The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1. Which
statement is true if we are testing the null hypothesis at the 95% confidence level?

—ANSWER OPTIONS—

A The difference of the two means is significant, so the null hypothesis must be rejected.

B
The difference of the two means is significant, so the null hypothesis must be accepted.

C
The difference of the two means is not significant, so the null hypothesis must be rejected.

D
The difference of the two means is not significant, so the null hypothesis must be accepted.

Answer:

4cm ×6cm(parallelogram)

Answer:

option 2

Step-by-step explanation:

Using trigonometric ratio:

[tex]Cos \ 60 = \frac{adjacent } {hypotenuse} \\\\\frac{1}{2} = \frac{4}{u}\\\\1 \times u = 2 \times 4 \\\\u = 8[/tex]

Now using Pythagoras theorem we will find v

[tex]8^2 = 4^2 + v^2\\\\64 = 16 + v^2\\\\v^2 = 64 - 16 \\\\v = \sqrt{48} = \sqrt{16 \times 3} = \sqrt{4^2 \times 3 } = 4\sqrt{3}[/tex]

By using trigonometric relations, we will see that v = 4*√3 and u = 8

Here we have a right triangle, we can use trigonometric relations to find the missing sides.

We can see that v is the opposite cathetus of the 60° angle, then we can use the relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing what we know, we get:

tan(60°) = v/4

4*tan(60°) = v = 4*√3

To get the value of u, we use:

cos(a) = (adjacent cathetus)/(hypotenuse).

cos(60°) = 4/u

u = 4/cos(60°) = 2*4 = 8

Then we have:

v = 4*√3

u = 8

If you want to learn more about triangles, you can read:

https://brainly.com/question/17972372

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer:

x-intercept is (2,0)

y-intercept is (0,-8)

Step-by-step explanation:

to find the 'x-intercept', substitute zero for 'y' and solve:

4x - 0 = 8

4x = 8

x = 2;  x-intercept is (2,0)

4(0) - y = 8

0 - y = 8

y = -8; y-intercept is (0,-8)

Answer:

Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.

Step-by-step explanation:

Answer:

Step-by-step explanation:

El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:

Fórmula del área del polígono regular mediante su perímetro

cos 28°​cos 62°​– sin 28°​sin 62°​ = 0

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB             -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°​cos 62°​– sin 28°​sin 62°​

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62°     (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

Answer:

C. [tex]\frac{}{AB}[/tex]

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in [tex]_[/tex][tex]\frac{}{AB}[/tex] means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. B) is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. [tex]\frac{}{AB}[/tex]

Answer:

0.9 is the correct answer

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]

[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]

[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]

I hope it helps ┐(・_・┐)

Answer:

n = 64/9

Step-by-step explanation:

3√n=8

Divide each side by 3

3/3√n=8/3

sqrt(n) = 8/3

Square each side

(sqrt(n))^2 = (8/3)^2

n = 64/9

Answer:

n = 64 / 9

Step-by-step explanation:

3√n = 8

Divide both side of equation by 3

3√n / 3 = 8/3

√ n = 8 / 3

Square both side of equation

√n² = √(8/3)

n = 64/9

Answer:

1/80

Step-by-step explanation:

(the area of the small circle)/(the area of the larger circle)

= (π× 3²)/(π× 27²)

(=> eliminate π)

= 3²/27² = (1/9)² = 1/81

since the shaded area is inside the larger circle,

the geometric probability =

1/(81-1) = 1/80

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

Step-by-step explanation:

use the simple interest formula

Answer:

i dont know this sorry

Step-by-step explanation:

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

Answer:

x=0

Step-by-step explanation:

0/3 = 0

0+5=5

Answer:

9

Step-by-step explanation:

-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4

-5 + 9 = 5

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

Answer:

y=c - w

y=m+p

y=n+2g

y=c/3

y=w/a

y=w×c

y=2c×a

y=a-p

Step-by-step explanation:

crossing the equality sign

- = +

+ = -

× = ÷

÷ = ×

hope this would help

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Answer:

Point p

Step-by-step explanation

The first number in your point is on the x axis, but since it's 0 you don't move anywhere.  

The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.

When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.

Answer:

Answer:Uh oh! It looks like your question is missing some crucial information.

Step-by-step explanation:

You didn't include the"given line"

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

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

Work Shown:

A = h*(b1+b2)/2  .... area of trapezoid formula

A = 4*(7+3)/2

A = 4*(10)/2

A = 40/2

A = 20 square units

-----------

notes:

52km multiply by 4(days)=208

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]