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3 years ago

The solution to x2 – 10x = 24 is

Mathematics

2 answers:

Law Incorporation [45]3 years ago

3 0

X^2 - 10x - 24 = 0
(x - 12)(x + 2) = 0
x - 12 = 0 or x + 2 = 0
x = 12 or x = -2

Sedbober [7]3 years ago

3 0

answer:

C. 12 or -2

hope this helps! :o)

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A sample of 5 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the pop

Helen [10]

Answer:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

Step-by-step explanation:

For this case we have the following data:

1.04,1.00,1.13,1.08,1.11

And in order to estimate the population variance we can use the sample variance formula:

$s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

But we need to calculate the mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_I}{n}$

And replacing we got:

$\bar X = \frac{ 1.04+1.00+1.13+1.08+1.11}{5}= 1.072$

And for the sample variance we have:

$s^2 = \frac{(1.04-1.072)^2 +(1.00-1.072)^2 +(1.13-1.072)^2 +(1.08-1.072)^2 +(1.11-1.072)^2}{5-1}= 0.00277\ approx 0.003$

And thi is the best estimator for the population variance since is an unbiased estimator od the population variance $\sigma^2$

$E(s^2) = \sigma^2$

3 0

3 years ago

Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?

Marysya12 [62]

Answer:

The linear function becomes:

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

Step-by-step explanation:

We know that the slope-intercept of a linear function is

$y = mx+b$

where m is the slope and b is the y-intercept

Note: Slope is also termed as the 'rate of change'.

Given that Aron charges an initial service fee of 10$.

Thus, the y-intercept = b = 10

As the rate of change = 15$ per hour

so the slope = m = 15

Therefore, the linear function becomes:

$y = mx+b$

y = 15x + 10

Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.

For example, in one hour i.e. x = 1, the cost 'y' will be:

y = 15x + 10

y = 15(1) + 10

y = 25 + 10

y = $25

Therefore, in one hour (x=1), the cost will be: y = $25

7 0

3 years ago

3/4 divided by what equals 12

slavikrds [6]

Answer:

0.05357142

Step-by-step explanation:

5 0

3 years ago

The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be

Temka [501]

Some of the many possible answers can be..
3.3
2.2
0.5

6 0

3 years ago

−3 |x| +2x−1 if x=−5

Varvara68 [4.7K]

−3 |-5| +2(-5)−1

-15 +2(-5)-1

-15-10-1

-26

7 0

3 years ago