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neonofarm [45]
3 years ago
14

There are many penguins on a hill. 53 penguins waddled off the hill. Now 21 penguins remain on the hill. How many penguins were

on the hill to start?
74 penguins

72 penguins

32 penguins

34 penguins
Mathematics
2 answers:
qaws [65]3 years ago
8 0

Answer:

74 Penguins

Step-by-step explanation:

1. 53+21

2. =74

Penguins are my favorite animal. What's yours?

Maurinko [17]3 years ago
7 0
There were 74 penguins to start
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A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were
Feliz [49]

Answer:

e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

In this question:

99% confidence interval for the difference  in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)

The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.

5 0
3 years ago
Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −3 and a local minimum value of 0 a
Ahat [919]

Answer:

f(x) = (3x³ + 9x² - 27x + 15)/32

Step-by-step explanation:

f'(x) = 3ax² + 2bx + c

Maximum or minimum: f'(x) = 0

Maximum: f'(-3) = 0 and f(-3) = 3

Minimum: f'(1) = 0 and f(1) = 0

f'(-3) = 0 leads 27a - 6b + c = 0       (1)

f'(1) = 0 leads 3a + 2b + c = 0           (2)

f(-3) = 3 leads -27a + 9b -3c + d = 3    (3)

f(1) = 0 leads a + b + c + d = 0        (4)

(1) - (2):   24a - 8b = 0, or 3a - b = 0, b = 3a

(3) - (4)   -28a + 8b - 4c = 3    (5)

(1) * 4 + (5):  80a - 16b = 3,

use b = 3a, get 80a - 16*3a = 3, 32a = 3, a = 3/32, b = 3a = 9/32

From (2): c = -3a - 2b = -9/32 - 18/32 = -27/32

From (4): d = -a - b - c = -3/32 - 9/32 + 27/32 = 15/32

So

f(x) = (3x³ + 9x² - 27x + 15)/32

3 0
2 years ago
The quotient of a number and 2 is larger than 3
Lostsunrise [7]
There are many for this ,but one sample is: 2 divided by 2is 4 X 3 which is 12.
8 0
2 years ago
A jar contains n nickels and d dimes. There is a total of 253 coins in the jar. The value of the coins is $15.95. How many nicke
defon

There are 187 nickels and 66 dimes in the jar.

Step-by-step explanation:

Given,

Total coins = 253

Value of coins = $15.95 = 15.95*100 = 1595 cents

Value of each nickel = 5 cents

Value of each dime = 10 cents

According to given statement;

x+y=253     Eqn 1

5x+10y=1595     Eqn 2

Multiplying Eqn 1 by 5

5(x+y=253)\\5x+5y=1265\ \ \ Eqn\ 3

Subtracting Eqn 3 from Eqn 2

(5x+10y)-(5x+5y)=1595-1265\\5x+10y-5x-5y=330\\5y=330

Dividing both sides by 5

\frac{5y}{5}=\frac{330}{5}\\y=66

Putting y=66 in Eqn 1

x+66=253\\x=253-66\\x=187

There are 187 nickels and 66 dimes in the jar.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/12905000
  • brainly.com/question/12918501

#LearnwithBrainly

5 0
3 years ago
Write the definition of a function printarray, which has two parameters . the first parameter is an array of integers and the se
Lady bird [3.3K]
Using pseudocode:

printArray(arr[], integers)
      DECLARE integers
      integers = SizeOf(arr)
      FOR i = 1 to integers // loop from 1 to the number of elements in arr[]
            print(i)
            print('')
            i = i + 1
      ENDFOR
END
7 0
3 years ago
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