Suppose a population parameter is 0.8, and many large samples are taken
from the population. If the sample proportions are normally distributed, with
95% of the sample proportions falling between 0.684 and 0.916, what is the
standard deviation of the sample proportions?

Answer:

[tex] f(-4) = \dfrac{1}{9} [/tex]

Step-by-step explanation:

[tex] f(x) = 9(3)^x [/tex]

[tex] f(-4) = 9(3)^{-4} [/tex]

[tex] f(-4) = 3^2 \cdot 3^{-4} [/tex]

[tex] f(-4) = 3^{-2} [/tex]

[tex] f(-4) = \dfrac{1}{9} [/tex]

Answer:

1/9

-------------

Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

B) 15 hours, 34 minutes

2:12 + 15 hours = 5:12 A.M

5:12 + 34 minutes = 5:46 A.M

Answer:

B. Yes, quadrilateral WXYZ is rhombus because the sides are perpendicular.

Step-by-step explanation:

1) according to the given coordinates the equations of the sides are:

YZ: y=2; WZ: x=2; WX: y=10; XY: x=10. It means

2) YZ⊥WZ; YZ⊥XY; WX⊥XY; WX⊥WZ. To the additional, WX=WZ=YZ=XY, then

3) the given quadrilateral is sqare (rhombus with angles m∠=90°).

4) finally, the correct answer is

B. Yes, quadrilateral WXYZ is rhombus because the sides are perpendicular.

answer:

Now I know My ABC next time won't you sing with me.

Answer:

22

Step-by-step explanation:

Is easy just multiple

Answer:

Step-by-step explanation:

To rotate any figure we have to have the CENTER of rotation!!!!

You did not provide us (your helpers) with that point, so I chose point on the horizontal mirror.

The curved surface area of the cone is 144 cm².

A cone is a three-dimensional object that consists of a circular base and an vertex.

curved surface area = πrl

Where:

3.14 x 3 x 23 = 144 cm²

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The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

An equation is an expression that shows the relationship between two or more variables and numbers.

In polar form:

r = √(x² + y²) and cosФ = x / √(x² + y²)

Hence:

r(1 - 2cosФ) = 1

√(x² + y²) [1 - 2(x / √(x² + y²))] = 1

√(x² + y²) - 2x = 1

Take square of both sides:

x² + y² - 4x√(x² + y²)  + 4x² = 1

The solution to the equation r(1 - 2cosФ) = 1 is given as x² + y² - 4x√(x² + y²)  + 4x² = 1

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Answer: -2

Step-by-step explanation:

I will assume you meant [tex]f(x)=2x^{2}+6x+6[/tex].

[tex]f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore \frac{f(-3)-f(-1)}{-3-(-1)}=\frac{6-2}{-2}=\boxed{-2}[/tex]

Similar triangles are those triangles whose corresponding sides are in the same ratio. The correct option is A.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same.

Since for the two of the given triangle, the measure of all the corresponding angles is the same. Also, all the corresponding sides are in a common ratio.

9/3 = 12/4 = 15/5 = 3

Therefore, the two of the given triangles are similar triangles.

Hence, the correct option is A.

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Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

Area of Floor = 21.6.m²

Area of tile = 288 cm² = 0.0288 m²

No. of tiles = Area of floor/ area of tile

= 21.6/0.0288

= 750

Answer:

Step by step explanation:

Given that,

[tex]f(x) = {x}^{2} [/tex]

[tex]g(x) = x - 1[/tex]

Solution:

Solving for (f•g)(x):

[tex] = f(x) \cdot g(x)[/tex]

Now substitute the given values.

[tex] = x {}^{2} \cdot(x - 1)[/tex]

[tex] = x {}^{2} (x - 1)[/tex]

Apply distributive property:

[tex] = (x ^{2} \cdot x) - x {}^{2} \cdot 1[/tex]

Hence,f•g(x) will be [tex] x {}^{3} - x {}^{2}[/tex].

Answer:

95%

Step-by-step explanation:

5 player won, meaning 95 player didn't.

This means that 95% of the players didn't win.

Answer:

It makes sense for Phil to sell his products online.

