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4 years ago

Which data set has the smallest standard deviation?

2 answers:

8 0

The answer would be B.
<span>
Standard deviation basically measures how spread out the values are. Without solving, you can easily tell which one among your choices have a smaller deviation. The closer the values are to each other the smaller the standard deviation. The values of choice B are the closest together, so you can assume that they have the smallest standard deviation. </span>

lubasha [3.4K]4 years ago

7 0

Answer:

(B)1000, 1001, 1002, 1000, 1001, 1001

Explanation:

Standard deviation helps in measuring how spread out the values actually are. Without solving for the standard deviation, the smallest standard deviation of the given data sets can be easily guessed.

The closer the values are to each other, the smaller is the standard deviation. From the given data sets, The values of choice B that are 1000, 1001, 1002, 1000, 1001, 1001 are the closest together and in rest of the options the data sets hare not close to each other, so one can assume that they have the smallest standard deviation.

Hence, option B is correct.

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Mrs. Waid drives her car up Route 8 at 80mph. If her car weighs 2500 lbs,

Shtirlitz [24]

Answer:

It have 1.359 joule kinetic energy.

Explanation:

Kinetic energy is defined as the energy of any object due to its state of motion.
Mathematically kinetic energy can be calculated as:

K.E = $\frac{1}{2}$ $mv^{2}$ ...........................equation 1

where,

m= mass of object

v= velocity of that moving object

In the above problem;

mass= 2500 lbs = $5511.56$ kg.

velocity= 80mph= $\frac{80}{60*60}$ $m/s$ = $0.0222$ $m/s$ .

Substituting the values in equation 1, we get;

K.E= $\frac{1}{2}$ * $5511.56$ * $0.0222^{2}$

K.E= $1.359 joule.$

7 0

3 years ago

a football is thrown upward at a 31° angle to the horizontal.the acceleration of gravity is 9.8m/s^2. To throw the ball a distan

mr Goodwill [35]

The ball's vertical position $y$ in the air at time $t$ is

$y=v_0\sin31^\circ\,t-\dfrac g2t^2$

The ball is at its original height when $y=0$ , which happens at

$v_0\sin31^\circ\,t-\dfrac g2t^2=\dfrac t2\left(2v_0\sin31^\circ-gt)=0$

$\implies t=0\text{ and }t=\dfrac{2v_0\sin31^\circ}g$

Meanwhile, the ball's horizontal position $x$ at time $t$ is

$x=v_0\cos31^circ\,t$

So when the ball reaches its original height a second time, the ball will have traveled a horizontal distance of

$x=\dfrac{2{v_0}^2\sin31^\circ\cos31^\circ}g=\dfrac{{v_0}^2\sin(2\cdot31^\circ)}g$

(which you might recognize as the formula for the range of a projectile)

To reach a distance of $x=77\,\rm m$ , the initial speed $v_0$ would be

$77\,\mathrm m=\dfrac{{v_0}^2\sin62^\circ}{9.8\,\frac{\rm m}{\mathrm s^2}}\implies v_0=29\dfrac{\rm m}{\rm s}$

7 0

3 years ago

A uniform meter stick is hung at its center from a thin wire. It is twisted and oscillates with a period of 5 s. The meter stick

rewona [7]

Answer:

The new time period is $T_2 = 3.8 \ s$

Explanation:

From the question we are told that

The period of oscillation is $T = 5 \ s$

The new length is $l_2 = 0.76 \ m$

Let assume the original length was $l_1 = 1 m$

Generally the time period is mathematically represented as

$T = 2 \pi \sqrt{ \frac{ I }{ mgh } }$

Now I is the moment of inertia of the stick which is mathematically represented as

$I = \frac{m * l^2 }{12 }$

$T = 2 \pi \sqrt{ \frac{ m * l^2 }{12 * mgh } }$

Looking at the above equation we see that

$T \ \ \ \alpha \ \ \ l$

=> $\frac{ T_2 }{T_1} = \frac{l_2}{l_1}$

=> $\frac{ T_2}{5} = \frac{0.76}{1}$

=> $T_2 = 3.8 \ s$

3 0

4 years ago

He measures 100ml of hot water (90 degrees) using a graduated cylinder he places this sample in the refrigerator to cool it down

Rasek [7]

The volume of the water, which was initially 100mL changed to 96mL after refrigeration because the volume of water reduces when cool.

<h3>Why does water change in volume?</h3>

Water is a substance that is known for its unique characteristics that makes it stand out among all other liquids.

One notable feature of water is it's ability to become denser when subjected to cooler temperatures i.e. water is more dense when cold.

As water cools or becomes less warm, it contracts and decreases in volume. When water decreases in volume, it becomes more dense.

Therefore, according to this question, it can be said that the volume of the water, which was initially 100mL changed to 96mL after refrigeration because the volume of water reduces when cool.

Learn more about water volume at:brainly.com/question/17322215

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4 0

2 years ago

Most applications will ask you to provide all of the following information

Colt1911 [192]

its A chief your welcome

4 0

4 years ago

Read 2 more answers