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navik [9.2K]
3 years ago
6

Please answer.

Mathematics
1 answer:
Setler [38]3 years ago
4 0

Answer:

image isn't loading for me :((( can you try replying to me w the question

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#10-1 : What is the probability of randomly choosing a diamond card from a regular deck of 52 cards? What is the probability of
Alchen [17]

\huge{\boxed{\frac{1}{4}}}\ \ \huge{\boxed{\frac{1}{4}}}

There are 13 of each suit in a deck of 52 cards.

This means the probability of drawing a diamond card is \frac{13}{52}. You can divide the numerator and denominator each by 13 to simplify. \frac{13}{52} \div \frac{13}{13} = \boxed{\frac{1}{4}}

Since there are the same number of clubs as there are diamonds, the probabilities are the same.

3 0
3 years ago
Select ALL the correct answers.
swat32
5.2 x 10-2 and 5.2 x 10-1
7 0
3 years ago
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Solve the system of equations for 7x+2y=16 and -21x-6y=24
Georgia [21]
Simplifying
7x + 2y = 16

Solving
7x + 2y = 16

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.
7x + 2y + -2y = 16 + -2y

Combine like terms: 2y + -2y = 0
7x + 0 = 16 + -2y
7x = 16 + -2y

Divide each side by '7'.
x = 2.285714286 + -0.2857142857y

Simplifying
x = 2.285714286 + -0.2857142857y
6 0
3 years ago
When Daniel left his house in the morning, his cell phone battery was partially
Mila [183]

Answer:

24.75 percents

Step-by-step explanation:

6 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
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