A company claims that the mean monthly residential electricity consumption in a certain region is more than 880 kiloWatt-hours (kWh). You want to test this claim. You find that a random sample of 64 residential customers has a mean monthly consumption of 900 kWh. Assume the population standard deviation is 124 kWh. At a = 0. 01, can you support the claim? Complete parts (a) through (e)

The angle formed by the triangle is

67.38 degrees

The angle is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The direction of movements describes a triangle which is bisected to form a right triangle of

opposite = 3 feet

adjacent = 2 feet

Half of the angle is calculated using tan, TOA

tan (1/2 given angle) = Opposite / Adjacent

tan (1/2 given angle) = 2 / 3

1/2 given angle = arc tan 2/3

1/2 given angle = 33.69

given angle = 67.38 degrees

where given angle is the angle formed by the triangle

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Answer:

8n is the same as 8 times a number.

That means...

Continuation:

\(8 * n = 128\)

\(128 \div 8 = n\)

\(128 \div 8 = 16\)

Therefore, n is 16.

Isolate y by dividing by e^x: y(x) = (1/7)e^(6x) + C*e^(-x). This is the general solution of the given differential equation.

The given differential equation is of the form dy/dx + y = e^(6x). To find the general solution, we can first solve the homogeneous equation dy/dx + y = 0, which has a solution y = Ce^(-x), where C is a constant. To find the particular solution, we can use the method of variation of parameters, which gives us y = (1/7)e^(6x) - (1/7)Ce^(-x), where C is again a constant. Therefore, the general solution of the given differential equation is y = Ce^(-x) + (1/7)e^(6x), where C is any constant. This solution satisfies the differential equation for any value of C. This explanation is 99 words. The given differential equation is dy/dx + y = e^(6x). This is a first-order linear differential equation. To find the general solution, we first determine the integrating factor (IF) by calculating e^(∫1 dx) = e^x. Now, multiply both sides of the equation by the IF: e^x(dy/dx) + e^x*y = e^(7x). The left side is now the derivative of a product, i.e., d/dx(y*e^x).
Next, integrate both sides with respect to x: ∫[d/dx(y*e^x) dx] = ∫[e^(7x) dx]. This results in y*e^x = (1/7)e^(7x) + C, where C is the constant of integration. Finally, isolate y by dividing by e^x: y(x) = (1/7)e^(6x) + C*e^(-x). This is the general solution of the given differential equation.

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Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!

Answer:

9s-3s10s or 3-10s

Step-by-step explanation:

10s+s-3s10s+s-3s

first of all, we collect like terms

10s+s+s-3s-3s10s

=9s-3s10s

it could also be equal to

9s/3s-(3s10s/3s)

3-10s

when we divide through by 3s

Out of the total surveyed students \((3000), 2295\) students plan to go to college, according to the data given in the table on AP course.

To determine the number of students who plan to go to college out of the total surveyed students, we need to analyze the data in the table provided.

From the table, we can see that \(2100\) seniors have taken at least one AP course, and \(900\) seniors have not taken any AP courses. The table also provides information on the plans for the future of students based on whether or not they have taken an AP course.

Looking at the first column for students who have taken an AP course, the percentage of students planning to attend college is given as \(0.93\). Therefore, the number of students planning to attend college out of those who have taken an AP course is \(0.93\) multiplied by the total number of seniors who have taken an AP course (\(2100\)).

Similarly, for the second column representing students who have not taken an AP course, the percentage of students planning to attend college is \(0.38\). Thus, the number of students planning to attend college out of those who have not taken an AP course is \(0.38\) multiplied by the total number of seniors who have not taken an AP course (\(900\)).

To calculate the total number of students planning to go to college, we add the number of students from both categories:

Total number of students planning to go to college = \($(0.93 \times 2100) + (0.38 \times 900)$\)

Simplifying the calculation:

Total number of students planning to go to college = \(1953 + 342\)

Total number of students planning to go to college = \(2295\)

Therefore, out of the total surveyed students \((3000), 2295\) students plan to go to college.

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The equations of the lines are y = 3x - 5 and y = (1/2)x - 7

An equation is an expression that shows how numbers and variables are related to each other.

