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Pachacha [2.7K]
3 years ago
5

2x+9=25 need reason for its statement

Mathematics
1 answer:
wel3 years ago
4 0
Look at 2%2Ax%2B9=highlight_red%28+25+%29.
Moved these terms to the left highlight_green%28+-25+%29
It becomes 2%2Ax%2B9-highlight_green%28+25+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+9+%29-highlight_red%28+25+%29=0.
Added fractions or integers together
It becomes 2%2Ax%2Bhighlight_green%28+-16+%29=0.
Look at 2%2Ax%2Bhighlight_red%28+-16+%29=0.
Removed extra sign in front of -16
It becomes 2%2Ax-highlight_green%28+16+%29=0.
Look at highlight_red%28+2%2Ax-16+%29=0.
Solved linear equation highlight_red%28+2%2Ax-16=0+%29 equivalent to 2*x-16 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=8.
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We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2
Aliun [14]

Answer:

a) 2.09167

b) 0.2

c) 130 correspondents

d) 5.38 hours per day

e) 69%

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 2.98hrs/day, Standard Deviation = 2.4

a) What is the Z score for a person who watches more than 8 hrs/day.

z = 8 - 2.98/2.4

= 2.09167

b) What proportion of people watch 5 hrs/day or more television?

z = 5 - 2.98/2.4

z = 0.84167

Determining the Probabilityvalue from Z-Table:

P(x<5) = 0.80001

The proportion of people watch 5 hrs/day or more television

P(x>5) = 1 - P(x<5) = 0.19999

Approximately = 0.2

c) How many does this correspond to in the sample?

From the question above, we are told that: there are 650 GSS respondents in 2006 watched television

Hence the proportion that corresponds to Question b is

0.2 × 650

= 130 correspondents

Therefore, 130 correspondents watch 5 hrs a day or more television

d) What number of television hours per day corresponds to a Z = +1.

z score formula is given as:

z = (x-μ)/σ

Z = +1

x = unknown

Mean = 2.98

Standard deviation = 2.4

Hence:

1 = x - 2.98/2.4

Cross Multiply

1 × 2.4 = x - 2.98

2.4 = x - 2.98

2.4 + 2.98 + x

= 5.38 hours per day.

e)What is the percentage of people who watch between 1 and 6 hours of television per day?

For x = 1

z = 1 - 2.98/2.4

z = -0.825

Probability value from Z-Table:

P(x= 1) = 0.20469

For x = 6

z = 6 - 2.98/2.4

z = 1.25833

Probability value from Z-Table:

P(x = 6) = 0.89586

The percentage of people who watch between 1 and 6 hours of television per day is calculated as:

P(x = 6) - P(x = 1)

0.89586 - 0.20469

= 0.69117

Converting to percentage,

0.69117 × 100%

= 69.117%

To the nearest whole number = 69%

Therefore, 69% of the people who watch between 1 and 6 hours of television per day

3 0
3 years ago
What is the slope of a line that is parallel to the graph of 5x+4y=y?
torisob [31]

Answer:

-5/3

Step-by-step explanation:

7 0
3 years ago
-8-x=x-4x <br> Solving equations with variables on both sides
Trava [24]

Answer: x=4

Step-by-step explanation:

-8-x=x-4x

-8-x=-3x

-8=-2x

x=4

8 0
2 years ago
Read 2 more answers
What is the range of f(x) = ( 3/4 ) x - 4?
worty [1.4K]

it's B

I just took the test

7 0
3 years ago
Ill give 5 starts to who ever helps me.
Ivahew [28]
No it doesn't be i thought that it you would have to find a domain but i couldn't
5 0
3 years ago
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