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2 years ago

How do you leave an answer in terms of pi?

Mathematics

1 answer:

Archy [21]2 years ago

8 0

In terms of pi means to include pi in your answer. In other words, don't use 3.14 or 22/7 for pi.

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What is the area of this figure (4,1)(2,2)(2,-2)(-4,-2)(-2,-5)(2,-5)

V125BC [204]

Answer:

The area of this figure is 45 square units.

8 0

2 years ago

There are 40% more black balls than white balls in a bag.

Paladinen [302]

There is no answer to this question.

4 0

2 years ago

Laurie filled a container 2/3 full with water. She put 42 2/3 ounces of water in it. What is the capacity of Laurie's container?

Mademuasel [1]

Answer:

64 ounces

Step-by-step explanation:

2/3=42 2/3

1/3=21 1/3

21 1/3*3=64

7 0

2 years ago

Helppppppppppppppppppp I’ll mark you brainlist don’t respond if you’re going to put something random I will report you :)

otez555 [7]

Answer:

2n + 2

Step-by-step explanation:

The formula for nth term of an arithmetic progression is $an = d*n+a1-d$

In this example we have d = 2 (difference, +2 each time) and a1 =4 (first term of sequence).

$an=d*n+a1-d\\an=2n+4-2\\an=2n+2$

5 0

2 years ago

An electrical firm manufactures light bulbs that have a length of life that is approximately normally distributed with a standar

zysi [14]

Answer:

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.96}{2} = 0.02$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.02 = 0.98$ , so $z = 2.055$

Now, find the margin M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$\sigma = 40, M = 10$

$M = z*\frac{\sigma}{\sqrt{n}}$

$10 = 2.055*\frac{40}{\sqrt{n}}$

$10\sqrt{n} = 82.2$

$\sqrt{n} = 8.22$

$n = 67.6$

A sample of at least 68 bulbs is needed to be 96% conﬁdent that our sample mean will be within 10 hours of the true mean.

6 0

2 years ago