A linear function is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

Two lines are parallel if they have the same slope

1) y = 3x + 6; (4, 7)

The parallel line would have a slope of 3 and pass through (4, 7), hence:

y - 7 = 3(x - 4)

y = 3x - 5

2) y = (1/2)x + 5; (4, -5)

The parallel line would have a slope of 1/2 and pass through (4, -5), hence:

y - (-5) = (1/2)(x - 4)

y = (1/2)x - 7

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Answer:

P = 4

Step-by-step explanation:

Image for explanation

(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.

A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.

a). Positivplate should be on the right and negativeplate should be on the left.

Potential equals zero at the center of the plates.

Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0

Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.

Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.

Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.

The potential is -8475 V on the contrary side of the negative plate.

Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.

b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J

Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.

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Answer:

whats the question?

Step-by-step explanation:

The express in the form of a + bi would be 0 + 5i.

Complex numbers are those expressed as a + ib, where a, b are real numbers and 'i' is a fictitious number called a "iota." i is equal to  (√-1). A pair of real and imaginary numbers combined in the form a + bi.

When a and b are real numbers, a complex number is one with the formula a + bi. The complex number has two parts: real component (a) and imaginary part (b). If both the real and imaginary components of two complex numbers are identical, only then are the two complex numbers equal.

Let the given expression be \($\sqrt{-25}$$\).

We have to evaluate the expression.

\($$\begin{aligned}\sqrt{-25} & =\sqrt{-1 \cdot 25} \\& =\sqrt{-1} \sqrt{25} \\& =i(5) \\& =5 i\end{aligned}$$\)

The express in the form of a + bi = 0 + 5i.

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Answer:

13

Step-by-step explanation:

The triangles ABC and DEC are the exact same.

That also means that angle b in the same as angle E

You can then do: 3x=6x-39    (because they are the same)

then simplify:

39=3x

x=13

hope this helped! ask questions in the comments if you still don't know.

Answer:

Make x alone

Subtract 3x on both sides

3x - 3x = 0

6x - 3x = 3x

0 = 3x - 39

Divide 39 by 3

39 / 3 = 13

13 is the answer because it makes the equation equal

Hope this helps

Step-by-step explanation:

Answer:

um I don't understand it pls be more specific and I will help

Answer:

∠a = 35°  ∠b = 65°

Step-by-step explanation:

a = 35 ° ( alternate interior angles )

( the line x is parallel to line yz hence we can consider XY as a transversal)

∠b + 35° + 80° = 180 ° ( angle sum property of triangle)

∠b+ 115° = 180°

∠b= 180 - 115

∠b = 65°

The given equation is

First, we add 4 on each side.

Then, we multiply 10 on each side.

Answer:

1.25 pounds

Step-by-step explanation:

20/16=1.25

^ Ounces

      ^Ounces in pound

               ^Result/pounds

Answer:

840 cm³

Step-by-step explanation:

We can decompose the L-shaped prism into two rectangular prisms as shown in the figure

The dimensions of the top rectangular prism are 4cm x 5cm x 6 cm with a volume of 4 x 5 x 6 = 120 cm³

The bottom rectangular prism has dimensions  15cm x 8cm x 6cm with a volume of 15 x 8 x 6 = 720 cm³

Total volume of both rectangular prisms = Volume of L-shaped prism

= 120 + 720 = 840 cm³

The best way to proceed answering this question is by splitting the shape into two different shapes. *The picture attached shows how this is done*

The volume equation for a rectangular prism is : w × l × h

Let's do the top rectangular prism:

With the shapes split, the dimensions of this new prism are 5 × 6 × 4

So the volume is 5 × 6 × 4 = 120 cm³

Let's do the bottom prism:

It's dimensions are 15 × 6 × 8 = 720 cm³

Now, add the two values to get your final volume:

720 + 120 = 840 cm³

Answer:

x = 4

Step-by-step explanation:

lol uggujkvjvvjvvjvvjjjvvjvvvvvvvvvvvvvvvvvvvvvvvvvvvvvujuuuuuuuu

Answer:

2nd option

Step-by-step explanation:

Given x = a is a root of a polynomial function then (x - a) is a factor

Given roots are x = 0, x = - 2, x = 7 , then corresponding factors are

(x - 0) , (x - (- 2) ) , (x - 7) , that is

x , (x + 2) , (x - 7)

The polynomial function f(x) is then the product of the factors, so

f(x) = x(x + 2)(x - 7)

Answer:

b. trigonal pyramidal

The shape of the NH3 (Ammonia) molecule is described as Trigonal Pyramidal. It has a tetrahedral electron-pair geometry due to three bonding pairs and one lone pair. The presence of lone pair causes the bond angles to be slightly smaller than an ideal tetrahedron.

