suppose that a population parameter is 0.2, and many samples are taken from the population. As the size of each sample increases, the mean of the sample proportions would approach which of the following values?
A. 0.1
B. 0.3
C. 0.4
D. 0.2

Find the actual Dimensions of the triangle.

Multiply the size of the triangle on paper by 1.5 feet per inch:

Width = 5 x 1.5 = 7.5 feet.

Height= 7 x 1.5 =10.5 feet

Area of a triangle is 1/2 x base x height:

Area = 1/2 x 7.5 x 10.5 = 39.375 square feet.

Answer: 39.375 square feet.

The area of the actual banner is 39.375 feet²

Scaling is used to increase or decrease the size of a figure so as to create an image.

Given that 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, hence:

Base = 5 in * 1.5 feet per in = 7.5 feet

Height = 7 in * 1.5 feet per in = 10.5 feet

Area of the actual banner = (1/2) * 7.5 * 10.5 = 39.375 feet²

The area of the actual banner is 39.375 feet²

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Answer:

[tex]\frac{5}{36}[/tex]

Step-by-step explanation:

probability of desired outcome:

Number of desired outcomes/number of total outcomes

To find the numerator just count the number of times the condition is satisfied

I get 5

1,5

2,4

3,3

4,2

5,1

The number of total outcomes is just 6² or 36

So the final answer is just 5/36

Answer:

0.8 inches

Step-by-step explanation:

< R = 180-23-22 = 135°

the length of s = 1.5 × sin 23° / sin 135°

= 1.5 × 0.391 / 0.707 = 0.5865/0.707

= 0.8 inches

Answer:

A=38.88 or 38.9

Step-by-step explanation:

If both are similar then the 9 and the 7.2 are the same

9-7.2= 1.8

9x6=54

7.2-1.8=5.4

7.2x5.4=38.88 or 38.9

Answer: i think true

Step-by-step explanation:

Answer:

16.73 I THINK

Step-by-step explanation:

my guess is n1 is relating to the 4.9, and if it then you would do the Pythagorean theorem. because the degrees are there to let you know it's a right angle and you are able to use the theorem..... so -

4.9^2 + 4.9^2 =C^2

48.02 =C

√48 = 6.93 (rounded to nearest hundredth)

then you add them all together

4.9+4.9+6.93=16.73

Answer:

Gretchen charges $12 dollars per hour

Step-by-step explanation:

$18/1.5=$12

Answer:

okie we will try our best

Answer:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

c

Step-by-step explanation:

The hypotenuse. Since it is the opposite of the right angle

The largest number is the hypotenuse

therefore, 15 is the answer.

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

Trapezoid Area =

[ ( Sum of the rules ) × ( height ) ] ÷ 2

_________________________________

Area = [ ( 2 + 3 ) × 3 ] ÷ 2

Area = [ 5 × 3 ] ÷ 2

Area = 15 ÷ 2

Area = 7.5 m^2

Answer:

≠

Step-by-step explanation:

Sorry I just need 20 Characters

Answer:

≠

Step-by-step explanation:

Because 3/8 is 0.375, 8/15 is 0.53( with the 3 repeated). The decimal values aren't the same so the answer is that these 2 fractions are not equivalent.

Answer:

[tex]f + e + d = 360^o[/tex]

Step-by-step explanation:

The question is incomplete, as what is required is not stated and the triangle is not given.

So, I will solve generally.

The proof is as follows (see attachment for triangle)

From the attachment, we have:

[tex]a + f = 180[/tex]

[tex]b + e = 180[/tex]

[tex]c + d = 180[/tex]

Make f, e and d the subject

[tex]f = 180 - a[/tex]

[tex]e = 180 - b[/tex]

[tex]d = 180 - c[/tex]

Add up the equations

[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]

Collect like terms

[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]

[tex]f + e + d = 540-a- b - c[/tex]

We have:

[tex]f + e + d = 540-(a+ b + c)[/tex]

[tex]a + b + c \to 180[/tex] --- angles in a triangle

So, we have:

[tex]f + e + d = 540-180[/tex]

[tex]f + e + d = 360^o[/tex] --- proved

Answer:

c

Step-by-step explanation:

right on plato

Answer:

False because 1/2 would be half the number 2/2 or 1 would be the whole number so 3/2 would be a whole and half or 1 1/2

Answer:

false

if the number is X

3/2 of X= X 1/2

[tex]x \frac{1}{2} > x[/tex]

Answer:

(-4, 16)

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  6

Step-by-step explanation:

The median is the middle number when they are sorted into order. If one of the numbers is 10, the remaining number must be any number less than 7. Of the offered choices, the only one less than 7 is 6.

