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2 years ago

The point A(4, 3) is reflected over the point (6, -2) and its image is point B. What

Mathematics

1 answer:

tino4ka555 [31]2 years ago

5 0

Answer:

(8, -7)

Note that B is the midpoint of the segment with endpoints A and the image of A.

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b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 15 students outside the gym

max2010maxim [7]

Answer:

The complete question is:

At a university, 13% of students smoke.

a) Calculate the expected number of smokers in a random sample of 100 students from this university:

b) The university gym opens at 9 am on Saturday mornings. One Saturday morning at 8:55 am there are 27 students outside the gym waiting for it to open. Should you use the same approach from part (a) to calculate the expected number of smokers among these 27 students?

Part a is easy, because is a random sample, we can expect that just 13% of these 100 students to be smokers, and 13% of 100 is 13, so we can expect 13 of those 100 students to be smokers.

b) This time we do not have a random sample, our sample is a sample of 15 students who go to the gym in the early morning, so our sample is biased. (And we do not know if this bias is related to smoking or not, and how that relationship is), so we can't use the same approach that we used in the previous part.

3 0

3 years ago

IL GIVE YOU BRAINLIST !! * have to get it right * An equation for the line graphed is

Otrada [13]

Answer:

y = 3/2x+3

Step-by-step explanation:

The y intercept is 3. That is where it crosses the y axis

The slope is

m= (y2-y1)/(x2-x1) and we have points(0,3) and (-2,0)

= (0-3)/(-2,0)

=-3/-2

=3/2

Using the slope intercept form of a line

y = mx +b where m is the slope and b is the y intercept

y = 3/2x+3

3 0

3 years ago

A b or c ? Help please will mark as brainlest

otez555 [7]

4,9 is the answer to this problem

4 0

3 years ago

Write a real world situation that can be modeled by the inequality<br>46h > 86 + 25h.

Mandarinka [93]

Let's say you're renting a boat

Let h = number of hours you rent the boat

if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars

Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.

8 0

3 years ago

Experts have predicted that approximately 1 in 12 tractor-trailer units will be involved in an accident this year. One reason fo

Yuliya22 [10]

Answer:

1. 564 tractor trailers

2. (0.2919, 0.4339)

3. It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

Step-by-step explanation:

Proportion= P = 0.8333333333333 (1/12)

Margin error= 0.06/2 = 0.03

Confidence level= 99

Significance level = α= (100 - 99)%= 1%= 0.01

α/2 = 0.01/2 = 0.0005

Sample size= n

= p(1 - p) (Z*/E)

=0.8333333333333 x (2.576/0.03)^2

=563.15

Approximately

=564

2) Sample size n= 124

Sample number of event x =45

Sample proportion = p= x/n

=45/124

= 0.3629

Standard error =√p(1 - p) /n

√(0.3629× (1 - 0.3629)/ 124

= 0.0432

Confidence level= 90

Significance level α= (100-90)% =0.01

Critical value Z* = 1.645

Margin of error = Z×Standard error= 1.645 × 0.0432= 0.07103

Lower limit = p- margin error= 0.3629 - 0.07103= 0.2919

Upper limit = p+margin error= 0.3629 + 0.07103= 0.4339

The answer is (0.2919, 0.4339)

3) It should be noted that there is 90% confidence that the true population proportion lies between 0.2919 and 0.4339.

5 0

4 years ago