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3 years ago

Need help on this please? not sure how to do this

Mathematics

1 answer:

igomit [66]3 years ago

4 0

1. The formula for circumference is 2πr. From that formula you can see that anything you do to the radius (in terms of multiplying), you do to the circumference in the same way. Double the radius, you double the circumference, triple the radius, you triple the circumference. This is because the 'r' is in the formula without any exponent.

2. The formula for the area is πr². This is different. Now if you double the radius (multiply it by 2), the area is multiplied by 2², so by 4. The power of 2 in the formula works on the multiplication factor you apply. If you make the radius p times as big, the area becomes p² times as big.

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The position, x, of an object is given by the equation x = A + Bt +Ct2, where t refers to time. What are the dimensions of A, B,

Serjik [45]

Answer: Dimensions of A are of length [L]

Dimensions of B are of $LT^{-1}$

Dimensions of C are of $LT^{-2}$

Step-by-step explanation:

The given equation is

$x(t)=A+Bt+Ct^{2}$

Since the dimension on the L.H.S of the equation is [L] , each of the terms on the right hand side should also have dimension of length[L] to be dimensionally valid

Thus

Dimensions of A = [L]

Dimensions of Bt = [L]

$Bt=[L]\\\\$ $[B][T]=[L]$ $\\\\\therefore [B]=LT^{-1}$

Similarly

Dimensions of $Ct^{}2 = [L]$

$Ct^{2}=[L]\\\\[C][T]^{2}=[L]\\\\\therefore [C]=LT^{-2}$

4 0

3 years ago

the table below shows all possibilities of the outcome of rolling two 6-sided number cubes what is the possibility of rolling a

irga5000 [103]

Answer:

Final answer is $\frac{5}{36}$ .

Step-by-step explanation:

Given that two 6-sided number cubes are rolled. Now we need to find about what is the possibility of rolling a sum of 8.

From the sample space, you can see that there are total 36 possible outcomes.

out of those outcomes, there are only 5 outcomes that has sum = 8

which are {(2,6), (3,5), (4,4), (5,3), (6,2)}.

Hence probability of rolling a sum of 8 $=\frac{5}{36}$ .

Hence final answer is $\frac{5}{36}$ .

6 0

4 years ago

1.An association of art museums releases a study reporting that museums with restaurants have a greater number of annual visitor

Ahat [919]

1.Not having a restaurant decreases the number of annual visitors to a museum.

2.The owner wants people to believe that dance classes are popular so that they sign up for classes.

3.The sample is biased because it does not represent the population and The question is biased toward a Yes response.

4 0

4 years ago

In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t

Andru [333]

Answer:

0.071 to 0.129

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

In a sample of 400 voters, 360 indicated they favor the incumbent governor. This means that 400-360 = 40 do not favor the incumbent governor. So $n = 400, \pi = \frac{40}{400} = 0.1$