you wish to compare the prices of apartments in two neighboring towns. you take a simple random sample of 12 apartments in town a and calculate the average price of these apartments. you repeat this for 15 apartments in town b. let begin mathsize 16px style mu end style 1 represent the true average price of apartments in town a and begin mathsize 16px style mu end style 2 the average price in town b. if we were to use the pooled t test, what would be the degrees of freedom?

The largest taco contained approximately 1 kg of onion for every 6. 6 kg grilled teak. then Amount of grilled steak used: 6.6 (79.17) = 538.356 kg

What is a unit amount in math?

When a price is expressed as a quantity of 1, such as $25 per ticket or $0.89 per can, it is called a unit price. If you have a non-unit price, such as $5.50 for 5 pounds of potatoes, and want to find the unit price, divide the terms of the ratio

1 k + 6.6 k = 617.3

Where “k” is a constant value, a multiplier.

Solving for k:

7.8 k = 617.3

k = 617.3 /7.8  

k= 79.17

So:

Amount of onion used:

1 (79.17) = 79.17 kg

Amount of grilled steak used:

6.6 (79.17) = 538.356 kg

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Answer:

hello!!

your answer will be option C.SSS

Step-by-step explanation:

hope it helps

\(3.5b + 4.5 + 0.5b - 0.5 - 1.5b\)

Combine Like Terms:

\((3.5b+0.5b-1.5b)+(4.5-0.5)\)

\(\boxed{2.5b+4}\)

Answers:

=========================================================

Explanation:

The independent variable is always long the horizontal axis. Often this is x, but we are using t in this case.

The variable t represents the amount of time in minutes. For instance, t = 2 means 2 minutes have elapsed. At this time, 4 cookies have been eaten as shown by the point (2,4). As another example, the point (3,6) means that d = 6 cookies have been eaten at time t = 3 minutes.

The equation is d = 2t because the '2' represents the rate of change of "eating 2 cookies per minute". Whatever the time value (t) is, we double it to get the value of d, which is the number of cookies eaten.

For a given function f(x), the domain is the set of possible values of x that we can use and the range is the set of the possible values of f(x).

For both points we will find that the answer is:

"We only can evaluate the function with integer values of d."

a) Here we have the function:

A(d) = 2 + 0.25*d

The first thing we want to answer is:

"explain why the domain does not contain the value d=2.5 "

We know that at the end of each day the kids get's the $0.25, so at d= 2.5 there two days and a half, and because only 2 nights passed, at this moment the kid only got the money two times.

So for d = 2.1

           d = 2.5

           d = 2.7

etc

We would get the exact same total money, thus we only can evaluate the function with integer values of d.

b) Why the range does not include the value A = $3.10?

Remember that d can only be an integer number.

Now let's solve:

A(d) = 3.10 = 2 + 0.25*d

          3.10 - 2 = 0.25*d

          1.10 = 0.25*d

           1.10/0.25 = d = 4.4

So we only can get  A = $3.10 if d = 4.4, and remember that d only can be a whole number, this is why the range does not include the value $3.10

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Answer:

-½ + (root2 / 2) i + root½ i

Step-by-step explanation:

\( \frac{a}{b} - \frac{c}{d} = \frac{ad - cb}{bd} \)

I used this formula to do it but let me know if it's enough or you have to simplify it further

Answer:

45

Step-by-step explanation:

Answer:

No, because 32 is not a whole number power of -2. (The answer would be 'yes' for -32, but not for +32).

Step-by-step explanation:

Answer:

20? because 24 plus 12 gives you 36 and 8 plus 12 gives you 20

Step-by-step explanation:

sorry if its wrong

Answer:

27,29

Step-by-step explanation:

Let the two numbers be represented by x and y. We know they are consecutive odd numbers so we can write one of them, lets use y, as y = x+2

x+y=56

x+(x+2)=56

2x=54

∴x=27

y=x+2

y=27+2

y=29

∴ANSWER: (27,29)

Answer:

-1

Step-by-step explanation:

From 10 to 8.5   is  - 1.5  

   this is -1   S.D.   below the mean

(8.5 - 10)/1.5 = -1

Answer:

200+15x=320

x= 8

Answer:

Algebra?

