Answer:Exact Form: 1/2
Step-by-step explanation:
Example 1
The school district designed a district-wide end-of-course exam for math. Last year, 330 students took the exam. A random sample of exam scores, shown below, were chosen to represent the entire group.
85, 92, 65, 85, 65, 85, 77, 92, 92, 66, 77, 92, 77, 77, 65, 85
What is the median?
What is the mean?
What is the mode?
What is the range?
Answer:
Step-by-step explanation:
Mode=77&92&85 (mode is most common number)
Mean= 85+92+65+85+65+85+77+92+92+66+77+92+77+77+65+85=1277
1277/16=79.8 = 80 (Mean is add all numbers and divide how many there is.)
Range=92-65=27 (Range is highest number take away lowest number)
Median: 65,65,65,66,77,77,77,77,85,85,85,85,92,92,92,92
so median is 81 (put numbers in order and find the middle number. if order is even add two numbers in middle and divide by two. If order is odd, find ONE number.)
Final answer:
The median of the sample exam scores is 81, the mean (or average) is 75.75, the mode is bimodal with values 85 and 92, and the range is 27.
Explanation:
Measures of Central Tendency and Variability
To determine the median of the provided exam scores, we must first arrange the scores in ascending order and then find the middle value. With 16 scores, the median will be the average of the 8th and 9th values in this ordered list. For the mean, we add all the scores together and then divide by the total number of scores. The mode is the score that occurs most frequently. The range is calculated by subtracting the smallest score from the highest score.
Calculating the Median
Arranged Scores: 65, 65, 65, 66, 77, 77, 77, 77, 85, 85, 85, 85, 92, 92, 92, 92 Median: (77 + 85)/2 = 81Calculating the Mean
Sum of Scores = 85 + 92 + 65 + 85 + 65 + 85 + 77 + 92 + 92 + 66 + 77 + 92 + 77 + 77 + 65 + 85 = 1277 Mean: 1277 / 16 = 79.81Determining the Mode
The Mode: 77, 85 and 92Finding the Range
Range: 92 - 65 = 27Half of a number q is 14 written as a equation
Answer:
q/2=14
Step-by-step explanation:
Half of q is q/2
We know that it is 14
So, q/2=14
how to express quantities as a simplified fraction $45 out of $100
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
Step 1: Simplify
[tex]\frac{45}{100}[/tex]
[tex]\frac{45 / 5}{100/5}[/tex]
[tex]\frac{9}{20}[/tex]
Answer: [tex]\frac{9}{20}[/tex]
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
fraction $45 out of $100means 45/100
the common factors that go into both 45 and 100 is 5
hence divide 45 and 100 by 5
[tex]\frac{45/5}{100/5}[/tex]
= [tex]\frac{9}{20}[/tex]
What would be the answer of my fractions
9 1/2 + 4 3/5=
Answer:
14[tex]\frac{1}{10}[/tex] or [tex]\frac{141}{10}[/tex]
Step-by-step explanation:
Turn your fractions into improper and make them have the same denominator
[tex]\frac{95}{10}[/tex]+[tex]\frac{46}{10}[/tex]=[tex]\frac{141}{10}[/tex]
Leave it as is or simplify to 14 [tex]\frac{1}{10}[/tex]
Answer:
14 1/10
Step-by-step explanation:
Make it to improper fraction
9 1/2 would be 19/2
and 4 3/5 = 23/5
Then to add u have to make the denominators common:
19/2 + 23/5
Both goes common denominator with 20
To make it 20:
(19 × 10/2 ×10) + (23 ×4/5×4)
190 / 20 + 92 / 20
Add those (190 + 92) / 20
282 / 20
Make it to the simplest form:
141 / 10
Then make it mixed fraction:
14 1/10
Marcus has 824 marbles and wants to put marbles into 5 bags to give as gifts. Marcus knows he cannot divide the marbles evenly, but he wants to use as many of the marbles as possible, while making sure there is the same amount in each bag. How many marbles will be in each bag Please Explain.
Answer:
there will be 164 marbles in each bag
Step-by-step explanation:
The question is simply asking you to divide the total number of marbles by five; for each bag. 824/5= 164.8 and 164.8 rounded down; (underline means important), is 164 marbles.
