The population standard deviation for the heights of dogs, in inches is 3,7 inches. If we want to be 95% confident that the sample mean is within 2 inches of the true population mean, what is the minimum sample size that can be taken?

Answer:

5/8 =x

Step-by-step explanation:

2 ^ ( 3x-5) = ( 1/32) ^x

Rewriting 1/32 as 2 ^ -5

2 ^ ( 3x-5) = ( 2^-5) ^x

We know that a^b^c = a^ ( b*c)

2 ^ ( 3x-5) = ( 2) ^-5x

Setting the exponents equal

3x-5 = -5x

Subtract 3x from each side

3x-5-3x = -5x-3x

-5 = -8x

Divide each side by -8

-5/-8 = -8x/-8

5/8 =x

Answer:

20

Step-by-step explanation:

Answer:

4.5 inches²

Step-by-step explanation:

A of triangle = 1/2 bh

= 1/2×5×5

= 12.5 inches²

A of rectangle = lw

= 4×2

= 8 inches²

A of shape = 12.5 - 8

= 4.5 inches²

Answer:

4.6 inches

Step-by-step explanation:

5 x 5 = 25 = related rectangle

25/2 = triangle = 12.5

12.5 - (2 x 4 ) = 4.5 in.

Answer: There should be 16, 20 cent coins

Step-by-step explanation:

First we have to do 1.60 x 2 which equals 3.2

Then we divided by 0.20 because the equals the 20 cent coins

We get 16

We can check our work by 0.20 x 16 and that gives us 3.2

I hope this helps!

Answer:

16%

Step-by-step explanation:

percent = part/whole × 100%

percent = 7440/46500 × 100%

percent = 0.16 × 100%

percent = 16%

Answer:

Step-by-step explanation:

You divide 7,440 by 46,500 because that is the amount of his income going towards taxes.

7440/46500 = .16

.16=16%

the answer is d i think. not sure though if its not ill come back and type that its not the answer in the comments                                                                                                                                                

Answer:

5 hours and 30 mintues?

Step-by-step explanation:

Answer:

So he will need 168 feet of fencing.

Step-by-step explanation:

The perimeter formula of a rectangle is P=(2xL)+(2xW)

The length is 12 and the width is 9.

First, do P=(2x12)+(2x9), P=24+18 P=42 feet

Next, since there are four pens multiply the perimeter of 1 pen by 4.

4x42=168 feet of fencing

So, Don will need 168 feet of fencing.

Answer:

Area = 226.1 ft^2

and circumference = 61.7 ft.

Both to the nearest tenth.

Step-by-step explanation:

The area of shaded part

= 1/2 *3.14 r^2

= 1/2 * 3.14 * 12^2 = 226.1 ft^2.

Circumferences of the shaded part = diameter + length of the semicircle

= 2 *r + 3.14 * r

= 2*12 + 3.14 * 12

= 61.68 ft.

Answer:

i dont know what will i do that plss help me

Answer:

correct answer is B

Step-by-step explanation:

comparing the speed at which the three cars travel and also considering the fact that they travel at a constant speed without increase or decrease in speed or acceleration, it gives B the highest speed at 55h per day

thank you.

Answer:B

Step-by-step explanation:

Answer:

35/16 sec    ( 2  3/16  sec)

Step-by-step explanation:

This assumes you glove is at height = 0

0 = -16t^2 + 35t

0 = t ( -16t + 35)    shows t = 0 ( before you throw it) and t = 35/16 sec

Answer:

1.1458

2.

3.14.14 cm2

4.20035

di ako sure correct me if i wrong

The area of the figure formed by the square and semicircle is T = 22.28 cm²

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the area of the square be represented as A

Now , the value of A is

Let the area of the semicircle be S

Let the total area of the figure be T = S + A

where A = ( 4 )² = 16 cm²

And , S = ( πr² ) / 2

S = 3.14 x ( 2 )² / 2

S = 6.28 cm²

So , the total area T =6.28 cm² + 16 cm² = 22.28 cm²

Hence , the area of the figure is T = 22.28 cm²

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The complete question is attached below :

The figure shown is formed by a square and a semicircle. Line segment BC is 4 cm. Find the area of the figure.

