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3 years ago

What is y+1=2(x-4) written in standard form

Mathematics

2 answers:

IrinaVladis [17]3 years ago

5 0

Answer:

2x - y = 9

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

Rearrange y + 1 = 2(x - 4) into this form

y + 1 = 2x - 8 ( add 8 to both sides )

y + 9 = 2x ( subtract y from both sides )

9 = 2x - y ⇒ 2x - y = 9 ← in standard form

Verdich [7]3 years ago

3 0

Awnser: 2x-y=9

Step-by-step solution: y+1=2(x-4), step one simplify the parenthases y+1=2x-8, step two move all variables to one side of the equation, 1=2x-8-y, step three move all constants to the other side, 9=2x-y. And there we have it. And also if you end with more negatives than positives just multiply everything by negative one.

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A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha

ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of students received a passing grade = 77%

n = sample of tests = 40

p = population proportion

<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99 {As the critical value of z at 0.5%

level of significance are -2.5758 & 2.5758}

P(-2.5758 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 2.5758) = 0.99

P( $-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

P( $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.99

<u>99% confidence interval for p</u> = [ $\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } }$ , $0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } }$ ]

= [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0

2 years ago

How can you determine the number of solutions for an equation

ryzh [129]

The way to determine the number of solutions is to complete the problem in multiple different ways.

5 0

3 years ago

Which expressions are equivalent to 2-(-6+3)+4c

Artyom0805 [142]

Answer:

c. none of the above

Step-by-step explanation:

(-6+3)= -3

2--3=2+3=5

5+4c cant add them since they arent like terms

final answer 5+4c and that option isnt here

3 0

2 years ago

You spin the spinner below once. What is the probability that the arrow will land on 3

Leni [432]

Answer:

how many numbers are there and if there is more of the same number then that will be ur probability

Step-by-step explanation:

8 0

3 years ago

H is inversely proportional to p

NeTakaya

Answer:

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4 0

3 years ago