Answer:
164
Step-by-step explanation:
- Write each expression as a multiple of a power of 10:
a. 0.04
b. 0.072
c. 0.0000325
d. Three thousandths
e. 23 hundredths
f. 729 thousandths
g. 41 millionths
Answer:
To write the following expressions as a multiple of a power of 10 you need to take each of the numbers and raise them to the power of 10.
An easy way to do this is to find the decimal point and move it over one spot to the right.
a. 0.04- move the decimal one to the right and you get that 0.04^10=00.4.
b. 0.072-move the decimal to the right one spot you get 0.072^10=00.72.
c. 0.0000325-move your decical to get 0.0000325^10=00.000325.
d. 0.003-move the decimal to get 0.003^10=00.03 or three hundredths.
e. 0.23-move your decimal to get 0.23^10=2.3 or two and three tenths.
f. 0.729-move you decimal to the right to get 0.729^10=07.29 or seven and twenty-nine hundredths.
g. 0.000041- move your decimal to the right to get 0.000041^10=00.00041 or forty-one hundred thousandths.
Hope this helps ;)
To write the expression as a multiple of a power of 10 ; we express the decimals in scientific notation :
0.04 :
Two decimal points to the left ;0.04 = [tex] 4 \times 10^{-2}[/tex]
0.072 :
3 decimal points to the left ;0.072 = [tex] 7.2 \times 10^{-3}[/tex]
0.0000325 :
Two decimal points to the left ;0.04 = [tex] 3.25 \times 10^{-5}[/tex]
Three thousandth = 0.003 :
3 decimal places to the left0.003 = [tex] 3 \times 10^{-3}[/tex]
23 hundredths = 0.023:
2 decimal places to the left0.023 = [tex] 2.3 \times 10^{-2}[/tex]
729 thousandths = 0.00729 :
3 decimal places to the left0.00729 = [tex] 7.29 \times 10^{-3}[/tex]
41 millionths = 0.0000041
6 decimal places to the left0.0000041 = [tex] 4.1\times 10^{-6}[/tex]
Hence, the scientific representation.
Learn more : https://brainly.com/question/15370209
Tony is at a car rental service to rent a car. There is an administration fee of $50 to rent a car and then it costs $20 for each day he has the car. Write an expression for the total
cost of renting a car at this particular car rental service.
Answer:
20x+50
Step-by-step explanation:
Let x represent the number of days he has the car
20x+50
It is 20x, because it costs 20 dollars for each day he has the car, and +50, because there is a fee, regardless of how many days he has the car.
Hope this helps!
Four more than five times a number is two less than the number
make it into an algebraic expression
Answer:
4+5x<x
Step-by-step explanation:
four more than is saying addition so youd add the 4 and the 5x together. the less than is referring to the less than sign. and the number is referring to x.(;
Expand.
Your answer should be a polynomial in standard form.
(x - 2)(x+2) =
Answer:
[tex]\large\boxed{x^2-4}[/tex]
Step-by-step explanation:
Here we have a Difference of Two Squares:
[tex](a-b)(a+b)=a^2-b^2[/tex]
[tex]\therefore (x - 2)(x+2)=x^2-4[/tex]
Once the standard form of a polynomial is when terms are ordered from the biggest exponent to the lowest exponent,
The polynomial in standard form is [tex]x^2-4[/tex]
Solve the equation:
x^3 + x^2 – 20x=0
Answer: x=0
Step-by-step explanation:
What is -x^2 if x=-2
Answer:
-4
Step-by-step explanation:
plug in -2
-(-2)^2 = -4
4. You substitute the x with -2, which means the problem is -(-2^2).
In triangle ABC, angle C is a right angle. Find the value of the trig function indicated. Find tan A if c = 17 and a = 8
Answer:
Step-by-step explanation:
Final answer:
To find tan A in a right-angled triangle where the sides are given, first use Pythagoras' theorem to find the missing side, then apply the definition of tangent as the ratio of the opposite to the adjacent side, resulting in tan A = 1.875.
Explanation:
In triangle ABC, where angle C is a right angle, and we are given that c = 17 (hypotenuse) and a = 8 (adjacent to angle A), the task is to find tan A. Since we are dealing with a right-angled triangle, we can use Pythagoras' theorem to find the length of side b (opposite to angle A). The theorem states a² + b² = c². Given a = 8 and c = 17, we can find b:
b² = 17² - 8² = 289 - 64 = 225, thus b = 15.
