Given the circle below find the area. Use 3.14 for pi.

Do you need to create an algebraic expression? In that case, the answer would be 6x.

Answer:

[tex](a)[/tex]

[tex]Maximum\ Error = 27[/tex]

[tex]Relative\ Error = 0.008[/tex]

[tex]Percentage\ Error = 0.8\%[/tex]

[tex](b)[/tex]

[tex]Maximum\ Error = 36[/tex]

[tex]Relative\ Error = 0.0267[/tex]

[tex]Percentage\ Error = 2.67\%[/tex]

Step-by-step explanation:

Given

[tex]x = 15[/tex] -- edge length

[tex]\triangle x = 0.2[/tex] -- possible error

Solving (a): Errors in volume

The volume of a cube is:

[tex]V(x) = x^3[/tex]

Differentiate

[tex]\frac{dV}{dx} = 3x^2[/tex]

Make dV the subject

[tex]dV =3x^2dx[/tex]

Rewrite as:

[tex]\triangle V = 3x^2 \triangle x[/tex]

Substitute values for x and [tex]\triangle x[/tex]

[tex]\triangle V = 3 * 15^2 * 0.2^2[/tex]

[tex]\triangle V = 27[/tex]

Hence:

[tex]Maximum\ Error = 27[/tex]

The relative error is then calculated as:

[tex]Relative\ Error = \frac{Maximum\ Error}{Volume}[/tex]

[tex]Relative\ Error = \frac{27}{x^3}[/tex]

[tex]Relative\ Error = \frac{27}{15^3}[/tex]

[tex]Relative\ Error = \frac{27}{3375}[/tex]

[tex]Relative\ Error = 0.008[/tex]

The percentage error is:

[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]

[tex]Percentage\ Error = 0.008 * 100\%[/tex]

[tex]Percentage\ Error = 0.8\%[/tex]

Solving (a): Errors in Surface Area

The volume of a cube is:

[tex]A(x) =6x^2[/tex]

Differentiate

[tex]\frac{dA}{dx} =12x[/tex]

Make dA the subject

[tex]dA = 12xdx[/tex]

Rewrite as:

[tex]\triangle A =12x\triangle x[/tex]

Substitute values for x and [tex]\triangle x[/tex]

[tex]\triangle A =12 *15 * 0.2[/tex]

[tex]\triangle A =36[/tex]

Hence:

[tex]Maximum\ Error = 36[/tex]

The relative error is then calculated as:

[tex]Relative\ Error = \frac{Maximum\ Error}{Surface\ Area}[/tex]

[tex]Relative\ Error = \frac{36}{6x^2}[/tex]

[tex]Relative\ Error = \frac{36}{6*15^2}[/tex]

[tex]Relative\ Error = \frac{36}{1350}[/tex]

[tex]Relative\ Error = 0.0267[/tex]

The percentage error is:

[tex]Percentage\ Error = Relative\ Error * 100\%[/tex]

[tex]Percentage\ Error = 0.0267* 100\%[/tex]

[tex]Percentage\ Error = 2.67\%[/tex]

well, to do this we first need to find the mean of all values.

we need to find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)

Then find the mean of those distances.

so, after we do all of that with the given numbers, our final result would be 2.333333333..... (It goes on) we round it up to 2.3, and viola! the answer is C.

Answer: the answer is c

Step-by-step explanation: i took the test

[tex]\huge\mathfrak\red{answer}[/tex]

Trust me, its C. Associative (Associative property of multiplication)

[mark me brainliest please :( i need 3 more]

The property illustrated by the statement (3 x 6) * 4 = 3 x (6 x 4) is the Associative Property. So, the correct option is C. Associative.

The Associative Property states that the grouping of numbers being multiplied does not affect the result. In this case, it means that when multiplying three numbers, the order in which we group them does not change the final product. We can either multiply (3 x 6) first and then multiply by 4, or multiply 3 by (6 x 4) first and achieve the same result.

Therefore, the correct option is C. Associative.

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Answer:

We will first find out average time of each student.

Student 1 = 60 / 12 = 5

Student 2 = 60 / 10 = 6

Student 3 = 60 / 8 = 7.5

Student 4 = 60 / 6 = 10

Student 5 = 60 / 4 = 15

Now we will take the arithmatic mean of all students average time.

A = (5+6+7.5+10+15)/5 = 43.5/5 = 8.7 minutes per problem

Step-by-step explanation:

no it doesn't equal

!

☺☺☺☺☺..........

Answer: The mean is the same as the average. In order to find the mean, or average score of the two tests, you need to take the sum of the two tests, and then divide by the number of tests, which is two.

