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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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Need some help with model contexts with two variable expressions

malfutka [58]

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3 years ago

There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses.

Leviafan [203]

Answer:

I think the answer is 12 (sorry if i misunderstood the question)

Step-by-step explanation:

Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12

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3 years ago

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Blizzard [7]

Answer:

$t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44$

$df=n-1=9-1=8$

$p_v =P(t_{(8)}$

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

Step-by-step explanation:

Data given

$\bar X=26.8$ represent the sample mean

$s=2.7$ represent the sample standard deviation

$n=9$ sample size

$\mu_o =29.9$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean exceed 29.9 or no, the system of hypothesis would be:

Null hypothesis: $\mu \geq 29.9$

Alternative hypothesis: $\mu < 29.9$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{26.8-29.9}{\frac{2.7}{\sqrt{9}}}=-3.44$

P-value

The degrees of freedom are given by:

$df=n-1=9-1=8$

Since is a one sided test the p value would be:

$p_v =P(t_{(8)}$

Conclusion

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and is not enough evidence to conclude that the claim is true.

6 0

4 years ago

There are 35 female performers in a dance recital. The ratio of men to women in the recital is 2 : 7 How many men are in the rec

Vsevolod [243]

There are 32 female performers in a dance recital the ratio of men to women is 3/8 How many men are in the dance recital

But we have 32 female performers in the dance recital. Hence there are 3×4=12 men in the dance recital.

3 0

3 years ago

Whats the vertex of x^2-12x+23

abruzzese [7]

Answer:

y=(x-6)^2-13

Step-by-step explanation:

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3 years ago