1. a) Find the y-intercept of the line, then you find the slope the line, and then you can write the equation in y-intercept form, which is y=mx+b, m is the slope and b the y-intercept.

y= x+70 is the equation

b) 70

c) 120

3 0

3 years ago

Construct a right angled triangle XYZ with 90 at angle Y, YZ=7.5cm and XY =6cm

jeyben [28]

Answer:

1 draw a line of 7.5 cm YZ by scale

2 construct the 90 degree with the help of protecter

3 then cut arc of 6 cm on 90 degree of angle & mark as X

4 join X and Z by scale

6 0

3 years ago

9.4 The heights of a random sample of 50 college stu- dents showed a mean of 174.5 centimeters and a stan- dard deviation of 6.9

gladu [14]

Answer: a) (176.76,172.24), b) 0.976.

Step-by-step explanation:

Since we have given that

Mean height = 174.5 cm

Standard deviation = 6.9 cm

n = 50

we need to find the 98% confidence interval.

So, z = 2.326

(a) Construct a 98% confidence interval for the mean height of all college students.

$x\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=(174.5\pm 2.326\times \dfrac{6.9}{\sqrt{50}})\\\\=(174.5+2.26,174.5-2.26)\\\\=(176.76,172.24)$

(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?

Error would be

$\dfrac{\sigma}{\sqrt{n}}\\\\=\dfrac{6.9}{\sqrt{50}}\\\\=0.976$

Hence, a) (176.76,172.24), b) 0.976.

8 0

3 years ago