A poll was conducted by a home mortgage company regarding home ownership in the United States. The company polled 1,488 Americans and found that 69% of those polled own a home. What is the approximate margin of error, assuming a 99% confidence level?

The best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.

The side lengths of the triangle are given as:

6 feet and 9 feet

Let the third side be x.

By triangle inequality theorem, we have:

a + b > c

So, we have

6 + 9 > x

6 + x > 9

9 + x > 6

Evaluate the inequalities

15 > x

x > 3

x > -3

Remove the negative inequality

15 > x

x > 3

Combine the inequalities

3 < x < 15

So, the maximum side is less than 15

Hence, the best conclusion for Ashlee to make is (c) Ashlee determined that the box must be less than 15 feet by verifying the triangle inequality theorem.

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The probability of obtaining a success is 0.010935.

Given that the probability of obtaining success is P(X>=5),n=6,p=0.3.

We are required to find the probability of obtaining a success if the probability is P(X>=5).

Probability is basically likeliness of happening an event among all the events possible.

Binomial distribution is basically the discrete probability distribution of the number of successes in a sequence of n independent experiments.

[tex](a+b)^{n} =nC_{0}p^{0} (1-p)^{n-0}+-----------nC_{n} p^{n} (1-p)^{0}[/tex]

We have to just put n=6 anr r=6 and 5 one by one to get the probability.

P(X>=5)=[tex]6C_{5}(0.3)^{5} (0.7)^{1} +6C_{6}(0.3)^{6} (0.7)^{0}[/tex]

=6!/5!1!8*0.00243*0.7+0.000729

=6*0.00243*0.7+0.000729

=0.010206+0.000729

=0.010935

Hence the probability of obtaining a success if the probability is P(X>=5) is 0.010935.

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Answer:

13

Step-by-step explanation:

This problem is a type of puzzle called a Number Pattern. Number patterns always follow a specific pattern. In this case, its +9, -3.

The first number in this pattern is 1.

The second number in this pattern is 10.

That is an increase of +9.

The third number in this pattern is 7

That is a decrease of -3.

The fourth number in this pattern is 16.

That is an increase of +9.

Therefore, we can conclude that the next number will have to be a decrease of -3.

16 - 3 = 13

That is your answer. I hope I helped. If you feel like this is the best answer, please rate brainliest.

Answer:

472.19

Step-by-step explanation:

$472.19 weekly

Thus the required weekly installment is $402.30 for 25 years.

Given,
The family borrowed $400,000 from the bank to purchase a new home.
the bank charges 3.8% interest per year, compounded weekly, it will take 25 years to pay off the loan. How much will each weekly payment to be determined?

Statistics is the study of mathematics that deals with relations between comprehensive data.

The principle amount to refund = 400,000
Let the principle amount for weekly = P
Rate per year = 3.8%
Tenure = 25 year
For weekly installments,
52 Weeks in a year
Tenure = 25/52

Now,
[tex]Amount = P(1-(1+r)^{-tn})/i\\400000 = P (1-(1+0.038/52)^{-25*52}) / (0.038/52)\\400000 * 0.038/52 = P(1-(52.038)^{-25*52})\\292.30 = P(1-(1.001)^{-1300})\\292.30 = P(1-0.273)\\292.30=P * 0.727\\P = 402.30[/tex]

Thus the required weekly installment is $402.30 for 25 years.

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a. The value of cos2θ = -119/169

b. The value of cosθ = -5/13

The question involves trigonometric identities

Trigonometric identities show the relationship between trigonometric ratios.

Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.

Using trigonometric identity

cos2θ = 1 - 2sin²θ

Substituting sinθ = 12/13  into the equation, we have

cos2θ = 1 - 2sin²θ

cos2θ = 1 - 2(12/13)²

cos2θ = 1 - 2(144/169)

cos2θ = 1 - 288/169

cos2θ = (169 - 288)/169

cos2θ = -119/169

So, the value of cos2θ = -119/169

Since sinθ = 12/13 and θ is the quadrant II, it means that 90° ≤ θ ≤180° and sinθ is positive.

Using trigonometric identity

cosθ = √(1 - sin²θ)

Substituting sinθ = 12/13  into the equation, we have

cosθ = √(1 - sin²θ)

cosθ = √[1 - (12/13)²]

cosθ = √[1 - (144/169)]

cosθ = ±√(169 - 144)/169

cosθ = ±√25/169

cosθ = ±5/13

θ is the quadrant II, it means that 90° ≤ θ ≤180° it means that cosθ is negative.

So, cosθ = -5/13

So, the value of cosθ = -5/13

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Answer:

2

Step-by-step explanation:

Substitute:

2(1)(3)+2 / 2(1)(3)-2 =

6 + 2 / 6 - 2 =

8 / 4 =

2.

