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2 years ago

You roll a fair 6-sided die.What is P(not 5)?

Mathematics

1 answer:

VLD [36.1K]2 years ago

3 0

5/6 chance not to roll a 5 or 0.833333333

Step-by-step explanation:

a 6 sided die shows 5 once the chance to roll is is 1/6 the change not to roll it is 5/6

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What is the equation of the line that passes through the point (-1, -7) and has a<br> slope of 2?

slava [35]

Answer:

y=2x-5

Step-by-step explanation:

The slope-intercept form of an equation looks like y=mx+b. Where m is the slope and b is the y-intercept. The slope is already given to us, so m is 2.

To find b use the equation $b=y_1-m*x_1$ . So, to find the y-intercept use b=-7-(2*-1). This equals b=-5.

So, plug in the values to get the final equation y=2x-5.

7 0

1 year ago

Read 2 more answers

From the top of the Eiffel Tower, a jogger is spotted heading toward the tower. When at position A, the angle of depression of t

8090 [49]

325 meters if using full height of 324 meters for tower
277 meters if using observation platform height of 276 meters.
When the depression is 37 degrees, you can create a right triangle with the angles 90, 37, and 53 degrees. The distance from a point directly underneath the observer will be:
h/tan(37)
where
h = height of the observer.

And when the depression is 72 degrees, the distance will be:
h/tan(72)
So the distance between the two points will be the absolute value of:
h/tan(72) - h/tan(37)
=(tan(37)h)/tan(37)tan(72) - tan(72)h/(tan(37)tan(72))
=(tan(37)h - tan(72)h) /(tan(37)tan(72))
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(0.75355405 - 3.077683537)/(0.75355405 * 3.077683537)
=h(-2.324129487/2.319200894)
=h*-1.002125125

And since we're looking for absolute value
=h*1.002125125

As for the value of "h" to use, that's unspecified in the problem. If you take h
to be the height of the Eiffel Tower, then it's 324 meters. If you take h to be
the highest observation platform on the Eiffel Tower, then it's 276 meters. In
any case, simply multiply h by the value calculated above:
=h*1.002125125
=324*1.002125125
= 324.6885406 m

=h*1.002125125
=276*1.002125125
=276.5865346

6 0

2 years ago

Express the negations of each of these statements so that all negation symbols immediately precede predicates. a) ∀x∃y∀zT(x, y,

Gnesinka [82]

Answer:

a) ∀x∃y ¬∀zT(x, y, z)

∀x∃y ∃z ¬T(x, y, z)

b) ∀x¬[∃y (P(x, y) ∨ Q(x, y))]

∀x∀y ¬ [P(x, y) ∨ Q(x, y)]

∀x∀y [¬P(x, y) ^ ¬Q(x, y)]

c) ∀x ¬∃y (P(x, y) ^ ∃zR(x, y, z))

∀x ∀y ¬(P(x, y) ^ ∃zR(x, y, z))

∀x ∀y (¬P(x, y) v ¬∃zR(x, y, z))

∀x ∀y (¬P(x, y) v ∀z¬R(x, y, z))

d) ∀x¬∃y (P(x, y) → Q(x, y))

∀x∀y ¬(P(x, y) → Q(x, y))

∀x∀y (¬P(x, y) ^ Q(x, y))

3 0

2 years ago

Read 2 more answers

3. Is this an arithmetic or a geometric sequence? 5, 10, 15, 20, 25, ...

VikaD [51]

Answer:

arithmetric

Step-by-step explanation:

the difference is so simple

3 0

2 years ago

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from the equation 2x+9+3x+x=_x+_, use numbers 0-9 to find no solutions, one solution, or infinitely many solutions

Karolina [17]

2x + 9 + 3x + x =
6x + 9 =

when u use : 6x + 9 u will have infinite solutions
when u use 6x + 8 u will have no solutions
when u use 5x + 7 u will have 1 solution

8 0

3 years ago