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3 years ago

Activity 1: Directions: Write TRUE if the statement is true and FALSE if the statement is false.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

5 0

Step-by-step explanation:

1.The formula in finding the area of a circle is derived from the area of a parallelogram. It is false.

2. The area of a circle is πr² where r is the radius of the circle. It is true.

3. The area of a circle is equal to pi divided by the square of the radius. It is false.

4. The diameter of a circle is equal to twice its radius i.e. d = 2r. It is true.

5. If r = 2.1 m

Area of circle, A = πr²

= 3.14 (2.1)²

= 13.85 m²

Henc,e this is the required solution.

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Papessa [141]

Answer: $(3.0,\ 3.2)$

Step-by-step explanation:

Confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$ (1)

, where $\overline{x}$ = Sample mean

$z_{\alpha/2}$ = Critical z-value

$\sigma$ = Population standard deviation.

n= Sample size.

As per given , we have

n= 610

$\sigma=1.1$

$\overline{x}=3.1$

Significance level for 85% confidence : $\alpha=1-0.85=0.15$

By z-table critical two tailed z-value : $z_{\alpha/2}=z_{0.075}=1.44$

Put all values in (1) , we get

$3.1\pm 1.44\dfrac{1.1}{\sqrt{610}}$

$3.1\pm 1.44\dfrac{1.1}{24.698}$

$3.1\pm 0.064$

$=(3.1-0.064,\ 3.1+0.064)=(3.036,\ 3.164)\approx(3.0,\ 3.2)$

Hence, the 85% confidence interval for the mean consumption of meat among people over age 40. = $(3.0,\ 3.2)$

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