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Mekhanik [1.2K]
3 years ago
6

WILL GIVE BRAINLYEST

Mathematics
2 answers:
melisa1 [442]3 years ago
8 0

Answer:

B = \frac{4}{9}A

Step-by-step explanation:

Given that B varies directly as A then the equation relating them is

B = kA ← k is the constant of variation

To find k use the condition A = 90 and B = 40, then

k = \frac{B}{A} = \frac{40}{90} = \frac{4}{9}

B = \frac{4}{9}A ← equation of variation

Sunny_sXe [5.5K]3 years ago
3 0

How did you add the picture to the the page

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I will mark brainly, help me with this question please.​
Anna [14]

Step-by-step explanation:

Since x varies directly as \sqrt{y} we can write the relation as

x = k\sqrt{y}

where k is the constant of proportionality.

a) To solve for the k, we substitute the given values:

5 = k\sqrt{13} = k(13)

\Rightarrow k = \dfrac{5}{13}

b) The equation relation x and y can be written as

x = \dfrac{5}{13}\sqrt{y}

c) When y = 9,

x = \dfrac{5}{13}\sqrt{9} = \dfrac{5}{13}(3) = \dfrac{15}{13}

3 0
2 years ago
Instructions: Match each equations with correct type of event.
Mazyrski [523]

The question is incomplete. Below you will find the missing contents.

The correct match of events with order are,

  • P(A)P(B|A) - Dependent event
  • P(A)+P(B) - Mutually exclusive events
  • P(A and B)/P(A) - Conditional events
  • P(A) . P(B) - Independent Events
  • P(A)+P(B) -P(A and B) - not Mutually exclusive events.

When two events A and B are independent then,

P(A and B)=P(A).P(B)

when A and B are dependent events then,

P(A and B) = P(A) . P(B|A)

When two events A and B are mutually exclusive events then,

P(A and B)=0

So, P(A or B) = P(A) + P(B) - P(A and B) = P(A) + P(B)

P(A) + P(B) = P(A or B)

When events are not mutually exclusive then the general relation is,

P(A or B) = P(A) + P(B) - P(A and B)

If the probability of the event B conditioned by A is given by,

\mathrm{P(B|A)=\frac{P(A~and~B)}{P(A)}}

Hence the correct match are -

  • \mathrm{P(A)P(B|A)\rightarrow} Dependent event
  • \mathrm{P(A)+P(B)}\rightarrow Mutually exclusive events
  • \mathrm{\frac{P(A ~and ~B)}{P(A)}\rightarrow} Conditional events
  • \mathrm{P(A) . P(B)\rightarrow} Independent Events
  • \mathrm{P(A)+P(B) -P(A ~and ~B)\rightarrow} not Mutually exclusive events.

Learn more about Probability of Events here -

brainly.com/question/79654680

#SPJ10

5 0
2 years ago
A meteorologist reports that there is a 30% chance the temperature will fall below freezing tomorrow. On any given day, the bus
sladkih [1.3K]
<h3>Answer:  18%</h3>

===========================================================

Explanation:

Convert each percentage to decimal form

  • 30% converts to 0.30
  • 60% converts to 0.60

Then multiply the decimal values

0.30*0.60 = 0.18

That converts to 18%

So there's an 18% chance that both events happen at the same time. In other words, there's an 18% chance of the temperature falling below zero and the bus being late.

4 0
3 years ago
What is y=1/2x+4 in standard form?
zhuklara [117]
<h3>Answer:  x-2y = -8</h3>

===========================================

Explanation:

Multiply both sides by 2 to clear out the fraction

y = (1/2)x+4

2y = 2[ (1/2)x + 4 ]

2y = 2*(1/2)x + 2*4

2y = x + 8

Then move the x term over to the left side

2y = x+8

2y-x = 8

-x+2y = 8

Optionally we can multiply both sides by -1

-x+2y = 8

-1*(-x+2y) = -1*8

x-2y = -8

This is in standard form Ax+By = C with A = 1, B = -2, C = -8

The reason why I multiplied both sides by -1 was to make A > 0 which is what some textbooks use as convention. Of course -x+2y = 8 is equally valid too.

8 0
3 years ago
Jesse says that the expressions 762x + 9) and 14x + 9 are equivalent
Schach [20]

Answer:

Jesse is an idiot

Step-by-step explanation:

762x does not equal 14x

5 0
2 years ago
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