There are around 6,678,000 households with pet rabbits in the United States. There are about 126.2 million households in the U.S. According to these figures, what is the approximate percentage of U.S. households with pet rabbits?

Answer:

The 90% confidence interval is  [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

Step-by-step explanation:

From the question we are told that

   The sample mean for men is  [tex]\= x_1 = 64.5 \ years[/tex]

    The sample mean for women is  [tex]\= x_2 = 63.6 \ years[/tex]

     The sample size for men  is   [tex]n_1 = 35[/tex]

      The sample size for women is  [tex]n_2 = 39[/tex]

      The standard deviation for men is [tex]s_1 = 3.0[/tex]

       The standard deviation for women is  [tex]s_2 = 3.5[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645 [/tex]

Generally the standard error is mathematically represented as

     [tex]SE = \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2}{n_2} }[/tex]

=>  [tex]SE = \sqrt{\frac{3^2 }{35} + \frac{3.5^2}{39} }[/tex]

=>  [tex]SE = 0.7558[/tex]

Generally the margin of error is mathematically represented as

       [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

=>     [tex]E = 1.645 * 0.7558[/tex]

=>     [tex]E = 1.2433[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex](\= x_1 - \= x_2) -E <  \mu_1 - \mu_2 <  (\= x_1 - \= x_2) -E [/tex]

=>    [tex](64.5 - 63.6) -1.2433<  \mu_1 - \mu_2 <(64.5 - 63.6) +1.2433[/tex]

=>    [tex] -0.3433<  \mu_1 - \mu_2 < 2.1433[/tex]

Step-by-step explanation:

(14)/(5)=(x)/(25)

We move all terms to the left:

(14)/(5)-((x)/(25))=0

We add all the numbers together, and all the variables

-(+x/25)+14/5=0

We get rid of parentheses

-x/25+14/5=0

We calculate fractions

There is no solution for this equation

Answer:

1233

Step-by-step explanation:

kieley

Answer:

80

Step-by-step explanation:

180-100+80.

Answer:

Rise = 0

Run = 4

Slope = 0

Step-by-step explanation:

Slope of straight line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

Since, given line is passing through two points (-2, -3) and (2, -3),

Rise of the line = -3 - (-3) = 0

Run of the given line = 2 - (-2) = 4

By substituting these values of rise and run in the formula,

Slope = [tex]\frac{0}{4}[/tex]

          = 0

Therefore, Rise = 0

                  Run = 4

                 Slope = 0

Note:  Slope of a line parallel to the x-axis is zero.

           Slope of a line parallel to y-axis is not defined.

Step-by-step explanation:

f(3)=2(3)+1

6+1

7

answer is 7

Answer:

f(3)=15

Step-by-step explanation:

just put 3 instead of x

Answer:

Step-by-step explanation:

21/6 = 3.5. This means each pie requires about 3.5 cups of apples. So, 3.5x10 = 35 cups of apples needed overall

Answer:

35 cups of apples

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula for this is

[tex]A(t) = P(1+\frac{r}{n})^{nt}[/tex] where A(t) is the amount at the end of this whole mess, P is the initial investment, r is the interest rate as a decimal, n is the number of times the compounding is done per year, and t is the number of years. Filling in accordingly:

[tex]A(t)=5000(1+\frac{.07}{4})^{(4)(10)}[/tex] which simplifies a bit to

[tex]A(t)=5000(1+.0175)^{40[/tex] and a bit more to

[tex]A(t)=5000(1.0175)^{40}[/tex] Take care of the exponent first to get

A(t) = 5000(2.001597343) and multiply through to get

A(t) = 10,007.99

Answer:

$10048.31

Step-by-step explanation:

Answer:

since .45 times 1 = .45 plus  __ zeros bascially move the decimal ____ times (the amount of zeros)

Step-by-step explanation:

weebs rule

Since .45 times 1 = .45 plus 2 zeros basically move the decimal 4 times

Answer:

A and D are 87 degrees

C is 28 degrees

and B is 65 degrees

Step-by-step explanation:

28 degrees and c are congruent

a and d are congruent

65 degrees and b are cungruent

B(65)+28+D= 180

65+28= 93

93+D=180

D=87

A=D(87)

Answer:

B

Step-by-step explanation:

The effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)

Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given two functions, f(x) and h(x). Also, the function f(x) = x² is transformed to form h(x) = 2x² + 15. Therefore, we can write the transformation as,

f(x) vertically streched by a factor of2  first, Therefore,

g(x) = 2f(x)

      = 2x²

Now, the function g(x) is moved up by 15 units, therefore,

h(x) = g(x) + 15

      = 2x² + 15

Hence, the effect on the graph of f(x)=x² when it is transformed to h(x)=2x²+15 is the graph of f(x) is vertically streched by 2 and moved up by 15 unit.

