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3 years ago

8

Q. A dice shows the numbers 1 through 12, with one number showing each time the die is rolled. What is the probability of rollin

g a 7?

1 answer:

vodka [1.7K]3 years ago

3 0

Answer:

1/12

Step-by-step explanation:

The total number is 12 (assuming the dice would be rolled 12 times) 7 is a number in the range and it will appear once in the 12 rolls because each number shows each time. 1 (how many times 7 will show)/ 12(total number of rolls)

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Log32- log 32-log 4. simplify

Rufina [12.5K]

Answer:

huh

Step-by-step explanation:

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.............

4 0

3 years ago

Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is <u>(0, -1.5)</u> which lies on the y axis(the point where the dotted line touches the y axis)

other point is <u>(2.5, 0)</u> and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

so

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

<h3>y > 0.6x - 1.5 </h3>

that is the last option

5 0

3 years ago

The student council wants to rent a ballroom for the junior prom. The ballroom's rental rate is $1500 for 3h and $125 for each a

Tems11 [23]

They can afford only 5 1/2 hours

3 0

4 years ago

For which value of theta is cot theta equal to cos theta?

Oksi-84 [34.3K]

Answer:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2

Step-by-step explanation:

For this case we want to solve the following equation:

$cot \theta = cos \theta$

And we know that by definition $cot \theta = \frac{cos \theta}{\sin \theta}$

And replacing we got:

$\frac{cos \theta}{sin \theta}= cos \theta$

If we multiply by cross we got:

$cos \theta = sin \theta cos \theta$

We can divide both sides of the last equation by $cos \theta$ and we got:

$sin \theta = 1$

And if we apply arcsin in both sides we got:

$\theta = arcsin (1) = \frac{\pi}{2}$

And the best solution would be:

C) pi/2

8 0

3 years ago

Jenna uses 18 inches of ribbion for each box she wraps how many yards of rib ion does she need to wrap 4 boxes

Sav [38]

Hello Myeisha91!

First we need to find how many inches in total to wrap 4 boxes. We do that by multiplying 18 x 4 = 72 so Jena needs 72 inches. The question wants to know how many yards so we need to convert 72 inches into yards. We can convert inches to yards by using a conversion factor. We know that 1 inch = 0.0277778 yd. Now that we know 1 inch = 0.0277778 yd, lets convert the 72 inches to yards.

We convert 72 in to yards by multiplying 72 in by $\frac{0.0277778\;yd}{1\; in}$
$72\;in\times\frac{0.0277778\; yd}{1\;in} = 2\; yd$
So Jenna will need 2 yards to wrap 4 boxes.

6 0

3 years ago