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Maurinko [17]
3 years ago
15

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of th

e total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.
Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

<u>Percent air is calculated as:</u>

  • Percent air = Current amount/Total amount *100

<u>Solve for total amount of air:</u>

  • Total amount  = Current amount / Percent air * 100

Substitute the values in hand to get the answer

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Evaluate to one decimal place
ANTONII [103]

Answer:

<u>The correct answer is C. 1.6</u>

Step-by-step explanation:

Let's recall that e or Euler's number is a mathematical constant that is the base of the natural logarithm, in other words, the unique number whose natural logarithm is equal to one. The value of e is approximately 2.71828.

Now, replacing e, we have:

2.71828∧(1/2) = √2.71828 = 1.6 (Rounding to one decimal place)

<u>The correct answer is C. 1.6</u>

3 0
3 years ago
In right triangle DEF, ∠E is a right angle, m∠D=26∘, and DF=4.5.
jok3333 [9.3K]

Answer:

The measurement of EF is 1.98 units

Step-by-step explanation:

In Δ DEF

∵ m∠E = 90°

∴ FD is the hypotenuse of the triangle

∵ m∠D = 26°

∵ EF is opposite to angle D

- We can use the sine ratio to find it

∵ sin D = \frac{EF}{FD} ⇒ (opposite side / hypotenuse)

∵ FD = 4.5 units

∴ sin(26) = \frac{EF}{4.5}

- Multiply both sides by 4.5

∴ 4.5 sin(26) = EF

∵ sin 26° ≈ 0.44

∴ 4.5(0.44) = EF

∴ 1.98 = EF

The measurement of EF is 1.98 units

3 0
3 years ago
6y - 5x = 5 and x= 2y + 7
jolli1 [7]
Y = -10 and x = -13 (substitute 2y + 7 for x)
5 0
3 years ago
A number has the same digit in its hundreds place and its hundredths place.
Yuki888 [10]

Answer:

One is 2 0's before the decimal point (100) and the other is 2 decimal places AFTER the decimal point (0.01)

Essentially, the question is asking us how many times do we multiply 0.01 to get 100? This will be how many times greater 100 is compared to 0.01

Lets move the decimal point  4 times to the right:

0.01

00.1

1.0

10.0

100.0

Step-by-step explanation:

7 0
3 years ago
A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standa
swat32
All our answers lie in the above statement.

Confidence Level:
The creator claims that 9 out 10 students will have the average score in the said range. Or in other words we can say that the creator is 90% confident about the result of the field test. So the confidence level is 90%. 

Margin of Error:
The average score lies within 4% of 70%. This means the margin of error is 4% i.e. the average scores can deviate from 70% by 4% .

Confidence Interval:
Lower Limit = 70% - 4% = 66%
Upper Limit = 70% + 4% = 74%

Interpretation:
The exam creator is 90% confident that the average scores of seniors will be between 66% and 74%. 
4 0
3 years ago
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