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3 years ago

Graph the equation. y = 4(x + 6)(x+4)

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer: thanks for posting an easy question that requires no skill or stress

Step-by-step explanation:

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a packe of cards conatins 4 red and 5 black cards. a hand of 5 cards is drawn without replacment. What is the proablity of all f

Vladimir79 [104]

Answer: Our required probability is 0.3387.

Step-by-step explanation:

Since we have given that

Number of red cards = 4

Number of black cards = 5

Number of cards drawn = 5

We need to find the probability of getting exactly three black cards.

Probability of getting a black card = $\dfrac{5}{9}$

Probability of getting a red card = $\dfrac{4}{9}$

So, using "Binomial distribution", let X be the number of black cards:

$P(X=3)=^5C_3(\dfrac{5}{9})^3(\dfrac{4}{9})^2\\\\P(X=3)=0.3387$

Hence, our required probability is 0.3387.

5 0

3 years ago

jayson used 0.5 cups of kernals to make 16 cups of popcorn how many cupes of popcore would he make if he used 0.75 cups of kerna

viva [34]

Answer:

24 cups of popcorn can be made from 0.75 cups of kernels.

Step-by-step explanation:

4 0

3 years ago

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Fruit juice makes up 2/3 of the liquid ingredients in Alonzo's punch recipe. Estimate how many gallons of fruit juice are needed

antiseptic1488 [7]

2 and 2/3 gallons of fruit juice is needed

6 0

3 years ago

Find the area of the right triangle △DEF with the points D (0, 0), E (1, 1), and F.

Tems11 [23]

Answer:

The area of the triangle is $\sqrt{3}$

Step-by-step explanation:

Given:

Coordinates D (0, 0), E (1, 1)

Angle ∠DEF = 60°

△DEF is a Right triangle

To Find:

The area of the triangle

Solution:

The area of the triangle is = $\frac{1}{2}(base \times height)$

Here the base is Distance between D and E

calculation the distance using the distance formula, we get

DE = $\sqrt{(0-1)^2 + (0-1)^2}$

DE = $\sqrt{(-1) ^2 + (-1)^2$

DE = $\sqrt{1+1}$

DE = $\sqrt{2}$

Base = $\sqrt{2}$

Height is DF

DF = $tan(60^{\circ}) \times DE$

DF = $\sqrt{3} \times DE$

DF = $\sqrt{3} \times\sqrt{2}$

Now, the area of the triangle is

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \times \sqrt{2})$

= $\frac{1}{2}({\sqrt{2})(\sqrt{3} \sqrt{2})$

= $\frac{1}{2}(2\sqrt{3} )$

= $\sqrt{3}$

6 0

3 years ago

If there is a 70% chance of rain tomorrow and a 50% chance of wind and rain,

enyata [817]

Answer:

71%

Step-by-step explanation:

Conditional Probability: <u>P(A and B)</u>

P(A)

P(A and B): 0.5

P(A): 0.7

=0.5/0.7

=0.71428... (x 100)

4 0

3 years ago

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