Find the solution for the following equation using the algebraic method: 3x^2+10x=8

This table models continuous function f.

Tanya [424]

The answer to this is C

3 0

2 years ago

suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t

lubasha [3.4K]

The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
$C(7, 4) = \frac{7!}{4!(7 - 4)!}$
$= \frac{5040}{4!3!}$
$= \frac{5040}{24 \cdot 6}$
$= \frac{5040}{144} = 35$

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

$\text{P(4 women): } \frac{35}{495} = \frac{7}{99}$

3 0

3 years ago

Jahmal has p pairs of shoes. Kyle has one less than five times as many pairs of shoes as Jahmal. What expression represents the

rewona [7]

Problem 1

Jahmal has p pairs of shoes.: p

Kyle has one less than five times as many pairs of shoes as Jahmal.: 5p - 1

Total: p + 5p - 1 = 6p - 1

Answer: 6p - 1

Problem 2

The problem gives the original price as g. there is no s mentioned in the problem, so I don't see how you can express the higher price in terms of s. Of course, it could be that the original price is s, not g, so then just replace g with s in my answer.

The new price is g plus 15% of g.

g + 15% of g =

= g + 0.15g

= 1.15g

Answer: 1.15g

Problem 3

One package of markers costs m. 7 packages of markers cost 7m. Now you need to add 9% of 7m to 7m. If you consider 7m to be 100%, if you add 9% to 100%, you get 109%, so you need to express 109% of 7m. To find a percent of a number, multiply the percent by the number. To find 109% of 7m, multiply 109% by 7m.

109% * 7m = 1.09 * 7m = 7.63m

Answer: 7.63m

Problem 4

She earns $2.15 per hour and works 10 hours.

$2.15/hour * 10 hours = $21.50

From her salary, she earns $21.50 for the 10-hour shift.

Her customer receipts totaled r, and she earns 20% of r in addition to her salary. 20% of r = 0.2r. She earns $21.50 + 0.2r

Answer: $21.50 + 0.2r

3 0

3 years ago

Type the correct answer in the box. Round your answer to the thousandth place.

kupik [55]

Answer:

<u>The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

<u>The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)</u>

5 0

3 years ago

Read 2 more answers

Solve the system and round to the nearest hundredth. Enter the

hram777 [196]

Answer:

Step-by-step explanation:

xy = 300

x + y = 50 Solve for y

y = 50 - x substitute into xy = 300

x(50 - x) = 300 Remove the brackets.

50x - x^2 = 300 Bring the left to the right.

0 = x^2 - 50x + 300

This is a quadratic. It will have 2 solutions.

a=1

b = - 50

c = 300

Put these into the quadratic equation.

It turns out that x has two values -- both plus

x1 = 42.03

x2 = 6.97

x1 + y1 = 50

42.03 + y = 50

y = 50 - 42.03

y = 7,97

(42.03 , 7.97)

====================

x2 + y2 = 50

6.97 + y2 = 50

y2 = 50 - 6.97

y2 = 43.03

(6.97 , 43.03)

6 0

3 years ago

Read 2 more answers

Find the solution for the following equation using the algebraic method: 3x^2+10x￼=8

Find the solution for the following equation using the algebraic method: 3x^2+10x=8