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2 years ago

Find the area of the circle. Round to the nearest whole number

Mathematics

1 answer:

GuDViN [60]2 years ago

8 0

Hello!

$\mathcal{GIVEN:}$

Diameter of the circle = 12 cm

$\mathcal{TO\:FIND:}$

Area of the Circle

$\mathcal{SOLUTION:}$

A=πr²

Hey! We have the diameter, not the radius.

Don't panic. In order to find the radius, we should divide the diameter by 2.

So, the radius is 6.

Plug it into the formula:

A=π(6)²

A=π(36)

A≈113 cm

Hope it helps!

Good luck and enjoy your day!

-SnowFlake

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(6x −9)3−1=((6x−9)3)(0) Solve for X

Tasya [4]

Answer:

Step-by-step explanation:

Remark

Anything multiplied by 0 = 0. So the whole right side is 0.

(6x - 9)*3 - 1 = 0 Add 1 to both sides.

(6x - 9)*3 - 1 + 1 = 0 + 1 Combine

(6x - 9)*3 = 1 Divide both sides by 3

(6x - 9)*3/3 = 1/3 Simplify

(6x - 9) = 1/3 Remove brackets. Add 9 to both sides

6x - 9+9 = 9 1/3 Combine

6x = 9 1/3

6x = 28/3 Divide both sides by 6

6x / 6 = 28/3 // 6 Invert the 6 and multiply.

x = 28/3 * 1/6

x = 28/18

Answer

x = 14/9

6 0

2 years ago

What is the geometric sequence common ratio

Kaylis [27]

Answer: d. 6
Explanation: you multiply each number by 6 every time

3 0

3 years ago

Read 2 more answers

Help! I don't know how to graph this reflection

ch4aika [34]

The x axis is the one going this way : ——— the y is the opposite going up so you just have to number it and add the dots

4 0

2 years ago

Graph y=(x+2)^2-3 <br> Show Vertex

nikklg [1K]

$\bf ~~~~~~\textit{parabola vertex form}
\\\\
\begin{array}{llll}
\boxed{y=a(x- h)^2+ k}\\\\
x=a(y- k)^2+ h
\end{array}
\qquad\qquad
vertex~~(\stackrel{}{ h},\stackrel{}{ k})\\\\
-------------------------------\\\\
y=(x+2)^2-3\implies y=\stackrel{a}{1}[x-\stackrel{h}{(-2)}]^2\stackrel{k}{-3}\quad 
\begin{cases}
h=-2\\
k=-3
\end{cases}$

3 0

3 years ago

The Genetics & IVF Institute conducted a clinical trial of the YSORT method designed to increase the probability of conceivi

Reika [66]

Answer: The test statistic needed to test this claim= 10.92

Step-by-step explanation:

We know that the probability of giving birth to a boy : p= 0.5

i..e The population proportion of giving birth to a boy = 0.5

As per given , we have

Null hypothesis : $H_0: p\leq0.5$

Alternative hypothesis : $H_a: p>0.5$

Since $H_a$ is right-tailed , so the hypothesis test is a right-tailed z-test.

Also, it is given that , the sample size : n= 291

Sample proportion: $\hat{p}=\dfrac{239}{291}\approx0.82$

Test statistic : $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$ , where n is sample size , $\hat{p}$ is sample proportion and p is the population proportion.

$\Rightarrow\ z=\dfrac{0.82-0.5}{\sqrt{\dfrac{0.5(1-0.5)}{291}}}\approx10.92$

i.e. the test statistic needed to test this claim= 10.92

Critical value ( one-tailed) for 0.01 significance level = $z_{0.01}=2.326$

Decision : Since Test statistic value (10.92)> Critical value (2.326), so we reject the null hypothesis .

[When test statistic value is greater than the critical value , then we reject the null hypothesis.]

Thus , we concluded that we have enough evidence at 0.01 significance level to support the claim that the YSORT method is effective in increasing the likelihood that a baby will be a boy.

7 0

3 years ago