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Answer:

d number is the correct answer of the question

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B. relative minimum

Step-by-step explanation:

This is because a relative minimum is a point where decreasing turns to increasing, but an ABSOLUTE minimum is a point where the line cannot go any lower, whatsoever.

The factor of the equation 4x² + 12x + 9 is 2x+3. Then the correct option is A.

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

The factor of the polynomial is calculated as:-

4x² + 12x + 9 = 4x² + 6x + 6x + 9

                     = 2x ( 2x + 3 ) + 3 ( 2x + 3 )

                     = (2x + 3)(2x + 3)

The factor is (2x + 3). Hence, the correct option is A.

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Answer:

it goes 4233 miles

Step-by-step explanation:

sorry if am wrong luv!

Oh thats so sad :((((

Answer:

A) DF= 11

B) JH= 13.6

C) GJ= 23.6

D) m∠F= 105

E) m∠G= 34

F) m∠J= 41

Step-by-step explanation:

Step-by-step explanation:

y = 3 is a horizontal line. A line that is parallel would also have the general equation y = c.

Since it passes through (-2, -8) with y-coordinate -8, the line equation is y = -8. (C)

Answer:

Bert is 11 years old and Max is 17 years old.

Step-by-step explanation:

System of Equations

To solve the system of equations, we use two variables x and y. Let's make:

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem, five years ago, Max was twice as old as Bert, thus:

x - 5 = 2(y - 5)        [1]

It's also known a year from now, the sum of their ages would be 30:

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

(2y - 5) + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3 = 11

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5 = 17

x = 17

Max is 17 years old and Bert is 11 years old

Answer:

1. <

2. <

3. >

Step-by-step explanation:

-8 is smaller than 8

the absolute value of -4 is 4, but there is another minus, so it becomes -4.  -4 is smaller than -2

-7 is bigger than -9

Answer:

Step-by-step explanation:

-8 < |8|

-|-4| < -2

-7 > -9

absolute value has the || sign around the number. If you see that, and there's a "minus" sign, then reverse it to a PLUS sign. Because absolute value is just how far away the number is to 0. So -8 is "8" to 0.

now if we have for example, -|-4| then it'd be -4 because |-4| is 4, but then -4 again cause there's a minus sign.

Answer:

Hello There!!

Step-by-step explanation:

The answer is 13% as you convert 2 3/5 to an improper fraction which is 13/5. Convert this into a decimal which is 2.6 . 2.6 ÷20=0.13 ×100 (to get it as a fraction) which equals 13%.

hope this helps,have a great day!!

~Pinky~

2 3/5 is equal to 13% of 20 by express the mixed number as an improper fraction and converting it into percentage.

To convert 2 3/5 to a percentage of 20,

Next, convert the improper fraction 13/5 to a decimal by dividing the numerator (13) by the denominator (5).

This gives us 2.6.

Express the decimal as a percentage, multiply by 100.

2.6 x 100 = 260%

This results in 260%. However, since 260% is larger than 100%,

Find the percentage of 260% by 20.

260%÷20

On dividing by 10 gives:

=26/2

On dividing by 2gives:

=13%

In conclusion, 2 3/5 is equal to 13% of 20.

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Answer:

Explicación más abajo

Step-by-step explanation:

Integración Indefinida

La integral

[tex]I=\int \dfrac{x .arcsen\left(x\right)}{\sqrt{1-x^2}}[/tex]

Se resuelve con el cambio de variables:

t=arcsen(x)

Una vez hechos los cambios, la integral se resuelve en función de t:

[tex]I=sen(t)-t.cos(t)+C[/tex]

Hay que devolver los cambios para mostrarla en función de x.

El cambio de variables también se puede escribir:

x=sen(t)

Recordando que

[tex]cos(t)=\sqrt{1-sen^2(t)}[/tex]

Entonces:

[tex]cos(t)=\sqrt{1-x^2}[/tex]

Devolviendo los cambios:

[tex]I=sen(t)-t.cos(t)+C=x-arcsen(x)\sqrt{1-x^2}+C[/tex]

Es la respuesta correcta

Answer:

40 men 50 women

Step-by-step explanation:

4/9 should be men, 5/9 should be women.

Answer:

A

Step-by-step explanation:

Answer:

10[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Let the width length be x.

Width length = x

Length = 2x + 4

Perimeter = width + length + width + length

                = x + 2x + 4 + x + 2x + 4

                = 6x + 8

6x + 8 = 28

6x = 28 - 8

    = 20

x = 20 ÷ 6

x = 3[tex]\frac{1}{3}[/tex]

Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4

                         = 6[tex]\frac{2}{3}[/tex] + 4

                         = 10[tex]\frac{2}{3}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

The height is 4 Ft.

Step-by-step explanation:

9*4=36

9 ft*4 ft=36 Ft.

Hope this helps

Answer:

y= 2x + 5

Step-by-step explanation: