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4 years ago

Which length is equivalent to 12 yards

Mathematics

2 answers:

Cerrena [4.2K]4 years ago

8 0

There are many...since 1 yard is 3 feet, then 12 yards, which is 12 times as much , is 12 x 3 or 36 feet.....

Firlakuza [10]4 years ago

6 0

Answer:

36 feet.

Step-by-step explanation:

We are asked to find the equivalent distance to 12 yards.

We know that 1 yards equals 3 feet.

Let us convert 12 yards to feet as shown:

$\text{12 yards}\times \frac{3\text{ feet}}{\text{yard}}=12\times 3\text{ feet}=36\text{ feet}$

Therefore, 36 feet is equivalent to 3 yards.

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A polynomial that has 5 turning points is multiplied by another polynomial that has 6 zeros. What is the minimum degree of the n

Rom4ik [11]

The only thing in the question I am not totally certain about is the definition of a 'zero' on a polynomial - I will assume this means an x-intercept, which seems to make sense since these are the points where the value of the function is zero.

Taking the first polynomial: the maximum number of turning points for a polynomial of order n is (n-1). Take the example of a quadratic, which always has 1 turning point. Therefore the minimum order of the first polynomial is 6.

The maximum number of x-intercepts for a polynomial of order n is n. Therefore the second polynomial has a minimum order of 6.

Multiplication of two polynomials can get very messy very quickly. However, picture putting the two in brackets next to each other, such that the terms are in decreasing orders. You can easily see the maximum order term is found by multiplying the first term in each bracket. A polynomial's order is judged solely on the maximum power of the variable, so this is all we need to consider.

This multiplication becomes ax^6 * bx^6 where a and b are arbitrary constants in this context. Hence this product is abx^12 (exponents add when the terms are multiplied, where 12 = 6 + 6), so minimum degree of new polynomial = 12

8 0

3 years ago

Represent each cylinder as a net. Find the surface area of each cylinder.

Tju [1.3M]

Answer:

113.04m^2

Step-by-step explanation:

Surface area for Base and top

$2*\pi d=2*3.14*4=25.12$

Surface area for the other part

$\pi d*h = 12.56*7 = 87.92$

you will get

113.04m^2

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2 years ago

My car gets 27 miles per gallon of gas. If I drive 513 miles, how many gallons of gas will I use?

Lisa [10]

513/27 to find your answer

19 and 14/27 is your answer

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3 years ago

An equilateral triangle is always __________. A. obtuse and isosceles B. acute and isosceles C. scalene D. obtuse

V125BC [204]

acute b that is what it always is

8 0

3 years ago

Read 2 more answers

Listed below are the number of years it took for a random sample of college students to earn bachelor's degrees (based on data f

schepotkina [342]

Answer:

a) Mean = 6.5, sample standard deviation = 3.50

b) Standard error = 0.7826

c) Point estimate = 6.5

d) Confidence interval: (5.1469 ,7.8531)

Step-by-step explanation:

We are given the following data set for students to earn bachelor's degrees.

4, 4, 4, 4, 4, 4, 4.5, 4.5, 4.5, 4.5, 4.5, 4.5, 6, 6, 8, 9, 9, 13, 13, 15

a) Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{130}{20} = 6.5$

Sum of squares of differences = 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 6.25 + 4 + 4 + 4 + 4 + 4 + 4 + 0.25 + 0.25 + 2.25 + 6.25 + 6.25 + 42.25 + 42.25 + 72.25 = 233.5

$S.D = \sqrt{\frac{233.5}{19}} = 3.50$

b) Standard Error

$= \displaystyle\frac{s}{\sqrt{n}} = \frac{3.50}{\sqrt{20}} = 0.7826$

c) Point estimate for the mean time required for all college is given by the sample mean.

$\bar{x} = 6.5$

d) 90% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 19 and}~\alpha_{0.10} = \pm 1.729$

$6.5 \pm 1.729(\frac{3.50}{\sqrt{20}} ) = 6.5 \pm 1.3531 = (5.1469 ,7.8531)$

e) No, the confidence interval does not contain the value of 4 years. Thus, confidence interval is not a good estimator as most of the value in the sample is of 4 years. Most of the sample does not lie in the given confidence interval.

5 0

4 years ago