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3 years ago

Please help with khan academy!

Mathematics

2 answers:

sergiy2304 [10]3 years ago

6 0

Answer:

Let's imagine the image of the zoo.

The diameter is basically the length of the circle.

The penguin swam the radius.

To find the radius, we need to divide the diameter by 2.

The diameter is 20 meters.

20 $\div$ 2 = 10 meters.

2 x pi x 10 = 62.83185307

62.83185307/2 = 31.41592654

Answer = 31.41592654

Cerrena [4.2K]3 years ago

3 0

Answer:

The distance through which penguin swim = 10π meters

Step-by-step explanation:

The island is given to be in a shape of circle and the distance around any circle is known as circumference.

The diameter of the island = 20 meters

So, to find the distance traveled by penguin we need to find the circumference or the circular island.

⇒ Circumference = π·diameter

⇒ Circumference = π × 20

= 20π meters

Now, it is given that the penguin only travels the half of the island So, the distance traveled by penguin is half the circumference of the island.

<u><em>Distance traveled by penguin = 1/2 × 20π = 10π</em></u>

The distance through which penguin swim = 10π meters

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Please help and explain very easy good luck

Mars2501 [29]

Answer:

-76

Step-by-step explanation:

A positive digit multiplied by a negative digit will result as a negative digit.

So,

6 · -8 = -48

Now if there is a problem where a number is added by a negative digit number, you turn the "plus" sign into a "negative" sign.

So,

- 48 + (- 28)

-48 - 28

If you subtract a negative by a negative, the answer will be negative BUT you have to ADD those two negative digits together and put the negative sign after.

- 48 - 28 = -76

7 0

3 years ago

Read 2 more answers

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$