The tangent of an angle in a right-angled triangle is given by the opposite side divided by the adjacent side. Therefore, tan A = b/a = 15/8. Hence, tan A for this triangle equals 1.875.
Four horses ran in a race
Bart finished third
Dee finished ahead of Bart and caper
Air finished ahead of caper
Air finished behind dee
Which horse won the race?
Answer:
Dee won
Step-by-step explanation:
Using < to mean "finished ahead of ", we are given ...
B = 3
D < B
D < C
A < C
D < A
Dee finished ahead of Air, Bart, and Caper, so Dee won the race.
_____
The order of finish must be D, A, B, C.
Josh decided to rent an SUV for a family trip he was planning. On the way
back from his trip, Josh rear-ended another vehicle. Unless he purchased
Josh will have to pay for damages to both vehicles out of his own
pocket.
A. uninsured motorist coverage
B. no-fault accident insurance
c. a collision damage waiver
D. relital-equipment insurance
a collision damage waiver
Josh have to use Collison Damage waiver.
What is Insurance?Managing your risk is possible with insurance. You purchase protection against unforeseen financial losses when you purchase insurance. If something unpleasant happens to you, the insurance company pays you or someone else of your choosing.
Collision damage waiver (CDW), often known as car rental insurance, releases a car renter from responsibility for all or some accident-related damage to a rental car.
If you are struck by a driver without auto insurance, you are protected by uninsured motorist coverage.
No fault insurance can assist in paying your medical costs and lost wages in the event of a covered accident, regardless of who was at fault.
So, Josh have to use Collison Damage waiver.
Learn more about Insurance here:
https://brainly.com/question/9414644
#SPJ7
Is area a function of the radius ? Is radius a function of area?
Answer: The area (A) of a circle is a function of its radius (r) and is given by the function A = f(r) = πr2.
Step-by-step explanation: google help
The area is a function of the radius and the radius is a function of the area.
Is the area a function of the radius?
For a circle of radius R, we can write the area as:
A = pi*R^2
So we can write the area in terms of the radius, meaning that yes, the area is a function of the radius of a circle.
Is the radius a function of the area?If we take the above equation and we isolate R, we get:
R = √(A/pi)
So you can also write the radius in terms of the area, meaning that the radius is also a function of the area.
If you want to learn more about circles, you can read:
https://brainly.com/question/25306774
At a store 30 pieces of candy cost a total of $2.40 each piece of candy cost the same amount what is the total cost of 4 pieces of candy
Answer:
0.32
Step-by-step explanation:
First you divide 2.40 by 30 and then it gives you the cost of each individual piece of candy.then you multiply 4 by that amount.
What value does the 1 represent in the number 4,105.8
Answer:
100/Hundreds
Step-by-step explanation:
4 is the thousands -> 4000
1 is the hundreds -> 100
0 is the tens -> 0
5 is the ones -> 6
8 is the tenths -> 0.8
Answer: 100
Answer:
hundreds place
Step-by-step explanation:
When a number is 3 places to the left of the decimal, then it is in the hundreds place. Same thing if it is 3 places to the right of the decimal, only it'll be in the hundredths.
HELPPPPPP asap
Which of these expressions can be used to calculate the monthly payment for
a 30-year loan for $195,000 at 6.6% interest, compounded monthly?
Answer:
$195P00*0.0055(1+0.0055)^360
____________________________
(1+0.0055)^360-1
Step-by-step explanation:
Tell whether the expression is positive or negative without evaluating.
1/12÷(−1/4)
Answer:
negative
Step-by-step explanation:
the answer will be negative because one fraction is negative and the other is positive. there is nothing to cancel out the negative sign
Find the interest. All rates are annual interest rates. Principal $1,000. Rate 8.5 percent Time 3 year
Answer:
interest is $255
Step-by-step explanation:
Answer:$255
Step-by-step explanation:
Principal(p)=$1000
Rate(r)=8.5%
Time(t)=3years
Simple interest(SI)=?
SI=(pxrxt)/100
SI=(1000x8.5x3)/100
SI=25500/100
SI=$255
Bonnie ran 1/4 mile, Olga ran 3/4 mile, Gracie ran
5/4 miles, and Maria ran 2/4 mile. How much
farther, f, did Gracie run than Bonnie and
Maria combined, c?
