In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find the energy consumption level for the 45th percentile. Group of answer choices

Answer:

6 units

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(x1 - x2)^{2} + (y1 - y2)^{2} } [/tex]

Thus, distance between (-3, 5) and (-9, 5)

[tex] = \sqrt{( - 3 - ( - 9))^{2} + (5 - 5)^{2} } \\ = \sqrt{( - 3 + 9)^{2} } \\ = \sqrt{6 ^{2} } \\ = 6[/tex]

Alternatively, notice that this line is a horizontal line as both points have the same y-coordinate of 5.

Thus, distance between the 2 points

= -3 -(-9)

= -3 +9

= 6 units

Answer:

D. 100

Step-by-step explanation:

percents are always out of 100 because that is the maximum. if you are 100% done with your homework, you are completely finished.

Answer: The concentration will be 8 milligrams per liter at 2 hours and 4 hours.

Step-by-step explanation:

GIven: The concentration of a certain painkiller supplied by serum varies in its effectiveness over time according to the following function, [tex]C (t) = - t^2 + 6t[/tex] where C is the concentration of the painkiller in the serum measured in milligrams per liter so that it takes effect during t hours.

Put C(t)=8, then we get

[tex]8=-t^2+6t\\\\\Rightarrow\ t^2-6t+8=0\\\\\Rightarrow\ t^2-2t-4t+8=0\\\\\Rightarrow\ t(t-2)-4(t-2)=0\\\\\Rightarrow\ (t-2)(t-4)=0\\\\\Rightarrow\ t=2,4[/tex]

At t=2, [tex]C(t)=-(2)^2+6(2)=-4+12=8[/tex]

At t=4, [tex]C(t)=-(4)^2+6(4)=-16+24=8[/tex]

Hence, the concentration will be 8 milligrams per liter at 2 hours and  4 hours.

Answer:

15.625 m³

Step-by-step explanation:

The volume of a cube has a formula: V = a³

V = volume

a = side length

The side length is given 2.5 meters.

V = 2.5³

Solve for V.

V = 15.625

The volume is 15.625 cubic meters.

Answer:

15.625cm^3

Step-by-step explanation:

Formula:

V=lxwxh

Given:

l=2.5m

w=2.5m

h=2.5m

Answer:

V=lxwxh

V=2.5m*2.5m*2.5m

V=6.25m^2*2.5m

V=15.625m^3

Hope this helps :)

Answer:

[tex]\boxed{x = 7}[/tex]

Step-by-step explanation:

75 = 11x-2 (Corresponding angles are equal)

11x -2 = 75

Adding 2 to both sides

11x = 75+2

11x = 77

Dividing both sides by 11

x = 7

Answer:

[tex]\left[\begin{array}{ccc}\\x = 7\\\end{array}\right][/tex]

Step-by-step explanation:

Well to find x we can set up the following equation,

11x - 2 = 75

So we have to single out x.

+2 to both sides

11x = 77

Divide 11 by both sides

x = 7

Thus,

x = 7.

Hope this helps :)

Answer:

d

Step-by-step explanation:

Answer:

Total cost = $864

Step-by-step explanation:

The area of the rectangular room

= 18*12

= 216 ft²

The sides of the square is 1ft

The area of the square= 1ft²

To know how many square tiles it will take= 216/1 = 216 square tiles.

The total cost to completely cover the room with tiles if each tiles cost $4

= 216*4

= $864

Total cost=$864

Answer:The answer is c

Step-by-step explanation:

Answer:

X+y = 20... equation 1

3.2x + 2y = 54.4...equation 2

X= 12

12 of $3.2 grade is needed

Step-by-step explanation:

Let x = grade containing$ 3.2 per pound

Let y = grade containing $2.00 per pound

X+y = 20... equation 1

X3.2 +2y = 20(2.72)

3.2x + 2y = 54.4...equation 2

Multiplying equation 1 by 2

2x +2y = 40

3.2x + 2y = 54.4

1.2x = 14.4

X= 12

If x= 12

2x +2y = 40

2(12) + 2y = 40

2y = 40-24

2y = 16

Y= 8

Answer:

-4.3a + 4.1

Step-by-step explanation:

Well in the given expression,

2.5a - 7 - 6.8a + 11.1

We need to combine like terms,

2.5a + -6.8a = -4.3a

-7 + 11.1 = 4.1

Ans: -4.3a + 4.1

Thus,

the answer is -4.3a + 4.1

Hope this helps :)

The simplification form of given expression is -4.3a + 4.1

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

The given expression,

⇒ 2.5a - 7 - 6.8a + 11.1

Combine like terms in expression,

⇒ 2.5a  - 6.8a + 11.1- 7

Apply the arithmetic operations

⇒ -4.3a + 4.1

Hence, the simplification form of given expression is -4.3a + 4.1

Learn more about Arithmetic operations here:

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According to the given situation, the computation of two number in a given ratio is shown below:-

