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nordsb [41]
3 years ago
9

A student draws three cards from a standard deck of cards. If the student replaces the card after each draw, what is the probabi

lity that none of the chosen cards were spades?
A. 3/4

B. 63/64

C. 27/64

D. 1/64

Please help I’ll give brainliest answer
Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
C
Because idk it just sounds right
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A museum has an aquarium in the shape of a right rectangular prism that is 6 1/4 feet long, 7 1/5 feet wide, and 4 1/2 feet high
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Answer:

Volume = 202.5 cubic feet

Step-by-step explanation:

Given that the aquarium is in the shape of a right rectangular prism in which

Length L = 6 1/4 feet

Width W = 7 1/5 feet

Height H = 4 1/2 feet

Volume = L × B × H

Volume = 25/4 × 36/5 × 9/2

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Volume = 202.5 cubic feet

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Please help!
crimeas [40]

Answer:

The zeros are:

x =4, x=2, x = 5

  • The function has three distinct real zeros.

Hence, option (B) is true.

Step-by-step explanation:

Given the expression

h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)

Let us determine the zeros of the function by putting h(x) = 0 and solving the expression

0=\left(x-4\right)^2\left(x^2-7x+10\right)

switch sides

\left(x-4\right)^2\left(x^2-7x+10\right)=0

as

x^2-7x+\:10=\left(x-2\right)\left(x-5\right)

so

\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0

Using the zero factor principle

  • \mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)

so

x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0

x =4, x=2, x = 5

Thus, the zeros are:

x =4, x=2, x = 5

It is clear that there are three zeros and all the zeros are distinct real numbers.

Therefore,

  • The function has three distinct real zeros.

Hence, option (B) is true.

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What are the rest of the answer choices?
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