The shape of the NH3 (Ammonia) molecule is best described as Trigonal Pyramidal. This can be understood by examining the molecule's molecular and electron-pair geometry. In case of ammonia, the central nitrogen atom is bonded to three hydrogen atoms and it also has one lone pair of electrons. The electron pair geometry therefore is tetrahedral which are distributed in three bonding pairs and one lone pair.

However, the molecular structure, which is the shape that considers only the bonding pair of electrons, is derived from this and appears as a Trigonal Pyramidal structure. The bond angles in this structure are slightly smaller than the ideal 109.5° angle in a regular tetrahedron due to the presence of the lone pair. The lone pair occupies more space than the bonding pairs, causing slight deviation from the ideal angles.

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Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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The  values of for which the rocket's height is 29 meters are 0.75 and -0.67.

Velocity can be described as a vector quantity having both direction and magnitude which is the distance traveled per time.

We were given the  rocket's height h  as \(h=57t-5t^2\) which is an equation, and we were been given the height which is the value that can be input into the equation as  is 29 meters , then we can proceed to simplify the equation as

\(h=57t-5t^2\)

29=57t-5t^2

then we will have  \(57t-5t^2-29=0\)

with the use of quadratic formula the values of t are : 0.75 and -0.67

Then we can chose 0.75 seconds

Therefore, after the calculation with the use of the quadratic equation, we can come into conclusion that the values that are required in the question are 0.75 and -0.67.

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NOTE: This is a complete question, there were no given options, even on the internet.

(a) The sample proportion of successes is p^ = 29/100 = 0.29.

(b) The hypothetical proportion of success under the null hypothesis is p_0 = 0.33.

(c) The test statistic is given by:

z = (p^ - p_0) / sqrt(p_0*(1-p_0)/n)

where n is the sample size.

Plugging in the values, we get:

z = (0.29 - 0.33) / sqrt(0.33*(1-0.33)/100) = -1.23

The value of the test statistic tells us how many standard deviations the sample proportion is away from the null hypothesis proportion. In this case, the observed proportion of prisoners returning to prison after attending boot camp is 1.23 standard deviations below the null hypothesis proportion of 33%.

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Answer:

\(6 (v-11) (v + 10 )\)

Step-by-step explanation:

i dont have any

AnsweR 6(V-11)(V+10)

Step-by-step explanation:

step1: after factoring out 6 we have :6v^2-6v-660=6(v^2-v-110)

step 2:identify constants b and c. b+-1 and c=-110

step3:find out all pairs of -110.

-1,110    1,110

-2,55    2,-55

-5,22      5,-22

-10,11      10,-11

step4: place 10 and 11 into place holders

x^2-x-110=(x+-)(x+-)

x^2-x-110=(x+10)(x-11)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

y = -1/2x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-5) / -2 - (-4)

-1 / 2

= -1/2

y = -1/2x + b

-5 = -1/2(-4) + b

-5 = 2 + b

-7 = b

Answer:

\(-5x^3-11x^2-8x-16\)

Step-by-step explanation:

\(f(x)=-5x+4\)

\(g(x)=x^2+3x-4\)

\(f(x)*g(x)=(-5x+4)(x^2+3x-4)\)

\(=(-5x)(x^2)+(-5x)(3x)+(-5x)(4)+(4)(x^2)+(4)(3x)+(4)(-4)\)

\(=-5x^3-15x^2-20x+4x^2+12x-16\)

\(=-5x^3-11x^2-8x-16\)

Answer:

See below

Step-by-step explanation:

110% of x = 99

1.10x = 99

x = 90

10% of 90 = 0.10 * 90 = 9

Answer:

9

Step-by-step explanation:

\(\frac{(99)(10)}{110} =\frac{990}{110} =9\)

Hope this helps

The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.

Based on the given information from the graph, we can determine the following:

The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.

Then, there is a downward trend from 3.4 to 4 on the horizontal axis.

From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.

Therefore, the correct statement is:

Most of the songs were between 3 minutes and 3.8 minutes long.

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Answer:

A

Step-by-step explanation: