use system of equations to solve it
A farmer who keeps goats and chickens boasted to another:
I have animals in the yard with 120 legs and only 37 heads. How many goats and how many chickens did he have?

The margin of error is 3.38.

Option B is the correct answer.

We have,

The margin of error can be calculated using the formula:

Margin of error = z x (s/√n)

where z is the z-score corresponding to the given confidence level.

For a 95% confidence level,

z = 1.96.

Substituting the given values, we get:

Margin of error

= 1.96 x (5.9/√12)

= 3.38

(rounded to two decimal places)

Therefore,

The margin of error is 3.38.

Learn more about the margin of error here:

https://brainly.com/question/10501147

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Answer:

a the answer is A

Step-by-step explanation:

Answer:

36.05

Step-by-step explanation:

20²+30²=1300

sqrt*1300=36.05551275464

Answer:

hypotenuse: 36.06 feet

using Pythagoras theorem:

a² + b² = c²

30² + 20² = c²

c² = 900 + 400

c² = 1300

c = √1300

c = 36.0555 feet

c = 36.06 feet

Answer: 0.6857

Step-by-step explanation: That is what I got when I did the math. Hope it helps and it is not wrong.

Have a good day!

Answer:

[tex]\frac{24}{35}\ or\ 0.6857[/tex]

Step-by-step explanation:

Step 1:  Convert to multiplication

[tex]\frac{3}{5}/\frac{7}{8}[/tex]

Since we have a division symbol we can change it to a multiplication by taking the reciprocal (flipped fraction) of the second fraction and change the division for multiplication.

[tex]\frac{3}{5} * \frac{8}{7}[/tex]

Step 2:  Multiply

[tex]\frac{3 * 8}{5*7}[/tex]

[tex]\frac{24}{35}[/tex]

Answer:  [tex]\frac{24}{35}\ or\ 0.6857[/tex]

Answer: the common factor is 2

Step-by-step explanation: 2d = 2 × d-10 = 2 × (-5)

Answer:

I assumed you were finding the volume sense you never specified so the volume is 1.61 ×10^7

Step-by-step explanation:

(l×w×h)/3 = (468×395×261)/3 = 1.61 ×10^7

Answer:

I don't understand this question...

Step-by-step explanation:

But If you want a fraction greater than 100% than you have to find a percentage that is greater than 100% and convert it into a fraction

Answer: In a fraction, when the numerator is smaller than the denominator, the percent is either between 1% and 100 % or less than 1 %. To make sure that the given fraction is less than 1%, better convert the given fraction into decimal and then convert into percent. In decimal, when the given value is greater than 1, the percent is greater than 100%.

Step-by-step explanation: (1) Divide number by the other number, then (2) multiply by 100 to convert the result to a %. (3) If both numbers are positive, and the resulting percentage is greater than 100%, the numerator is larger than the denominator.

Answer:

Just by looking at it i say yes!

Step-by-step explanation:

Please rate!

Answer:

I believe it is correct unless you had to do the parentheses first and solve those first and then subtract.

Step-by-step explanation:

the multiplication table is displayed in the screenshot (up to 12)

Answer:

x = 12

consider this a straight line:

A                        B                          C

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

solve for AB:

⇒ AB = AC - BC

⇒ AB = 2x - 7 - ( x - 3 )

⇒ AB = 2x - x - 7 + 3

⇒ AB = x - 4

solve for x:

⇒ x - 4 = 8

⇒ x = 8 + 4

⇒ x = 12

☆solve for AB:

→ AB = AC - BC

→ AB = 2x - 7-(x-3)

→ AB = 2x - x - 7+3

→ AB = x - 4

given, AB = 8

☆solve for x:

→ x - 4 = 8

→ x = 8 + 4

→ x = 12

Answer:

Hope this helps in every way!

