Converting scores into Z scores standardizes the original distribution to units of the

Find the solutions to the equation below 30x^2-28x+6 =0

Naddik [55]

For this case, we have the following equation of the second degree:

$30x ^ 2-28x + 6 = 0$

If we divide between 2 on both sides of the equation, we will have:

$15x ^ 2-14x + 3 = 0$

Where:

$a = 15\\b = -14\\c = 3$

The solutions will come from:

$x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}$

Substituting:

$x = \frac {- (- 14) \pm \sqrt {(- 14) ^ 2-4 (15) (3)}} {2 (15)}\\x = \frac {14 \pm \sqrt {196-180}} {30}\\x = \frac {14 \pm \sqrt {16}} {30}\\x = \frac {14 \pm4} {30}$

So, we have:

$x_ {1} = \frac{14 + 4} {30} = \frac {18} {30} = \frac {18} {30} = \frac {3} {5}\\x_ {2} = \frac {14-4} {30} = \frac {10} {30} = \frac {1} {3}\\$

Answer:

$x_ {1} = \frac {3} {5}\\x_ {2} = \frac {1} {3}$

Option A

Option E

6 0

3 years ago

Read 2 more answers

Can someone help me identify what quadrilateral is this?

photoshop1234 [79]

Answer:

Its C

Step-by-step explanation:

4 0

3 years ago

Part B A sales person earned 1375

Furkat [3]

Question:

A salesperson earns commission on the sales that she makes each month.

The salesperson earns a 5% commission on the first $5,000 she has in sales.

The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.

Part A:

This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?

Part B:

The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?

Answer:

A) The amount of commission = $575

B) The total sales amount = $20000

Step-by-step explanation:

Given:

Total amount earned = $8,000 in sales

To Find :

The amount of commission, in dollars

Solution:

The commission she earns = Commission 1+ Commission 2----------(1)

Commission 1 = 5% of 5000

Commission 2 = 7.5 % of (8000- 5000}

Finding commission 1:

= 5% of 5000

= $\frac{5}{100} \times 5000$

= $0.05 \times 5000$

= $250 ------------------------------(2)

Finding commission 2:

= 7.5 % of (3000)

= $\frac{7.5}{100}\times 3000$

= $0.075 \times 3000$

= $225----------------------------------(3)

Substituting (2) and (3) in (1)

The commission she earns = $250 + $225 = $575

Given:

Total commission earned = $1375

To Find :

The total sales amount = ?

Solution ;

Let the sales amount be x

Then

1375 = 5% of 5000 + 7.5 % of (x -5000)

$1375 = 0.05 \times 5000 + 0.075 \times (x -5000)$

1375 = 250 + 0.075x - 375

1375 = -125 + 0.075 x

1375 +125 = 0.075 x

1500 = 0.075x

$x = \frac{1500}{0.075}$

x = 20000

The total sales amount is $20000

5 0

2 years ago

The volume of a prism with side lengths measured in millimeters is 20. How could this measurement be written? Check all that app

Katyanochek1 [597]

The unit measurement of the a volume in mm is mm³(millimetres cube.)

<h3>How to find volume ?</h3>

Volume is is defined as the space occupied within the boundaries. The objects are usually solid objects.

The volume of a 3 dimensional figure is the product of the base area and the height.

Therefore, the units of volume is measured in cubic units.

The volume of a prism with side lengths measured in millimetres is 20.

Therefore, the measurement can be represented as follows:

20 mm³

learn more on volume here: brainly.com/question/16310824

#SPJ1

4 0

1 year ago

Please help me answer the question 9 though 10

olchik [2.2K]

Answer:

9) slope of AC = slope of FH

Equation of the line is y = - x + 5

10) Area = 320

Step-by-step explanation:

For 9, the only thing similar IS the slope of the hypotenuse because the triangles are along the same line. Unless they're asking for the equation of the line, then that's just using the point slope equation which is:

y = - x + 5

For 10, just multiply 4 and 5 by 4 to get 16 and 20. Then multiply 16 and 20 to get 320.

8 0

2 years ago