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My name is Ann [436]
3 years ago
6

Perimeter of a semi circle with diameter 30cm

Mathematics
1 answer:
Vsevolod [243]3 years ago
8 0

Answer:

77.12 cm to the nearest hundredth.

Step-by-step explanation:

The length of the curved part = 1/2 * 2 pi r

= 15 pi.

Total perimeter = 30 + 15pi

= 30 + 15*3.1416

= 77.124.

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AARP reported on a study conducted to learn how long it takes individuals to prepare their federal income tax return (AARP Bulle
Crank

Answer:

Confidence interval: (30.1,36.9)

Step-by-step explanation:

We are given the following data set:

35.3,30.5,37.4,26.5,13.0,49.9,28.8,44.0,61.6,0.5,40.5,34.9,47.9,36.6,24.1,39.8,47.8,18.5,36.6,39.2,14.5,37.3,40.5,49.3,45.5,28.3,19.5,5.6,52.6,41.4,45.3,39.0,33.7,29.4,14.5,40.1,33.7,36.9,5.6,33.7

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1339.9}{40} = 33.5

S.D = 11(given)

n = 40

Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

33.5 \pm 1.96(\frac{11}{\sqrt{40}} ) = 6.34 \pm 3.4 = (30.1,36.9)

6 0
3 years ago
Rasputen and his three buddies are splitting a giant 18 inch cookie. But notice 1/4 of it is missing. If each person gets the sa
frozen [14]

Answer:

Each of them will get 3.375 inches of cookie.

Step-by-step explanation:

Rasputen and his three buddies are splitting a giant 18 inches cookie.

But they notice that \frac{1}{4}th of it is missing.

So, the actual length of the cookie is 18[1-\frac{1}{4} ]=18 \times \frac{3}{4}=13.5 inches.

If all the four of them get the same amount of the giant cookie then each of them will get \frac{13.5}{4} = 3.375 inches of cookie. (Answer)

8 0
3 years ago
License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is
Helga [31]

Answer:

26^3\times10^2 = 1757600

option B is correct

Step-by-step explanation:

We have 5 spaces in the license plate:

_ _ _ _ _

we have 26 available letters, and 10 available numbers.

starting with letters:

  • how many choices do i have to place the 1st letter? 26.

26 _ _ _ _

  • how many choices do i have to place the 2nd letter? 26 (since we're allowed to repeat letters)

26 26 _ _ _

  • how many choices do i have to place the 3rd letter? 26

26 26 26 _ _

we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).

let's move on to numbers.

  • how many choices do i have to place the 1st number? 10

26 26 26 10 _

  • how many choices do i have to place the 2nd number? 10

26 26 26 10 10

we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.

26^3\times10^2 = 1757600

option B is correct

8 0
3 years ago
PLZZZZZZZZZ NEED HELP ASAP QUESTION WORTH 20 POINTS
andrezito [222]

Part A: After 9 days the radius of algae was approximately 12.81 mm. The reasonable domain to point is (0,9).

Part B: The 9 on the y-intercept represents the amount of algae the experiment started with.

Part C:  (12.81-10.12)/7=0.38

5 0
3 years ago
the probability of a particular digit is more than 8%. the graph represents the situation. which values are included in the solu
allsm [11]

Answer:

1 and 4

Step-by-step explanation:

ed 2020

4 0
3 years ago
Read 2 more answers
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