Answer:
90% confidence interval for the true mean weight of orders is between a lower limit of 103.8645 grams and an upper limit of 116.1355 grams.
Step-by-step explanation:
Confidence interval for true mean weight is given as sample mean +/- margin of error (E)
sample mean = 110 g
sample sd = 14 g
n = 16
degree of freedom = n - 1 = 16 - 1 = 15
confidence level = 90% = 0.9
significance level = 1 - C = 1 - 0.9 = 0.1 = 10%
critical value (t) corresponding to 15 degrees of freedom and 10% significance level is 1.753
E = t × sample sd/√n = 1.753×14/√16 = 6.1355 g
Lower limit of sample mean = sample mean - E = 110 - 6.1355 = 103.8645 g
Upper limit of sample mean = sample mean + E = 110 + 6.1355 = 116.1355 g
90% confidence interval is (103.8645, 116.1355)
9^2*4^4 is the correct answer I believe.
Answer:
<h2>46 cm</h2>
Step-by-step explanation:
first ,we use the Pythagorean theorem to determine the width:
width = √(17^2-15^2) = 8
then
perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46
Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph
is below

Step-by-step explanation:
Slope of the equation
is 
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as

Equation of line in point slope form is given as

Here (x1, y1) = (4, -8)

Simplifying it further


Answer:
13 , 6.
Step-by-step explanation:
A equation is given to us and we need to find out the value of x . The given equation to us is ,
Cross multiply ,
Squaring both sides ,
Simplify the whole square ,
Add 3 and subtract x on both sides ,
Simplify ,
Split the middle term of the quadratic equation,
Take out common ,
Take out ( x -13 ) as common ,
Equate both factors to 0 ,
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>x</u><u> is</u><u> </u><u>1</u><u>3</u><u> </u><u>or </u><u>6</u><u> </u><u>.</u>