All categories

3 years ago

Use the equation y = x - 2 and perform a reflection over the x-axis. Write an equation in 2

Mathematics

1 answer:

vivado [14]3 years ago

3 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y=x-2

We know that Reflecting over the x-axis inverts the sign of the y-coordinate.

Thus, after reflecting over the x-axis, the equation would be:

-y = x - 2

Now, writing the equation in the slope-intercept form

y=mx+b

where

m is the slope and

b is the y-intercept

so the equation in the slope-intercept form

-y = x - 2

y = -x + 2

Here,

The slope = m = -1

The y-intercept = b = 2

You might be interested in

Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 students, she finds 2 w

irina1246 [14]

Answer:

A 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus is [0.012, 0.270].

Step-by-step explanation:

We are given that Jane wants to estimate the proportion of students on her campus who eat cauliflower. After surveying 24 students, she finds 2 who eat cauliflower.

Firstly, the pivotal quantity for finding the 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 who eat cauliflower

n = sample of students

p = population proportion of students who eat cauliflower

Here for constructing a 95% confidence interval we have used a One-sample z-test for proportions.

So, 95% confidence interval for the population proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5% level

of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

Now, in Agresti and Coull's method; the sample size and the sample proportion is calculated as;

$n = n + Z^{2}__(\frac{_\alpha}{2})$

n = $24 + 1.96^{2}$ = 27.842

$\hat p = \frac{x+\frac{Z^{2}__(\frac{\alpha}{2}_) }{2} }{n}$ = $\hat p = \frac{2+\frac{1.96^{2} }{2} }{27.842}$ = 0.141

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.141 -1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }$ , $0.141 +1.96 \times {\sqrt{\frac{0.141(1-0.141)}{27.842} } }$ ]

= [0.012, 0.270]

Therefore, a 95% confidence interval for the proportion of students who eat cauliflower on Jane's campus [0.012, 0.270].

The interpretation of the above confidence interval is that we are 95% confident that the proportion of students who eat cauliflower on Jane's campus is between 0.012 and 0.270.

7 0

2 years ago

Several members at a gym were asked how many minutes they worked out at the gym that day as well as how many calories they burne

n200080 [17]

Answer:

your welcome

Step-by-step explanation:

he said thank you

4 0

3 years ago

In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region

stich3 [128]

let's find the area of the outer circle and the inside circle

the inside's circle area

A= π x 6²=36π

the outer's

A' = π x 4x²= 4πx²

A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.

5 0

2 years ago

1. PLEASE HELP. Consider the matrices-

Alex

Answer:

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Step-by-step explanation:

Since Matrix A and Matrix B have the same size, then we can simply perform the operation of subtraction on each position within the matrices to get the resulting subtracted matrix.

A = [ 4 7 ] B = [ 5 4 ]

[ -3 8 ] [ 3 6 ]

[ -5 -2 ] [ -1 8 ]

A - B = [ (4 - 5) (7 - 4) ]

[ (-3 - 3) (8 - 6) ]

[ (-5 - -1) (-2 - 8) ]

A - B = [ -1 3 ]

[ -6 2 ]

[ -4 -10 ]

Cheers.

8 0

3 years ago

The average sunflower has 34 petals. What is the best estimate of the total number of petals on 9 sunflowers?

Rainbow [258]

Answer:

~306

Step-by-step explanation:

34 * 9 = 306

4 0

3 years ago