What is the next letter cd hi mn RS

Tina is saving to buy a notebook computer. She has two options. The first option is to put $500 away initially and save $30 ever

Jlenok [28]

First option:
y=money saved
x=number of months

y=30x+500

Second option:

y=50x+200

We have this system of equations:

y=30x+500
y=50x+200

We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15

so;
y=30x+500
y=30(15)+500
y=450+500
y=950

Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.

3 0

3 years ago

Define the random variables X and X in words. X is the amount of time an individual waits at the courthouse to be called for ser

densk [106]

<u>Question</u>

Suppose that a committee is studying whether or not there is excessive time waste in our judicial system. It is interested in the mean amount of time individuals spend at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was 4 hours with a sample standard deviation of 1.2 hours. Define the random variables X and $\bar{X}$ in words.

Answer:

(B)

X is the amount of time an individual waits at the courthouse to be called for service.
$\bar{X}$ is the mean wait time for a sample of individuals.

Step-by-step explanation:

The random variable X is the amount of time for which each of the prospective juror waits at the courthouse before being called for service.

$\bar{X}$ is the mean wait time for a the given sample of individuals. In the case given,

5 0

3 years ago

What is a object accelerated if its moving in 30m and stops at 5 seconds

Ivan

6 meter / second square.

8 0

3 years ago

V = 1/3 π r^2 h for h<br> HELP

Ipatiy [6.2K]

Answer:

h = 3V / π r^2.

Step-by-step explanation:

V = 1/3 π r^2 h

h = V / ( 1/3 π r^2)

= 3V / π r^2.

5 0

3 years ago

I don’t understand what this question is asking for

Elden [556K]

Answer:

(d) m∠AEB = m∠ADB

Step-by-step explanation:

The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.

__

<h3>applicable relations</h3>

Several relations are involved here.

The measures of the arcs of a circle total 360°
A diameter cuts a circle into two congruent semicircles
The measure of an inscribed angle is half the measure of the arc it intercepts

<h3>application</h3>

In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)

If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.

The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.

m∠AEB = m∠ADB

_____

<em>Additional comment</em>

Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.

7 0

2 years ago