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3 years ago

What is the 12th term in the addition pattern with formula 6n – 7? A. 59 B. 65 C. 71 D. 72

Mathematics

2 answers:

Alina [70]3 years ago

8 0

To find this, plug the term you are trying to find into the variable, n.
Work:
6(12)-7
The answer is 65, or B

tatyana61 [14]3 years ago

5 0

Since we know what term nth will be, 12, we can solve this.
(6 x 12) - 7
72-7=65.
Your final answer is B.) 65.

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In a recent study of statistics students, a random sample of students were asked to provide the number of hours per week they sp

Airida [17]

Answer:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

For this case the confidence interval is given by (6.55,8.15). And we can estimate the margin of error with this formula since the confidence interval is symmetrical:

$ME=\frac{Upper-Lower}{2}= \frac{8.15-6.55}{2}= 0.80$

3 0

3 years ago

Differentiate with respect to x:y= sinh^-1(x^2+1)

Aleks [24]

Answer:

The first derivative of $y = \sinh^{-1} (x^{2}+1)$ is $y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}$ .

Step-by-step explanation:

We proceed to find the first derivative of $y = \sinh^{-1} (x^{2}+1)$ by explicit differentiation and rule of chain:

$y = \sinh^{-1} (x^{2}+1)$

$y' = \frac{2\cdot x}{\sqrt{(x^{2}+1)^{2}+1}}$

$y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}$

The first derivative of $y = \sinh^{-1} (x^{2}+1)$ is $y' = \frac{2\cdot x}{\sqrt{x^{2}+2\cdot x +2}}$ .

8 0

3 years ago

If the hypotenuse is 41 inches, and one of the legs is 40 inches, what is the length of the other leg in inches?

arsen [322]

We will use the Pythagorean theorem:
c² = a² + b²
41² = 40² + b²
1681 = 1600 + b²
b² = 1681 - 1600
b² = 81
b = √ 81
b = 9 in
Answer: The length of the other leg is 9 inches.

5 0

3 years ago

Read 2 more answers

If two triangles are congruent, which of the following statements must be true? check all that apply.

katen-ka-za [31]

Answer:

Step-by-step explanation:

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3 years ago

A scale measures weight to the nearest 0.1 pounds. Which is the most appropriate way to report weight using this scale?

Pani-rosa [81]

The question is kind of vague in my opinion.

the best measurement to report with the scale in my opinion would be tens of pounds. my reasoning is because the decimal place would still prove importance with numbers under one hundred. above one hundred pounds and the decimal place becomes kind of pointless.

I hope I answered your question. though i'm sorry if i didn't

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4 years ago