Mathematics College

What is the mode of the data set?
78, 82, 91, 78, 92, 77, 80, 74, 81

Answers

Answer 1
Answer:

The mode is 78

Step-by-step explanation:

Mode: The digit that has been repeated the most in a specific data.

To determine the mode of the data, let's arrange the data in ascending order.

Arranging the data in ascending form, we get:

⇒ 74, 77, 78, 78, 80, 81, 82, 91, 92

In the ascending data, we can see that: (Refer to underlined and bolded text)

74 has been repeated once77 has been repeated once78 has been repeated twice80 has been repeated once81, has been repeated once82 has been repeated once91 has been repeated once92 has been repeated once

Since 78 has been repeated the most, 78 is the mode of the data.

Related Questions

Lin's grandmother ordered needles that were 0.3125 inches. The pharmacist sent her 0.6875 inches needles. How longer were these needles than the ones she ordered?

Answers

Answer:

0.375

Step-by-step explanation:

0.6875-0.3125 = 0.375

HELP
Which speed is equivalent to 1/2 mile per hour?

Answers

the answer is b (brainly is omd)

(a) Write down the angle between the vector i + j and the vector i- j.
(6) Calculate the angle between the vector 2i + 5j and the vector 4i.
(2)
(c) Two forces, A = (14i +2j) N and B = (2i - 6j) N, act on a ball.
Show that the magnitude of A is Root k times larger than the magnitude of B, where k is
an integer
(3)

Answers

(a) Let θ be the angle between i + j and i - j. Then
(i + j) • (i - j) = ||i + j|| ||i -j|| cos(θ)
We also recall that for any vector x,
||x||² = x • x
We have
(i + j) • (i - j) = (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= (i • i) + (j • i) + (i • (-j)) + (j • (-j))
= ||i||² + (i • j) - (i • j) - ||j||²
= 1 + 0 - 1
= 0
and
||i + j|| = √(1² + 1²) = √2
||i - j|| = √(1² + (-1)²) = √2
So,
0 = 2 cos(θ)
cos(θ) = 0
θ = arccos(0) = 180°

(b) By the same process, we find
(2i + 5j) • 4i = 8
||2i + 5j|| = √(2² + 5²) = √29
||4i|| = 4
Then if θ is the angle between 2i + 5j and 4i, we have
8 = 4√29 cos(θ)
cos(θ) = 2/√29
θ = arccos(2/√29) ≈ 68.1986°

(c) Compute the magnitudes:
||A|| = √(14² + 2²) = √200 = 10√2
||B|| = √(2² + (-6)²) = √40 = 2√10
Now we can write
||B|| = 2√10 = 2 √(5 × 2) = 2√5 × √2 = 1/√5 × 10 √2 = 1/√5 ||A||
or
||A|| = √5 ||B||
so that k = 5.

(12 points) Let X = (1,2,3,4,5).
(a) Find the number of sequences of length 7 over X.
(b) A palindrome of length kis a sequence aja2 ... 0 such that alk-1...0,01 = 0102 ...k-101ka Find the number of palindromes of length 7 over X.
(c) How many three digit odd positive integers with distinct digits can you write using only the numbers in X?​

Answers

The answer is C

If I am wrong, please come after me, I am not perfect

How did the structure of the Han dynasty reflect Confucianism? Increasing rebellions represented the emphasis on warfare. Crowning a new emperor reflected the importance of loyalty. The multiple levels of bureaucracy reflected the belief in social order. The need for new leaders highlighted the importance of self-promotion.

Answers

Answer:

the multiple levels of bureaucracy reflected the belief in social order

Step-by-step explanation:

evelyn invests $3200.00 in an account for 9 months at a 5% annual interest rate, what is evelyns total amount in her account at the end of the term?

Answers

Answer:

3320

Step-by-step explanation:

So, 9 months is 9/12 of a year which is 3/4.

Each month they get 5/12% of their total money, so 9x5/12=3.75%.

3320

A system of equations is shown below.
Equation A: 4x - y = -5
Equation B: x + 2y = 1
Which method eliminates one of the variables?
1.
Multiply equation A by 2 and add the result to equation B.
2.
Multiply equation B by 4 and add the result to equation A.
3.
Multiply equation A by 2 and equation B by 4, and add the results toge
4.
Multiply equation B by 2 and equation A by 4, and add the results toge

Answers

Answer:

this one has to be answer 1

Step-by-step explanation:

4x - y = -5

x + 2y =1

8x - 2y = -10

x + 2y = 1

9x = -9

find the equation of line that passes through the point (4,-5) and the slope 5/4

Answers

Answer:

[tex]\boxed{\sf{y=\dfrac{5}{4}x-10 }}[/tex]

Step-by-step explanation:

To find the equation of line, you have to use a slope and slope-intercept formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

Slope-intercept formula:

[tex]\Longrightarrow:\sf{y=mx+b}[/tex]

M represents the slope.B represents the y-intercept.