Answer:

2 5/8

Step-by-step explanation:

simple met... I mean math :)

Answer:

yes

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] , then

[tex]\frac{9^2}{9^{7} }[/tex] = [tex]\frac{1}{9^{(7-2)} }[/tex] = [tex]\frac{1}{9^{5} }[/tex]

Polynomials are represented by graphs and equations

The equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

From the graph, the zeros of the polynomial are:

x = {-7, -6, 1}

So, the equation of the polynomial is:

[tex]y = (x + 7) * (x + 6) * (x - 1)[/tex]

Expand

[tex]y = (x^2 + 13x + 42) * (x - 1)[/tex]

Further, expand

[tex]y = x^3 + 13x^2 - x^2 + 42x - 13x - 42[/tex]

This gives

[tex]y = x^3 + 12x^2 + 29x - 42[/tex]

Hence, the equation of the polynomial is y = x^3 + 12x^2 + 29x - 42

Read more about polynomials at:

https://brainly.com/question/4142886

Answer:

each brother ate 1/10 of the cake

Step-by-step explanation:

1/5 divided by 2 is 1/10

Answer:

66.2 miles

Step-by-step explanation:

I used addition, since it says 40 less than Jake I added what he ran with how much less he ran.

40 + 26.2 = 66.2

Hope this helps!! :)

Answer:

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

Step-by-step explanation:

Find the GCF of the numbers 48, 6 and 26.  

The largest number each can be divided by is 2, which is the GCF.

Find the GCF of [tex]x^{2}, x^{3}, x^{6}[/tex]

The GCF is always the smallest exponent, so [tex]x^{2}[/tex] is the GCF

Combine the two GCF for the answer

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

Answer:

44.81%

Step-by-step explanation:

First determine the z-scores for 3.5 and 5.5 years. After matching the z-scores with the areas under the standard normal curve, subtract the smaller area from the larger area to solve.

Answer:

the nearest whole number is 133

Step-by-step explanation:

because the is no answer for that in the calculator

Answer:

see explanation

Step-by-step explanation:

To obtain a solution for [tex]cos^{-1}[/tex] (x) , then

- 1 ≤ x ≤ 1

That is the value of x cannot be greater than 1 or less than - 1

here x = [tex]\frac{5}{4}[/tex] = 1.25 which is greater than 1 , thus calculator will return ' error'

Answer:

A

Step-by-step explanation:

The graph of the quadratic function [tex]y=ax^2+bx+c[/tex]

does not intersect the x-axis, when [tex]D=b^2-4ac < 0\\[/tex]

touches the x-axis at one point, when [tex]D=b^2-4ac =0[/tex]

intersects x-axis at two points, when [tex]D=b^2-4ac > 0\\[/tex]

For the function[tex]y=4x^2+20x+25[/tex]  the discriminant D is,

This means that the graph of the function touches the x-axis at one point.

[tex]D=20^2-4(4)(25)=200-200=0[/tex]

Since [tex]y=4x^2+20x+25=(2x+5)^2[/tex]then the tangent point has x-coordinate at x=-2.5  (value at which y=0).

Therefore the correct choice is B.

To learn more about the tangent point visit:

https://brainly.com/question/13598644

The graph of the function f(x) = 4x² + 20x + 25 passes through the  x-axis at  –2.5.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The function is given as

f(x) = 4x² + 20x + 25

On factorization, we have

f(x) = 0

Then

           4x² + 20x + 25 = 0

   4x² + 10x + 10x + 25 = 0

2x (2x + 5) + 5 (2x + 5) = 0

           (2x + 5)(2x + 5) = 0

                      (2x + 5)² = 0

Then the graph of the function passes through the x-axis at –2.5.

The graph is shown below.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

2x+3y=130

Step-by-step explanation:

Let x=cost of full pass

Let y=cost of restricted pass

Brian and Bob bought 2 full and 3 restricted passes.

Have a good day!

Answer:

Step-by-step explanation:

Step-by-step explanation

first you have 1764 so you need to reduce it so you can keep on going through the line so I divided 1764 by 2 and I got 882. 2 is a prime number so I don't have to worry about it anymore. now I reduce 882 and get 2 and 441. 2 is prime so we don't need to worry about it anymore. now since we can't divide 441 by 2 we will use the next number 3. 441 divided by 3 is 147. 3 is prime so we don't need to worry about it anymore. 147 can't be divided by 2 so we will try 3 again and that works so 147 divided by 3 is 49. 3 is prime so we don't have to worry about it anymore. now we have 49 and 49 is a normal multiplication fact so we know that 49 divided by 7 is 7. and seven is prime so now you have have all the prime factors of 1764

Answer:

x = -5

y = -4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

They both divisible by 8