Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste?A. none of these
B. Let “1,2,3” represent preferring the toothpaste and “0,4,5,6,7,8,9” represent not recommending the toothpaste.
C. Let “1,2,3” represent preferring the toothpaste and “4,5,6,7,8,9” represent not recommending the toothpaste.
D. Let “0,1,2” represent preferring the toothpaste and “3,4,5,6,7,8” represent not recommending the toothpaste.
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Answers

Answer 1

Answer:

Let favorable event“1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

Three out of every ten dentists recommend a certain brand of fluoride toothpaste. Which assignment of random digits would be used to simulate the random sampling of dentists who prefer this fluoride toothpaste to determine.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

While going throughout the option in options C and D number so the sample is not equal to 10 so both the statement is false. Option B is the correct option because the sample space is also equal to 10 and the number of the favorable events is also 3 which is mentioned in the question.

Thus, let favorable event “1,2,3” represent preferring the toothpaste and sample space “0,4,5,6,7,8,9” represent not recommending the toothpaste. Option B is correct.

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Answer 2

Answer:

Answer:

Step-by-step explanation:

only b has 10 didgets. it could be a since the didgets aren't very random, but then again, i think it's b

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-1/2 + (3/4 x 4/9) =

Find the values of x and y in the following triangle

Answers

y is 88° and x is 42°
This is because a straight line is 180° so 180-92 is 88 which is Y
Once you have this, you add 50 and 88 to get 138 and a triangle is equal to 180° so 180-138 is 42
hope this helped :)

On a coordinate plane, a parabola opens up. It goes through (negative 2, 4), has a vertex at (0.25, negative 6), and goes through (2, 0).Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

The domain of the function is the set of all values x such that x is greater than or equal to one-quarter.
The range of the function is all real numbers.
The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.
The function is increasing over the interval (negative 6 and one-eighth, ∞).

Answers

The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

What is vertex of parabola?

The vertex of parabola is the point at the intersection of parabola and its line of symmetry.

Now the given function is,

f(x) = 2x^2 – x – 6

Also, it is given that the vertex is located at (0.25, -6) and the parabola opens up, the function has two x-intercepts.

Comparing the given function with standard form,

f(x) = a x^2 bx + c

By comprison we get,

a = 2

b = -1

c = -6

Now, x-coordinate of vertex is given as,

x = -b/2a

put the values we get,

x = -(-1)/2*2

or, x = 1/4

Put the value of x in given function, so y-coordinate of the vertex is given as,

f(1/4) = 2(1/4)² - 1/4 - 6

= -49/6

= -6 1/8

Hence, The statements true about the the function f(x) = 2x2 – x – 6 are-

The vertex of the function is (one-quarter, negative 6 and one-eighth).
The function has two x-intercepts.

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Answer:

The vertex of the function is (one-quarter, negative 6 and one-eighth).

The function has two x-intercepts.

Step-by-step explanation:

The answer above is correct.

Geometry, 1 question

Answers

It’s b trust me bro

The Jones family is landscaping their yard. Their yard is 160 square feet and one side is 10 feet long. What is the length of the other side of the yard? If they plant 3 bushes that need to be 3 feet apart and 3 feet away from the fence around the yard, will they have the space?