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Sonbull [250]
3 years ago
6

Write the arithmetic sequence 17,20,23,26... in standard form

Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

an=3n+14

Step-by-step explanation:

Use the formula  

an=a1+d(n−1)  to identify the arithmetic sequence.

an=3n+14

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A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard
ser-zykov [4K]

Answer:

Option a) A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 120

Sample mean = 10 mm

Standard Deviation = 0.24 mm

Formula:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}

Hence, the correct interpretation for the confidence interval is given by option a).

A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 10 \pm 1.96\displaystyle\frac{0.24}{\sqrt{120}}.

We have to consider the factor of sampling of 120 ball bearings from a population of 10,000 ball bearings.

8 0
3 years ago
Please help me with this #63
nikklg [1K]
The answer for ur question should be 123
4 0
2 years ago
Read 2 more answers
7(y+x)−2(x−y)=−2
tangare [24]
The answer is y=9/5x-31

6 0
3 years ago
The height of a triangle is 4 inches greater than the base. The area of the triangle is 70 square inches.
Alexxandr [17]

Answer: 10 inches.

Step-by-step explanation:

We have to solve a system of equations.

The formula to calculate a triangle area is A = (b.h)/2

where b is the base and h is the height. This will be our first equation.

Since the height is 4 inches greater than the base, the second equation will be: h = b+4

We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:

70 = (b . (b+4)) / 2

70 . 2 = b² + 4b

140 = b² +4b

0 = b² + 4b - 140

The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.

5 0
4 years ago
Next number in sequence 7 16 8 27 9 ?
djyliett [7]
The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.
6 0
3 years ago
Read 2 more answers
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