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2 years ago

Solve : 4+3x =(3x-7)+9.

Mathematics

2 answers:

lesantik [10]2 years ago

6 0

X=3
Hope this helped

dezoksy [38]2 years ago

5 0

Answer:

D.) x = 3

Step-by-step explanation:

4 + 3x = 2(3x - 7) + 9

4 + 3x = 6x - 14 + 9

3x - 6x = 9 - 14 - 4

-3x = -9

x = -(-9)/3

x = 9/3

x = 3

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Roll the number cube to find the observed frequency. Which statements are true? Check all that apply

ch4aika [34]

Answer:

(a) and (c)

Step-by-step explanation:

Given

See attachment for complete question

Required

Select all true statements

First, calculate the total observed frequency;

$Total = 11 + 16 + 14 + 20 + 12 + 17$

$Total = 90$

(a): Relative frequency of 4 is 2/9

Relative frequency is calculated by:

$RF= \frac{Observed\ Frequency}{Total}$

For roll 4

$Observed\ frequency = 20$

So, the relative frequency is:

$RF = \frac{20}{90}$

Simplify

$RF = \frac{2}{9}$

(a) is true

(b): Experimental probability of 3 greater than its theoretical probability

The experimental probability is its relative frequency;

For roll 3

$Observed\ frequency = 14$

The experimental probability is:

$Pr = \frac{14}{90}$

Simplify

$Pr = \frac{7}{45} = 0.156$

To calculate the theoretical probability, w have:

$S = \{1,2,3,4,5,6\}$ ---- sample space

$n(S)= 6$

$n(3) = 1$ --- number of times 3 occur

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The theoretical probability is $greater\ than\ the$ experimental probability.

(b) is false

(c): Experimental probability of 2 greater than its theoretical probability

Using the explanations in (b), we have:

For roll 2

$Observed\ frequency = 16$

The experimental probability is:

$Pr = \frac{16}{90}$

Simplify

$Pr = \frac{8}{45} = 0.178$

To calculate the theoretical probability, we have:

$n(S)= 6$

$n(2) = 1$

The theoretical probability is:

$Pr = \frac{1}{6} = 0.167$

The experimental probability is $greater\ than\ the$ theoretical probability.

(c) is true

(d): Relative frequency of 5 is 2/13

For roll 5

$Observed\ frequency = 12$

The relative frequency is:

$RF = \frac{12}{90}$

Simplify

$RF = \frac{2}{15}$

(d) is true

7 0

2 years ago

Simplify the expression. 68 – 18 ÷ 3 • 6 Please help

MAXImum [283]

Remember PEMDAS (Parenthesis, Exponents, Multiplication, Divison, Addition and Subtraction)

Also note that Multiplication and Division needs to be done left to right and the same goes for Addition and Subtraction.

So in your problem, the first operation we need to do is division.

68 - (18/3) x 6
68 - 6 x 6

Now we do multiplication
68 - 6 x 6
68 - 36

Finally we do subtraction because that's the only operation we have left to do
68 - 36 = 32

So your answer should be 32.

5 0

3 years ago

The legs of a right triangle are 10 centimeters and 24 centimeters long what is the length of the hypotenuse ?

spayn [35]

Let the hypotenuse be x then,
Using the pythagoras theorm,
10^2 + 24^2 = x^2 (alt^2 + base^2 = hypo^2)
100 + 576 = x^2
676 = x^2
Therefore x= square root of 676 = 26
Hope this helped! :D

6 0

2 years ago

Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a pri

UNO [17]

Answer:

I think it's C

Step-by-step explanation:

Maey should hire a landscaping service and if ther is more than 7.5h she could hire her neighbour

4 0

2 years ago

Read 2 more answers

What is the half way point of -20 and +10