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4 years ago

What is the largest digit N for which 2345N is divisible by 6?

1 answer:

6 0

Your answer would be N = 4
for a number to be divisible by 6, it must also be divisible by 2 and 3.
For a number to be divisible by 2, it must end in an even number: 0,2,4,6, or 8
For a number to be divisible by 3, the sum of the digits needs to be divisible by 3.

Considering 2345N, and knowing N has to be either 0,2,4,6, or 8 in such a way that when added to the other numbers we get a value divisible by 3 you can see that N must be equal to 4.. 2+3+4+5+4=18 and 18 is divisible by 3

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Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

katrin2010 [14]

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31.4 or higher are significantly high.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 20.8, \sigma = 5.3$

Identify the test scores that are significantly low or significantly high.

Significantly low

Z = -2 and lower.

So the significantly low scores are thoses values that are lower or equal than X when Z = -2. So

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

$-2 = \frac{X - 20.8}{5.3}$

$X - 20.8 = -2*5.3$

$X = 10.2$

Test scores of 10.2 or lower are significantly low.

Significantly high

Z = 2 and higher.

So the significantly high scores are thoses values that are higherr or equal than X when Z = 2. So

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

$2 = \frac{X - 20.8}{5.3}$

$X - 20.8 = 2*5.3$

$X = 31.4$

Test scores of 31.4 or higher are significantly high.

3 0

4 years ago

A shopkeeper marks his goods at 40% above cost (the price he pays for the goods) and then offers a 25% discount. If a jacket cos

Ierofanga [76]

A shopkeeper marks:
$200 * 1.4 = $280
With a discount of 25%:
$280 * 0.75 = $210

4 0

3 years ago

at what value of x does the graph of the following function f(x) have a vertical asymptote F(x)=1/x+2

JulijaS [17]

Vertical asymptote means the equation is undefined at that point, or when the denominator is 0. Is the equation F(x)=1/x+2 or F(x)=1/(x+2)? Just set whatever's on the bottom equal to zero and solve for x.

4 0

3 years ago

Read 2 more answers

Derive the equation of the parabola with a focus of (-5,-5) and a directrix of y=7.

adoni [48]

Answer:

$y=-\frac{1}{24}(x+5)^2+1$