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3 years ago

How do u get the area of a circle?

Mathematics

2 answers:

galina1969 [7]3 years ago

7 0

Answer: πr^2

Step-by-step explanation:

π is pie which is about 3.14

but you need to find the radius and square it is multiply it by itself (Example radius = 2 so 2x2=4)

then multiply the radius squared by π(pie) which is 3.14 or use a calculator.

BabaBlast [244]3 years ago

3 0

Answer:

$\pi r^{2}$

Step-by-step explanation:

the formula for finding the area of a circle is $A = \pi r^{2}$ , where A = area and r = the radius of the circle. (the radius is half of the diameter of the circle, which can be found by either dividing the diameter by 2 or $r=\frac{C}{2\pi}$ where r = radius and C = circumference.)

i hope this helps! have a lovely day <3

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Find all real values of x for which f(x) = 0. f(x) = 30 - 5x

Roman55 [17]

Answer:

$f(x) = 30 - 5x \\ f(x) = 0 \\ 30 - 5x = 0 \\ 30 = 5x \\ 5x = 30 \\ x = \frac{30}{5} \\ \purple{\boxed{ \red{x = 6}}}$

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3 years ago

What is the range of the following set? (-2,4), (0,3), (1,6), (-1,2)

Snowcat [4.5K]

Answer:

d. (4,3,6,2)

Step-by-step explanation:

The list of second numbers of the ordered pairs is the range.

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The second number of the first pair is 4; the second number of the second pair is 3. The only 4-number answer choice containing these two numbers is (d). You don't even have to work the whole problem to make the proper choice.

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3 years ago

A student carried out an experiment to determine the amount of vitamin C in a tablet sample. He performed 5 trials to produce th

ivolga24 [154]

Answer:

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

P-value = 0.166.

Step-by-step explanation:

We start by calculating the mean and standard deviation of the sample:

$M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{5}(490+502+505+495+492)\\\\\\M=\dfrac{2484}{5}\\\\\\M=496.8\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{4}((490-496.8)^2+(502-496.8)^2+(505-496.8)^2+(495-496.8)^2+(492-496.8)^2)}\\\\\\s=\sqrt{\dfrac{166.8}{4}}\\\\\\s=\sqrt{41.7}=6.5\\\\\\$

Then, we can perform the hypothesis t-test for the mean.

The claim is that the amount of vitamin C in a tablet sample is different from 500 mg.

Then, the null and alternative hypothesis are:

$H_0: \mu=500\\\\H_a:\mu< 500$

The significance level is 0.05.

The sample has a size n=5.

The sample mean is M=496.8.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.5.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6.5}{\sqrt{5}}=2.907$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{496.8-500}{2.907}=\dfrac{-3.2}{2.907}=-1.1$

The degrees of freedom for this sample size are:

$df=n-1=5-1=4$

This test is a left-tailed test, with 4 degrees of freedom and t=-1.1, so the P-value for this test is calculated as (using a t-table):

$\text{P-value}=P(t$

As the P-value (0.166) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the amount of vitamin C in a tablet sample is different from 500 mg.

4 0

3 years ago

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.

juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

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3 years ago

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IRISSAK [1]

Answer:

Step-by-step explanation:

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