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3 years ago

HELP asap plz Solve 2y^2 – 3y = 2

1 answer:

7 0

Your answer is y = -1/2 and y = 2

To solve this quadratic we first need to subtract 2 from both sides to set it equal to 0, which gives us 2y² - 3y - 2 = 0

Then we just need to factorise it:

2y² - 3y - 2 = 0
(2y + 1)(y - 2) = 0

Now we can set each bracket equal to 0 and solve for y:
2y + 1 = 0
2y = -1
y = -1/2

y - 2 = 0
y = 2

I hope this helps! Let me know if you have any questions :)

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Two friends argue about the calculated probability of flipping a coin to show heads three times in a row. steve mentions that ea

den301095 [7]

Solution:

A coin is flipped three times,resulting three heads in a row.

Since Steve has mentioned that , each flip of a coin is unconnected to the previous flip.

Two or more events are said to be independent if occurrence of one of them is not affected by the Occurrence of other.

This is an example of independent events.

In terms of probability, P (A∩B∩C)= P(A)×P(B)×P(C)

4 0

3 years ago

8. The Last Supper

Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

$n = 1 * 2 * 3! * 3! * 4!$

Evaluate the product

$n = 1728$

Hence, there are 1728 possible sitting arrangements

Read more about permutation at:

brainly.com/question/12468032

7 0

2 years ago

What is 16% of 140.

Helga [31]

16% = 0.16

'of' = multiplication

0.16 * 140 = 22.4

6 0

3 years ago

Read 2 more answers

Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following event

Paladinen [302]

Answer:

Step-by-step explanation:

The sample space is shown in the attached photo.

Probability = number of favourable outcomes/total number of outcomes.

Looking at the diagram, the total possible outcomes is 36.

A) from the diagram, the total number of events in which the sum of the numbers is odd is 18. Therefore, the probability that the sum of the numbers is odd is

18/36 = 1/2

B) the total number of events in which the sum of the numbers is 10 or more is 6. Therefore, the probability that the sum of the numbers is 10 or more is

6/36 = 1/6

C) the total number of events in which 3 appears on each of the two dice is 1. Therefore, the probability that 3 appears on each of the two dice is

1/36

7 0

2 years ago

Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!

Nonamiya [84]

Answer:

The corresponding answers to the questions are 9.625 cm² , 459, 304.5m², 1 : 3 , 3:4 , 10,000 pounds , 36 inches.

Step-by-step explanation:

Area of triangle = 0.5 x base length x height

Here base length = 5.5cm and height = 3.5cm

So area will be 0.5 x 5.5 x 3.5 cm² = 9.625 cm²

919/2 rounding off to nearest whole

We know that the value of 919/2 = 459.5 .

So the nearest whole number value to which it can be rounded off is 459.

We know that area of parallelogram is base length x height

Here, base length =14.5m and height = 21m

So area = 14.5 x 21 m² = 304.5m²

No. of grilled cheese sandwiches sold = 200

No. of tacos sold = 100

No. of grilled chicken salads sold = 150

Total lunches sold = 200 + 100 + 150 = 450

So, ratio of chicken salads to lunches sold is 150 : 450 = 1 : 3

Given number : 7,208,631

Odd digits here - 7,3,1 - 3 digits

Even digits here - 2,0,8,6 - 4 digits

So, ratio of odd digits to even digits is 3:4

One ton = 2000 pounds

So 5 tons = 5 x ( 1 ton) = 5 x 2000 pounds = 10,000 pounds

Table length = 3 feet

We know that 1 foot = 12 inches

So table length = 3 foot = 3 X 12 inches = 36 inches

8 0

2 years ago