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4 years ago

Between which two consecutive integers does the square root of 7 lie

Mathematics

1 answer:

slava [35]4 years ago

6 0

The square root of 7 is 2.645....
and it lies between the numbers 2 and 3.

You might be interested in

A) x and y are two numbers taken from the list below.

Masja [62]

Answer:

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

6 0

3 years ago

-1^{2008} + (-1)^{2007} = ?<br><br> (1 - (-1)^[11])^[2] = ?<br><br> Questions for fun~

vladimir2022 [97]

1. -2
2. 4
Is the answers to the following questions

7 0

3 years ago

Find the gradient of the line 2y -8x = -2

coldgirl [10]

Answer:

gradient is 4.
y-intercept is -5.
No.

Step-by-step explanation:

1. In order to find the gradient of equation, you have to make it into slope-form equation y = mx + b :

$2y - 8x = - 2$

$2y = 8x - 2$

$y = \frac{8}{2} x - \frac{2}{2}$

$y = 4x - 1$

So m represents gradient. In this question, m is 4.

2. Make it into slope-form equation :

$3y = - 15x - 15$

$y = - \frac{15}{3} - \frac{15}{3}$

$y = - 5x - 5$

In this question, y-intercept is b which is -5.

3. You have to substitute x-coodinate into the equation to see whether it is equal to y-coordinate :

$y = 2x + 10$

$let \: x = 3$

$y = 2(3) + 10$

$y = 6 + 10$

$y = 16 \: (incorrect)$

5 0

3 years ago

Which is the graph of y = -1/x?

olchik [2.2K]

C would be your answer.

7 0

3 years ago

Suppose the lifetime, in years, of a motherboard is modeled by a Gamma distribution with parameters α=80 and λ=4. Use the Centra

timurjin [86]

Answer:

Therefore there's a 99.99% probability the motherboard of your new computer will last for at least 15 years.

Step-by-step explanation:

This is the general idea to solve the problem.

Suppose that the mean and variance of the your distribution are . $\mu , \sigma$ respectively. Then, according to the problem you are looking for the probability.

$P(X \geq 15) = 1 - P(X$

Consider then the following random variable.

$T = X_1 + X_2 + .... + X_{14}$

Using the central limit theorem $T$ distribution will be close to normal, and its mean and variance will be $14\mu , 14\sigma$ , respectively. Therefore you just have to find the probability that a normally distributed random variable with that mean and that variance which I just mentioned is less than 14.