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sineoko [7]
3 years ago
15

Find the sum of the least and greatest two digit prime numbers whose digits are also prime?

Mathematics
1 answer:
adoni [48]3 years ago
7 0
First, we need to know the smallest two digit prime number. It can't start with one, since one is not prime, so it must start with two (or be in the twenties.) 20 is divisible by 2, 4, 5, and 10, 21 is divisible by 7 and 3, 22 is divisible by 2 and 11, so the smallest prime number is 23.

Now we need the largest two-digit prime number. It cannot start with nine or eight, since both are composite, so it must start with seven (be in the seventies.) 79 is the largest integer in the seventies and also happens to be prime, so there's our largest two digit prime number.

now we just need to add them for the sum:
23+79=102

hope I helped, and let me know if you have any questions :D
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Daniel [21]

The correct answer is 11/30

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3 years ago
Suppose a test of H0: μ = 0 vs. Ha: μ ≠ 0 is run with α = 0.05 and the P-value of the test is 0.052. Using the same data, a conf
never [62]

We have different values asociated here, but easly we can also start

calculating the confidence level from a lower value.

We can define a confidence level of x%, then the asociated level of significance will be

1-\frac{x}{100}

Here for x=(90,94)

Defining the p-value as 0.052 we have a range between the test reject,

that is,

1-\frac{x}{100}, for the p-value

But when we do the calculation we note that if x=(94,90); the test reject H_0:\mu=0

That's mean that the asociated confidence interval won't contain 0.

Evaluating for the value of 90 and 94, 90 causes the hypothesis to be rejected immediately, but 94 does not.

The lowest number for this approximation in the response ranges should be the number immediately above 90%, that is, the answer is 94%.

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3 years ago
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads an
laila [671]

Answer:

p=50t

Step-by-step explanation:

The more pages Crystal has to read, the more time she spends reading.

Let p=number of pages read

t=time spent reading the number of pages

As t increases, p increases.

This is a direct proportion and we can write it as:

p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50

Substitution of k into p=tk gives:

p=50t

Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:

p=50t

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Varvara68 [4.7K]

Answer:

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Step-by-step explanation:

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Associative property
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