In which equation is y a linear function of x?

(a)b - 0.5b when a = 1 and b = 5

Allisa [31]

Answer:

(1)5 - 0.5(5) = 5 - 2.5 =======2.5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week

Levart [38]

Answer:

99% confidence interval for the population proportion of employed individuals is [0.104 , 0.224].

Step-by-step explanation:

We are given that a simple random sample of size n=250 individuals who are currently employed is asked if they work at home at least once per week.

Of the 250 employed individuals surveyed, 41 responded that they did work at home at least once per week.

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 individuals who work at home at least once per week = $\frac{41}{250}$ = 0.164

n = sample of individuals surveyed = 250

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

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

= [ $0.164-2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } }$ , $0.164+2.5758 \times {\sqrt{\frac{0.164(1-0.164)}{250} } }$ ]

= [0.104 , 0.224]

Therefore, 99% confidence interval for the population proportion of employed individuals who work at home at least once per week is [0.104 , 0.224].

7 0

3 years ago

HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.

alex41 [277]

Answer:

a) independent = hours

dependent = wages

b ) W = 10 + 5h

c)27.50

Step-by-step explanation:

The independent variable is the one that you change which is the number of hours that it takes

The dependent variable is the variable that changes based on the independent variable. The wages depends on the hour worked so the wages are the independent variable

The wages equal the fixed cost plus the hourly rate times the number of hours where W is the wages and h is the number of hours

W = 10 + 5h

W = 10 + 5( 3.5)

= 10 + 17.5

= 27.5

5 0

3 years ago

Bryce needs to feet of ribbon to tie a bow around a birthday present. he has 3 feet of ribbon is that enough

ehidna [41]

I don't know to answer but i am good at geometry
Feel free to ask me

7 0

3 years ago

Apply the Pythagorean Theorem to find the distance between points B and C. A) 18 units B) 55 units C) 64 units D) 73 units

nadya68 [22]

Answer:

$BC=\sqrt{73}$

Step-by-step explanation:

Notice that A, B, and C constitute the vertices of a right angle triangle, with the right angle at the vertex A.

If we count the number of squares separating B and A (one of the legs of the right angle triangle) we find 8 units.

If we count the number of squares separating C from A (the other leg of the right angle triangle), we get: 3 units.

Then, we apply the Pythagorean theorem to find that length of the triangle's hypotenuse which is the segment BC:

$BC=hyp=\sqrt{8^2+3^2} =\sqrt{64+9} =\sqrt{73}$

3 0

3 years ago