So, the slope is 5/4.The y-intercept is -10.

Rewrite the problem down.

y=5/4x-10

So, the correct answer is y=5/4x-10.

I hope this helps you! Let me know if my answer is wrong or not.

Find the equation of the line joining the points (4, 9) and (-1, 0)

Answers

The equation of the line joining the points (4, 9) and (-1, 0) is y = 9/5 x + 9/5

How to find the equation of a line?

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope

b is the intercept

Determine the slope:

Slope = 0-9/-1-4
Slope = -9/-5
Slope = 9/5

Determine the y-intecept

0 = 9/5(-1) + b

b = 9/5
Hence the equation of the line is y = 9/5 x + 9/5

Learn more on equation of a line here: https://brainly.com/question/13763238

Simplify the following expression. 23 + 13 + 63 × 63 ÷ 6 =

Answers

Answer:

Here is the answer

Step-by-step explanation:

Need help ASAP due today! I will give brainlisted for correct answer!

Answers

Answer: 15.

Step-by-step explanation: To find the slope, you need to use rise/run which is done below if you need a visual look at what I'm saying.  Before we use rise/run, we need two points on the line.  We'll use (2, 80), and (6, 140).  We need to go 60 up and 4 to the right to make the points meet.  Going up or down is the rise and left or right is the run.  Our rise/run is 60/4 or 15 when you divide.  Therefore, 15 is your slope for this equation of a line.

Have a great day! :)

Please Expand the following y( y + 2)

Answers

Answer:

[tex]y^{2} + 2y[/tex]

Step-by-step explanation:

y times y is [tex]y^{2}[/tex]

2 times y is 2y

Factorise fully 21a-7a²

Answers

-7(a-3)a

hope it helps...!!!!


PLEASE HELP ASAP


Reginald Wallace's gross weekly salary is $515. His weekly federal withholding is $55. The Social Security tax is 6.2% of the first $97,500 he earns. The Medicare tax is 1.45% of gross pay. The state tax is 1.5% of gross pay. Each week he pays $12.40 for medical insurance. How much is deducted from Reginald's weekly wages for state tax and Medicare tax?​

Answers

Answer:

$15.20

Step-by-step explanation:

Had the same question last year and found the answer in some flashcards. You can browse the question too.

A cylinder has a diameter of 6 cm and a height of 3 cm. What is the surface area of the cylinder? Enter your answer, in exact form, in the box.

Answers

If the diameter and height of the cylinder are 6 cm and 3 cm. Then the surface area of the cylinder is 56.55 square cm.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A cylinder has a diameter of 6 cm and a height of 3 cm.

Then the surface area of the cylinder will be

[tex]\rm SA = \pi d h[/tex]

We have

d = 6 cm

h = 3 cm

Then the surface area will be

[tex]\rm SA = \pi \times 6 \times 3 \\\\SA = 56.55[/tex]

More about the cylinder link is given below.

https://brainly.com/question/3692256

#SPJ1

How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)

Answers

Answer:

1265 i think

Step-by-step explanation:

add 11 15 times

Answer:165

Step-by-step explanation:

Find the measure of ∠b.



A. 110∘
B. 102∘
C. 111∘
D. 121∘

Answers

Answer:

110 :)

Step-by-step explanation:

Triangle total angle measurement: 180

Now lets solve!

28 + 42 + ? = 180

70 + ? = 180

Now we have to subtract!!

180 - 70 = 110

Have an amazing day!!

Please rate and mark brainliest!!

Sum of all angles of triangle =180


28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110

I WILL MARK BRAINLIEST
Is an antacid polar or non-polar?

Answers

Answer:

Antacid tablets react with water but not oil so its polar

Find the area of the square.





pls help!!

Answers

Answer:

Area of square: 9/16 m²

Step-by-step explanation:

We are given:

Side length of square: 3/4 meters

The area of the square is the side multiplied by the same side. Therefore,

⇒ Area of square: (3/4) × (3/4)⇒ Area of square: (3/4)²

Using the exponents property, [(a/b)² = (a²/b²)]:

⇒ Area of square: (3²/4²)⇒ Area of square: (9/16) m²

Therefore, the area of the square is 9/16 m².

