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3 years ago

Suppose the diameter of a circle is \color{green}{6}6start color green, 6, end color green units. What is its circumference?

Mathematics

1 answer:

inessss [21]3 years ago

3 0

Answer:

C = 6pi units

C is approximately 18.84 units

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 6 units

C = 6*pi units

If we approximate pi by 3.14

C = 6*3.14

C = 18.84 units

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A researcher took a random sample of 100 students from a large university. She computed a 95% confidence interval to estimate th

katen-ka-za [31]

Answer:

Part (A): The correct option is true.

Part (B): The null and alternative hypothesis should be:

$H_o: \mu =0 ; H_a:\mu \neq0$

Step-by-step explanation:

Consider the provided information.

Part (A)

A random sample of 100 students from a large university.

Increasing the sample size decreases the confidence intervals, as it increases the standard error.

If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.

Hence, the correct option is true.

Part (B)

The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.

Therefore, the null and alternative hypothesis should be:

$H_o: \mu =0 ; H_a:\mu \neq0$

7 0

3 years ago

Help please i need this done!!

Juliette [100K]

Answer:

True, True, True, False

Step-by-step explanation:

8 0

2 years ago

Simplify and expand (1/3)to 2nd power × 18 + (1/2)to 2nd power × 4

Pepsi [2]

Step 1. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

Step 2. Simplify $3^{2}$ to $9$

$\frac{1}{9} *18+( \frac{1}{2} ) ^{2}*4 
$

Step 3. Use Division Distributive Property $( \frac{x}{y} ) ^{a} = \frac{ x^{a} }{ y^{a} }$

$\frac{1}{9} *18+ \frac{1}{ 2^{2} } *4$

Step 4. Simplify $2^{2}$ to $4$

$\frac{1}{9} *18+ \frac{1}{4} *4$

Step 5. Simplify $\frac{1}{9} *18$ to $\frac{18}{9}$

$\frac{18}{9} + \frac{1}{4} *4$

Step 6. Simplify $\frac{18}{9}$ to $2$

$2+ \frac{1}{4} *4$

Step 7. Simplify $\frac{1}{4} *4$ to $1$

$2+1$

Step 8. Simplify

$3$

Done! Your answer is 3

6 0

3 years ago

Rectangle ABCD is the same proportion as rectangle EFGH. The perimeter of

qwelly [4]

Answer:

4in

Step-by-step explanation:

3 0

2 years ago

Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE

AVprozaik [17]

Answer:

Step-by-step explanation:

We are given that:

$\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi$

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

$\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}$

Using double angle identities:

$\displaystyle \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}$

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

$\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}$

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence: