a shift to the left indicates a decrease in overall demand, which may lead to lower output and employment.

Keynes's Law emphasizes the importance of aggregate demand management by the government through fiscal and monetary policies to stabilize the economy and achieve full employment. Thus, the AD curve plays a central role in illustrating the concepts and implications of Keynes's Law in an AS-AD diagram. The correct option is d.

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The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

The function F(x) is a cubic function.

Here, we have,

given function is:

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.

Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.

so, we get,

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

Therefore, the function F(x) is a cubic function.

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The probability that all of them are real is 0.01875 or 1.875%

If the diamonds are replaced after each draw:

The probability of drawing a real diamond is 9/14, found by making the numerator the number of real diamonds and adding the total number of diamonds to find the denominator. 5+9 = 14.

To find the probability of all 9 diamonds drawn being real, multiply 9/14 by itself 9 times.  = 387420489/ 20661046784. This creates a probability of 387420489/ 20661046784. This cannot be reduced because there is no common factor. To express as a decimal, divide. 387420489/ 20661046784 = 0.01875. To turn this into a percent, multiply by 100. 0.01875*100 = 1.875

Hence, the probability that all of them are real is 0.01875 or 1.875%

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Given differential equation is y′(x)=xsin(x²)−1/1+x²Since we need to find the value of y at x = 0. The initial condition of the differential equation is given by y(0) = 0.

We will first integrate the given differential equation.∫y′(x)dx = ∫xsin(x²)−1/1+x²dx∴ y(x) = 1/2 ln(1 + x²) - 1/2 arctan x + CNow, let's use the initial condition y(0) = 0 to determine the value of C.∴ 0 = 1/2 ln(1 + 0²) - 1/2 arctan 0 + C => C = 0

Hence, the solution of the differential equation y′(x) = x sin(x²) − 1/1 + x² with initial condition y(0) = 0 is given byy(x) = 1/2 ln(1 + x²) - 1/2 arctan x + C = 1/2 ln(1 + x²) - 1/2 arctan x + 0 = 1/2 ln(1 + x²) - 1/2 arctan x

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the height of the mast is approximately 51.5 meters.

what is approximately ?

"Approximately" means that the value is an estimate that is very close to the true value but may not be exact. In the context of the answer I provided, "approximately" indicates that the height of the mast is very close to 51.5 meters but may be slightly more or less than that value.

In the given question,

Let's call the height of the mast "h". We can use trigonometry to find the value of "h".

If we draw a diagram, we can see that the angle of elevation of the mast is the same as the angle between the ground and a line from P to the top of the mast. We can call this angle "θ".

We know that tan(θ) = opposite/adjacent = h/150.

We also know that tan(19°) = 0.3431 (rounded to 4 decimal places).

So we can set up an equation:

0.3431 = h/150

To solve for "h", we can multiply both sides by 150:

h = 0.3431 x 150

h = 51.465 (rounded to 3 significant figures)

Therefore, the height of the mast is approximately 51.5 meters.

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Answer:

x + 7 > 5

x > 5 - 7

x > -2

Step-by-step explanation:

The standard error of the sampling distribution of the sample proportion is given by:

The standard error for the sampling distribution of the sample proportion when n = 50 is approximately 0.059.

SE = sqrt[p(1-p)/n]

where p is the population proportion and n is the sample size.

For n = 20 and p = 0.12, we have:

SE = sqrt[(0.12)(1-0.12)/20] ≈ 0.083

Therefore, the standard error for the sampling distribution of the sample proportion when n = 20 is approximately 0.083.

For n = 50 and p = 0.12, we have:

SE = sqrt[(0.12)(1-0.12)/50] ≈ 0.059

Therefore, the standard error for the sampling distribution of the sample proportion when n = 50 is approximately 0.059.

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Answer:

16x25x15=6000

4+11÷2=9.5

Step-by-step explanation:

1) 16x25x15 is 16 times 25 times 15, which is 6000

2) This question requires BIDMAS/BODMAS. As you start with the multiplication (Brackets Indices Multi Divide Add Subtract) 11÷2 = 5.5, 5.5+4=9.5

The volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.


