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3 years ago

Explain why the t-distribution has less spread as the number of degrees of freedom increases

1 answer:

3 0

The t-distribution has less extent as degrees of freedom increase since as increases less information is recognized the about or by the law of large numbers. As the degrees of freedom increases the critical t value drops that happens to the critical value of t for a particular alpha level when df increases in value.

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Ulleksa [173]

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

5 0

3 years ago

The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the p

torisob [31]

The lengths of adjacent sides of the parallelogram are 40 cm and 50 cm.

<h3>What is a parallelogram?</h3>

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Now, suppose a and be are two sides of parallelogram

Then, Perimeter P = 2( a+ b)

Now, it is given that perimeter of a parallelogram is 180 cm.

⇒ 2( a+ b) = 180

⇒ a + b = 90

It is also given that one side exceeds the other by 10 cm.

⇒ a = b + 10

Putting the value of a in above equation we get,

b + 10 + b = 90

⇒ 2b = 90 - 10

⇒ 2b = 80

⇒ b = 40 cm

Similarly, a = b + 10

⇒ a = 40 + 10

⇒ a = 50 cm

Hence, the required sides of parallelogram are 40cm and 50cm.

More about parallelogram:

brainly.com/question/13126347

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6 0

1 year ago

Match the given angle pair to their relationship using the figure beloe

hoa [83]

Answer:

Vertical: 1

corresponding: 3

alternate interior: 2

alternate exterior: 4

6 0

2 years ago

Using the example in #8, find the value of x

RUDIKE [14]

Answer:

SolutioN :

Set up an equation & solve for x :

$\star \tt \: 15x - 7 - 3x + 151 = 180$ [ Sum of co-interior angles ]

$\longrightarrow \tt \: 12x + 144 = 180$

$\longrightarrow \tt \: 12x = 36$

$\longrightarrow \tt \: x = \frac{36}{12}$

$\longrightarrow \tt \: x = \boxed{ \tt{3}}$

The value of x is 3 .

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7 0

1 year ago

Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

3 0

3 years ago

Explain why the​ t-distribution has less spread as the number of degrees of freedom increases

Explain why the t-distribution has less spread as the number of degrees of freedom increases