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3 years ago

What is the next term of the following geometric sequence:

Mathematics

1 answer:

LenKa [72]3 years ago

4 0

Answer:

Step-by-step explanation:

Each term has been multiplied by 2/5.

-1/2 * 2/5 = -2/10=-1/5

-1/5 * 2/5 = -2/25

-2/25 * 2/5 = -4/125

-4/125 * 2/5 = -8/625

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A rectangle has a perimeter 60m and base21 m what is its area

Komok [63]

Since you're given the base for the perimeter of the rectangle, you can solve this question quickly.

First, you multiply 21 by 2, because there are two bases to a rectangle.

You'll get 42, and you will have to do 60-42 to find the perimeter for the remaining two sides.

60-42 will give you 18, so you can divide that by 2 because there are two other sides, giving you 9.

Now you have the side lengths 21 and 9. Area is base*height, so you can multiply 21*9 and get 189.

Therefore, the area of the rectangle is 189 meters

5 0

3 years ago

If 5|x − 1| = 20, then x = 1 or 5 6 or –8 –2 or 4 5 or –3 Please help

anygoal [31]

Answer:

Step-by-step explanation:

5 0

3 years ago

In 1990, the average math SAT score for students at one school was 498. Five years later, a teacher wants to perform a hypothe

mojhsa [17]

Answer:

A. Fail to reject the claim that the average math SAT score is 498 when in fact it is not 498.

Step-by-step explanation:

Type II Error:

A type II error happens when there is a non-rejection of a false null hypothesis.

In this question:

The null hypothesis is H0:μ=498.

Since there is a type II error, there was a failure to reject the claim that the average math SAT score is 498 when in fact it is not 498, and thus, the correct answer is given by option A.

6 0

3 years ago

How do you multiply fractions and express product in simplestform.

vagabundo [1.1K]

You just multiply top times top and bottom times bottom and then find a number you can divide into the number and you keep doing that until you can't simplify any more.

3 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

kozerog [31]

Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e. $\mu=61$ and $\sigma=9$

To find : The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

i.e. The approximate percentage of lightbulb replacement requests numbering between 34 and $34+3(9)$ .

i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ . (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between $\mu$ and $\mu+3(\sigma)$ = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

4 0

3 years ago