To find the volume of the solid, we can use the method of cylindrical shells. The region bounded by y = x^2 and y = 6 in the first quadrant is a parabolic shape above the x-axis.
To set up the integral for the volume, we consider an infinitesimally small vertical strip of thickness Δx at a distance x from the line x = -3. The height of the strip is given by the difference between the two curves: h = 6 – x^2. The circumference of the cylindrical shell is given by the formula 2πr, where r is the distance between x and the line x = -3, which is r = x + 3.

The volume of the infinitesimal shell is then given by dV = 2π(x + 3)(6 – x^2)Δx. Integrating this expression from x = 0 to x = 3, we obtain the volume V = ∫[0,3] 2π(x + 3)(6 – x^2)dx. Evaluating this integral, we find V ≈ 481.39 cubic units.
In summary, the volume of the solid obtained by rotating the region bounded by y = x^2 and y = 6 about the line x = -3 is approximately 481.39 cubic units.

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8.4 cubic feet of water weigh 5233.90 pounds or 2.62 tons.

The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.

It is given that-

One cubic foot = 7.48 gallons of water,

and 1 gallon of water weighs = 8.33 pounds.

Now, since One cubic foot holds 7.48 gallons of water

Therefore,to find out 8.4 cubic feet of water weigh. Simply,

⇒  8.4 cubic feet of water  = 84 x 7.48 gallons of water

⇒  8.4 cubic feet of water  = 628.32 gallons of water

To convert it in pounds-

Since,1 gallon of water weighs 8.33 pounds of water

Therefore, 628.32 gallons of water = 628.32 x 8.33 pounds of water

⇒  628.32 gallons of water = 5233.90 pounds of water

Since, 1ton = 0.0005 tons

So,  5233.90 pounds = 5233.90 x 0.0005 tons of water

⇒  5233.90 pounds = 2.62 tons of water.

Hence,8.4 cubic feet of water weigh in 5233.90 pounds and 2.62 tons.

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The population of the city in ten years is 177629

The given parameters are:

Initial, a = 120000

Rate, r = 4%

The function is represented using:

P(t) = a * (1 + r)^t

This gives

P(t) = 120000 * (1 + 4%)^t

At ten years, t = 10.

So, we have:

P(10) = 120000 * (1 + 4%)^10

Evaluate

P(10) = 177629

Hence, the population in ten years is 177629

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Answer:

Because you allow your self to think you have depression when you just need to realize life is fine and just be happy and don't always assume the worst and  last but not least just have a great life. IMO

Step-by-step explanation:

Not mean't to hurt yo feeling just my opionion

Answer:

Some of the main causes for depression are: Gender, Age, Conflict, Abuse, Medications, Major events, Social isolation, Death or a loss.

Step-by-step explanation:

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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The surface area of the regular three-sided prism is 26√3 cm².

Now, For the surface area of the prism, We can find the area of each of its five faces and add them together.

First, let's find the length of the base edge.

Let's take it "s".

We know that the surface area of the base is 4√3 cm²,

Hence, We get;

A = (sqrt(3)/4)s = 4√3

Solving for "s", we get:

s = 2 cm

Next, we need to find the height of the prism.

We know that the height is 3 times greater than the length of the base edge, so:

h = 3s = 6 cm

Now we can find the area of each face of the prism using the formula for the area of an equilateral triangle:

A = (√(3)/4)s

A = (√(3)/4)(2 cm)

A = √3 cm²

Since, The prism has five faces.

Therefore, the total surface area of the prism is:

A = 2(4√3 cm²) + 3(√3 cm²)(6 cm)

A = 8√3 cm² + 18√3 cm²

A = 26√3 cm²

Therefore, The surface area of the regular three-sided prism is ,

= 26√3 cm².

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A 0.25 = 25% probability of having three females and one guy is discovered using probability & sample space ideas (in any order ).

The set containing all potential outcomes is known as the sample space.

The proportion of intended results in the sample space multiplied by the total of possibilities is the probability estimated from the sample space.

The sample space for 4 kids is provided by:

B - B - B - B

B - B - B - G

B - B - G - B

B - B - G - G

B - G - B - B

B - G - B - G

B - G - G - B

B - G - G - G

G - B - B - B

G - B - B - G

G - B - G - B

G - B - G - G

G - G - B - B

G - G - B - G

G - G - G - B

G - G - G - G

There are 16 possibilities.

