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Harlamova29_29 [7]
4 years ago
7

Simon used a probability simulator to roll a 12-sided number cube 100 times. His results are shown in the table below: Number on

the Cube Number of Times Rolled 1 18 2 5 3 16 4 12 5 10 6 5 7 8 8 14 9 2 10 5 11 2 12 3 Using Simon's simulation, what is the frequency of rolling a 3 on the number cube?
100/16

100/84

16/100

84/100
Mathematics
1 answer:
barxatty [35]4 years ago
7 0
The frequency for rolling a 3 would be 5 over 100
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What is the equation of the line? Write in standard form. (4,5).
dezoksy [38]

Answer:

\large\boxed{5x+4y=20}

Step-by-step explanation:

The equation of a line in slope-intercept form:

y=mx+b

m - slope

b - y-intercept → (0, b)

We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.

Therefore we have the equation:

y=mx+5

Put the coordinates of x-intercept to the equation:

0=4m+5          <em>subtract 4m from both sides</em>

-4m=5           <em>divide both sides by (-4)</em>

m=-\dfrac{5}{4}

Finally we have the equation of a line if slope-intercept form:

y=-\dfrac{5}{4}x+5

The standard form:

Ax+By=C

Convert:

y=-\dfrac{5}{4}x+5             <em>multiply both sides by 4</em>

4y=-5x+20               <em>add 5x to both sides</em>

5x+4y=20

4 0
3 years ago
Henri wants to triple his spaghetti sauce recipe that uses 1 pound 8 ounces of ground turkey. How many pounds of ground turkey w
alexandr1967 [171]

Answer:

1.5 pounds of ground turkey

Step-by-step explanation:

We know that there are 16 ounces in 1 pound, meaning that 8 ounces is half a pound.

Adding this to the 1 pound gives 1 + 1/2 = 1.5 pounds of ground turkey.

3 0
3 years ago
Find the value of yy in each equation. Explain how you determined the value of yy.
SOVA2 [1]

Answer:

a) 2

b) 5

c) -1

d) x

Step-by-step explanation:

We know the properties of log function as:

1) log(AB) = log(A) + log(B)

2) \log(\frac{A}{B}) = \log(A)+\log(B)

3) log(aᵇ) = b × log(a)

also,

4) \log_b(a)=\frac{\log(a)}{\log(b)}

Given:

a. y = log₂(2²)

thus, using 3

y = 2log₂(2)

or using 4

y = 2 × \frac{\log(2)}{\log(2)}

or

y = 2 × 1 = 2

b. y = log₂(2⁵)

thus, using 3

y =  5 × log₂(2)

or using 4

y = 5 × \frac{\log(2)}{\log(2)}

or

y = 5 × 1 = 5

c. y = log₂(2⁻¹)

thus, using 3

y =  -1 × log₂(2)

or using 4

y = -1 × \frac{\log(2)}{\log(2)}

or

y = -1 × 1 = -1

d. y = log₂(2ˣ)

thus, using 3

y =  x × log₂(2)

or using 4

y = x × \frac{\log(2)}{\log(2)}

or

y = x × 1 = x

4 0
4 years ago
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jonny [76]

Answer:I don't either

Step-by-step explanation:

4 0
3 years ago
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nignag [31]

Answer:

He will spend less than or equal to $9

Step-by-step explanation:

21 + c </= 30

c</= 9

6 0
3 years ago
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