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Kipish [7]
3 years ago
8

Which of the following is the solution to the equation 2/3 over 3x = 12?

Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

<u>x = 54 and none of the alternatives given is correct</u>

Step-by-step explanation:

Let's solve for x in the equation given, this way:

2/3 ÷ 3x = 12

2/3 * x/3 = 12

2x/9 = 12

2x = 108

x = 108/2 = 54

Proof of x = 54

2/3 * 54/3 = 108/9 = 12

<u>x = 54 and none of the alternatives given is correct</u>

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The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food cos
JulijaS [17]

Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given mean of the population = 500 </em>

<em>Given standard deviation of the Population = 75</em>

Let 'X' be the variable in normal distribution

      Z = \frac{x-mean}{S.D}

<em>Given X = $410</em>

<em></em>Z = \frac{410-500}{75} = - 1.2<em></em>

<u><em>Step(ii):-</em></u>

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

<u>Final answer:-</u>

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

6 0
3 years ago
How do you name the median of this triangle?​
jarptica [38.1K]

Answer:

F

Step-by-step explanation:

The median is always the letter in the middle

5 0
3 years ago
What is the equation of the line in slope-intercept form?
belka [17]

Answer:

y = 3/5 x+3

Step-by-step explanation:

two points on the graph

(-5,0) (0,3)

the y intercept is 3  (this is where it crosses the y axis)

the slope is

change in y     0 to 3            up 3

------------------  = -------------- =  -------        =   3/5

change in x      -5 to 0             right 5


we can tell the slope is positive because it goes from bottom left to top right

a negative slope goes from top left to bottom right

slope intercept form is

y=mx+b

y = 3/5 x+3


3 0
3 years ago
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I think 20% srry just woke up
5 0
3 years ago
Open Response
labwork [276]

Answer:

10 times less

Step-by-step explanation:

In the number 356, 740, the 4 is in the tenths place.

In 763,450, the 4 is in the hundredths place.

100/10 = 10

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3 years ago
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