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3 years ago

Please help me in this:

Mathematics

1 answer:

Svetlanka [38]3 years ago

4 0

What exactly do you need help with?!

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3 (4x - 2) - 30 = -6 (6 - 2x) - 20

irga5000 [103]

Answer:

Step-by-step explanation:

3(4x-2)-30=-6(6-2x)-20

12x-6-30=-36+12x-20

12x-36=12x-56

6 0

3 years ago

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

3 years ago

Consider the line represented by the equation 5x + 2y = 10. How is the slope of the line related to values of A, B, and C in sta

Flauer [41]

Step-by-step explanation:

5x + 2y = 10

Ax + By = C

A = 5

B = 2

C = 10

5 0

3 years ago

Liana is putting a border around a right triangle and needs to figure out the triangle's height. If the triangle has a base leng

nordsb [41]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the Equation of x(2x+5)-3(2x+5)=0

Nata [24]

2x² + 5x -6x - 15 = 0

2x² - x - 15 = 0

2x² -x = 15

x = 3

3 x 3 = 9 x 2 = 18 - 3 = 15

i really don't know how i got 3 in the first place but that is your answer

hope this helps

5 0

3 years ago