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3 years ago

You roll a fair 6-sided die. What is P(roll less than 3)? If necessary, round your answer to two decimal places.

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Answer:

0.33

Step-by-step explanation:

P(<3) = 2/6 = 1/3 because there are only 2 numbers less than 3.

= 0.33

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Simplify. remove grouping sbols and combine like terms

harina [27]

Answer:

$5a^2+12b^2-40b$

Step-by-step explanation:

First distribute the -4 to the 2b and -3b. This leaves you with $5a^2-8b+12b(b+4)$

Now you can distribute the 12b to b and +4. This leaves you with $5a^2-8b+12b^2+48b$

Now you can combine your like terms leaving you with $5a^2+12b^2-40b$ .

3 0

2 years ago

Pizza by the Pan sold 4 dozen pizzas in the afternoon. That night, they sold 2.5 times as many pizzas as they did during the aft

Sav [38]

Answer:

they sold 14 pizzas all day.

Step-by-step explanation:

4 x 2 = 8

0.5 means half of what they sold in the afternoon

4 ÷ 2 = 2

now add them both together to get the number of pizzas they sold at night.

8 + 2 = 10

now add the afternoon and night together

10 + 4 = 14

answer: 14 pizzas

6 0

3 years ago

What is the independent variable?

Pavlova-9 [17]

Answer:

Step-by-step explanation:

So there are two types of variables we need to focus on, the first is the dependent variable, the second is the independent variable ( which is the one in question). You asked about it in relation to mathematics, although even across the board, in science they both really mean the same thing. Here's an example, say you are taking a test, and the rubric for grading the test is 5 points (p) for every question (q) answered correctly. So given that information you can conclude that (p) is equal to 5 x the amount of questions you got right (p = 5q). The amount of points in this equation relies on how many questions you get right, you can't logically say that question (q) is equal to 5 points (p), because the questions don't depend on the points, the points depend on the amount of questions you get right. So that means since the points (p) depend on the # of questions you answered correctly, it is the dependent variable, there for by process of elimination you're independent variable is (q) since they don't rely on the points, the points rely on the questions. It all boils down to how well you can recognize this, and how complicated your question is, but hopefully this provided some insight.

6 0

2 years ago

Read 2 more answers

Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.

7 0

3 years ago

a ship sails 20km due north. It changes direction and then sails 15 due east. How far is it from its starting point?

Feliz [49]

It is 35km from its starting point

7 0

2 years ago