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1 year ago

What is the mode of the following numbers? 1,2, 10, 6, 4, 4, 6, 3, 1, 4

Mathematics

2 answers:

marysya [2.9K]1 year ago

3 0

Answer:

The mode of the data set is 4.

Step-by-step explanation:

Hey there!
The mode of a data set is the most commonly occurring data value in that set.

To begin, we need to organize the data set in increasing order:

1, 1, 2, 3, 4, 4, 4, 6, 6, 10

Then, we can tally the frequency of each data value occurring in the data set:

1 - II

2 - I

3 - I

4 - III

6 - II

10 - I

We can see that there are three occurrences for the data value 4 — which is the most frequent occurrence — so 4 is our answer.

Learn more about mode here: brainly.com/question/11163338

Leni [432]1 year ago

3 0

Answer:

The mode is 4.

Step-by-step explanation:

The mode appears in the data set that appears most often.

$\sf{\begin{pmatrix}2&10&3&1&6&4\\ 1&1&1&2&2&3\end{pmatrix}}$

So, the correct answer is 4.

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Estimate the solution to the system of equations. asap, please!! I will mark for brain list

Darya [45]

Answer:

(1 $\frac{1}{3}$ , 2 $\frac{1}{3}$ )

Step-by-step explanation:

Given the 2 equations

7x - y = 7 → (1)

x + 2y = 6 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

14x - 2y = 14 → (3)

Add (2) and (3) term by term to eliminate y

15x = 20 ( divide both sides by 15 )

x = $\frac{20}{15}$ = $\frac{4}{3}$ = 1 $\frac{1}{3}$

Substitute this value of x into either of the 2 equations and solve for y

Substituting in (2)

$\frac{4}{3}$ + 2y = 6

2y = 6 - $\frac{4}{3}$ = $\frac{14}{3}$ ( divide both sides by 2 )

y = $\frac{7}{3}$ = 2 $\frac{1}{3}$

7 0

2 years ago

Write expression as a sine or cosine of an angle. cos 94° cos 18° + sin 94° sin 18°

MArishka [77]

<h3>Answer: cos(76)</h3>

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

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We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192
cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

6 0

1 year ago

Six less than 2 times “y” is 34 equation form

wel

2y-6=34 is the needed equation

8 0

2 years ago

Read 2 more answers

Find the probability on #4 Please

julia-pushkina [17]

The probability of drawing a 5 from card numbered 1 - 10 is 1/10 because only one card out of ten is numbered 5.
The probability of rolling a 2 on the cube is 1/6 because there are 6 faces of the cube with 6 different numbers. The probability of picking a 5 and rolling a 2 together is 1/60 because
1/10 x 1/6 = 1/60. You multiply them together because there will be 60 combinations: 10 card possibilities and 6 cube possibilities.
Hope this helps!

3 0

3 years ago

A boat is pulled toward a dock by means of a rope wound on a drum that is located 6 ft above the bow of the boat. If the rope is

Monica [59]

Answer:

Step-by-step explanation:

Given that:

The height of the dock (h) = 6

Let represent d to be the distance between the boat and the dock

Let the length of the rope between the boat and the drum be denoted by (l)

Then, the rate of change for the length of the rope be:

dl/dt = -5 ft/s