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3 years ago

A number cube is rolled 450 times. The number 3 comes up 67 times.

1 answer:

5 0

Probability of an event =(Number of favorable outcomes)/(Total number of outcomes) Here, the number of favorable outcomes is the number of times 3 comes up. The number of times 3 comes up = 67 Total number of outcomes is the number of times the cube is rolled. Total number of times the cube is rolled = 450 Therefore, Probability of getting a 3 =67/450 Since 67 is a prime number, 67/450 is the final answer in simplest form.

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Identify the simplest form of each ratio.

Otrada [13]

Answer:

38:48=3:4

48:42= 8:7

20:30= 2:3

16:14=8:7

9:12=3:4

56:49=8:7

24:32=3:4

24:36=2:3

18:27=2:3

7 0

3 years ago

F(x) = 4x^2+ 7x – 18 f(-9)

balandron [24]

Answer:

f(-9) = 243

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 7x - 18

f(-9) is x = -9

Step 2: Evaluate

Substitute in x: f(-9) = 4(-9)² + 7(-9) - 18
Evaluate Exponents: f(-9) = 4(81) + 7(-9) - 18
Multiply: f(-9) = 324 - 63 - 18
Subtract: f(-9) = 261 - 18
Subtract: f(-9) = 243

5 0

3 years ago

Can someone tell me if this is right?

Luda [366]

Answer: (no promises this is exactly right)

-2r+6

Step-by-step explanation:

−3r+9+r+−3 =

(−3r+r)+(9+−3) =

−2r+6

3 0

3 years ago

Rationalize the denominator of square root of negative 16 over open parentheses 1 plus i close parentheses plus open parentheses

emmasim [6.3K]

$\bf \cfrac{\sqrt{-16}}{(1+i)+(6+3i)}\implies \cfrac{\sqrt{-1\cdot 16}}{1+i+6+3i}\implies \cfrac{\sqrt{-1}\cdot \sqrt{16}}{7+4i}
\\\\\\
\cfrac{i\cdot \sqrt{4^2}}{7+4i}\implies \cfrac{4i}{7+4i}\impliedby 
\begin{array}{llll}
\textit{now, we'll multiply by the}\\
\textit{conjugate of the denominator}
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{and recall }\textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
\textit{also recall that }i^2=-1
\\\\
-------------------------------\\\\$

$\bf \cfrac{4i}{7+4i}\cdot \cfrac{7-4i}{7-4i}\implies \cfrac{4i(7-4i)}{(7+4i)(7-4i)}\implies \cfrac{28i-16i^2}{7^2-(4i)^2}
\\\\\\
\cfrac{28i-16(-1)}{49-(4^2i^2)}\implies \cfrac{28i+16}{49-[16(-1)]}\implies \cfrac{16+28i}{49+16}\implies \cfrac{16+28i}{65}
\\\\\\
\cfrac{16}{65}+\cfrac{28i}{65}$

5 0

4 years ago

Please answer this question now in two minutes

S_A_V [24]

Answer:

IJK and KJM

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross

they are always equal in measure and share a point (in this case J)

hope this helps

5 0

4 years ago