A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

Answer:

x + y = 10,999.5 (rounded up to 11000)

x - y =  3,000.3 (this would be rounded down to 3000)

Step-by-step explanation:

Assume;

Two numbers are x, y

So,

x + y = 11,000 .......eq1

x - y = 3,000 .........eq2

eq1 + eq2

So,

2x =14,000

x = 7,000

So y = 4,000

For rounding number

x = 6,999.9 (rounded up to 7,000)

y = 3,999.6 (rounded up to 4,000)

Sum;

x + y = 10999.5 (rounded up to 11000)

x - y =  3000.3 (this would be rounded down to 3000)

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

Step-by-step explanation:

distributive property is a*(b+c) = a*b + a*c

20+16 = 4* (5+4)

Answer:

The point-slope form of the equation of the parallel line is y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercepts

The slope-intercept form of the linear equation is y = m x + b, where

The point-slope form is of the linear equation is y - y1 = m(x - x1), where

∵ The equation of the given line is y = [tex]\frac{3}{4}[/tex] x - 3

→ Compare it with the first form of the equation above

∴ m =  [tex]\frac{3}{4}[/tex]

∴ The slope of it is  [tex]\frac{3}{4}[/tex]

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is  [tex]\frac{3}{4}[/tex]

∵ The point-slope form is y - y1 = m(x - x1)

→ Substitute the value of the slope in the form of the equation above

∴ y - y1 =  [tex]\frac{3}{4}[/tex] (x - x1)

∵ The line passes through the point (4, 3)

∴ x1 = 4 and y1 = 3

→ Substitute them in the equation above

∴ y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

∴ The point-slope form of the equation of the parallel line is

    y - 3 =  [tex]\frac{3}{4}[/tex] (x - 4)

Answer:

Step-by-step explanation:

The graph is proportional because

it is in a straight line in the graph.

Hope this helps! <3

Answer:

Your answer is: Look Below

Step-by-step explanation:

Hope this helped : )

Complete Question

find a vector function that represents the curve of intersection of the two surfaces. The cylinder  [tex]x^2+y^2= 36[/tex] an the surface [tex]z=xy[/tex]

Answer:

The function is  [tex]r(t) =  6cos(t) \ i + 6sin (t) \ j +  36costsint \ k[/tex]

Step-by-step explanation:

From the question we are told that

   The equation of the cylinder is  [tex]x^2+y^2= 36[/tex]

   The equation of the surface is  z = xy

Generally the general form of this  function is  

      [tex]r(t) =  x(t)i + y(t)j +  z(t) k[/tex]

Generally to confirm the RHS and the LHS of the equation for the cylinder

Let take x (t) =  6cos(t)

and        y(t) = 6sin (t)

So

        [tex]x^2  +  y^2  = [ 6cos(t)]^2 + [6 sin (t)]^2[/tex]

=>     [tex]x^2  +  y^2  = 6^2 cos^2t + 6^2 sin ^2t[/tex]

=>      [tex]x^2  +  y^2  = 6^2 [cos^2t +  sin ^2t] [/tex]    

Generally  [tex]cos^2t +  sin ^2t = 1[/tex]

So

        [tex]x^2  +  y^2  = 36[/tex]  

So at  x (t) =  6cos(t) and  y(t) = 6sin (t) the RHS is equal to LHS

  So

   [tex]z(t) = x(t) *  y(t)[/tex]

    [tex]z(t) = (6 cos(t)) *  (6 sin(t))[/tex]

=>     [tex]z(t) =36costsint[/tex]

So the function is  

     [tex]r(t) =  6cos(t) i + 6sin (t) j +  36costsint k[/tex]

Answer:

[tex]\frac{5}{3}[/tex] is the slope of the line

Step-by-step explanation:

When two lines are perpendicular, their slopes are inverse.

[tex]\frac{3}{5}[/tex] becomes [tex]\frac{5}{3}[/tex] because they are inverse. Just flip the numerator (top number) and denominator(bottom number).

Hope this helps!

Answer:

45 with a remainder of 27.

Step-by-step explanation:

Hope this helps you! Good luck! <3

Answer:

X=6 3/4

Step-by-step explanation:

IF X=9-9/4(X=9-2 1/4) THEN X=6 3/4. HOPE THIS HELPS

Answer:

[tex] \large{3 \times 3 - 2 \times 2}[/tex]

[tex] \large{9 - 4}[/tex]

[tex] \large{5}[/tex]

Answer:

18 weeks

Step-by-step explanation:im gay

Answer:

2.4 cm

Step-by-step explanation:

i hope that I helped you.