There are 3 girls and 1 guy in the four groups, which are B-G-G-G, G-B-G-G, G-G-B-G, & G-G-G-B.

In other words, the likelihood of having three girls & one male is 25% when p = D T = 4 16 = 0.25 0.25 (in any order).

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The given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given statement as:

⇒ -12 ≤ -15

Since -12 and -15 are not equal and -15 is smaller than -12, the preceding statement is incorrect.

So the following statements are correct:

It is a false statement because -12 is not equal to -15.

It is a false statement because -15 is less than -12.

Hence, the given statement is a false statement because -12 is not equal to -15 and also -15 is less than -12 which are correct answers would be Options (A) and (D).

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Answer:

1/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

AB =CD

AB = 13.

BC = AD

24 = 19+ 5

therefore ED is 5. please mark as brainliest if I am correct.

Answer:

D

Step-by-step explanation:

từ O hạ đường vuông góc xuống các cạnh AB, AC, BC các đường vuông góc đó sẽ bằng nhau

The linear equation doesn't have a solution.

The linear equation given is illustrated as: 4x-(2x-1) = x+5+x-6

This will be solved thus:

4x - 2x + 1 = x+5+x-6

4x - 2x + 1 = 2x - 1.

2x + 1 = 2x - 1

Collect like terms

2x - 2x = -1 - 1

0 = -2

This illustrates that the equation doesn't have a solution.

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Answer:

Do you understand?

Step-by-step explanation:

you gained 23 (14+9)

and lost 7 yards(23-7=16)

so you will still have gained 16yds in total

16 yards was the overall gain.

Answer:

Step-by-step explanation:

The range is calculated using value of 'y'.

Here, the range is...

\(( - 2 ,\infty )\)

Therefore, the lowest value is -2.

The probability of cycle time exceeding 70 minutes is 0.25. In the event that a time exceeding 55 minutes is known.

here,

We need to use to the concept of conditional probability to solve the given question. Let us consider that x is the cycle time for trucks carying concrete to a particular concrete site.

As x is uniformly distributed from 45 to 75 minutes.

Therefore,

the probability density function of x is f(x) = \(\frac{1}{(75-40)}\) => \(\frac{1}{35}\)

x ranging from 40 \(\leq\) x \(\leq\) 75.

now, the probability of cycle time exceeding 70 minutes given that it exceeds 55 minutes is calculated using conditional probability

\(P(X > 70 ; X > 55)\)

\(P( X > 70 ; X > 55) / P (X > 55)\)

 \(P(X > 70 )/ P(X > 55)\)

X is uniformly distributed,

\(P(X > 70) = \frac{( 75 -70)}{(75 - 40)} = \frac{5}{35}\)

\(P ( X > 55) = \frac{( 75 - 55)}{(75 - 40)} = \frac{20}{35}\)

Hence,

\(P ( X > 70; X > 55)\)

\(=\frac{(5/35)}{(20/35)}\)

\(= 0.25\)

The probability of cycle time exceeding 70 minutes is 0.25. In the event that a time exceeding 55 minutes is known.

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Answer:

Bobby: 8

Bobby Father: 50

Step-by-step explanation:

58 ÷ 5 = 11.6 - 4 = 7.6

7.6 rounds up to 8 because six is more than five

58 - 8 = 50

hope this helps! itt took mee a minute too.

Answer:

Bobby=8

Bobby's dad=50

Step-by-step explanation:

4x+5y=58

4x+y=11.6

Y=8

x=58-8

X=50

Equation of sphere passing through origin and center at (4, 1, 3) is : (x - 4)² + (y - 1)² + (z - 3)² = 26.

In order to find the equation of the sphere which passes through the origin and has its center at (4, 1, 3), we use the general-equation of a sphere : (x - h)² + (y - k)² + (z - l)² = r²,

where (h, k, l) represents the center of sphere and r = radius,

In this case, the center is given as (4, 1, 3), and the sphere passes through the origin, which is (0, 0, 0).

Since the sphere passes through the origin, the distance from the center to the origin is equal to the radius.

So, distance is : r = √((4 - 0)² + (1 - 0)² + (3 - 0)²)

= √(16 + 1 + 9)

= √26

Therefore, the equation of the sphere is : (x - 4)² + (y - 1)² + (z - 3)² = 26.

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