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kakasveta [241]
3 years ago
6

Please answer this question! 20 points and brainliest!

Mathematics
1 answer:
Svetllana [295]3 years ago
4 0

Answer:

Subtraction, addition, division

Step-by-step explanation:

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A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet
abruzzese [7]

Answer:

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume is approximately 46.90 minutes

Step-by-step explanation:

The given parameters are;

The diameter of  the balloon  = 55 feet

The rate of increase of the radius of the balloon when inflated = 1.5 feet per minute

We have;

dr/dt = 1.5 feet per minute = 1.5 ft/min

V = 4/3·π·r³

The maximum volume of the balloon = 4/3 × 3.14 × 55³ = 696556.67 ft³

When the volume is two-thirds the maximum volume, we have;

2/3 × 696556.67 ft³ = 464371.11 ft³

The value of the radius, r₂ at that point is found as follows;

4/3·π·r₂³ = 464371.11 ft³

r₂³ = 464371.11 ft³ × 3/4 = 348278.33 ft³

348278.333333

r₂ = ∛(348278.33 ft³) ≈ 70.36 ft

The time for the radius to increase to the above length = Length/(Rate of increase of length of the radius)

The time for the radius to increase to the above length ≈ 70.369 ft/(1.5 ft/min) ≈ 46.90 minutes

The time it would take to inflate the balloon to approximately two-thirds of its maximum volume ≈ 46.90 minutes.

4 0
3 years ago
Which of the following illustrates the truth value of the given conditional statement?
Blababa [14]

Answer:

  • <u><em>Option A. F  T  →  F</em></u>

Explanation:

A conditional is represented by:

  • p → q

Where p is called the antecedent, and q is the consequent.

Thus, a conditional states that if the antecedent is true, its consequent is also true; also, if the consequent is false, then the antecedent must be false.

On the other hand, if the antecedent is true, the consequent can be either true or false.

<u>1. State the antecedent of the conditional and is truth value</u>

  • Antecedent: 6 > 10
  • Truth value: False, because 6 is not greater than 10.

<u>2. State the consequent of the conditional and its truh value</u>

  • 8 • 3 = 24
  • Truth value: True, because 8 times 3 is 24.

<u>3. Truth value of the conditional</u>

Hence, the truth value of the conditional is:

  • False      Truth        →     Truth, or
  • F   T   →   T

Which is the option A.

6 0
2 years ago
Read 2 more answers
5 ( x + 10 ) = 30 solve for x
Vlada [557]

Answer:

x = -4

Step-by-step explanation:

Give Me brainllest

5 0
2 years ago
Read 2 more answers
Find the value of x.<br><br> RZ = 30<br> SW = 5x - 20
Murrr4er [49]
|RZ|=0.5|SW| therefore 2|RZ|=|SW|.

5x - 20 = 2 · 30

5x - 20 = 60    |add 20 to both sides

5x = 80    |divide both sides by 5

x = 16
5 0
3 years ago
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last
Georgia [21]

Answer:

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317; we can use this result to support her charge of gender discrimination.

Step-by-step explanation:

If we are assuming that the women and the men are equally qualified, then the probability for each employee that is hired the probability for it to be a women should be 1/2. Note that the fact that more men that women are hired in a sample might not be disctrimination: for example, if 2 men are hired out of 2 employees, that can happen with probability 1/4, so it is quite common. In order to support her charge for gender discrimination, we need at least a probability less that 0.05 that 5 (or less) women are hired out of 19 employees.

Since each configuration is equally probable, we will count the total amount of possible cases that 5 or less women are hired, and dividide it by the total amount of cases, 2¹⁹.

  • 0 women hired: one possible case: every employee is male
  • 1 women hired: 19 possible cases
  • 2 women hired: {19 \choose 2} = 171 possible cases
  • 3 women hired: {19 \choose 3}  = 969 possible cases
  • 4 women hired: {19 \choose 4} = 3876 possible cases
  • 5 women hired: {19 \choose 5} = 11628 possible cases

Thus, there are a total of 11628+3876+969+171 = 16644 possible cases out of 2¹⁹ ones. All of them with seemingly equal probability. As a consequence, the probability of 5 or less women to be hired out of 19 employees, assuming that the probability to hire 1 is 1/2, is

16644/2¹⁹ = 0.0317 < 0.05

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317. Since the probability is so low, we can conclude that for the employer, a woman equally qualified as a man is less likely to be hired, therefore, we can support her charge of gender discrimination.

6 0
2 years ago
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