__

The three numbers are 6, 7, 10.

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.

Answer:

slope=-9/2

y int- 6

Step-by-step explanation:

okay lets take two points

-2,15 and -6,33

the slope is 33-15/ -6-(-2)= 18/-4=-9/2

equation is y=mx+b where m is slope and b is y intercept

so plugging values in we get

15=-2(-9/2)+b

15=9+b

b=6

Answer:

30ft.

your welcome. ...................

Answer:

3603600

Step-by-step explanation:

I used my calculator

Answer:

Is there an image to visualize the field?

Step-by-step explanation:

I would love to help.

Answer:

b 112.80

Step-by-step explanation:

took test on edge

The interest that accrues on the initial down payment at 30% interest rate is  $408 .

The term interest refers to money that accrues on a principal sum. It is commonly employed in the parlance of borrowing money.

Since it is a compound interest;

A = P(1 + r/n)^nt

Where;

A = amount

P = principal

r = rate

n = number of times compounded per year

t = total time taken

A = 120(1 + 0.025)^12 × 5

A = $528

A = P + I

I = A - P

I = $528  - $120

I = $408

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sin

(

2

θ

)

=

2

(

3

5

)

(

−

4

5

)

=

−

24

25

Write the double-angle formula for cosine.

\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos

​2

​​ θ−sin

​2

​​ θ

Again, substitute the values of the sine and cosine into the equation, and simplify.

)Answer:

In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,

\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ

If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have

Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have

Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:

Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives

\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}

​tan(α+β)=

​1−tanαtanβ

​

​tanα+tanβ

​​

​tan(θ+θ)=

​1−tanθtanθ

​

​tanθ+tanθ

​​

​tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

​​

A GENERAL NOTE: DOUBLE-ANGLE FORMULAS

The double-angle formulas are summarized as follows:

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=

​1−tan

​2

​​ θ

​

​2tanθ

​​

HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.

Draw a triangle to reflect the given information.

Determine the correct double-angle formula.

Substitute values into the formula based on the triangle.

Simplify.

EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT

Given that

and \displaystyle \thetaθ is in quadrant II, find the following:

\displaystyle \sin \left(2\theta \right)sin(2θ)

\displaystyle \cos \left(2\theta \right)cos(2θ)

\displaystyle \tan \left(2\theta \right)tan(2θ)

SOLUTION

If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−

​4

​

​3

​​ , such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:

Now we can draw a triangle similar to the one shown in Figure 2.

Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.

Figure 2

Let’s begin by writing the double-angle formula for sine.

\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ

We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=

. Substitute these values into the equation, and simplify.

Thus,

​​

Solution

EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES

Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).

SOLUTION

c

Analysis of the Solution

This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.

Using Double-Angle Formulas to Verify Identities

Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.

EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY

Establish the following identity using double-angle formulas:

\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)

​2

​​

θ

)

Step-by-step explanation:

Answer:

Hello! answer: x = 20

Step-by-step explanation:

Because 3 multiplied by x which equals 20 gets us 60 then we just add the 2 and get 62 these are vertical angles so they will have the same measure hope that helps!

Answer:

I think it would be B.

Step-by-step explanation:

Since you aready have a 50% chance of landing on both heads or tails once. To land it on heads twice you would have a twenty five percent chance if you look at logic.  in which my dad would often say. Please mark the brainliest

Answer:

5x4x2

Step-by-step explanation:

The total area of the figure id 35 square cm.

The amount of space taken up by a two dimensional space is called area.

The formula for the area of a triangle is

[tex]A = \frac{1}{2} (b)(h)[/tex]

Where,

A is the area of triangle.

b is the base of a triangle.

h is the height of the triangle.

The formula for the area of square is

[tex]Area = a^{2}[/tex]

Where,

a is the side length of square.

According to the given question.

A triangle is resting on a square.

Side length of square, a = 5cm

So, the area of square = [tex]5^{2} = 25 square cm[/tex]

Also, a triangle with height 4cm.

Since, the triangle is resting on a square.

⇒ Base length of the triangle = 5cm

So, the area of triangle = [tex]\frac{1}{2} (5)(4)= 10 square cm[/tex]

Therefore,

The total area of the given figure  = Area of square + Area of triangle

⇒ Total area of figure = (25 + 10) square cm

⇒ Total area of figure = 35 square cm

Hence, the total area of the figure id 35 square cm.

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