If the alternate hypothesis states that µ does not equal 4,000, where is the rejection region for the hypothesis test?
A. Both tails
B. Lower or left tail
C. Upper or right tail
D. Center

Answer:

153.94 mm^2

Step-by-step explanation:

area of base = area of a circle = Pi * radius squared

radius squared = 49

area of base =  Pi * 49

area of base =  153.94

Answer:

Yes, it is.

Step-by-step explanation:

When you plug in 2 for y, and 2 for x. you get:

2 ≤ 4(2) - 6

2 ≤ 8 - 6

2 ≤ 2

2 is equal to 2, so it is correct.

Answer:

-Managing money $$$

-Balancing the checkbook.

-Shopping for the best price.

-Preparing food.

-Figuring out distance, time and cost for travel.

-Understanding loans for cars, trucks, homes, schooling or other purposes.

-Understanding sports (being a player and team statistics)

-Playing music.

These are things we do everyday that use Math.

Mathematics makes our life orderly and prevents chaos. Certain qualities that are nurtured by mathematics are power of reasoning, creativity, abstract or spatial thinking, critical thinking, problem-solving ability and even effective communication skills.

D. 3

The absolute value is always even.

Answer: The two specific conjectures are in the first image, and the two general conjectures are in the second image.

Answer:  67.5 degrees

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

Explanation:

x = 3y since x is three times as large as y

The two variables must add to 90 degrees. This is because the angles are part of a right triangle, and they are the acute angles.

x+y = 90

3y+y = 90

4y = 90

y = 90/4

y = 22.5

x = 3y

x = 3*22.5

x = 67.5

Answer:

x=8

Step-by-step explanation:

both sides are even and parallel.

Answer:

3. alternative interior angle

4. consecutive exterior angle

5. corresponding angle

6. consecutive interior angle

7. corresponding angle

8. alternative exterior angle

Step-by-step explanation:

since the braindead jacka** above was no help

Answer:

Step-by-step explanation:

b

Answer:

(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)

Step-by-step explanation:

commutative property of multiplication

abc = acb

We can change the order in which the multiplication is done

(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)

The example of the commutative property of multiplication can be seen in option (B) (8+6i)(7-9i) = (7-9i)(8+6i).

The commutative property of multiplication states that changing the factor's order does not change the answer.

Let's consider the first equation,

(8+6i) = (6i+8)

Here commutative property of addition is used.

So, this option is incorrect.

The given second equation is,

(8+6i)(7-9i) = (7-9i)(8+6i)

In the above equation, the commutative property of multiplication is used.

So, this option is correct.

Hence, option (B) (8+6i)(7-9i) = (7-9i)(8+6i) is the correct answer.

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Answer:

I think that is false, tell me if im wrong if you can

Answer:

Step-by-step explanation:

False I think.

Answer:

52.95x + 39.95(12)

Step-by-step explanation:

Answer:

52.95 x + 39.95 (12)

Step-by-step explanation:

cost per movie = 52.95

a monthly subscription is 39.95 and there are 12 months in a year so it would be 39.95 x 12

the x would be dependent on the amount of movie rentals and therefore the cost of the rentals = 52.95 x

The length and width of the rectangle with perimeter 254 yards are 57 and 70 yards respectively.

Perimeter of rectangle is 2(Length + width)

Given,

Perimeter of rectangle = 254 yards

Width = Length+ 13

Consider the Length of the rectangle as "x". Thus, width of the rectangle is x+13 ( as it is 13 yards more than the Length ).

Put the value in the formula.

=> 254 = 2(x+x+13)

=> 254 = 2(2x+13)

=> 254 -26 = 4x

=> 228= 4x

=>  x = 57 (length)

=>  x+13= 70( width)

Therefore, we get length = 57 yards and width = 70 yards.