Step-by-step explanation:

Answer:

jxdhjsssdddddsssssdd

Answer:

increasing

Step-by-step explanation:

look left to right, line goes up

Answer:

L1 and L2 are parallel

BAC = 58° as it is given in the question that AB bisects DAC

similarly BCE = y°

angle B = 90° ( from figure)

Y + 58° + 90° = 180 ( angle Sum property of a triangle).

Y + 148° = 180°

Y = 180 - 148

Y = 32°

Using the relation between velocity, distance and time, it is found that:

Velocity is distance divided by time, that is:

[tex]v = \frac{d}[t}[/tex]

Flying against the wind, an airplane travels 2520 kilometers in 4 hours, that is:

[tex]v - v_w = \frac{2520}{4}[/tex]

[tex]v - v_w = 630[/tex]

[tex]v = 630 + v_w[/tex]

Flying with the wind, the same plane travels 9450 kilometers in 9 hours, hence:

[tex]v + v_w = \frac{9450}{9}[/tex]

[tex]v + v_w = 1050[/tex]

[tex]v = 1050 - v_w[/tex]

Hence, solving for the wind's speed:

[tex]630 + v_w = 1050 - v_w[/tex]

[tex]2v_w = 420[/tex]

[tex]v_w = \frac{420}{2}[/tex]

[tex]v_w = 210[/tex]

For the plane, we have that:

v = 1050 - 210 = 840.

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The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.

The missing graph is attached below.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Then the inequality will be

-3 ≤ x < 1

Then the correct option is A.

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Answer:

the answer is A

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of e:g is 2:7.

A ratio indicates how many times one number contains another.

Given:

e:f=3:7

f:g=2:3

Now take LCM of 2 and 7 i.e., 14.

e/f= 3/7= 3*2/7*2= 6/14

and, f/g= 2/3= 2*7/3*7= 14/21

So,

e/g= e/f *f /g

     = 6/14*14/21

     = 6/21

e:g = 2:7

Hence, the value of e:g is 2:7.

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5.9

Step-by-step explanation:

345√ is 18.6=3.14*r2 cuz formula

Is πr2

Answer:

C

Step-by-step explanation:

you are multiplying so it is the product of the three

2 ( ...  )    ( ... )

and you must solve the brackets first so C and not D

Answer:

Short leg: 9 in

Long leg: 40 in

Hypotenuse: 41 in

Step-by-step explanation:

This problem involves the Pythagorean Theorem, solving a system of equations, and solving a quadratic equation.

The Pythagorean Theorem applies because the question states this is a right triangle.  That is one equation.  

Two more equations come from descriptive relationships between various sides of the triangle.

Solving the system is done here with the Substitution Method, and solving the quadratic equation is done with factoring and the zero product property.  Other methods could be used, but there is a character limit, so we can't dive into every way to solve this.

Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex] where "c" is the hypotenuse of the right triangle.

"c" must be hypotenuse.

It doesn't matter which of the two legs' lengths is used for "a" & "b".  However, because of other parts of the question, we'll need to know which one is which.

The question refers back multiple times to one specific leg (the short one).  So, when we refer back to that leg in our equations, we need to make sure we're using the same leg each time.

Keeping track of which leg is which

Let's use "a" for the smaller leg, and "b" for the longer leg.

"c", as always, is the hypotenuse.

Next, the question gives two statements relating the side lengths of the triangle to each other.

For the first statement, "the length of the longer leg of a right triangle" (that's "b") "...is 13 inches more than three times the length of the shorter leg ("a").

Translating the first sentence into math:

[tex]b=3a+13[/tex]

Similarly from the second statement, we get:  [tex]c=3a+14[/tex]

Combining this with the Pythagorean Theorem, we have a system of 3 equations, and 3 unknowns.

[tex]b=3a+13[/tex]

[tex]c=3a+14[/tex]

[tex]a^2+b^2=c^2[/tex]

To solve a system of equations, there are two main methods:  

Either method can be used, but the substitution method is the most intuitive.

