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Flauer [41]
3 years ago
10

Carmela randomly selected 65 stamps from a stamp collection. Eleven of these were commemorative stamps. What is the interval est

imate for the proportion of commemorative stamps in the entire collection if the sampling method had a margin of error of ±0.025?
Mathematics
1 answer:
Olenka [21]3 years ago
3 0
Since there is no mean, we need to first get the probability:
p = 11/ 65 = 0.1692
This will make it easier to compute for the interval estimate. Interval Estimate = probability ± margin of error
upper limit = 0.1692 + 0.025 = 0.1942

lower limit = 0.1692 - 0.025 = 0.1442
So the interval estimate is 0.1442 < x < 0.1942
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Two less than the sum of a number and six is equal to the product of
stiks02 [169]

Let's use the variable, x, to represent the unknown number.

We can represent the words, "the sum of a number and six, as : x + 6

The words, " 2 less than the sum", can be represented as: x + 6 - 2

The words, "the product of the number and three", can be written as: 3x

Now create an equation using "is equal to" to join the expressions:

x + 6 -2 = 3x

Now combine like terms and use inverse operations to solve for x:

x + 6 -2 = 3x

x + 4 = 3x

x + 4 - x = 3x - x

4 = 2x

4/2 = 2x/2

2 = x

The unknown number is 2

8 0
3 years ago
a rectangle has a perimeter of 76 cm. Its length is 5 more that twice its width. The system of equation below can be use to fine
Juliette [100K]

Answer:

l=27cm and w=11cm

Step-by-step explanation:

the perimeter of a rectangle is given by the following equation:

p=2(l+w)=2l+2w

if a rectangle has a perimeter of 76cm and its length  is 5 plus the double of its width we can use a system of equations to find the length l, and the width w.

For the perimeter of the rectangle

2l+2w=76 where l is its length, and  w is its width, 76 is the perimeter of the rectangle in cm.

We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

l=5+2w

Substituting the equation above in 2l+2w=76

2(5+2w)+2w=76\\10+4w+2w=76\\6w=76-10\\w=66/6\\w=11

We got that the rectangle width is w=11cm

Substituting w in the equation 2l+2w=76

2l+2(11)=76\\2l+22=76\\l=(76-22)/2=54/2\\l=27

We got that the rectangle length is l=27cm

Verifying the values ​​obtained

2l+2w=76 with l=27 and w=11

2(27)+2(11)=76

54+22=76

Satisfying the equation

5 0
3 years ago
BEGETA777777777777777777777777777777777777777777
notka56 [123]

Answer:

yes

Step-by-step explanation:

3 0
3 years ago
Please answer ASAP I will mark you BRAINLYIEST
loris [4]
No, there are the same y values. View the y value, 1.

Good luck!
6 0
3 years ago
Whats is the difference between complementary angles &amp; supplementary angles. some things to include in your answer: what is
guajiro [1.7K]
Complementary angles:
The sum of two complementary angles is 90.
When two complementary angles are adjacent, a right angle is formed.

Supplementary angles:
The sum of two supplementary angles is 180.
When two supplementary angles are adjacent, a straight angle is formed.
5 0
3 years ago
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