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3 years ago

What is the theoretical probability that you will get a sum of 7? P(sum of 7)=

Mathematics

1 answer:

hammer [34]3 years ago

4 0

Answer:

$\frac{12}{36} or \frac{1}{3}$

Step-by-step explanation:

Notice that there are 6 sums of 7 on the table provided. For example rolling a 1 and then a 6 would produce a sum of 7.

The reason the answer is 12 and not 6 is that you need to double it for the two dice. Let's say one die was green and the other was blue. The green die could be the 1 and the blue die could be the 6. That is one favorable outcome, but it could be switched. Maybe the green die was 6 and the blue die was 1.

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Solve using any method. All work must be shown and handwritten.

Rashid [163]

Answer:

$x = - 3$

$y = 1$

Step-by-step explanation:

Write the system

$3x - y = - 10$

$x + y = - 2$

Solve by Elimination.

multiply the second equation by -3.

$3x - y = - 10$

$-3x - 3y = 6$

Add the Equations.

$- 4y = - 4$

$y = 1$

Plug this back in one of the equations.

$x + 1 = - 2$

$x = - 3$

8 0

3 years ago

Read 2 more answers

A blender that normally costs $130 is on sale for 12% off. What is the final cost of the blender if there is also an 8% sales ta

polet [3.4K]

Answer:

$105.25

Step-by-step explanation:

First we need to know to price of the blender after the sale, so we are going to pay the 88% of the blender's price so the final price without the sale tax is going to be

$\$130\times .88=\$ 114.4$ (1)

Knowing this price we need to calculate the 8% of the total price

$\$ 114.4 \times .08=\$ 9.152$ (2)

We substract the result (2) from (1)

$\$ 114.4 - \$ 9.152 = 105.248$

Rounding this number to nearest cent the final result is:

$105.25

8 0

3 years ago

What is the orthocenter of a triangle with vertices A(−3,−2)A(−3,−2), B(−2,2)B(−2,2), and C(2,−2)C(2,−2)?

ExtremeBDS [4]

A(−3,−2), B(−2,2), C(2,−2)

The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular $x=-2$ is the altitude through B.

Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):

$y+2 = -\frac 1 4 (x - 2)$

For the y coordinate of the orthocenter we substitute in x=-2.

$y+2 = -\frac 1 4(-2 - 2) = 1$

$y = -1$

So the orthocenter is (x,y)=(-2,-1)

Answer: (-2,-1)

8 0

3 years ago

Which statement is true? Question 1 options: A) – |–13| = 13 B) – |13| = 13 C) |–13| = 13 D) |13| = – 13

ExtremeBDS [4]

Answer:

The answer is C. |-13| = 13

Step-by-step explanation:

The definition of absolute value is:

$\displaystyle \large{ |x| = \begin{cases} x \: \: (x \geqslant 0) \\ - x \: \: (x < 0) \end{cases}}$

To say it simply, any real numbers in absolute sign, when evaluated, they will always be positive.

No matter the positive real numbers or negative real numbers - if these numbers are in absolute sign, they will be evaluated to positive.

Examples

$\displaystyle \large{ |2| = 2} \\ \displaystyle \large{ | - 2| = 2} \\ \displaystyle \large{ | - 8| = 8}$

But if the negative is not inside the absolute sign.

Examples II

$\displaystyle \large{ - |2| = - 2} \\ \displaystyle \large{ - | - 2| = - 2} \\ \displaystyle \large{ - | - 8| = - 8}$

First, we evalute the absolute value first. We know thay any real numbers in absolute sign will become positive. Next, after evaluating the absolute value, we simply add the negative symbol beside the positive number.

Simplified Definition

This one is to make it simple to remember.

$\displaystyle \large{ |a| = a} \\ \displaystyle \large{ | - a| = a} \\ \displaystyle \large{ - |a| = - a} \\ \displaystyle \large{ - | - a| = - a}$

After reading the explanation, see the choices and tell if they are true or not.

The A choice is wrong as we know that -|-13| is -13.

The B choice is wrong, the reason is same as the A choice.

The C choice is correct! Any real numbers in absolute sign are always positive.

The D choice is wrong because absolute-value numbers cannot be negative, refer to the C choice's reason.

Let me know if you have any questions!

3 0

2 years ago

42/-8 Divide Please answer asap

krok68 [10]

It's -5.25 because 5*8 is 40 and 6*8 is 48.

5 0

3 years ago

Read 2 more answers