What is the equation of the line in slope-intercept form?

What is true about the hypotenuse?

Temka [501]

Answer:

All of the above

Step-by-step explanation:

In Pythagorean Theorem, a and b are the short and long leg, and c is the hypotenuse.

5 0

2 years ago

Read 2 more answers

35. In a simple random sample of 25 high school students, the sample mean of the SAT scores was 1450, and the sample variance wa

Tatiana [17]

Answer:

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

Step-by-step explanation:

Information provided

$\bar X=1450$ represent the sample mean for the SAT scores

$\mu$ population mean (variable of interest)

$s^2 = 900$ represent the sample variance given

n=25 represent the sample size

Solution

The confidence interval for the true mean is given by :

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The sample deviation would be $s=\sqrt{900}= 30$

The degrees of freedom are given by:

$df=n-1=2-25=24$

The Confidence is 0.954 or 95.4%, the value of $\alpha=0.046$ and $\alpha/2 =0.023$ , assuming that we can use the normal distribution in order to find the quantile the critical value would be $z_{\alpha/2} \approx 2.0$

The confidence interval would be

$1450-2.0\frac{30}{\sqrt{25}}=1450-12$

$1450+2.0\frac{30}{\sqrt{25}}=1450+12$

And the best option would be:

c. 1450 +/- 12

3 0

2 years ago

Evaluate the expression a•b for a =24 and b=8

Butoxors [25]

$\huge\text{Hey there!}$

$\mathsf{a\times b}}$

$\mathsf{= 24\times8}$

$\mathsf{= 192}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{192}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>~ $\frak{Amphitrite1040:)}$ </h3>

4 0

1 year ago

The measure of one of the acute angles in a right triangle is 42 1/3 . What is the measure of the other acute angle in the trian

Alex17521 [72]

Explanation: The sum<span> of the measure of the </span>internal<span> angles of any triangle is 180o . In a right angled triangle, one angle will be 90o . Since we know the measure of one of the other acute (less than 90o ) angles, we subtract the </span>sum<span> of the two known angles from 180 to calculate the measure of the other acute angle.</span>

8 0

2 years ago

3 people divide $30 charge. They get refund of 1 dollar each and cashier keeps 2 dollars. When cross checking you multiply 9x3=2

Inessa [10]

Answer:

First, 3 people divide $30, then each one of them pays:

$30/3 = $10.

Each one of them gets $1 in refound.

Then at the moment, each one of them paid $9, and there are 3 friends, so the total amount is 3*$9 = $27.

We also know that the cashier keeps $2, but these $2 must come from the $27 that the friends paid.

Then we will have $27 = $25 + $2.

This means that the total cost was $25, and the cashier kept $2 as a tip.

Now, in your problem, you add the $2 that the cashier kept to the $27 that the friends paid. While those $2 actually are already counted in the $27 that the friends paid.

7 0

2 years ago