3.1 3.2 The temperature in Australia one morning was -5°C at 08:00 and increased by 2°C every hour until 12:00. What will the temperature be at 11:307 Janni (1)​

Answer:

y = 4

Step-by-step explanation:

6y - (4y - 12) = 20

Distribute;

6y - 4y + 12 = 20

2y + 12 = 20

Subtract 12 from both sides;

2y = 8

Divide both sides by 2;

y = 4

The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Answer:

8/9

Step-by-step explanation:

both numbers are multiples of 9

Answer:

8:9 uwu

Step-by-step explanation:

Hope this helps everyone

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...

Values at one, two and three standard deviations are 77.9, 82.8 and 87.7 respectively. Values at -1, -2 and -3 standard deviations are 68.1, 63.2 and 58.3 respectively.

The average grade given = 73

So, the mean, μ = 73

The standard deviation, σ = 4.9

We need to find the 1,2 and 3 standard deviations and -1, -2 and -3 deviations from the mean.

We use the formula z = μ + nσ to find the values at nth deviations.

When n = 1

z = 73 + 1 x 4.9 = 77.9

When n = 2

z = 73 + 2 x 4.9 = 82.8

When n = 3

z = 73 + 3 x 4.9 = 87.7

When n = -1

z = 73 -1 x 4.9 = 68.1

When n = -2

z = 73 - 2 x 4.9 = 63.2

When n = -3

z = 73 - 3 x 4.9 = 58.3

Hence, these are the required values.

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Answer:

v = 42

omg i hope this helps!!

When the government deliberately alters its level of spending and/or taxes to achieve specific national economic goals, it is exercising discretionary fiscal policy.

Discretionary fiscal policy refers to the deliberate actions taken by the government to influence the economy through changes in government spending and taxation. It involves the use of fiscal measures, such as changes in tax rates, government expenditures on goods and services, and transfer payments, to stabilize or stimulate the economy.

These policy actions are determined and implemented through legislative decisions and government intervention. Unlike automatic government budgetary policy, which refers to the automatic adjustments in government spending and taxation based on predetermined rules and formulas, discretionary fiscal policy involves intentional decisions made by policymakers to actively manage the price.

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The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

\(\frac{1}{7}\)

Step-by-step explanation:

\(\frac{2}{5} / \frac{14}{5}\\\frac{2}{5} * \frac{5}{14} \\\frac{1}{7}\)

The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.

To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.

However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.

When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.

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Answer:

In decimal point 0.3 is greater than 0.30 but in normal equation its just the same. Both 0.3 and 0.30 are numerically equal because in mathematics zero after the decimal is not considered any value.

3x + 2y = 48 is an equation in standard form can be used to represent the situation.

An equation in math is made up of numbers and an equal sign that can include a variable in place of an unknown value. A variable is a letter that represents an unknown value. Any letter of the alphabet can be used, but normally the variable 'x' is common in equations.

Standard equation it generally refers to an equation that is written in a particular standard form, for example, a linear equation in two variables written in the form:

ax + by = c

Where a, b, and c are constants and x and y are variables. This standard form of the equation of a line is often used because it makes it easy to find the x-intercept and y-intercept of the line, as well as the slope of the line.

Similarly, in quadratic equations, the standard form is:

ax^2 + bx + c = 0

where a, b, and c are constants and x is the variable.

Let:

x = number of king size Reese cups purchased

y = number of king size Snickers purchased

The cost of x king size Reese cups and y king size Snickers can be represented using the equation:

3x + 2y = 48

This equation is in standard form, where the variables are on the left-hand side and the constant is on the right-hand side. The coefficients of x and y are the prices of the respective candies, and the constant term represents the total amount spent.

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The line that passes through the point (4, -5) and is perpendicular to the line x + 2y = 5? is y = 2x - 13.