Hey there!

2ab + 2 / 2ab - 2

= 2(1)(3) + 2 / 2(1)(3) - 2

= 2(3) + 2 / 2(3) - 2

= 6 + 2 / 6 - 2

= 8 / 4

= 2

Therefore, your answer should be: 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

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

Given series:

We notice that this is a geometric progression.

The common ratio is:

To find the next term multiply the last term by the common ratio:

The 4th term is:

Answer:

  x = 8

Step-by-step explanation:

Diagonals of a kite cross at right angles. That gives us a relation that can be solved for x.

The measure shown is equal to the angle measure of 90°.

  14x -22 = 90

We can solve this 2-step linear equation in the usual way.

  14x = 112 . . . . . . step 1, add the opposite of the constant to get x alone

  x = 112/14 = 8 . . . step 2, divide by the coefficient of x

The value of x is 8.

The polynomial equation x³ + 2x² + 4x+8 can be expressed as the method of factor polynomial exists (x² + 4)(x + 2).

The factoring process concerns removing factors from an experiment and then using them in the analytical method of factor analysis.

Polynomials exist as expressions with one or more terms with a non-zero coefficient. A polynomial can contain more than one term.

A mathematical expression of one or more additional algebraic terms each of which consists of a constant multiplied by one or more variables presented to a nonnegative integral power.

Given: x³ + 2x² + 4x+8

x³ + 2x² + 4x+8 = 0

simplifying the equation, we get

(x³+2x²)+(4x+8 )= 0

x²(x+2)+4(x+2)= 0

factorizing the above equation, we get

(x+2)(x²+4) = 0

Therefore, the polynomial equation x³ + 2x² + 4x+8 can be expressed as the method of factor polynomial exists (x² + 4)(x + 2).

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Considering the vertex of the quadratic equation, the maximum height that the object will reach is of 80 feet.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, the equation is:

f(t) = -16t² + 64t + 16.

Hence the coefficients are:

a = -16, b = 64, c = 16.

The maximum value is found as follows:

[tex]y_v = -\frac{64^2 - 4(-16)(16)}{4(-16)} = 80[/tex]

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Answer:

[tex]512 ^{2} [/tex]

the area of the picture

Answer:

210

Step-by-step explanation:

[tex]512=2^9 \\[/tex] has 9 prime factors

Now, if you want to maximize the number of different prime factor, apply the following method: let [tex]p(n)[/tex]  be the nth prime number, in increasing order. Let [tex]v[/tex]  define as follow :  [tex]v(0)=1,v(n+1)=v(n)p(n+1)[/tex] , and find n  such that [tex]v(n) < 1000,v(n+1) > 1000[/tex]. n will be the number of factors and v(n) your integer.

[tex]v(1)=2v(0)=2v(2)=3v(1)=6v(3)=5v(2)=30v(4)=7v(3)=210v(5)=11v(4)=2310[/tex]

There you are,  210 , with only 4 different prime factors.

→Credits: Xavier Dectot←

Answer:

3 :8

Step-by-step explanation:

12 : 32 = 3:8

I believe that is right.

The inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]x=g(y)=-\frac{y}{3}+1[/tex].

Here, the given function is [tex]f(x)=-3x+3[/tex].

Then we get:

[tex]y=-3x+3\\\Longrightarrow x=-\frac{y}{3}+1[/tex]

Thus, the inverse function of the function [tex]f(x)=-3x+3[/tex] will be [tex]g(x)=-\frac{x}{3}+1[/tex].

The graph representing this inverse function is given as follows:

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Answer:

This is an example of correlation because there is an obvious relationship between the two scenarios

Step-by-step explanation:

This is not cause-and-effect therefore cannot be causation or "cause"

Answer:

X is less than and equal to 4

Answer:

67.5 - 67.5 - 45 °

Step-by-step explanation:

Sum of INTERIOR angles of a polygon

  (n-2) * 180      <====ya just have to remember/know this !

n is the number of sides     n = 8 in this case

(8-2)*180 = 1080 °     < === this is the SUM of the 8 interior angles

        EACH interior angle is then   1080 / 8 = 135 °

  you can see from the picture that each of the two outside angles of the green triangle are 1/2 of this = 67.5° each

   so the triangle measurements are

              67.5 - 67.5 - 45     ( they have to sum to 180 for triangle)

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

According to the statement

we have given that the some values of the temperatures and we have to write it in the order from the coolest to the warmest means in increasing order.