We assume the numbers is x and y

Given that

[tex]\frac{x}{y} = \frac{3}{1}[/tex]

x = 3y

and

[tex]\frac{x^2-y^2}{x + y} = \frac{6}{1} \\\\\frac{(x + y) (x - y)}{(x + y)} = 6[/tex]

With the help of above formula we will put the value and be able to find the values of x and y

x - y = 6

3y - y = 6

2y = 6

y = 3

x = 3y = 9

x = 9, y = 3

Therefore the correct answer is x = 9 where as y = 3

approximately 36.633 cm if you use pi = 3.14

approximately 36.6519 cm if you use the calculator's stored value of pi

Work Shown:

L = arc length, r = radius, x = central angle in degrees

L = (x/360)*2*pi*r

L = (300/360)*2*pi*7

L = (35/3)pi .... exact arc length in terms of pi

L = (35/3)*3.14

L = 36.633 .... approximate arc length

Keep in mind that I used pi = 3.14 which isn't that great an approximation for pi. If you want to use more digits of pi, then use your calculator's built in version of it to get (35/3)*pi = 36.6519; of course it will depend on which option your teacher prefers.

Answer:

x = 40

Step-by-step explanation:

4/x = 50/500

Simplify the right side

4/x = 1/10

Using cross products

4*10 = 1*x

40 = x

Step-by-step explanation:

4/x = 50/500

4/x = 0.1

x = 4/0.1

x = 40

Answer:

No correlation

Step-by-step explanation:

Hey there! :)

This has no correlation because all the points are spread out throughout the graph making no correlation.

Answer:

D no correlation

Step-by-step explanation:

too many scattered dot all over the place if its some going up down its NO CORRELATION!!!

Answer:  6 feet from the pivot point

Step-by-step explanation:

Girl's weight x distance from center = Boy's weight x distance from center

65 (7) = 75x

[tex]\dfrac{65(7)}{75}=x[/tex]

6.066 = x

The boy needs to be placed 6 feet from the center (aka pivot point) which is the same as saying 1 foot from the end of the seesaw.

Answer:

A. Cone

D. Rectangular Prism

E. Cylinder

F. Sphere

Step-by-step explanation:

Rectangular Prism is a solid three dimensional shape. It has six faces which are sides of a rectangle. It is also known as Cuboid. The rectangular prism cannot be formed with two dimensional shapes. Sphere is a geometrical object which is a three dimensional circle. This shape has a circumference so this shape cannot be formed with two dimensional shapes.

Answer:

c.) No, because Cp < 1

Step-by-step explanation:

Let us assume that there is centered in the process

and, the width is 2 times the specification

So, the width is

[tex]= 2 \times 0.07[/tex]

= 0.14

Now capability index = Cp is

[tex]= \frac{specification\ width}{6 \times standard\ deviation}\\\\= \frac{0.14}{6\times 0.04}[/tex]

= 0.58333

And the capability index should be minimum 1 for the process

And as we can see that Cp is 0.58333 which is less than 1 so the machine is not able to perform the job

Hene, the correct option is c.

Answer:

[tex]\frac{\sqrt{21}}{3}[/tex] is the answer.

Step-by-step explanation:

To rationalize the denominator of [tex]\sqrt{\frac{7}{3}}[/tex] we will remove the square root or cube root from the denominator.

For which we multiply with the same value given in the denominator to numerator and denominator both.

[tex]\sqrt{\frac{7}{3}}=\frac{\sqrt{7} }{\sqrt{3} }[/tex]

[tex]\frac{\sqrt{7}}{\sqrt{3}}=\frac{\sqrt{7}}{\sqrt{3}}\times \frac{\sqrt{3}}{\sqrt{3}}[/tex]

    [tex]=\frac{\sqrt{7\times 3}}{(\sqrt{3})^2}[/tex]

    [tex]=\frac{\sqrt{21}}{3}[/tex]

[tex]\frac{\sqrt{21}}{3}[/tex] is the rationalized form.

Therefore, [tex]\frac{\sqrt{21}}{3}[/tex] will be the answer.

Answer:  see below

Step-by-step explanation:

1) Foci is plural for Focus.  Since a hyperbola has two focus points, they are referred to as foci.  The foci is where the sum of the distances from any point on the curve to the foci is constant.

2) When determining the equation of a hyperbola you need the following:

    a)  does the hyperbola open up or to the right?

    b)  what is the center (h, k) of the hyperbola?

    c)  What is the slope of the asymptotes of the hyperbola?

3) The equation of a hyperbola is:

[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1\qquad or\qquad \dfrac{(y-k)^2}{b^2}-\dfrac{(x-h)^2}{a^2}=1[/tex]

Answer:

a equals 105°

Step-by-step explanation:

angles in a straight line add up to 180°

a+75=180

a=180-75

a=105°

Answer:

New height= 41.4 inches

Second new height= 36inches

Step-by-step explanation:

Height is assumed to be 36 inches

If it increases by 15%.

15%= 0.15

It's new height =( 36*0.15) +36

New height= 5.4+36

New height = 41.4 inches

This expression (36*0.15) is the expression of adding 15% to the height.

