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mash [69]
4 years ago
6

The probability of rolling two dice and getting a sum of four is 3/36. If you roll the dice 180 times, how many times do you pre

dict the sum of four will occur? * 5 points 0 15 20 75
Mathematics
1 answer:
bonufazy [111]4 years ago
4 0

Answer:

15

Step-by-step explanation:

3/36*180= 15 times

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An escalator lifts people to the second floor of a building, 26 ft above the first floor. The escalator rises at a 30° angle. To
Luden [163]

The distance traveled to the top of the escalator to the bottom is 52 ft

Here, we want to calculate the distance a person on the escalator travel from the bottom to the top of the escalator

Firstly, we need a diagrammatic representation to understand this

We can form a right-angled triangle with the information given in the question.

The diagram is shown as below;

From the question, by simply calculating the hypotenuse of the right-angled triangle, we can get the distance traveled from the bottom of the escalator to the top

Let us call this distance d

We can now use the appropriate trigonometric ratio

The trigonometric ratio to use here is the sine since we have the opposite and we want to calculate the hypotenuse

Mathematically;

\begin{gathered} \sin \text{ 30 = }\frac{26}{d} \\  \\ d\text{ = }\frac{26}{\sin \text{ 30}} \\  \\ d\text{ = }\frac{26}{0.5} \\  \\ d\text{ = 52 ft} \end{gathered}

7 0
1 year ago
Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies
Sindrei [870]

Answer:

12 minutes.

Step-by-step explanation:

Marla uses two copiers to make copies of a one-page newsletter. *Copier R makes 60 copies per minute. *Copier T makes 40 copies per minute.

Since both copier start at the same time, let the number of minutes used by both copiers be represented by x

60 × x + 40 × x = 1200 copies

60x + 40x = 1200

100x = 1200

x = 1200/100

x = 12 minutes

Therefore, it will take 12 minutes l to make 1200 copies.

6 0
4 years ago
T is directly proportional to M.
zaharov [31]
By proportionality, for any number a, if T is multiplied by a then the same goes for M.

a) M has been multiplied by \dfrac{3}4 hence T=20\cdot\dfrac{3}4=5\cdot3=15

\boxed{T=15}

b) T has been divided by 2 hence M=\dfrac{4}2

\boxed{M=2}
6 0
4 years ago
Read 2 more answers
Zacharias is using the quadratic formula to solve the equation 0 = –2x2 + 5x – 3. He begins by substituting as shown.
eduard

Answer: C.

Step-by-step explanation:

The 2 in the numerator should be –2.

3 0
2 years ago
Read 2 more answers
Please I need help
lianna [129]

Answer:

7 cases were missed

Step-by-step explanation:

40+20 = 70

70 points missed means they missed 7 total classes

5 0
3 years ago
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