Substitution method

To solve a system with the substitution method, isolate variable in an equation, written in terms of the other variables, and substitute them in to try to get a single equation with a single unknown.

Looking at our system, the first two equations already have "b" and "c" isolated in terms of "a".  If we substitute both of these into the third equation, we'll have a single equation in terms of a, and can attempt to solve it.

[tex]b=3a+13[/tex]

[tex]c=3a+14[/tex]

[tex]a^2+b^2=c^2[/tex]

Substituting...

[tex]a^2+(3a+13)^2=(3a+14)^2[/tex]

Rewrite the square binomials as a product...

[tex]a^2+(3a+13)(3a+13)=(3a+14)(3a+14)[/tex]

Apply FOIL (a combination of the distributive property, the commutative properties of multiplication, and combining like terms)...

[tex]a^2+(9a^2+39a+39a+169)=(9a^2+42a+42a+196)\\a^2+(9a^2+78a+169)=(9a^2+84a+196)\\[/tex]

Observe that the equation is a degree-2 polynomial (polynomial with highest power of 2; aka quadratic).  Move all terms to one side to get the equation equal to zero in preparation for solving:

[tex]a^2+(9a^2+78a+169)=(9a^2+84a+196)\\a^2+9a^2+78a+169-(9a^2+84a+196)=0\\a^2-6a-27=0\\[/tex]

There are a few ways to solve this, including the quadratic formula.  However, factoring the polynomial and using the zero product property is quite efficient here:

Factoring to solve a Quadratic

Since the leading coefficient is 1, we can use the shortcut and find factors of -27 that add to make -6.

-27 has factor pairs of:

3 and -9 add to make -6, so factoring the polynomial is

[tex]a^2-6a-27=0\\(a+3)(a-9)=0[/tex]

Applying the zero product property...

[tex](a+3)=0[/tex] or [tex](a-9)=0[/tex]

So a=-3 or a=9.  Given that this represents a length in a triangle, we discard the negative solution.  So a=9.

Finding the other two unknowns

To finish up, substitute the "a" back into the two equations for "b" and "c".

[tex]b=3a+13\\b=3(9)+13\\b=27+13\\b=40[/tex]

[tex]c=3a+14\\c=3(9)+14\\c=27+14\\c=41[/tex]

The original problem set up our measurements in inches, so all three values are measured in inches.

Remember which length was which

"a": short leg

"b": longer leg

"c": hypotenuse

Short leg: 9 in

Long leg: 40 in

Hypotenuse: 41 in.

After factorizing the given equation, we can find the three iterations by putting the consecutive values of x.

The given equation is 3∧x = 2∧(-x) + 4. We can modify it as shown below:

Take logarithm on both the sides

log(3∧x) = log[2∧(-x) + 4]

xlog3 = log[2∧(-x) + 4]

x = log[2∧(-x) + 4] / log3

For the first iteration, put x = 1

x = log[2∧(-1) + 4] / log3

x = log4.5 / log3

x = 0.477

For the second iteration, put x = 2

x = log[2∧(-2) + 4] / log3

x = log4.25 / log3

x = 0.477

For the third iteration, put x = 3

x = log[2∧(-3) + 4] / log3

x = log4.125 / log3

x = 0.477

So, this is how we can find three iterations.

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Answer:

56x² + 8x

(second option listed)

Step-by-step explanation:

area: length × width

length: 7x + 1

width: 8x

(8x)(7x + 1)

{distribute 8x}:

(8x)(7x):  8x × 7x = 8 · 7 · x · x = 56 · x · x = 56x²

(8x)(1) = 8x

area = 56x² + 8x

so, the area of this rectangle is 56x² + 8x

Answer:

56x² + 8x

[answer B]

The probability of getting two correct answers will be 0.0625.

The probability of getting two correct answers will be:

Probability of getting the correct answer will be:

= 1/4 = 0.25

The probability of getting two correct answers will be:

= 0.25 × 0.25

= 0.0625

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Answer: 70/29

Step-by-step explanation:

[tex]S=\theta r\\\\35=14.5 \theta\\\\\theta=\frac{35}{14.5}=\boxed{\frac{70}{29}}[/tex]