So if the 15% is taken away again , height= 41.4-(36*0.15)

Height= 41.4-5.4

Height= 36 inches

Answer:

<4 is congruent to angle <6

Step-by-step explanation:

Assuming the lines are parallel

<2 , <4 , <6 , <8 are all equal

Congruent means they are equal.

There are 3 angles that are the same as angle 6, they are 2, 4, 8

The answer would be B. angle 4

Answer:

  The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans

Step-by-step explanation:

The problem statement tells you y is the number of minutes for producing vegetable cans. The y-intercept is the y-value when x = 0.

The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans.

Answer:

The y-intercept, at the point (0, 6), designates the choice to compose vegetables for 6 minutes. In 6 minutes, making 64 cans of vegetables per minute, 384 cans for the order decree performed. The 0 for the x-value designs that no time spent producing cans of fruit.

Step-by-step explanation:

I got it right on edgenuity

Answer:

- 29 / 20

Step-by-step explanation

The cosec (x) = 1 / sin(x)

There are 2 ways to do this:

Either using a calculator:

sin^-1(20 / 29) = 43.60281897

so inputting into 1/sin(-x) where x = 43.6.....

This gives: -29 / 20

OR

1 / sin(x) = cosec ( x)

so cosec (x) = 1/(20/29)

= 29/20

By observing the cosec(x) graph, we see that to get cosec (-x), all we need to do is to minus our answer seeing as the graph is symmetrical across the axes. Therefore x = -29/20

Answer:

Number is yellow box=3

Step-by-step explanation:

We know this because the way we get that number is subtracting the two numbers above it, which is 8 and 5, which give us 3.

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Answer:

5a

Step-by-step explanation:

Answer:

5a.

Step-by-step explanation:

2a + 3a

= (2 + 3)a

= 5a.

Hope this helps!

Answer:

y ≤0

Step-by-step explanation:

y =- x^2

x^2 is always positive or 0

Make this negative

- x^2 is negative or 0

The range is negative or 0

y ≤0

Answer:

Step-by-step explanation:

y=-x^2

the range is(-∞,0]

y≤ 0 ( since the coefficient  a is negative it is open downward)

Answer:

The regression model is:

y = 20.29 + 0.73·x

Step-by-step explanation:

In this case a regression model is to be formed to predict the final average in the course based on the first test grade.

Use Excel to form the regression model.

The output is attached below.

The regression model is:

y = 20.29 + 0.73·x

Predict the final average of a students who made an 83 on the first test as follows:

y = 20.29 + 0.73·x

  = 20.29 + 0.73 × 83

  = 80.88

The final average of a students who made an 83 on the first test would be 80.88.

From the output:

R² = 0.839

Then the correlation coefficient will be:

[tex]r=\sqrt{R^{2}}=\sqrt{0.839}=0.91597\approx 0.92[/tex]

The value of r is 0.92.

The coefficient of determination R² specifies the percentage of the variance in the dependent-variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

In this case, the R² value of 0.839 implies that 83.9% of the variation in the final average can be explained by the grades in the first test.

Answer:

B) Conclusions drawn using inductive reasoning are always valid, while conclusions drawn using deductive reasoning may or may not be valid.

Step-by-step explanation:

Inductive reasoning uses logic and uses more evidence to draw conclusions. In deductive reasoning, WE decide whether a deductive statement is true by assessing the strength of the link between the premises and the conclusion. But some deductive reasoning may appear to make sense without pointing to a truth

Answer:

The answer is D. Conclusions drawn using deductive reasoning are always valid, while conclusions drawn using inductive reasoning may or may not be valid.

Step-by-step explanation:

I took the test

Answer:

[tex]\r p = 0.11[/tex]

[tex]\r q = 0.89[/tex]

n = 2000

[tex]E = \pm 5[/tex]

p - population proportion

[tex]\alpha = 5[/tex]%

Step-by-step explanation:

From the question we are told that  

   The  sample size is  [tex]n = 2000[/tex]

   The  proportion of the population for chocolate pie is  [tex]p_c = 0.11[/tex]

   The  margin of error is  [tex]E = \pm 5[/tex]%  

Now in the question we are asked to provide the meaning of  

       [tex]\r p , \r q , n , E , and\ p[/tex]

Now  [tex]\r p[/tex] is the sample proportion of the population that those  chocolate​ pie as  favorite pie of   which is given from the question as 0.11

Now

         [tex]\r q[/tex] is the sample  proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as

      [tex]\r q = 1 - \r p[/tex]

      [tex]\r q = 1 - 0.11[/tex]

       [tex]\r q = 0.89[/tex]

       n is the sample size which is given as  n =  2000

       E is the margin of  error which given as  [tex]E = \pm 5[/tex]%

       p is the population proportion

Given that the confidence level is  95 %  then the level of significance is  mathematically evaluated as

        [tex]\alpha =(100 - 95)[/tex]%

        [tex]\alpha =[/tex]5%