326.59 rounded to 1 decimal place

How do I calculate the distance between these two lines?<br><br> Y=-2/3x - 1/2 and Y=-2/3 + 1/5

motikmotik

You would have to graph it first
The formula for distance is (y2-y1)/(x2-x1)

3 0

3 years ago

Leg =7, leg =24 what's the length

TEA [102]

(assuming this is a right triangle)
This is a Pythagorean triplet.
The hypotenuse is 25.

7, 24, 25

You can solve this using the Pythagorean Theorem, a^2 + b^2 = c^2
Where a and b are the legs and c is the hypotenuse, or longest side.
We have that the two legs are 7 and 24. Plug these in for a and b.

Plug in values 7 and 24 for a and b.
7^2 + 24^2 = c^2

Simplify 7 squared and 49 squared
49 + 576 = c^2

Add the numbers
625 = c^2

Square root both sides
25 = c

So the hypotenuse, or the third side, is 25. :)<span />

5 0

3 years ago

Read 2 more answers

Fractions that are the same number are blank

maks197457 [2]

Answer:

plebs

Step-by-step explanation:

4 0

3 years ago

n a study of academic procrastination, it was determined that for a random sample of 18 undergrad students at a mid-size public

Westkost [7]

Answer:

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

Step-by-step explanation:

We have the standard deviation for the sample, which meas that the t-distribution is used to solve this question

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 18 - 1 = 17

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 2.11

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 2.11\frac{3.4}{\sqrt{18}} = 1.69$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.74 - 1.69 = 6.05 hours

The upper end of the interval is the sample mean added to M. So it is 7.74 + 1.69 = 9.84 hours.

The 95% confidence interval for the mean time spent studying for the intro statistics final exam by all students is between 6.05 hours and 9.84 hours.

6 0

3 years ago

Which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − startroot x endroot 8x3 startfraction 5 over x en

Digiron [165]

The algebraic expression that is a polynomial with a degree of 2 is

6x^2-6x+5.

<h3>What is the degree?</h3>

The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.

The highest degree of the polynomial is considered the degree of the polynomial.

For the first option,

$4x^3-2x+10$