What is the equation

Answer:

A sample of 3851 is required.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]

Now, we have to find z in the Z-table as such z has a p-value of .

That is z with a pvalue of , so Z = 2.327.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Variance is 5.76 kWh

This means that [tex]\sigma = \sqrt{5.76} = 2.4[/tex]

They would like the estimate to have a maximum error of 0.09 kWh. How large of a sample is required to estimate the mean usage of electricity?

This is n for which M = 0.09. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.09 = 2.327\frac{2.4}{\sqrt{n}}[/tex]

[tex]0.09\sqrt{n} = 2.327*2.4[/tex]

[tex]\sqrt{n} = \frac{2.327*2.4}{0.09}[/tex]

[tex](\sqrt{n})^2 = (\frac{2.327*2.4}{0.09})^2[/tex]

[tex]n = 3850.6[/tex]

Rounding up:

A sample of 3851 is required.

9514 1404 393

Answer:

Step-by-step explanation:

Let x and y represent amounts invested at 6% and 9%, respectively.

  y = 3x +58 . . . . . . . the amount invested at 9%

  0.06x +0.09y = 1097.19 . . . . . . total interest earned

__

Substituting for y, we have ...

  0.06x +0.09(3x +58) = 1097.19

  0.33x + 5.22 = 1097.19 . . . . . . . . . simplify

  0.33x = 1091.97 . . . . . . . . . . . . subtract 5.22

  x = 3309 . . . . . . . . . . . . . . . . divide by 0.33

  y = 3(3309) +58 = 9985

$3309 is invested at 6%; $9985 is invested at 9%.

9514 1404 393

Answer:

Step-by-step explanation:

The perimeter of a rectangle is given by ...

  P = 2(L +W) . . . . . where L and W represent the length and width

Filling in the given values, we have ...

  24 = 2(y +x)

Solving for y, we get ...

  12 = y + x . . . . . divide by 2

  y = 12 -x . . . . . . subtract x

The length y is the difference between 12 and the width x.

__

We want both x and y to be non-negative, so possible values of y range from 0 to 12.

Answer:

6

Step-by-step explanation:

236/10 = 23 remainder 6, so 6 crayons is the answer

Answer:

áedw

Step-by-step explanation:

đá

Answer:

6/5 n = a

Step-by-step explanation:

n = 5/6a

Multiply each side by 6/5

6/5 n = 6/5 * 5/6a

6/5 n = a

x-intercept = (2, 0)

y-intercept = (0, 7.5)

Step-by-step explanation:

The x-intercept can be found by setting y = 0. Thus,

[tex]15x + 4(0) = 30 \Rightarrow x = 2[/tex]

Therefore, the x-intercept is (2, 0).

The y-intercept can be found by setting x = 0:

[tex]15(0) + 4y = 30 \Rightarrow y = 7.5[/tex]

Therefore, the y-intercept is at (0, 7.5)

Answer:

Graph A

Step-by-step explanation:

It has the behavior of a Cubic funtion. Can't really explain more than that.

Answer:

Hello,

answer A

Step-by-step explanation:

If you move donwside the graph until

from y interscept to the origne,

the new graph will cut x-axis in 3 roots

Graph A represent a cubic function.

Answer:

60

Step-by-step explanation:

x² = 144×25

= 3600

x =√3600 =60

Answer:

D 40 and 50

Step-by-step explanation:

Complimentary angles are equal to 90

Answer: D, 40 and 50

Steps:

1. Since complementary angles equal 90 degrees, 4r + 5r = 90

2. 4r + 5r is 9r

3. This makes the equation, 9r=90

4. Divide both sides by 9, and then you get r=10

5. Substitute r=10 into 4r and 5r

6. This should make 4(10) and 5(10)

7. Multiply and then get 40 and 50

Answer:

-3

Step-by-step explanation:

y = 2/3x +6

Exchange x and y

x = 2/3y +6  

Solve for y

x-6 = 2/3y+6-6

x-6 = 2/3 y

Multiply each side by 3/2

3/2(x-6) = 3/2*2/3y

3/2x - 9 = y

The inverse is 3/2x -9

f^-1(x) = 3/2x-9

Let x = 4

f^-1(4) = 3/2(4)-9

         = 6-9

        = -3

Answer:

640 feet

Step-by-step explanation:

Count the length of each side. Add the lengths. Multiply by 20.

Start at the top left corner.

