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2 years ago

Find the angle, in radians, in the figure below if S = 8 and r = 6.

Mathematics

1 answer:

babymother [125]2 years ago

7 0

Answer:

Value of theta Ф = 1.33 radians

Step-by-step explanation:

We are given :

S= 8

r = 6

We need to find angle Ф

The formula used is: S=rФ

Finding theta Ф by putting values in formula:

$S=r\theta\\\theta=\frac{S}{r}\\ \theta=\frac{8}{6}\\\theta=1.33$

So, value of theta Ф = 1.33 radians

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What is the slope of the line?

Varvara68 [4.7K]

Answer: -5/2

Explanation: Rise over Run. Since the line is going downwards, the slope is negative

8 0

2 years ago

When the results of experimentation or historical data are used to assign probability values, the method used to assign probabil

wel

Answer:

Relative Frequency Method

Step-by-step explanation:

If I carry out an experiment involving 25 throws of a coin and I obtain 13 Heads(H), the Relative Frequency of obtaining Heads will be 13/25.

Now if I intend to find out approximately how many Heads will

occur in 300 throws, I simply use the result or experimentation data that I have.

This is done below:

Relative Frequency of Obtaining a Head= 13/25 =0.52

Number of Heads obtained in 300 throws

= Relative Frequency X Number of Trials

=0.52 X 300

=156

This is an example of how relative frequency method works.

5 0

3 years ago

You have been assigned to determine whether more people prefer Coke or Pepsi. Assume that roughly half the population prefers Co

Alex Ar [27]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

Step-by-step explanation:

For this case we have the following info given:

$ME=0.03$ the margin of error desired

$Conf= 0.95$ the level of confidence given

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

the critical value for 95% of confidence is $z=1.96$

We can use as estimator for the population of interest $\hat p=0.5$ . And on this case we have that $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.03}{1.96})^2}=1067.11$

And rounded up we have that n=1068

3 0

3 years ago

PLEASE HELP!!!

vovangra [49]

Answer:

<em>Michael drove faster than Jordan.</em>

Step-by-step explanation:

<u>Speed</u>

The speed is the ratio between the distance d traveled by an object and the time t it took to move. In terms of a mathematical equation, it's expressed as:

$\displaystyle v=\frac{d}{t}$

Michael drove 210 miles in 3 and one-half hours. The parameters to calculate the speed are: d= 210 miles, t = 3.5 hours. The speed of Michael is:

$\displaystyle v_M=\frac{210}{3.5}=60\ mi/h$

Jordan drove 330 miles in 6 hours, thus his speed is:

$\displaystyle v_J=\frac{330}{6}=55\ mi/h$

It's clear that Michael drove faster than Jordan.

8 0

3 years ago

Restaurant is making hamburgers. The cooks use

likoan [24]

Answer:

70.69

Step-by-step explanation:

46 2/3 divided by 2/3

46.66 divided by 0.66

The anwser is 70.69

If the cook makes twice as much beef then the number of hamburgers would be two times larger which would be 141.39.

Half as much beef would be 70.69 divided by two which is 35.34.

5 0

3 years ago