A) 22.28 cm2

B) 22.542

C) 20.56 cm2

D) 32.642

Answer:

Axis of symmetry:  x = 5

Vertex form:  y = -4(x - 5)² + 3

Step-by-step explanation:

Given ordered pairs: (2, -33)  (3, -13)  (4, -1)  (5, 3)  (6, -1)

Axis of Symmetry

As this is a parabola, it will be symmetrical.  

To determine the axis of symmetry, identify two ordered pairs that have the same y-values and find their midpoint.

Two ordered pairs with the same y-value:  (-4, 1)  and  (6, -1)

Midpoint of x = 4 and x = 6 is:  x = 5

Therefore, the axis of symmetry is x = 5

Vertex form

Vertex form of a quadratic equation:  y = a(x - h)² + k

(where (h, k) is the vertex)

The axis of symmetry is the x-value of the vertex of the parabola.

As we have been given the point when x = 5, the vertex is:  (5, 3)

Substituting this into the formula:

⇒ y = a(x - 5)² + 3

To find the value of a, substitute any of the other points into the formula and solve for a.

Using (4, -1)

⇒ a(4 - 5)² + 3 = -1

⇒ a(-1)² = -4

⇒ a = -4

Therefore, the vertex form of the parabola is:

y = -4(x - 5)² + 3

Step-by-step explanation:

1 plus 1 equals 2

It's addition so u just add

1 + 1 = 2

Pls mark me brainiest

Answer:

w = 3

Step-by-step explanation:

Raise both sides to the 4th power. This will "undo" the fourth root that is on both sides. See image. Then solve for w. Crossmultiply. Combine the w terms and the numbers. Divide to isolate the variable. See image.

Answer:

-30

Step-by-step explanation:

Apply the formula

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(0)-6(5)

-30

Answer:

[tex]11[/tex]

because [tex]5 + 6 = 11[/tex]

Answer:

the answer is 11

Step-by-step explanation:

the answer is 11 because 6 plus 5 equals 11

Answer:

B. By understanding your own emotions

Step-by-step explanation:

Other options seem unrealistic so B would be best.

Answer:

20cos(39) or  15.543 (3 d.p.)

Step-by-step explanation:

Answer:

16/27

Step-by-step explanation:

Formula for probability:

favourable outcomes/possible outcomes

using this we can find the answer.

let's first count all the consonants. there are 16 consonants and 27 total letters. that means that your answer would be 16/27.

Answer:

-0.182

Step-by-step explanation:

Given expression:

It should be noted that;

1. Positive integer + (Negative integer) = Positive integer - Positive integer

2. Positive integer - (Negative integer) = Positive integer + Positive integer

Our case is point 1. Therefore,

[tex]~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10} \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4[/tex]

The value of  p + q + r + s in the equation 0.1{(5x + 4)(4x - 9)}.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 2x² - 2.9x - 3.6.

Now, 0.1(20x² - 29x - 36).

= 0.1{4x(5x + 4) - 9(5x + 4)}.

= 0.1{(5x + 4)(4x - 9)}.

∴ p + q + r + s = 5 + 4 + 4 - 9.

p + q + r + s = 4.

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Answer: - 61.5

Step-by-step explanation:

    A positive and a negative sign together, like in this problem, become a negative sign. Then we subtract.

-37.6 + (-3.9) + (-20)

-37.6 - 3.9 - 20

- 61.5

Answer:

61.5

Step-by-step explanation:

Answer:

164

Step-by-step explanation:

[tex]20 + 12 \div \frac{1}{4} \times 3 \\ \\ = 20 + 12 \times 4 \times 3 \\ \\ = 20 + 144 \\ \\ = 164[/tex]

Answer:

a reflection across the x axis

Step-by-step explanation:

triangle ABC is reflected across the x axis to create triangle DEF
we know this because the triangles are essentially mirrored about the x axis