6 across

2 down

3 across

3 down

3 across

2 down

6 across

7 up

total = 32

32 X 20 = 640

Answer:

[tex]532 cm^{2}[/tex]

Step-by-step explanation:

Answer:

110592 in³

Step-by-step explanation:

Since baggage should take the shape of a box; with the sum of it's dimension not exceeding 144 ;

Dimensions of a box : length, width, height

If ; l + w + h = 144

Greatest volume is obtained when the dimension is equal : such that l = w = h

Hence, each dimension becomes ; 144 / 3 = 48 in

Volume of box = length * width * height

Volume = 48 * 48 * 48

Volume = 48³ = 110592

Answer:

y - 1

Step-by-step explanation:

y^2 - y / y

Cancel out the numerator with the denominator, so cancel out the y's to get:

y - 1

Remember that there is a "hidden" 1 in front of the y. Meaning that it is "-1."

Answer:

the green area stands for the safe operation space

Step-by-step explanation:

u say b×h meaning say 80degrees ×9cm which is 720..

Answer:

B. ⁴/3π(6)³

Step-by-step explanation:

Formula for volume of a sphere = ⁴/3πr³

Where,

radius (r) = 6 units

Plug in the given value into the volume formula

Volume of the sphere = ⁴/3 × π × (6)³

Volume of the sphere = ⁴/3π(6)³

The expression that represents the volume of the given sphere is therefore ⁴/3π(6)³ cubic units.

The expression for the volume of the sphere is:

V = (4/3)*3.14*(6)^3

For a sphere of radius R. the volume is given by:

V = (4/3)*pi*R^3

Where pi = 3.14

Here we know that the radius is 6 units, so we can write the volume as:

V = (4/3)*3.14*(6)^3

As you can see, the second option (counting from the top) is the correct one.

If you want to learn more about spheres:

https://brainly.com/question/10171109

#SPJ5

Answer:

Step-by-step explanation:

A. Directrix: y = 4-6 = -2

:::::

B. Axis of symmetry: x = 6

Axis of symmetry intersects directrix at (6,-2)

:::::

C . Vertex is halfway between focus and directrix, at (6,1)

:::::

D. The focus lies above the directrix, so the parabola opens upwards.

:::::

E. Focal length p = 1/(4×0.5)

:::::

F. p = 0.5

::::

G. y = 0.5(x-6)² + 1

Answer:

the one above is correct

Step-by-step explanation:

h.We start with a circle and a line that goes through the center of the circle (C) and one vertex of the triangle (E).

Using the point on the line opposite the vertex as a center (D), we draw an arc with the same radius the circle has.

The two points of intersection with the circle are the other two vertices of the inscribed triangle (F, G).

Answer:

75

Step-by-step explanation:

The probability would be 1/52, since there are only 1 two of diamonds in all 52 cards.

Final answer. 1/52  or 1.92%

Answer:

13/52

Step-by-step explanation:

a standard 52-card deck has 13 diamond cards (1,2,3,4,5,6,7,8,9,10,J,Q,K)

P(diamond) = number of diamonds/number of cards in a deck = 13/52

Answer:

B.) P(A/B) = P(A)

Step-by-step explanation:

If two events, A and B are independent:

We have that:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Since they are independent:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

So

[tex]P(B|A) = P(B)[/tex], or either:

[tex]P(A|B) = P(A)[/tex], and thus, the correct answer is given by option B.

Answer:

Yes

Step-by-step explanation:

Given:

Number of people (n) = 30

Mean wage in california = 24.66

Incomplete information;

Sample mean =23.41

Standard deviation = 2.35

Yes, the population average manufacturing wage in Utah less than $24.66 per hour, the population average manufacturing wage in the California

Answer:

i think its 7b^2+4c^2 ?

Step-by-step explana

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

Answer:

If i am not wrong the answer is 12

Answer:

[tex]{ \bf{f(x) = \tan x + 9 \sin x }}[/tex]

For gradient, differentiate f(x):

[tex]{ \tt{ \frac{dy}{dx} = { \sec }^{2}x + 9 \cos x }}[/tex]

Substitute for x as π:

[tex]{ \tt{gradient = { \sec }^{2} \pi + 9 \cos(\pi ) }} \\ { \tt{gradient = - 8 }}[/tex]

Gradient of tangent = -8

[tex]{ \bf{y =mx + b }} \\ { \tt{0 = ( - 8\pi) + b}} \\ { \tt{b = 8\pi}} \\ y - intercept = 8\pi[/tex]

Equation of tangent:

[tex]{ \boxed{ \bf{y = - 8x + 8\pi}}}[/tex]