MATHEMATICS COLLEGE

A line segment has end points at (3, -5) and (4, 1) What is its length?a. 9 units
b. 6.9 units
c. 9.2 units
d. 5 units

need an explanation if possible please.

Answers

Answer 1
Answer:

Answer:

6.08units

Step-by-step explanation:

The distance between two points of a line is expressed as;

D = √(y2-y1)²+(x2-x1)²

Given the coordinates  (3, -5) and (4, 1);

D = √(1+5)²+(4-3)²

D = √(6)²+(1)²

D = √36+1

D = √37

D = 6.08 units

Hence its length is 6.08units

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The advertising department of a nationally circulated magazine wishes to estimate the mean age of.its subscribers to within 0.5 year with 90% confidence. if they estimate that the standard deviation of the ages of their subscribers is 5 years, find the required sample size.a. 165
b. 17
c. 271
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Answers

The correct answer is C) 271.

We first find the z-score associated with this confidence interval:
Convert 90% to a decimal:  90/100 = 0.9
Subtract from 1: 1 - 0.9 = 0.1
Divide by 2:  0.1/2 = 0.05
Subtract from 1:  1 - 0.05 = 0.95

Looking this value up in a z-table, we see that this number is the same distance from 1.64 and 1.65; therefore we will use 1.645.

Now we will use the following formula to calculate the sample size required:
n=((z_(\alpha/2)*\sigma)/(E))^2\n\n=((1.645*5)/(0.5))^2=270.6\approx 271

In a relay race, Jill runs 250 meters in 1.5 minutes. She hands the baton to John, who walks for 3 minutes at a rate of 70 meters per minute. Finally, Suzy sprints the last 100 meters in 15 seconds. What distance is traveled in this relay

Answers

9514 1404 393

Answer:

  560 m

Step-by-step explanation:

Jill's distance is given as 250 m.

John's distance can be computed as ...

  distance = speed × time = (70 m/min)(3 min) = 210 m

Suzy's distance is given as 100 m.

Then the total distance is ...

  250 m + 210 m + 100 m = 560 m

The distance traveled is 560 m in this relay.

Roy is 11 years old and his uncle is 59 years old. How many years ago was Roy’s uncle 7 times as old as Roy?

Answers

Answer:

answer : 3 years ago

Step-by-step explanation:

Let x years ago.

59−x=7(11−x)

59−x=77−7x

6x=18

x=3

=3 years ago

miguels physical eduction class lasts for 3/4 of an hour. today they spent 3/4 of that time playing dodge ball. what fraction of an hour did he spend playing dodge ball?

Answers

the answer is 9/16

there are two ways you can get this
take 3/4 times 3/4 to get 9/16
or
3/4 of an hour = 45 min and 3/4 of 45 min = 33.75 min and 33.75/60(minutes in an hour) = 9/16
3/4 of 60 minutes is 45 minutes. Then if they played dodge ball 3/4 (75%) of that time the answer is: 3/4 (75%) of 45 minutes = 33.75 minutes. Then 33.75 minutes divided by 60 minutes = 0.5625 (56.25%) of 60 minutes playing dodge ball. Liv219 has already given you the answer in fraction form.

A birthday cake was cut into equal pieces, and 10 pieces were eaten. Thefraction below shows how much cake was left over. According to the fraction,
into how many pieces was the cake cut?
1
11
A. 1
B. 10
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O D. 11
TO

Answers

The answer is D, 11.

Which graph represents the solution set of the compound inequality -4 s 3x-1 and 2x+4 518?-10
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10
+
-10
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Answers

The compound inequality in x : -1 ≤ x ≤ 7

The correct graph is A .

Given, inequality: -4 ≤ 3x -1 and 2x + 4 ≤ 18 .

First inequality:

-4 ≤ 3x -1

Take -2 from RHS to LHS .

-4 + 1 ≤ 3x

-3 ≤ 3x

x ≥ -1

X will have values greater than equal to -1 .

Second inequality:

2x + 4 ≤ 18

take 4 from LHS to RHS.

2x ≤ 18 - 4

2x ≤ 14

x ≤ 7

x will have values less than equals to 7.

Combined result of both inequalities: -1 ≤ x ≤ 7 .Thus graph A is correct.

Know more about inequality,

brainly.com/question/28823603

#SPJ3

Answer:

it's the first one where X is greater or equals to -1 and X is less or equals to positive 7
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