MATHEMATICS COLLEGE

If your heart beats 65 times in one minute,How many times does it beat in one day?

Tips:
There are 60 minutes in one hour. There
Are 24 hours in a day

Answers

Answer 1

Answer:

Answer:

93,600 times

Step-by-step explanation:

Answer 2

Answer: 24x 60= 1445
in 1445 x 65 = 93,600
if your heart beats 65 times in 1445 minutes then it beats 93,600 in a day

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A right triangle has side 9 and hypotenuse 15. Use the Pythagorean Theorem to find the length of the third side.Provide your answer below:

Answers

Answer:

Step-by-step explanation:

Pythogorean Theorem:

a squared + b squared = c squared

9 squared or 81 + ? squared = 15 squared or 225

Inverse Pythagorean Theorem:

c squared - a squared = b squared

225 - 81 = 144

sqrt (144) = 12

12 = b

Hope this helps! Good luck!

Angela can swim 480 meters in 40 minutes. What units are used to determine Angela's rate?

Answers

Answer:

Meters Per Minute (12 meters per minute)

Step-by-step explanation:

480/40 = 12

A crate has the shape of a rectangular prism. The area of the base of the crate is 252 square inches. The length of the crate is 4 inches greater than the width. The height is 2 inches less than the width.What is the volume of the crate in cubic inches?

Answers

Answer:

3024 in^3

Step-by-step explanation:

let width=x

length=x+4

height=x-2

A=W×L

252=(x)(x+4)

252=x^2 +4x

0=x^2 +4x -252

use quadratic formula

x=14

W=14

L=18

H=12

V=W×L×H

V=(14)(18)(12)

V=3024 in^3

If A= pi/6 then what is B?

Answers

$\bf \textit{the graph starts at }0\textit{ and goes to }\pi \n\nA=(\pi )/(6)\textit{ now, B is away from }\pi \textit{ 1A}\n\n\textit{since A and B have a same y-value,}\n\textit{and the graph is symmetric, thus}\n\nB=\pi -(\pi )/(6)$

the other person is correct

An attendant at a car wash is paid according to the number of cars that pass through. Suppose that following payments are made with the following probabilities: Payment Probability $7 0.18 $9 0.08 $11 0.09 $13 0.16 $15 0.08 $17 0.41 Find the standard deviation of the attendant's earnings.

Answers

Answer:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= √(14.9516)= 3.867$

Step-by-step explanation:

For this case we have the following dataset given:

Payment $7 $9 $11 $13 $15 $17

Probability 0.18 0.08 0.09 0.16 0.08 0.41

For this case we can calculate the mean with this formula:

$E(X) = \sum_(i=1)^n X_i P(X_i)$

And replacing we got:

$E(X) = 7*0.18 +9*0.08 +11*0.09 +15*0.08 +17*0.41 =13.22$

And we can find the second moment with this formula:

$E(X^2) = \sum_(i=1)^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 7^2*0.18 +9^2*0.08 +11^2*0.09 +15^2*0.08 +17^2*0.41 =189.72$

And we can find the variance like this:

$Var(X) = E(X^2) -[E(X)]^2= 189.72- (13.22)^2 =14.9516$

And the deviation would be:

$Sd(X)= √(14.9516)= 3.867$

A national survey of 1516 respondents reached on land lines and cell phones found that the percentage of adults who favor legalized abortion has dropped from 55% a year ago to 45%. The study claimed that the erroratributable to sampling is 4 percentage points. Would you claim that a majority of people are not in favor of legalized abortion?

Answers

Answer:

The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Step-by-step explanation:

Confidence interval:

Sample proportion plus/minus margin of error.

In this question:

Sample proportion of 0.45, margin of error of 0.04. So

0.45 - 0.04 = 0.41

0.45 + 0.04 = 0.49

The confidence interval is of (0.41,0.49). The upper bound of the interval is below 0.5, which means that it can be claimed that a majority of people are not in favor of legalized abortion

Final answer:

Given the margin of error of 4 percentage points, we cannot definitively state that a majority are against legalized abortion, even though the survey shows a 45% favor rate. The true proportion could be anywhere from 41% to 49%.

Explanation:

The question relates to the interpretation of survey results and margin of error. The study indicates that 45% of the surveyed adults favor legalized abortion, down from 55%. However, the study also reveals a margin of error of 4 percentage points.

This implies that the true proportion of adults favoring legalized abortion could be anywhere from 41% (45% - 4%) to 49% (45% + 4%). So, we cannot definitively say that a majority of adults are opposed to legalized abortion, as the result could still be close to 50%, given the margin of error.