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3 years ago

Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36

Mathematics

1 answer:

Olin [163]3 years ago

5 0

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

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Write and solve a word problem that matches the diagram shown

lapo4ka [179]

Please include the diagram

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3 years ago

2r2 + 3s3 − r2 + 4t2 − r2 if r = −2, s = −3, and t = 5.

Elza [17]

First, simplify the expression $2r^2 + 3s^3 - r^2 + 4t^2 - r^2.$ Here you have three terms with $r^2,$ group them in the following way:

$2r^2 + 3s^3 - r^2 + 4t^2 - r^2=2r^2-r^2-r^2+3s^3+4t^2=(2r^2-r^2-r^2)+3s^3+4t^2=$

$=r^2(2-1-1)+3s^3+4t^2=3s^3+4t^2.$

Then substitute s=-3 and t=5:

$3s^3+4t^2=3\cdot (-3)^3+4\cdot 5^2=3\cdot (-27)+4\cdot 25=-81+100=19.$

Answer: 19.

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3 years ago

Read 2 more answers

~Draw a diagram of this statement.

TiliK225 [7]

(A) The print area is 4/10 × 100% = 40% of the total, so the ad area is ...

... 100% - 40% = 60% of the print area

(B) News : Ads = (40%) : (60%) = 2 : 3

6 0

3 years ago

What is the length of the diagonal, d, of the rectangular prism shown below?

vodomira [7]

Answer:

<h2>The diagonal of the volumetric figure is 7 units long.</h2>

Step-by-step explanation:

The figure is attached.

Notice that the dimensions of the prism are

$w=2\\l=3\\h=6$

First, we need to find the diagonal of the rectangular face on the base, this diagonal of the base is part of the right triangle formed by the diagonal of the volume, that's why we need it.

Let's use the Pythagorean's Theorem

$d_{base}=\sqrt{2^{2} +3^{2} }=\sqrt{4+9}=\sqrt{13}$

This diagonal of the base is a leg in the right triangle formed by the diagonal of the volume.

Let's use again Pythagorean's Theorem

$d_{volume}=\sqrt{(\sqrt{13} )^{2} +(6)^{2} } =\sqrt{13+36}=\sqrt{49}\\ d_{volume}=7 \ units$

Therefore, the diagonal of the volumetric figure is 7 units long.

8 0

3 years ago

Find the value of each expression using the given information cot∅=8, csc<0<br> find sin ∅

Oksana_A [137]

9514 1404 393

Answer:

sin(∅) = -√65/65

Step-by-step explanation:

The identities that relate the cotangent, the cosecant, and the sine are ...

csc² = 1 +cot²

sin = 1/csc

_____

For the given values, we find ...

csc(∅)² = 1 +cot(∅)² = 1 +8² = 65

csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign

sin(∅) = -1/√65 = (-√65)/65

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3 years ago