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arsen [322]
3 years ago
5

Think About the Process A student has a one-dollar bill, a five-dollar bill, and a ten-dollar bill in a

Mathematics
1 answer:
jeyben [28]3 years ago
4 0

The formula to calculate the experimental probability is "P(event) = Number of times event occurs/total number of trials"

The expiramental probability should be the fraction "21/47"

The theoretical probability should be the fraction "1/3" because the formula for theoretical probability is the number of favorable outcomes (5 dollar bill) over the total number of possible outcomes (10-dollar bill, one dollar bill, & 5 dollar bill). therefore, there is 1 favorable outcome, and 3 possible outcomes = 1/3.

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The value of y varies inversely with x. what is the value of k when y=12.7 and x=8?
NISA [10]

Answer:

ccccc

Step-by-step explanation:

5 0
3 years ago
Choose all the numbers that are factors of 16
madreJ [45]
2, 4, 8, and 1 i belive
7 0
3 years ago
The ratio of band students to choir students is 4:6. There are a total of 60 students in the band and choir. How many students a
xenn [34]

Answer:

24

Step-by-step explanation:

Given that:

The ratio of band students to choir students is 4 : 6.

Total number of students in the band and choir combined = 60

To find:

The number of students in the band = ?

Solution:

First of all, let us understand the meaning of the ratio given.

Ratio of 4 : 6 means there are 4 number of band students for every 6 number of choir students.

Also, number of band students will be in the multiples of 4 only and

number of choir students will be in the multiples of 6 only

Let the total number of band students = 4x

Let the total number of choir students = 6x

Total number of students = 60

As per question statement, we can write the following equation:

\Rightarrow 4x+6x=60\\\Rightarrow 10x = 60\\\Rightarrow x =6

Total number of band students = 4 \times 6 = <em>24</em>

5 0
3 years ago
Last week, Ms. Herald walked 1.6 miles for 3 nights last week. She walked an
ikadub [295]

Answer:

1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked

5 0
3 years ago
If <img src="https://tex.z-dn.net/?f=tan%20%28x%29%20%3D%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title="tan (x) = \frac{5}{12
Alekssandra [29.7K]

Explanation:

First, we need to find the values of the sine and cosine of x knowing the value of tan x and x being in the 3rd quadrant. Since tan x = 5/12, using Pythagorean theorem, we know that

\sin x = -\frac{5}{13}\;\;\text{and}\;\;\cos x = -\frac{12}{13}

Note that both sine and cosine are negative because x is in the 3rd quadrant.

Recall the addition identities listed below:

\sin(\alpha + \beta) = \sin\alpha\sin\beta + \cos\alpha\cos\beta

\Rightarrow \sin(180+x) = \sin180\sin x + \cos180\cos x

\;\;\;\;\;\;= -\sin x = \dfrac{5}{13}

\cos(\alpha - \beta) = \cos\alpha \cos\beta + \sin\alpha \sin\beta

\Rightarrow \cos(180 - x) = \cos180\cos x + \sin180\sin x

\;\;\;\;\;\;=-\cos x = \dfrac{12}{13}

\tan(\alpha - \beta) = \dfrac{\tan\alpha - \tan\beta}{1 + \tan\alpha\tan\beta}

\Rightarrow \tan(360 - x) = \dfrac{\tan 360 - \tan x}{1 + \tan 360 \tan x}

\;\;\;\;\;\;= -\tan x = -\dfrac{5}{12}

Therefore, the expression reduces to

\sin(180+x) + \tan(360-x) + \frac{1}{\cos(180-x)}

\;\;\;\;\;= \left(\dfrac{5}{13}\right) + \left(\dfrac{5}{12}\right) + \dfrac{1}{\left(\frac{12}{13}\right)}

\;\;\;\;\;= \dfrac{49}{26}

5 0
2 years ago
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