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2 years ago

What the value of the expression 4(a2-b2) when a= -5 and b=3

Mathematics

1 answer:

Schach [20]2 years ago

8 0

Answer:

4(-5*3-3*2)

=4(-15-6)

=4(-21)

= -84

Hope this will help:-)

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What is the slope of the line that passes through the following points: (3,-1) and (-1,2)?

Katyanochek1 [597]

with the equation of the slope for two points given, m=Y2-Y1/ X2-X1, you can obtain the slope , x1= 3, y1 = -1 , x2= -1, y2= 2

m = 2-(-1)/ -1-3 ⇒ m= 3/-4, m = -3/4, therefore the slope is - 3/4

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3 years ago

A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of

amid [387]

Answer:To find out the theoretical probability of the case given, we need to make certain assumptions.

First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

Answers 10 questions.

Each question has 4 options with only one correct answer and all other incorrect answers.

Student is equally likely to pick any outcome in any given question.

Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

The number of trials is 10.

Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

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3 years ago

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Explanation
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2 years ago

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A circular well has a circumference of 7.85 yards. What us the diameter of the well

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2 years ago

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se necesita llenar un galon de agua,en 2 litros se tarda 30 minutos.cuantos litros me hacen falta para completar el galon y cual

mariarad [96]

Answer: 1.78 L are needed to complete the gallon and it will take 29.66 min to completely fill it

Step-by-step explanation:

The question in english is:

A gallon of water needs to be filled, in 2 liters it takes 30 minutes. How many liters do I need to complete the gallon and what is the time it takes me to fill it?

We know 1 gallon is equal to 3.78 liters:

$1 gal=3.78 L$

In addition, we are told you have filled the gallon with $2 L$ at a rate of $\frac{2 L}{30 min}=0.06 L/min$ .

So, if we want to know how many liters are left to completely fill the gallon, we have to sbstract the $2 L$ to the total amount of a gallon:

$3.78 L-2 L=1.78 L$ This is the amount you need to complete the gallon

On the other hand, the rate is defined as:

$rate=\frac{Liters}{time}$

Isolating $time$ :

$time=\frac{Liters}{rate}$

Then, if we input the $1.78 L$ we need to fill the gallon we will have the time:

$time=\frac{1.78 L}{0.06 L/min}$

$time=29.66 min$ This is the time you need to fill the gallon

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3 years ago