An outline of your presentation can also be included in the introduction.<br><br> true or fasle

A doctor is measuring the mean systolic blood pressure of female students at a large college. Systolic blood pressure is known t

Zarrin [17]

Using the Central Limit Theorem, it is found that the valid conclusion is given as follows:

The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.

<h3>Central Limit Theorem</h3>

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

In this problem, we have a skewed variable with a sample size less than 30, hence the Central Limit Theorem cannot be applied and the correct conclusion is:

The sampling distribution will probably not follow a normal distribution, hence we cannot draw a conclusion.

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7 0

2 years ago

A pendulum is made by tying a 75 g ball to a 130-cm-long string. the ball is pulled 5.0∘ to the side and released.

Maslowich

The ball’s speed and direction at the lowest point of trajectory are; 3.1 m/s and swing to the same angle on the other side

<h3>What is the speed at the lowest point?</h3>

We will assume that all of the motion will transfer to Kinetic Energy at the lowest point. Now, the difference in height will be;

Δh = (130 – 130*cos °5) = 0.49 cm

The change in PE is;

ΔP.E = mgΔh

ΔP.E = 9.8m/s² × 0.75kg × 0.049 m

ΔP.E = 0.36015 J

Formula for kinetic energy is;

K.E = ¹/₂*m*v²

From conservation of energy;

K.E = P.E

Thus;

¹/₂* 0.075 * v² = 0.36015

v = √[(0.36015 * 2)/0.075]

v = 3.1 m/s

Thus, the pendulum will swing to the same angle on the other side.

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6 0

2 years ago

What are the coefficients for the binomial expansion of (a b)3? 1, 4, 6, 4, 1 1, 1 1, 2, 1 1, 3, 3, 1

Advocard [28]

The coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

We have,

The binomial expansion (a + b)³,

So,

Now,

We know that,

Formula for binomial expansion,

i.e.

(u + v)ⁿ = ⁿC₀ · uⁿ · v⁰ + ⁿC₁ · uⁿ⁻¹ · v¹ + ⁿC₂ · uⁿ⁻² · v² + ⁿC₃ · uⁿ⁻³ · v³

Now,

According to the question,

Here,

u = a,

v = b,

And, n =3

Now,

Putting values,

i.e.

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a³⁻¹ · b¹ + ³C₂ · a³⁻² · b² + ³C₃ · a³⁻³ · b³

We get,

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a² · b¹ + ³C₂ · a¹ · b² + ³C₃ · a⁰ · b³

Now,

Using combination formula,

$^{n} C_{r} = \frac{n!}{r!(n-r)!}$

On solving we get,

(a + b)³ = a³ + 3 a² b + 3 a b² + b³

So,

Now,

The coefficients of :

a³ = 1,

3a²b = 3,

3ab² = 3,

b³ = 1,

So,

The coefficients of the given binomial expansion are 1, 3, 3, 1.

Hence we can say that the coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

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4 0

1 year ago

A homeowner's connection to the internet is through an always-on modem that connects to existing telephone wiring and has a down

Nat2105 [25]

The internet connection types that is being used is DSL (Digital Subscriber Line).

<h3>What is DSL (Digital Subscriber Line)?</h3>

DSL is a type of broadband internet service that uses existing copper telephone wires to transmit data. DSL can provide high-speed internet access, typically ranging from 1 Mbps to 100 Mbps, depending on the distance from the service provider and the quality of the wiring. DSL can also allow users to make analog phone calls over the same line at the same time, because DSL uses a different frequency band than voice signals. DSL requires a special modem that can separate the data and voice signals and connect to the computer and the phone.

Some advantages of DSL are:

It is always-on, meaning there is no need to dial up or wait for a connection.
It is relatively inexpensive and widely available in urban and suburban areas.
It does not interfere with the normal use of the telephone line.

Some disadvantages of DSL are:

It is not available in some rural or remote areas, where the distance from the service provider is too far or the wiring is too old or damaged.
It can be affected by environmental factors, such as noise, weather, or electrical interference.
It can have variable speeds and performance, depending on the traffic and congestion on the network."

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5 0

1 year ago

Unfortunately, you have a junky car! you are speaking to your mecánico/a about some problems that you have been having with your

Delicious77 [7]

These are the Spanish sentences related to going to the mechanic:

Desde hace una semana que la bocina del auto no funciona.
Hace dos días que se pinchó la rueda del auto.
Desde hace un mes se rompió la batería y el auto no funciona.

This is an exercise about Spanish vocabulary related to cars. To complete the sentences, it is important to pay attention to the vocabulary used when you talk about cars.

There are some key words you can learn:

auto
bocina
rueda
mecánico

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6 0

2 years ago

Read 2 more answers

An outline of your presentation can also be included in the introduction. true or fasle