MATHEMATICS COLLEGE

Suppose a candy connoisseur opened a random bag of candy and found that 15 of the 62 candies were red. Using this information, determine the margin of error that would be used to construct a 95% confidence interval for the proportion of all candies that are red. Please give the answer in decimal form precise to three decimal places.

Answers

Answer 1

Answer:

Answer: E= 0.107

Step-by-step explanation:

Formula to find the margin of error : $E=z^*\sqrt{(p(1-p))/(n)}$

, where n= sample size .

p= sample proportion

z* = critical value.

Given : Sample size : n= 62

Number of red candies out of 62 = 15

Proportion of red candies = $p=(15)/(62)\approx0.242$

We know that , the critical value for 95% confidence = z*= 1.96 [Using z-table]

Then,

$E=(1.96)\sqrt{(0.242(1-0.242))/(62)}$

$E=(1.96)\sqrt{(0.242(0.758))/(62)}$

$E=(1.96)\sqrt{(0.183436)/(62)}$

$E=(1.96)√(0.00295864516129)$

$E=(1.96)(0.0543934293945)$

$E=0.106611121613\approx0.107$

Hence, the margin of error = E= 0.107

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Find the value of each trigonometric ratio.
A. 37/35
B. 12/37
C. 12/35
D. 37/12

Answers

Answer:

C. 12/35

Step-by-step explanation:

i just guess

Interpret the slope in terms of the situation. Does it make sense?Interpret the y-intercept in terms of the situation. Does it make sense?

Determine the equation of the line of best fit. Write your answer in slope-intercept form. Any non-integers in this problem should be entered as decimal numbers. Round to three decimal places when necessary.

Answers

a) Yes the slope makes sense, as the players foot length gets larger, their overall height also increases signifying that there is a correlation between foot size and height.

b) The y-intercept occurs when the line "intercepts" the y-axis. It also makes sense because a player that has 25 cm in distance from heel to toe may very likely be 1.55 meters in height. This is probable.

c) The equation of any line is:

y=mx+b (m= slope, b= y-intercept)

The slope of this line can be found by locating two points where the line intersects. I will use points (25.5,1.6) and (26.25,1.7).

The formula to find the slope is (y(2)-y(1)) / (x(2)-x(1)) = m

1.7 - 1.6 / 26.25 - 25.5 = .1/.75 = .13333

This line crosses the y-intercept at about 1.55m

The equation of this line is:

y = .1333 x + 1.55

Answer:

y = 0.133x - 1.791

Step-by-step explanation:

The points (27, 1.8) and (27.75, 1.9) lie on the line of best fit. Use these points to find the slope:

m = y2 - y1 1.9 - 1.8 0.1

------------- = ----------------- = -------- = 0.133

x2 - x1 27.75 - 27 0.75

Plug the value of the slope into the equation of the line y = mx +b to get .

y = 0.133x + b

Substitute the point (27, 1.8) into the equation and solve for b:

1.8 = 0.133(27) + b

b = -1.791

Plug the value of b into the equation of the line of best fit to get:

y = 0.133x - 1.791

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This answer came straight from the sample answer on Edmentum.com.

What are the coordinates of point b on ac such that ab=2/5ac

Answers

Answer:

$(-(36)/(7),(40)/(7))$

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = $(mx_2+nx_1)/(m+n)$

and y = $(my_2+ny_1)/(m+n)$

where $(x_1, y_1)$ and $(x_2,y_2)$ are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = $(2* 2+(-8)* 5)/(2+5)$

= $-(36)/(7)$

y = $(2* 5+5* 6)/(2+5)$

= $(40)/(7)$

Therefore, coordinates of pint B will be,

$(-(36)/(7),(40)/(7))$

Final answer:

The coordinates of B on segment AC such that AB=2/5AC are given by line segment division theorem as ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7), where A is (x1, y1) and C is (x2, y2).

Explanation:

The question is asking for the coordinates of point B on line segment AC such that the length of AB is 2/5 times the length of AC.

Since we don't have any specific coordinates for points A, B and C, we can't determine exact coordinates for point B. However, we can describe how to find B based on given points A and C.

If A and C have coordinates (x1, y1) and (x2, y2), respectively, then the coordinates of B can be found using the theorem of line segment division. This theorem says that the coordinates of the point dividing a line segment in the ratio m:n are given by:

((mx2 + nx1) / (m+n) , (my2 + ny1)/ (m+n))

Given the ratio is 2:5, m is 2 and n is 5, substitute the values into the formula:

((2x2 + 5x1) / (2+5) , (2y2 + 5y1)/ (2+5))

So, point B is at ((2x2 + 5x1) / 7 , (2y2 + 5y1)/ 7).

Learn more about Coordinates finder here:

brainly.com/question/35129460

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PLEASE ANSWER ASAP 100 POINTS!! WILL MARK BRAINLIEST!!! The kids in the neighborhood often play a variation of the game hopscotch. In one section of the park, there are triangles and rectangles painted on the ground. What is the height, h, of one blue triangle if the area of the triangle is 90 square inches? 5 in. 10 in. 20 in. 72 in.

Answers

Answer:

10 inches

Step-by-step explanation:

I just took this quiz and this is the correct answer

the answer is 10 inches

Melinda earns 5 minutes to play video games for every hour she spends on homework.If Melinda spends 3 hours on homework, how many minutes will she earn to play video games?

Answers

Answer:

She gets 15 minutes to play video games.

Step by step:

For every 1 hour = 5 minutes, so 1x3 = 3 hours, 5x3 = 15 minutes.

Find the length of the indicated segments of each trapezoid.

Answers

Answer:

BC = 16

EF = 23

AD = 30

Step-by-step explanation:

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