We don't know the score of the second exam. Let it = x

Then we have the following equation:

(88 + x)/2 = 93

88 + x = 2 * 93

88 + x = 186

x = 186 - 88 = 98

You need to score a 98 on the second test

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Answer:

50

Step-by-step explanation:

.................................

formula is basexheight but it will need to be done in 2 separate figures so first

[tex]10 \times 12 \times 14 = 1680[/tex]

add that to

[tex]5 \times 12 \times 6 = 360[/tex]

equaling

hope this was helpful:)

Answer:

False

Step-by-step explanation:

Answer:

95% of all students at private universities pay less than $58,302.5.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $50,900, standard deviation of $4,500

This means that [tex]\mu = 50900, \sigma = 4500[/tex]

Ninety-five percent of all students at private universities pay less than what amount?

Pay less than the 95th percentile, and the amount is given by X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 50900}{4500}[/tex]

[tex]X - 50900 = 1.645*4500[/tex]

[tex]X = 58302.5[/tex]

95% of all students at private universities pay less than $58,302.5.

Answer:

60%

Step-by-step explanation:

Answer:

It would be A

I think I forgot I didn't this like 2 weeks ago

Answer:

anlamiyorum ne diyorsun

Answer:

1.5 thats the answer

Step-by-step explanation:

1.5

Answer:

17 x + 7 y = 20

y =20x - 42

17 x + 7(20x - 42) = 20

17x + 140x - 294 = 20

157 x = 20 + 294

157x ÷ 157 = 314 ÷ 157

x = 2

y = 20x - 42

y = 20 (2) - 42

y = 40 - 42

y = -2

there for x = 2 and y = -2 is the solution

Answer:

A≈494.13

R = 12.54

D = 25.08

Step-by-step explanation:

Here is all the answers.

PLZZZZ give me brainliest!!!

Answer:

Step-by-step explanation:

Remark

The rate is going to be the same as the distance travelled in 1 hour. The units will be different.

Formula

d = r * t

Givens

d = 558 miles

t = 3 hours

Problem A

r = d / t

r = 558/ 3 = 186 miles / hr

Problem B

Givens

r = 186 miles / hour

t = 1 hour

d = ?

Solution

d = 186 mi/hr * 1 hr

d = 186 miles

Note

This looks really trivial, but it's not. You have to learn to see the difference between a number and its units. It's not very often that the numbers will be the same, but if the units differ, then it is an entirely different question.

Answer:

-7/4

Step-by-step explanation:

Since the graph is moving down the slope has to be negative we need to write the answer in rise over run rise as in the y range and run as in x range

Hi there!

[tex]\large\boxed{8(5+3)}}[/tex]

The greatest common factor of 40 and 24 is 8.

8 goes into 40 5 times:

8 goes into 24 3 times.

We can rewrite this expression for distribution using the amount of times 8 goes into both numbers:

8(5 + 3)

Using this, we get:

8(5) + 8(3) = 40 + 24.

Answer:

a(t)=1350(1.9)t this is

Answer:

20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

Answer:

the probability the emergency cooling system will work when needed is 80.5%

Step-by-step explanation:

 Given the data in the question;

the probability that someone will actually push the emergency button in an emergency from 90% to 99% of the time

E[tex]_4[/tex] ⇒ Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 90% = 0.90

E[tex]_4[/tex] : Someone will actually push the emergency button in an emergency

P(E[tex]_4[/tex]) = 99% = 0.99

P(E) = P(E1) × P(E2) × P(E3) × P(E4) × P(E5)

we substitute

P(E) = 92% × 94% × 96%  99% × 98%  

P(E) = 0.8054

P(E) = 80.5%

Therefore, the probability the emergency cooling system will work when needed is 80.5%

Based on the amount that the annuity pays yearly and the annual interest rate, the value of the annuity today is $2,492.82.

First, find the value of the annuity at the fifth year which is a year before the first payment. This value can be found by the formula:
= Annuity * (1 - (1 + r)^-n) / r

= 650 x (1 - (1 + 13%)^-15) / 13%

= 650 x 6.462379

= $4,200.55

The value today can then be found by discounting at the rate of 11%:

= Future value / (1 + rate) ^ number of years

=4,200.55 / 1.11^5

= $2,492.82

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Answer:

0.25

Step-by-step explanation:

Answer:

i think the  answer is B

Step-by-step explanation:

formula is A^2+B^2=(A+B)(A-B)

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

so every one sweater costs 14 dollars

Answer:

616 cm²

Step-by-step explanation:

small cube (4 sides) = 8 x 3 x 4 = 96

large cube (4 sides) = 7 x 10 x 4 = 280

top and bottom of large cube = 12 x 10 x 2 = 240

(we would deduct the 3 x 3 area from  the top of the large cube and add a 3 x 3 area for the top of the small cube. So that cancels each other out.)

total surface area = 96 + 280 + 240 = 616 cm²