Answer:

[tex]\huge\boxed{\bf{Area_{square} = \frac{9}{16}m^2}}[/tex]

Step-by-step explanation:

Given : -

Slide length of square = [tex]\frac{3}{4}[/tex]m.

To Find : -

Area of square

Ans : -

$\sf \to Area_{square} = (side\:length)^2$

$\sf \to Area_{square} = (\frac{3}{4}m)^2$

$\sf \to Area_{square} = (\frac{3}{4}m*\frac{3}{4})$

$\sf \to Area_{square} = (\frac{3*3}{4*4}m^2)$

$\sf \to Area_{square} = \frac{9}{16}m^2$

[tex]\:[/tex]

$\huge\colorbox{skyblue}{BlackPain}$

un classeur contient des feuilles de couleurs différents les deux tiers des feuilles sont blanches le un sixieme des feuilles sont bleues et 12 feuilles restantes sont jaunes determiner le nombre des feuilles dans le classeur

Answers

Answer:

Step-by-step explanation:

bonjour :

soit  x  le nombre des feuilles dans le classeur

les deux tiers des feuilles sont blanches veut dire : (2/ 3)x

un sixieme des feuilles sont bleues veut dire : (1/6)x

on compose cette équation       :    (2/ 3)x + (1/6)x +12 = x

rsolvont cette équation : multiplions les deux membres par : 6

4x+x+72 =6x

4x-6x+x+72=6x-6x

-x+72=0

x=72

verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72

Odds in favor of drawing a face card

Answers

Answer:

y blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah blah

12 face cards

->12/52

=3/13

Differentiate y = tan²x from first principle​

Answers

Answer:

[tex]y'=2sec^2(x)tan(x)[/tex]

Step-by-step explanation:

if 8 pieces are 220 calories how many calories is 1 piece

Answers

Step-by-step explanation:

8 pieces = 220 colories

1 piece = 220/8 = 27.5 calories

Answer:

27.5

Step-by-step explanation:

8 divided by 220 = 27.5

Sorry about the fisrts time i put the 8 in frunt and 220 in the back so it was all back werds Sorry about that

And Hope This Helps

A circle with radius of 1 cm sits inside a 11 cm x 12 cm rectangle.
What is the area of the shaded region?

Answers

Answer:

Hope the picture will help you.................

distribute to create an equivalent expression with the fewest symbols possible 1/5(15+10k)=

Answers

Answer:

[tex]3+2k[/tex]

Step-by-step explanation:

[tex]\frac{1}{5}(15+10k)=\frac{1}{5}(15)+\frac{1}{5}(10k)=3+2k[/tex]

Answer:

3 + 2k

Step-by-step explanation:

Given that:

⅕ (15+10k)

Using the distributive property which is:

a × (b + c) = a × b + a × c

Which also means: Remove Parentheses

Thus we have:

⅕ (15+10k)

⇒ ⅕ × 15+⅕ ×10k

⇒ ¹⁵⁄₅ + ¹⁰ᵏ⁄₅

⇒ 3 + 2k

Hence, the answer to equivalent expression is 3 + 2k.

Kavinsky

Help picture below problem 9

Answers

Answer:

i think the answer might be E.

the answer is A option that is Angle M

Write the equation of the line through the points (-6, -19) and (2, 5).

Answers

Answer:

y = 3x - 1

Step-by-step explanation:

The slope of a line passing through the two points

P = (x1. y1) and Q = (x2, y2) is given by

m= (y2-y1)/(x2-x1)

We have that x1= -6, y1= -19, x2= 2, y2= 5

m=3

Now, the y-intercept is b=y1 - mx1 (or b= y2 - mx2, the result is the same).

b= -19-(3)(-6)

b= -1

y = 3x - 1

Rewrite the expression ^3 square root of x^8 using rational exponents.

Answers

Answer:

X^8/3

Step-by-step explanation:

When transforming radical expressions to rational exponents, the radicand (8) becomes the numerator of the rational exponent. And the index, or root (3) of the radical becomes the denominator of the rational exponent.

Evaluate the expression 5p for p=2

Answers

Answer:

10

Step-by-step explanation:

when p=5

substituting p=5 into 5p.

5p = 5×2 =10

[tex]\sqrt{50} +\sqrt{18}[/tex]

Answers

Answer:

8 × square root of 2

Step-by-step explanation:

50 is 25 × 2 and we take 5 outside of the root and were left with 2 inside.

18 is 9 × 2 and we take the 9 outside of the root so it becomes 3 with 2 left inside the root.

then we just find the sum

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