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Sauron [17]
3 years ago
14

Does anyone know what the inequality would be?

Mathematics
1 answer:
dsp733 years ago
8 0

Let x = number of batches.

So for every batch, you need 2 cups of flour, and you have 20 cups of flour. You cannot make a batch if you don't have the sufficient amount. So using our information, our inequality is 2x \leq 20 . However, this can be further simplified.

For this inequality, divide both sides by 2, and <u>your inequality is x\leq 10.</u> <u>In context, you can make up to 10 batches of cookies.</u>

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How do i solve v=pi/3*r (squared)h for h
Colt1911 [192]
V=\dfrac{\pi}{3}\cdot r^2h\ \ \ \ \ |multiply\ both\ sides\ by\ 3\\\\\pi r^2h=3V\ \ \ \ |\divide\ both\ sides\ by\ \pi r^2\\\\\boxed{h=\dfrac{3V}{\pi r^2}}
3 0
3 years ago
This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,
Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem:

  • Event A: Person has the flu.
  • Event B: Person got the flu shot.

The percentages associated with getting the flu are:

  • 20% of 30%(got the shot).
  • 65% of 70%(did not get the shot).

Hence:

P(A) = 0.2(0.3) + 0.65(0.7) = 0.515

The probability of both having the flu and getting the shot is:

P(A \cap B) = 0.2(0.3) = 0.06

Hence, the conditional probability is:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0
2 years ago
The figure shows triangle ABC with medians AF, BD, and CE. Segment AF is extended to H in such a way that segment GH is congruen
attashe74 [19]

Answer: Segment GD is parallel to segment HC.

Step-by-step explanation:

In ΔAHC

AG=GH (given)...........1

As BD is the median of ΔABC bisecting AC at D

∴AD=DC.........2

⇒\frac{AD}{DC}=\frac{AG}{GH}=1(from 1 and 2)

⇒segment GD is dividing the sides AH and AC  in same ratio.

Therefore by the converse of Basic proportionality theorem,segment GD is parallel to segment HC.

Converse of basic probability theorem states that if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

5 0
3 years ago
Read 2 more answers
Answer choices are <br> A)50<br> B)55<br> C)100<br> D)110
Olegator [25]
Answer: 50 degrees

You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
7 0
4 years ago
Simplify the product using distributive property (2x-5)(x+3) show work
coldgirl [10]
Use the FOIL method
First, Outside, Inside, Last
(2x -5)(x + 3)

2x(x) = 2x²
2x(3) = 6x
-5(x) = -5x
-5(3) = -15

2x² + 6x - 5x - 15

simplify

2x² + 6x - 5x - 15

2x² + x - 15


2x² + x - 15 is your answer

hope this helps
4 0
3 years ago
Read 2 more answers
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