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mars1129 [50]
2 years ago
8

The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate

the maximum error in the calculated area of the disk. (Round your answer to two decimal places.) cm2 (b) What is the relative error
Mathematics
1 answer:
hoa [83]2 years ago
3 0

Answer:

9.60πcm²

Step-by-step explanation:

Area of circular disk, A = πr²

Differntiate A with respect to r

dA/dr = π * (2r^(2-1)) /(2-1) + C

dA/dr = π * 2r/1

dA/dr = 2πr

dA = 2πr * dr

dA = 2πrdr

dA = maximum error ; dr= Error in measurement = 0.2 cm ; r = radius = 24cm

dA = 2π * 24 * 0.2

dA = 9.60πcm²

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5/3 rewrite fraction with a denominator of 12​
abruzzese [7]

Answer: 20/12

Step-by-step explanation: In order to get a 12 in the denominator

of 5/3, we multiply top and bottom of 5/3 by 4 to get 20/12.

So 20/12 is an equivalent fraction.

6 0
2 years ago
There were 27 bales of hay in the barn. Grant stacked some more bales in the barn.Now there are 76 bales. Let b be the number of
lutik1710 [3]

Answer:

b=49

Step-by-step explanation:

27+b=76

76-27= 49

b=49

4 0
2 years ago
Marjorie is playing a new board game the rule state that when a player's piece lands on a red square the player must pay a penal
alexdok [17]

Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.

---------------------

  • When the piece lands on the red square, the penalty is equal to <u>30 times the sum they roll on two numbers.</u>
  • Marjorie rolls 4 and 2, thus, the sum is 6.
  • The penalty is of 6 \times 30 = 180
  • She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.

A similar problem is given at brainly.com/question/12166019

6 0
2 years ago
A grocery​ store's receipts show that sunday customer purchases have a skewed distribution with a mean of ​$3030 and a standard
leva [86]

A. we use the z statistic to solve this problem

z = (x – u) / s

We calculate the value of the sample mean u and standard deviation s:

u = $30 * 304 = $9120

s = $21 * 304 = $6384

 

z = (9,600 – 9120) / 6384

z = 0.075

 

From the normal tables using right tailed test,

P = 0.47

 

B. At worst 11% means P = 0.11, so the z value at this is z = -1.23

-1.23 = (x – 9120) / 6384

x = 1267.68

4 0
3 years ago
Tom has a recipe for punch that calls for 1/2 gallon of fruit drink, how much fruit drink will tom need to make 5/2 batches of t
Hunter-Best [27]

Answer:

Tom will need \dfrac{5}{4} gallons of fruit drink.

Step-by-step explanation:

Hint- This question can be solved by unitary method.

Tom has a recipe for punch that calls for \dfrac{1}{2} gallon of fruit drink.

i.e for 1 batch of the punch Tom needs \dfrac{1}{2} gallon of fruit drink.

For \dfrac{5}{2} batch of the punch Tom needs \dfrac{1}{2}\times \dfrac{5}{2}=\dfrac{5}{4} gallons of fruit drink.

Therefore, Tom will need \dfrac{5}{4} gallons of fruit drink.

4 0
3 years ago
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