Step-by-step explanation:

Using pythagoras' theorem in the right-angled triangle

A right-angled triangle is a polygon with 3 sides in which one angle is a right angle

Now, since we have 3 triangles, using Pythagoras' theorem in all three triangles, we have

h² + (12 - x)² = 12² - 6² (1)

Also, h² + x² = 6²  (2)

So, h² + (12 - x)² = 12² - 6²

h² + (12 - x)² = 144 - 36

h² + (12 - x)² = 108  (3)

From equation (2), h² = 36 - x²

Substituting this into equation (3), we have that

h² + (12 - x)² = 108  (3)

36 - x² + (12 - x)² = 108  (3)

Expanding the brackets, we have that

36 - x² + 144 - 24x + x² = 108

36 + 144 - 24x = 108

180 - 24x = 108

-24x = 108 - 180

-24x = -72

x = -72/-24

x = 3

Since  h² = 36 - x²

h = √(36 - x²)

So, substituting the value of x = 3 into the equation, we have that

h = √(36 - x²)

h = √(36 - 3²)

h = √(36 - 9)

h = √27

h = 3√3

So,

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The solution to the matrix equation X + [-3 2 9 -7] = [-3 5 4 -5] is X = [0 3 -5 -2].

To solve the matrix equation, we need to subtract the given matrix from both sides of the equation. By doing so, we isolate the variable matrix X on one side.

Given:

X + [-3 2 9 -7] = [-3 5 4 -5]

Subtracting [-3 2 9 -7] from both sides:

X = [-3 5 4 -5] - [-3 2 9 -7]

Performing the subtraction:

X = [-3-(-3) 5-2 4-9 -5-(-7)]

= [0 3 -5 -2]

Therefore, the solution to the matrix equation is X = [0 3 -5 -2].

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Answer:

$4047.75

Step-by-step explanation:

If each helmet costs $89.95 and there are 45 of these helmets, you would multiply $89.95 x 45. Plug this into a calculator and you get $4047.75.

Answer:

(3, \(\frac{1}{8}\) )

Step-by-step explanation:

Hi there,

To find the answer to this question, you can simply use a graphing calculator to graph this function. When looking at the values of points along the function, we find that (3, \(\frac{1}{8}\) ) is one of the answer choices.

Hope this answer helps.

Cheers.

The function f can be implemented using a single 4-to-1 multiplexer and two inverters.

A 4-to-1 multiplexer is a digital logic component that selects one of four input signals based on the select lines. It has four data inputs (D0, D1, D2, D3), two select lines (S0, S1), and one output (Y). By properly connecting the inputs and select lines, we can realize the desired function f.

To implement the function f using a single 4-to-1 multiplexer and two inverters, we need to carefully assign the input signals and select lines to achieve the desired behavior. The truth table of the function f will guide us in determining the appropriate connections.

First, we can use the inverters to complement the required inputs if needed. Then, we can connect the complemented and uncomplemented inputs to the select lines of the multiplexer. The output of the multiplexer will be the result of the function f.

By carefully selecting the input assignments and connections, we can effectively implement the function f using a single 4-to-1 multiplexer and two inverters. This approach offers a compact and efficient solution for realizing the desired logic function.

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Answer:

B) x=12

Step-by-step explanation:

theres a 50/50 shot at getting heads, half of 24 is 12

Two unit vectors in 2-space that make an angle of 45° with 9i + 4 are

u = ( √2 - 4√(81 - 8√2) ) / 18 i + ±√(81 - 8√2)/18 j

v = ( √2 + 4√(81 - 8√2) ) / 18 i + ±√(81 - 8√2)/18 j

Let the two unit vectors be denoted by u and v. We know that the dot product of two unit vectors is equal to the cosine of the angle between them. Therefore, we can set up the following equations:

u · (9i + 4j) = cos(45°)

v · (9i + 4j) = cos(45°)

Since u and v are unit vectors, we know that their magnitudes are both equal to 1:

|u| = 1

|v| = 1

Squaring both sides of these equations, we get:

u · u = 1

v · v = 1

Expanding the dot products using the distributive property, we get:

9u1 + 4u2 = cos(45°)

9v1 + 4v2 = cos(45°)

u1² + u2² = 1

v1² + v2² = 1

Where u1 and u2 are the components of u, and v1 and v2 are the components of v.

To solve for u and v, we can use the system of equations:

9u1 + 4u2 = cos(45°)

9v1 + 4v2 = cos(45°)

u1² + u2² = 1

v1² + v2² = 1

We can simplify the first two equations by substituting cos(45°) with √2/2:

9u1 + 4u2 = √2/2

9v1 + 4v2 = √2/2

Solving for u1 and u2 in the first equation, we get:

u1 = ( √2/2 - 4u2 ) / 9

Substituting this expression for u1 into the equation u1² + u2² = 1, we get:

( √2/2 - 4u2 )² / 81 + u2² = 1

Simplifying and solving for u2, we get:

u2 = ±√(81 - 8√2)/18

Using the equation u1 = ( √2/2 - 4u2 ) / 9, we can find u1 for each value of u2:

u1 = ( √2/2 - 4(√(81 - 8√2)/18) ) / 9 or u1 = ( √2/2 - 4(-√(81 - 8√2)/18) ) / 9

Simplifying, we get:

u1 = ( √2 - 4√(81 - 8√2) ) / 18 or u1 = ( √2 + 4√(81 - 8√2) ) / 18

Therefore, the two unit vectors are:

u = ( √2 - 4√(81 - 8√2) ) / 18 i + ±√(81 - 8√2)/18 j

v = ( √2 + 4√(81 - 8√2) ) / 18 i + ±√(81 - 8√2)/18 j

Note that we have two possible values for each component, since both u and v must be unit vectors.

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Answer:

your question seem off but if its x² + 2x + y² +10y=15

Step-by-step explanation:

the answer will be

center = (-1,-5)

radius = square root 41

which will be C:center (-1,-5), radius square root 41

Answer:

173.8 squared

Step-by-step explanation:

area = 0.5 * b * h

I hope this helps!

Answer:

The area of a triangle is b x h divided by 2.

Substituting in the given values,

25.75 x 13.5 / 2

347.625 / 2

173.8125

The area of the triangle is 173.8125 ft squared.

Hope this helps! :)

Answer:

\({:}\longrightarrow\tt 12t +2 (t-5)=60 \)

\({:}\longrightarrow\tt 12t+2t-10=60 \)

\({:}\longrightarrow\tt 14t-10=60 \)

\({:}\longrightarrow\tt 14t=60+10 \)

\({:}\longrightarrow\tt 14t=70 \)

\({:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}\)

\({:}\longrightarrow\tt t=5 \)

\(\therefore\sf t=5 \)

Step-by-step explanation:

Volume = 1/3 × (10×8) × 6

= 160 in³

If r2 equals .36 it means that 36% of the variability in one variable is accounted for by variability in another variable.The coefficient of determination, commonly referred to as r-squared or R2, is a statistical measure that evaluates how well a linear regression model fits the data.

It measures the proportion of variability in a dependent variable that can be accounted for by the independent variable(s). In simpler terms, the R-squared value indicates how well the regression line (or the line of best fit) fits the data points being studied, and whether the variation in the dependent variable is related to the variation in the independent variable.

If r2 equals .36, it means that 36% of the variability in one variable is accounted for by the variability in another variable.

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Answer:

1.we know the perimeter of the triangle=x-3+x+6+x=3x+3

so,answer is (b)3x+3

2.area of the triangle=1/2*b*h

=1/2*x+2*2x+6=x+2*2x+6/2=2x^2+6x+4x+12/2=2x^2+10x+12/2=2(x^2+5x+6)/2=x^2+5x+6

so,answer is(b)x^2+5x+6

To get the indefinite integral of ∫sin(4x)sin(3x) dx, we can use the product-to-sum identity for sine functions, which is given by: sin(A)sin(B) = (1/2)[cos(A-B) - cos(A+B)]

In our case, A = 4x and B = 3x. Applying the identity, we have:
∫sin(4x)sin(3x) dx = ∫(1/2)[cos(4x-3x) - cos(4x+3x)] dx
Simplify the expression: ∫(1/2)[cos(x) - cos(7x)] dx
Now, integrate each term separately: (1/2)∫cos(x) dx - (1/2)∫cos(7x) dx
The indefinite integral of cos(ax) is (1/a)sin(ax) + C, where a is a constant and C is the constant of integration. Thus, we have: (1/2)[(1/1)sin(x) - (1/7)sin(7x)] + C
Finally, simplify the expression: (1/2)sin(x) - (1/14)sin(7x) + C
So, the indefinite integral of ∫sin(4x)sin(3x) dx is (1/2)sin(x) - (1/14)sin(7x) + C.

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Answer:

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Step-by-step explanation:

bob is life

bob is food

bob is bob

#1

So the function is

#2

\(\\ \tt\hookrightarrow( f\circ g)(x)\)

\(\\ \tt\hookrightarrow f(x)g(x)\)

\(\\ \tt\hookrightarrow (3x-1)(4x^2+9)\)

\(\\ \tt\hookrightarrow 12x^3+27x-4x^2-9\)