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Answer:

D

Step-by-step explanation:

f(g(0)) means f(g(x=0))

f(3*0-5)= f(-5)=6*(-5)²+5 = 6*25 +5 = 150+5 = 155

Answer:

I think the graph that represents a function is graph 4

We have to find the equation of a line fo which we know two points, using the point-slope form.

The point-slope let us write the equation of the line knowing the value of the slope m and the coordinates of one point (x0,y0) of the line:

We use the two known points to calculate the slope m:

Using the point (-1,7), we can write the equation as:

Answer: From the options, the right ones are:

y-7=-1(x-(-1))

y-4=-1(x-2) --> this one would have been used if we picked the point (2,4) instead of (-1,7)

y=-x+6

Answer:

19

Step-by-step explanation:

If the number of skits is x we can write:

9x + 5 = 176

9x = 171

x = 19

Answer:

1.6666..... = 1.7 hours

hope i helpp :)))

The values of x and z are 2 and 90 degrees respectively

The properties of transversals are;

From the information given, we have that;

The angle z is right angles, that is, it is equal to 90 degrees

z = 90 degrees

Since interior angles are supplementary, we have then that;

14x + 72 + 80 = 180

collect the like terms

14x + 152 = 180

14x = 28

Make 'x' the subject of formula

x =2

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The general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

We are given the differential equation: d²y/dx - 36y = cosh(3x).

In this case, the homogeneous equation is d²y/dx - 36y = 0.

The characteristic equation associated with the homogeneous equation is obtained by replacing the derivatives with their corresponding algebraic expressions. In our case, we have r² - 36 = 0. Solving this quadratic equation, we find the roots to be r = ±6.

Since the roots are distinct and real, the general solution for the homogeneous equation is given by:

\(y_h = C_1e^{6x} + C_2e^{-6x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

The term cosh(3x) can be written as a linear combination of exponential functions using the identities:

\(cosh(ax) = (e^{ax} + e^{-ax})/2, \\\\sinh(ax) = (e^{ax} - e^{-ax})/2.\)

Therefore, \(cosh(3x) = (e^{3x} + e^{-3x})/2.\)

Now, we assume the particular solution has the form:

\(y_p = A_1e^{3x} + A_2e^{-3x}\)

where A₁ and A₂ are undetermined coefficients.

Substituting these derivatives into the original differential equation, we get:

\((9A_1e^{3x} + 9A_2e^{-3x}) - 36(A_1e^{3x} + A_2e^{-3x}) = (e^{3x} + e^{-3x})/2.\)

To satisfy this equation, the coefficients of the exponential terms on both sides must be equal. Therefore, we have the following system of equations:

9A₁ - 36A₁ = 1/2,

9A₂ - 36A₂ = 1/2.

Solving these equations, we find A₁ = -1/70 and A₂ = -1/70.

Thus, the particular solution is:

\(y_p = (-1/70)e^{3x} + (-1/70)e^{-3x}\)

Finally, the general solution for the given differential equation is the sum of the complementary function and the particular solution:

\(y = y_h + y_p\\\\= C_1e^{6x} + C_2e^{-6x} + (-1/70)e^{3x} + (-1/70)e^{-3x}\)

where C₁ and C₂ are arbitrary constants determined by the initial or boundary conditions of the problem.

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Courtney rides for two hours on a bicycle, traveling 24 miles from her home. She has ridden for nine hours and is now 101 miles away. Courtney travels at a speed of 6 mph.

Let x represent the duration in hours and y the distance in miles.

Courtney travels 24 miles from her home after a two-hour ride.

She has traveled 101 miles after riding for nine hours.

rate is the slope

We divide the change in hours by the change in miles to find the rate.

\(Slope=\frac{y_{2} - y_{1} }{x_{2}-x_{1} } \\Slope=\frac{101-24}{9-2} \\Slope= \frac{77}{7} \\Slope=11\)

Therefore, Courtney's speed is 11 mph.

The speed of something or someone is shown to us. If you know how far and how long it took, you can find the average speed of an object.