Calculation:-

The equation of a line is y = mx + c, m is the gradient and c is the intercept

The line passes through points 4 and -5, x is 4 and y is -5

-5 = 4m + c

When two lines are perpendicular, the products of their gradients are equal to -1, m1 * m2 = -1

x + 2y = 5

2y = -x + 5

y = (-1/2 * x) + 5

therefore m = -1/2

m1 * m2 = -1

m * -1/2 = -1

-m = -2 , therefore m = 2

-5 = 4 * 2 + c

c = -5 - 8, which is -13

Therefore the equation for the line is y = 2x - 13.

To determine if a point is on a line you can simply substitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line. Only one line can pass through a single point. False because we can draw an infinite number of lines through a given point as shown below.

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A system having ΔG equal to zero means that the system is at equilibrium at standard conditions. This is option c. In a chemical reaction, ΔG represents the change in Gibbs free energy, which is a measure of the energy available to do work.

When ΔG is equal to zero, it indicates that the system is balanced, with the forward and reverse reactions occurring at the same rate. At equilibrium, the concentrations of reactants and products remain constant over time. For example, consider the reaction A ⇌ B. Initially, if we have more A than B, the forward reaction will be favored until equilibrium is reached. At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of A and B remain constant. In this case, ΔG is zero.

It is important to note that while a ΔG of zero indicates equilibrium, it does not provide information about whether the reaction is spontaneous or nonspontaneous. The spontaneity of a reaction is determined by the sign of ΔG. If ΔG is negative, the reaction is spontaneous, while a positive ΔG indicates a nonspontaneous reaction.

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Given:

There are given that the diameter of the semicircle is 36.6mm.

Explanation:

To find the perimeter, first, we need to find the value of radius r.

So,

From the formula:

Now,

From the formula of the perimeter of the semicircle:

Then,

Put the values into the above formula:

So,

Final answer:

Hence, the value of the perimeter is shown below:

There are two distinct sets of all four quantum numbers with n = 4 and ml = -2:

(n = 4, l = 2, ml = -2, ms = +1/2)

(n = 4, l = 2, ml = -2, ms = -1/2)

To determine the number of distinct sets of all four quantum numbers (n, l, ml, and ms) with n = 4 and ml = -2, we need to consider the allowed values for each quantum number based on their respective rules.

The four quantum numbers are as follows:

Principal quantum number (n): Represents the energy level or shell of the electron. It must be a positive integer (n = 1, 2, 3, ...).

Azimuthal quantum number (l): Determines the shape of the orbital. It can take integer values from 0 to (n-1).

Magnetic quantum number (ml): Specifies the orientation of the orbital in space. It can take integer values from -l to +l.

Spin quantum number (ms): Describes the spin of the electron within the orbital. It can have two values: +1/2 (spin-up) or -1/2 (spin-down).

Given:

n = 4

ml = -2

For n = 4, l can take values from 0 to (n-1), which means l can be 0, 1, 2, or 3.

For ml = -2, the allowed values for l are 2 and -2.

Now, let's find all possible combinations of (n, l, ml, ms) that satisfy the given conditions:

n = 4, l = 2, ml = -2, ms can be +1/2 or -1/2

n = 4, l = 2, ml = 2, ms can be +1/2 or -1/2

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The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

What is the intermediate value theorem?

Intermediate value theorem is theorem about all possible y-value in between two known y-value.

x-intercepts

-x^2 + x + 2 = 0

x^2 - x - 2 = 0

(x + 1)(x - 2) = 0

x = -1, x = 2

y intercepts

f(0) = -x^2 + x + 2

f(0) = -0^2 + 0 + 2

f(0) = 2

(Graph attached)

From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3

For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.

Your question is not complete, but most probably your full questions was

Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?

Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.

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Answer:

4/5

Step-by-step explanation:

3/5+1/5

3+1 /5

simplifies to:

4/5

Answer:

The interquartile range is 2.

Step-by-step explanation:

Answer:

$15087.27

Step-by-step explanation:

When you read word problems you should always read over it several times, look for key words, and possibly even write down the known facts.

First add up Celine's earnings:

1250(11)=6105

6105+8250=14355

Since Celine has +525 more than Abbas you have to subtract:

14355-525=13830

Since we want the yearly income we divide it to get the monthly income:

13830/11=1257.27272727

Next multiply by 12 to get the answer:

1257.27272727(12)=15087.2727273

They will probably want it simplified to $15087.27.

                  Hope this helps:)

Answer:

4 tickets

Step-by-step explanation:

32 = total cost

8 = cost of one ticket

total cost/cost of one ticket = number of tickets

32/8 = number of tickets

4 = number of tickets

number: n

Five multiplyed by the sum of three and a number:

The sum of one and the number:

Sum of the two quantities:

To simplify:

- Use distributive property to remove parentheses:

-Combine like terms:

Answer:

linear but not proportional

Step-by-step explanation:

y = 30x+50

This is in the form

y = mx+b so it is a linear equation

To be proportional it has to go through the point (0,0)

0 = 30*0 +50

0= 50  This is not true so it is not proportional

The slope intercept form of the equation become y = (-1/3)x - 1/3.

According to the statement

We have to find that the slope intercept equation.

So, For this purpose, we know that the

Slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

From the given information:

y - 3x = 8

y = 3x + 8  

Slope = 3

And

Perpendicular lines have slopes that are negative reciprocals of each other. So, the new line will have a slope of = -1/3.

P(-4,1)

y - 1 = (-1/3)(x +4)

y - 1 = (-1/3)x - 4/3

y = (-1/3)x - 1/3.

So, The slope intercept form of the equation become y = (-1/3)x - 1/3.

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Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by aₙ = -2 +5(n-1).

As given in the question,

Linear function for the sequence represented by ;

y = 5x -7

Compare it with y = mx + b

m = 5

b= -7

For x = 1

First term (a₁)

y = 5(1) -7

  = -2

For x =2

second term (a₂)

y = 5(2) -7

  =3

Common difference = second term - first term

                               = 3 - (-2)

                               = 5

nth term of the sequence :

aₙ = a₁ + (n-1)d

   = -2 + (n-1)5

    = -2 +5(n-1) represent the  explicit formula.

Therefore, Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by

aₙ = -2 +5(n-1).

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The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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The solution to the system of linear inequalities (x, y) are (-1, 2)

A system of linear inequalities is just like a system of linear equations, except it is composed of inequalities instead of equations. Systems of linear inequalities are used to model scenarios with multiple constraints.

In the given problem, we can find the value of x and y as;

x + y > 1 ...eq(i)

-x + y ≤ 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

We can easily plot this on a graph and the point of intersection will be our solution;

From the graph attached below, the solution to this inequality (x , y) are (-1, 2)

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The two figures shown are made of unit squares. The positive difference of the perimeters, in units, is 8.

Perimeter is the total distance around the boundary of the shape. Since each square has a side length of 1 unit, the perimeter is equal to the number of sides.

1. Figure A: Counting the number of unit squares on the boundary of the shape, the perimeter of the first shape is:   8+4+4+4+4=24 units.

2. Figure B:Counting the number of unit squares on the boundary of the shape, the perimeter of the second shape is: 10+2+10+2=24 units.

The positive difference of the perimeters in units = |24 - 24| = 0 units. Therefore, the positive difference of the perimeters, in units is 0.

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The given equations of planes are: 15x - 3y + 12z = 2  & 2y = 10x - 8z

To determine whether these planes are parallel, perpendicular or neither, we need to compare the normal vectors of the planes. The normal vector of a plane is given by the coefficients of x, y and z in the equation of the plane.

The normal vector of the first plane (1) is [15, -3, 12] and the normal vector of the second plane (2) is [10, 2, -8/2] = [10, 2, -4].

Now, to check if the planes are parallel or perpendicular, we can take the dot product of the normal vectors. If the dot product is 0, then the planes are perpendicular, and if it is non-zero, then the planes are parallel.

The dot product of the normal vectors of the given planes is:

[15, -3, 12] · [10, 2, -4] = (15)(10) + (-3)(2) + (12)(-4) = 0

Since the dot product is zero, the planes are perpendicular to each other.

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