Answer:

90 minutes

Step-by-step explanation:

Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.

Answer:

(x)^2+(5)^2=(9)^2

Step-by-step explanation:

(a)^2+(b)^2=(c)^2

(x)^2+(5)^2=(9)^2

x^2+25=81

-25 -25

x^2=56

x=28

p.s. this ^2 means squared

9514 1404 393

Answer:

  62.6 seconds

Step-by-step explanation:

We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

__

For Bill's balloon, the two given points are ...

  (t, h) = (-5, 1032) and (5, 985)

Then the equation is ...

  h = (985 -1032)/(5 -(-5))(t -(-5)) +1032

  h = -47/10(t +5) +1032

__

For Jerry's balloon, the two given points are ...

  (t, h) = (0, 0) and (5, 57)

Then the equation is ...

  h = (57-0)/(5-0)(t -0) +0

  h = (57/5)t

__

The heights are equal when ...

  -47/10(t +5) +1032 = (57/5)t

  1008.5 = t(57/5 +47/10) = 16.1t

Then the time until heights are the same is ...

  t = 1008.5/16.1 ≈ 62.6 . . . seconds

Answer:

Austin is correct.

Step-by-step explanation:

19.5 has a tens, ones, and tenths place. 8.21 has a ones, tenths, and hundredths place.

Answer:

Neither are correct.

Step-by-step explanation:

8.21:

Tens Place - 0

Ones Place - 8

Tenths Place - 2

Hundredths Place - 1

19.5:

Tens Place - 1

Ones Place - 9

Tenths Place - 5

Hundredths Place - 0

None of the places are in common, so neither Jeffery nor Austin is correct.

Answer:

Step-by-step explanation:

The above two expressions can be used to find the percentage of mark-up for the phone.

The first expression for instance will give;

[tex]= \frac{100 * (281.20 - 152)}{152}\\\\= \frac{12,920}{152}\\\\= 85[/tex]

= 85%

The second expression will give;

[tex]= (\frac{281.20}{152}-1 ) * 100\\\\= 0.85 * 100\\\\= 85[/tex]

= 85%

Both of them will show that an 85% mark-up has been added to the cost of the phone.

Your answer is -2 (aka option b that would be)

Answer:

n=1, :) :P UwU TwT -_-

Answer:

n = 1

Step-by-step explanation:

n-13=-12

n-13-(-12)=0

n-1=0

n=1

Answer:

44 ft/hr

Step-by-step explanation:

First, we convert miles to feet.

6 mi*5280 = 31680 feet

Now we convert a month to hours. For this question, lets say that a month is equal to 30 days.

30*24 hrs = 720 hrs

Now we have this speed -

31680 ft/720 hrs

Now we simplify this to -

44 ft/hr

So in conclusion, the speed of 6 miles per month is equivalent to the speed of 44 feet per hour.

Answer: The numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Step-by-step explanation:

We know that , for critical value of F, degrees of freedom for numerator = k-1

and for denominator = n-k, where n= Total observations and k = number of independent variables.

Here, Numbers of independent variables(k) = 5

Total observations (n)= 123

So, Degrees of freedom for numerator  = 5-1=4

Degrees of freedom for denominator =123-5= 118

Hence, the numerator and denominator degrees of freedom (respectively) for the critical value of F are 4 and 118 .

Answer:

radical sign of -233

Step-by-step explanation:

Answer:

Step-by-step explanation:

We have to find the value of the expression i^{233}i

233

We know that the below values.

i

2

=−1

i

4

=1

​

Hence, in order to find the value of the given expression, we can first rewrite it in terms of i^4i

4

i^{233}=(i^4)^{58}

233

=(i

4

)

58

⋅i

Now, we know that i^4=1i

4

=1

Hence, we have

i^{233}=(1)^{58}

233

=(1)

58

⋅i

i^{233}=

233

=1⋅i

i^{233}=ii

233

=i

Answer:

adjacent

Step-by-step explanation:

this just means they are next to each other, like they share a ray

Answer:

they are adjacent

Step-by-step explanation:

Adjacent means they are next to each other; and both these angles are right beside each other

Answer:

8*90 + 8*9 = 760

Step-by-step explanation:

Because, 8(95) just means 8 times 95 so you just distribute 8 to 90 and 5.