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olga55 [171]
2 years ago
12

1x+11y=55 substitution

Mathematics
1 answer:
STatiana [176]2 years ago
4 0

Answer:

y = -1/11 + 5

Step-by-step explanation:

1x + 11y = 55

-1x          -1x

11y = -1x + 55

/11        /11

y = -1/11 + 5

Hope this helps!

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An auto maker estimates that the mean gas mileage of its sports utility vehicle is at least 20 miles per gallon. A random sample
Nady [450]

Answer:

Yes, we reject the auto maker's claim.

Step-by-step explanation:

H0 : μ ≥ 20

H1 : μ < 20

Sample mean, xbar = 18 ;

Sample size, n = 36

Standard deviation, s = 5

At α = 0.01

The test statistic :

(xbar - μ) ÷ s /sqrt(n)

(18 - 20) ÷ 5/sqrt(36)

-2 /0.8333333

= - 2.4

Pvalue from test statistic : Pvalue = 0.00819

Pvalue < α

0.00819 < 0.01

Hence, we reject the Null

7 0
3 years ago
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
bija089 [108]

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4 0
3 years ago
Billy plotted −3
Darina [25.2K]

He is correct.

The further away ( to the left) from 0 a negative number is the smaller it is.

7 0
3 years ago
Read 2 more answers
Solving an Absolute Value Equation
Andre45 [30]

Answer:

Solution set = {-12, 12}

Step-by-step explanation:

Start by dividing both sides of the given equation by negative one, to get rid of the negative signs on both sides:

-\,|-x|=-\,12\\|-x|=12

Now we consider the two possible cases:

1) The expression inside the absolute value symbol is a positive number, then :

|-x|=-x\\

and replacing it in the equation, this becomes:

|-x|=12\\-x=12\\x=-12

which is our first answer.

2) The expression inside the absolute value symbol is a negative number, then :

|-x|=x\\

and replacing it in the equation, this becomes:

|-x|=12\\x=12

which is our second possible answer.

Then the set of solutions is: {-12, 12}

8 0
3 years ago
Out of 500 people in a room, 200 of them are wearing red shirts. Of the people wearing red shirts, 15% are wearing red pants. Wh
liberstina [14]
Number of people wearing red pants
= 200/100 x 15
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Therefore the percentage is
= 30/500 x 100%
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2 years ago
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