The distance covered in a given amount of time would also double if one were to speed up. We need to know how far an object has traveled in order to determine its speed, and the slowest speeds are measured over the longest time periods.

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Answer:

\( \sqrt{9 } = 3 \)

The answers to all limits are:

(a) lim x → a [ f(x) + 2g(x)] =  -6,

(b) lim x → a [h(x) − 3g(x) + 1] = 13

(c) lim x → a [ f(x)g(x)] = -8

(d) lim x → a [g (x)]² = 16

(e) lim x → a 3√6 + f(x) / 2g(x)

The central limit theorem states that if you take sufficiently large samples from a population, the samples' means will be normally distributed, even if the population isn't normally distributed.

here, we have,

(a) lim x → a [ f(x) + 2g(x)]

= lim x → a f(x) + 2 lim x → a g(x) (using algebraic limit theorem)

= 2 + 2(-4)

= -6

(b) lim x → a [h(x) − 3g(x) + 1]

= lim x → a h(x) - 3 lim x → a g(x) + lim x → a 1 (using algebraic limit theorem)

= 0 - 3(-4) + 1

= 13

(c) lim x → a [ f(x)g(x)]

= lim x → a f(x) * lim x → a g(x) (using algebraic limit theorem)

= 2 * (-4)

= -8

(d) lim x → a [g(x)]²

= [lim x → a g(x)]^2 (using algebraic limit theorem)

= (-4)^2

= 16

(e) lim x → a 3√6 + f(x) / 2g(x)

= [3√6 + lim x → a f(x)] / [2 lim x → a g(x)] (using algebraic limit theorem)

= [3√6 + 2] / [2(-4)]

= (-3√6 - 2) / 8

Therefore, the answers to all limits are:

(a) lim x → a [ f(x) + 2g(x)] =  -6,

(b) lim x → a [h(x) − 3g(x) + 1] = 13

(c) lim x → a [ f(x)g(x)] = -8

(d) lim x → a [g (x)]² = 16

(e) lim x → a 3√6 + f(x) / 2g(x)

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Complete question:

1. Given that

lim

x → a f(x) = 2, lim

x → a g(x) = −4, lim

x → a h(x) = 0

find the limits.

(a) lim

x → a [ f(x) + 2g(x)]

(b) lim

x → a [h(x) − 3g(x) + 1]

(c) lim

x → a [ f(x)g(x)] (d) lim

x → a [g(x)]2

(e) lim

x → a

3

√6 + f(x) (f ) lim

x → a

2

g(x)

To write the given parametric equations as a function of x, we need to eliminate the parameter t.
From the first equation, we have:
\(x = 3t - 1\)
Solving for t, we get:
\(t = (x + 1) / 3\)
Substituting this value of t into the second equation, we get:
\(y = 4 - 2ty = 4 - 2[(x + 1) / 3]y = (2/3)x + (10/3)\)
Therefore, the function of y in terms of x is:
\(y = (2/3)x + (10/3)\)

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As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.

1. Sort the data either ascendingly or descendingly.

2. Determine how many items are in the data set.

3. The median is the number in the middle of the list if the number of items is odd.

4. The median is the average of the two middle numbers in the list if the number of items is even.

To figure out the range:

1. Sort the data either ascendingly or descendingly.

2. To determine the range, deduct the smallest number from the largest.

As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.

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Answer:

y = - \(\frac{1}{2}\) x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = A(10, - 2) and (x₂, y₂ ) = B(4, 1)

m = \(\frac{1+2}{4-10}\) = \(\frac{3}{-6}\) = - \(\frac{1}{2}\) , then

y = - \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1 )

1 = - 2 + c ⇒ c = 1 + 2 = 3

y = - \(\frac{1}{2}\) x + 3 ← equation of line

It takes a train going 50 mph approximately 11/2 miles to stop safely.

The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.

In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.

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