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fomenos
3 years ago
9

Is it A)6 B)9 C)16 D)18

Mathematics
2 answers:
frosja888 [35]3 years ago
6 0
18 because it is the greatest common factor among them
joja [24]3 years ago
4 0
18 because that’s the greatest common factor for all of them
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The number of potato chips in a bag is normally distributed with a mean of 74 and a standard deviation of 4. Approximately what
tangare [24]

Answer:  99.7 % of the bags contain between 62 and 86 potato chips.

Step-by-step explanation:

The standard deviation given is 4.

Find the difference between the given numbers and the mean,

74-62= 12 .  86-74=12

then  divide 12 by 4 to find the number of standard deviations:  12/4=3

Check a chart or diagram of the Gaussian Distribution to find that 99.7% of the samples lie within 3 standard deviations from the mean.

4 0
3 years ago
Assume that you have paired values consisting of heights​ (in inches) and weights​ (in lb) from 40 randomly selected men. The li
Over [174]

Answer:

The value of the coefficient of determination is 0.263 or 26.3%.

Step-by-step explanation:

<em>R</em>-squared is a statistical quantity that measures, just how near the values are to the fitted regression line. It is also known as the coefficient of determination.

A high R² value or an R² value approaching 1.0 would indicate a high degree of explanatory power.

The R-squared value is usually taken as “the percentage of dissimilarity in one variable explained by the other variable,” or “the percentage of dissimilarity shared between the two variables.”

The R² value is the square of the correlation coefficient.

The correlation coefficient between heights​ (in inches) and weights​ (in lb) of 40 randomly selected men is:

<em>r</em> = 0.513.

Compute the value of the coefficient of determination as follows:

R^{2}=(r)^{2}\\=(0.513)^{2}\\=0.263169\\\approx0.263

Thus, the value of the coefficient of determination is 0.263 or 26.3%.

This implies that the percentage of variation in the variable height explained by the variable weight is 26.3%.

3 0
3 years ago
Yani buys a certain brand of cereal that costs $10 per box. Yani changes to a super-saving brand of the same size. The equation
podryga [215]
Y=10
Y=7x
10=7x
7/10= 1.43
A.$1.43
1.43•5=$7.15
B.$7.15
I think this is the answer hope it helps
3 0
3 years ago
Evaluate the algebraic expression for the given variable <br> -x- -3,x=-5
Dvinal [7]
Here u go, u replace x by the number

6 0
3 years ago
Determine formula of the nth term 2, 6, 12 20 30,42​
nalin [4]

Check the forward differences of the sequence.

If \{a_n\} = \{2,6,12,20,30,42,\ldots\}, then let \{b_n\} be the sequence of first-order differences of \{a_n\}. That is, for n ≥ 1,

b_n = a_{n+1} - a_n

so that \{b_n\} = \{4, 6, 8, 10, 12, \ldots\}.

Let \{c_n\} be the sequence of differences of \{b_n\},

c_n = b_{n+1} - b_n

and we see that this is a constant sequence, \{c_n\} = \{2, 2, 2, 2, \ldots\}. In other words, \{b_n\} is an arithmetic sequence with common difference between terms of 2. That is,

2 = b_{n+1} - b_n \implies b_{n+1} = b_n + 2

and we can solve for b_n in terms of b_1=4:

b_{n+1} = b_n + 2

b_{n+1} = (b_{n-1}+2) + 2 = b_{n-1} + 2\times2

b_{n+1} = (b_{n-2}+2) + 2\times2 = b_{n-2} + 3\times2

and so on down to

b_{n+1} = b_1 + 2n \implies b_{n+1} = 2n + 4 \implies b_n = 2(n-1)+4 = 2(n + 1)

We solve for a_n in the same way.

2(n+1) = a_{n+1} - a_n \implies a_{n+1} = a_n + 2(n + 1)

Then

a_{n+1} = (a_{n-1} + 2n) + 2(n+1) \\ ~~~~~~~= a_{n-1} + 2 ((n+1) + n)

a_{n+1} = (a_{n-2} + 2(n-1)) + 2((n+1)+n) \\ ~~~~~~~ = a_{n-2} + 2 ((n+1) + n + (n-1))

a_{n+1} = (a_{n-3} + 2(n-2)) + 2((n+1)+n+(n-1)) \\ ~~~~~~~= a_{n-3} + 2 ((n+1) + n + (n-1) + (n-2))

and so on down to

a_{n+1} = a_1 + 2 \displaystyle \sum_{k=2}^{n+1} k = 2 + 2 \times \frac{n(n+3)}2

\implies a_{n+1} = n^2 + 3n + 2 \implies \boxed{a_n = n^2 + n}

6 0
2 years ago
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