So, For this purpose,

The given values of temperatures are:

3°C , -7°C , 2°F, 262 K

Firstly convert into one form

So, convert all values in Celsius form,

3°C = 3°C

-7°C = -7°C

2°F = -16.7°C

262 K = -11.15°C

Now arrange into the order from coolest to warmest

So, it will become

-16.7°C > -11.15°C > -7°C > 3°C

So, -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

The order of temperature values become -16.7°C > -11.15°C > -7°C > 3°C And -16.7°C is the coolest temperature and 3°C is the warmest as compare to others.

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The estimated number of trout that is present in a random sample of 5,000 fish is 1429

The table of values is given as:

Type of Fish Piranha Catfish Trout

Number of fish 120 230 140

The proportion of fish that are trout is calculated as:

Trout = 140/(120 + 230 + 140)

Evaluate the sum

Trout = 140/490

Simplify the fraction

Trout = 2/7

The number of trout that is present in a random sample of 5,000 fish is calculated as:

Trout = 2/7 * 5000

Evaluate the product

Trout = 1429

Hence, the estimated number of trout that is present in a random sample of 5,000 fish is 1429

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Answer:$375

Step-by-step explanation: To find the average, we need to add all of the numbers up and divide by the number of numbers in the set. Since there are 4 deposits, to get an average of #365, Jen needs to have deposited 365x4 = $1460 in total. Now, it is pretty easy to find the answer. We add up her 3 deposits: 325+280+480 = $1085 and see that it is still $375(1460 - 1085) short. So, Jen needs to deposit $375 on her fourth deposit to have an average of $365.

The minimum surface area that such a box can have is 380 square

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

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No the parents do not feel differently as they used to feel twenty years ago

Given :-

Po: p=0.46

Pa: p NE 0.46

alpha=0.01

Test statistic is one sample proportion [tex]z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}[/tex]

Critical value z> |2.576|

z=0.025/0.0176

=1.418

This is a p-value of 0.078

Fail to reject Po  and insufficient evidence to support the claim that parents feel differently.

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The y factors of the given quadratic equation is -1 and 40/22.

According to the statement

we have given that the equation and we have to find the factors of those equation.

So, The given equation is:

[tex]Y =x^2-23x^2 + 18x+40[/tex]

where y is the factors of that equation.

So, we have to find the factors of the given quadratic equation.

[tex]x^2-23x^2 + 18x+40 = 0[/tex]

Then after solving it become

[tex]-22x^2 + 18x+40 = 0[/tex]

Then take negative sign common from it then

[tex]22x^2 - 18x - 40 = 0[/tex]

Make the factors of this quadratic equation

[tex]22x^2 + 22x -40x - 40 = 0[/tex]

Now take common values 22x and 40 from the equation then

[tex]22x (x + 1) -40 (x + 1) = 0[/tex]

Then it become

[tex](22x - 40) (x + 1) = 0[/tex]

Then the values of x become from the equation is

[tex]x = -1, x= 40/22[/tex]

The value of the factors y is -1 and 40/22.

So, The y factors of the given quadratic equation is -1 and 40/22.

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Answer:

4.12 miles

Step-by-step explanation:

Use distance formula

d^2 = (-8- -4)^2 + ( -9 - -10)^2

d^2 =   16   +   1

d^2 = 17

d = sqrt 17 = 4.12 miles

Answer:

true, it will always divide the opposite side in halff

Step-by-step explanation:

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

The statement " Any altitude of an equilateral triangle is also a median of the triangle " is true

because if we take altitude from any side of an equilateral triangle to its opposite side. it wil make 90° and by using congruency, the two newly formed truangles will be congruent to each other, hence by using the results of congruency, we can get the two pasrts of the side on which attitude was dropped to be equal.

[tex] \qquad \large \sf {Conclusion} : [/tex]

Yes ! Altitude of an equilateral angle triangle from any side is also a median.

Answer: (x-2)

Step-by-step explanation:

This problem is a middle-term factorization, or factoring by splitting the middle term.

We have the equation

x^2 - 18x + 32

This equation represents the area, and area = length x width for all rectangles. We also know the width, x-16, which makes it easier for us. The length must also be in the same format.

x^2 - 18x + 32

= x^2 - 16x - 2x + 32

= x(x-16) - 2(x - 16)

= (x-16) (x-2) -------> we get this through taking (x-16) common

We could also pretend that the length is x - y, where y is the number we need to finish the equation.

x^2 - 18x + 32

= (x-16) (x-y)

= x^2 -16x - xy + 16y

-16 minus 2 is -18, which is our middle term.

Therefore, y = 2. This is also verified because is 16y = 32, the constant term, then through transposing we get y = 2.

Our answer is that the length is (x-2).

Answer:

21%

Step-by-step explanation:

($63*100%) / $300 = 21%