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dolphi86 [110]
3 years ago
9

1 /4, 4/9,9/16,16/25,... please find the next two terms, nth term and 10th term of the given sequence​.​

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0

Answer:

See below in bold.

Step-by-step explanation:

Note that the numerators are the squares of 1, 2 3, 4 ...... and the denominators are the squares of 2, 3, 4, 5.....

The next 2 terms are 25/36 and 36/49.

The nth term is n^2 / (n + 1)^2    where n is the sequence number.

The 10th term is 10^2 / 11^2

= 100/121.

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Irene thinks she has space for a 45-inch wide bookcase.it turns out that she only has space for a 40 inch wide bookcase.what is
Assoli18 [71]
Answer: Apply the percent error formula:
(Experimental-Theoretical)/Theoretical
(45-40)/40
The percent error of her measurement was 12.5%
7 0
3 years ago
The heights of twelve month old boys are normally distributed with a mean of 29.8 inches and a standard deviation of 1.2 inches.
Triss [41]

Answer:

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 29.8, \sigma = 1.2

About twenty-one percent of twelve month old boys are shorter than what height?

This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.

Z = \frac{X - \mu}{\sigma}

-0.805 = \frac{X - 29.8}{1.2}

X - 29.8 = -0.805*1.2

X = 28.8

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

4 0
3 years ago
Multiplying Fractions: 3/4 * 6/18 * 3/9
olga55 [171]
The Answers
6/18= 3
3/9= 3
5 0
4 years ago
What is enterprisewhat is enterprise ​
ELEN [110]

Answer:

Enterprise is another word for a for-profit business or company, but it is most often associated with entrepreneurial ventures. People who have entrepreneurial success are often referred to as “enterprising.” There are many forms of legal enterprises, with the most common in the U.S.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Given the following equation x2 + 4x = 21 find the solutions. (Show All Work)
NeTakaya

Step-by-step explanation:

15a)

x^2+4x=21               Subtract both sides by 21

x^2+4x-21 =0

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7  

x-3=0

x=3              

7 0
3 years ago
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