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lesya [120]
1 year ago
6

Trong một lớp học có $35$ sinh viên nói được tiếng Anh, $25$ sinh viên nói được tiếng Nhật trong đó có $10$ sinh viên nói được c

ả tiếng Anh và tiếng Nhật. Mỗi sinh viên trong lớp nói được ít nhất một trong hai: tiếng Anh hoặc tiếng Nhật. Hỏi sỹ số của lớp là bao nhiêu
Mathematics
1 answer:
Reil [10]1 year ago
8 0

Answer:

please write this question in English then I give answer

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Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(
AlekseyPX

Answer: D. f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)

Step-by-step explanation:

The given sequence:  4, -2,1,\dfrac{-1}{2},\dfrac14,....

Here, first term: f(1)=4

Second term: f(2)=-2

Third term : f(3)=\dfrac{-1}{2}

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}

So, f(n+1)=\dfrac{-1}{2}f(n)  [as in G.P. nth term= a_{n+1}=ar^n]

Hence, correct option is D. f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)

5 0
1 year ago
Round 3,872.3155 to the nearest hundred
zlopas [31]

Answer:

3,872.32

Step-by-step explanation:

the nearest hundredth is 2 numbers on the right of the decimal sign. So you round up from 5 to get answer above.

6 0
2 years ago
Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviat
MaRussiya [10]

Answer:

z = 10

Step-by-step explanation:

The value of the z-statistic is given by:

z = \frac{X - \mu}{s}

In which:

X is the measured value.

\mu is the expected value.

s = \frac{\sigma}{\sqrt{n}} is the standard deviation of the sample. \sigma is the standard deviation of the population.

In this question:

The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.

This means that \mu = 2.9, \sigma = 0.1

Random sample of 100 screws.

This means that n = 100.

To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?

3 inches, so X = 3

s = \frac{0.1}{\sqrt{100}} = 0.01

z = \frac{X - \mu}{s}

z = \frac{3 - 2.9}{0.01}

z = 10

8 0
1 year ago
A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
yarga [219]

Answer:

A is TRUE (44 in²*2=88 in²)

B is FALSE x(x-3)=88 (the rectangle) or x(x-3)/2=44 (the triangle)

C is TRUE if x(x-3)=88==>x²-3x-88=0

D is TRUE :

x²-3x-88=0

Δ=9+4*88=361=19²

==>x= 11 or x=-8 (excluded for <0)

E is FALSE for 11*4≠88

Step-by-step explanation:

correct me if i am wrong

7 0
2 years ago
In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of
kati45 [8]
The answer is $7.14 is wunt josiah pay
8 0
2 years ago
Read 2 more answers
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