Answer:
2/4
Step-by-step explanation:
Bonnie and Maria combined = 1/4 + 2/4 = 3/4
Gracie run = 5/4
=> How much farther, f, did Gracie run than Bonnie and Maria combined
= 5/4 - 3/4 = 2/4
So Gracie run 2/4 more than Bonnie and Maria combined
Answer:
2/4 mile.
Step-by-step explanation:
Given:
Db = 1/4 mile
Do = 3/4 mile
Dg = 5/4 mile
Dm = 2/4 mile
Dt = Db + Dm
= 1/4 + 2/4
= 3/4 mile
= Dg - Dt
= 5/4 - 3/4
= 2/4 mile.
What does X equal? WILL GIVE BRAINLIEST!
Answer:it is 18
Step-by-step explanation:
You do 40=2x+4 then do 40-4 and get 36 then 36/2 is 18
7m plus 8 equals 71
How do u solve
Answer: [tex]m=9[/tex]
Step-by-step explanation:
Step 1: Subtract 8 from both sides: [tex]7m+8-8=71-8[/tex]
[tex]7m=63[/tex]
Step 2: Divide both sides by 7: [tex]7m/7=63/7[/tex]
Get your answer: [tex]m=9[/tex]
Carol, the band director, tracked how many minutes each saxophone player practiced last week. She found that Sven practiced for 30 minutes, Li Mihn practiced for 45 minutes, Wendy practiced for 90 minutes, Thomas practiced for 75 minutes, and Gabriel practiced for 60 minutes. Find the mean length of practice time.
The mean length of practice time will be equal to 60 minutes.
What is a mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Given data:-
She found that Sven practised for 30 minutes, Li Mihn practised for 45 minutes, Wendy practised for 90 minutes, Thomas practised for 75 minutes, and Gabriel practised for 60 minutes
The mean will be calculated as:-
M = ( 30+45+90+75+60) / 5
M = 60 minutes
Therefore mean length of practice time will be equal to 60 minutes.
To know more about mean follow
https://brainly.com/question/968894
#SPJ2
Help!!ASAP ..
Factor completely.
Y^3+6y+8
Answer: The expression is prime and can't be factored with rational numbers.
Step-by-step explanation:
Answer:
I think you meant y^2 + 6y + 8
that is (y + 4)(y + 2)
Step-by-step explanation:
y^3 + 6y + 8 stays the same and cannot be factored
The weight, in pounds, of each wrestler on the high school wrestling team at the beginning of the season is listed below.
178 142 112 150 206 130
B. What is the mean weight of the wrestlers?
Answer:
(178+142+112+150+206+130) /6
A weatherman collected data on snow accumulation. A line of best fit was computed. The equation for the line is: y = 1.5x + 0.125. Which BEST interprets the slope of the linear model?
A) The snow is accumulating at 1.5 inches every hour.
B) The snow is accumulating at 1 inch every 1.5 hours.
C) The snow is accumulating at 1 inch every 0.125 hours.
D) The snow is accumulating at 1.5 inches every 0.125 hours.
Answer:
Option A) The snow is accumulating at 1.5 inches every hour.
Step-by-step explanation:
The general form of the equation of the line is y = mx + c
where m is the slope or rate of change
For the given equation y = 1.5x + 0.125
Where y is The snow is accumulation and x is number of hours
So, comparing the given equation to the general form
∴ m = 1.5 which represents the The snow accumulation per hour
Which mean every one hour the snow accumulation is 1.5 inches.
According to the previous the answer is option A
A) The snow is accumulating at 1.5 inches every hour.
Answer:
The correct answer is A. The snow is accumulating at 1.5 inches every hour.
Step-by-step explanation:
Let's evaluate the given linear equation, this way:
y = 1.5x + 0.125, where:
y represents the total inches of snow accumulated after x hoursx represents the number of hours the weatherman collected data0.125 that represents the constant value, no matter how many hours the weatherman collects data, this value will not change at all1.5 that represents the ratio of change or slope in inches of snow accumulated every hourTherefore, options B, C, and D are not true. The correct answer is A. The snow is accumulating at 1.5 inches every hour.
If f(x) =4x^2 + 1 and g(x) =x2 -5, find (f+g)(x)
The value of [tex](f+g)(x)[/tex] is [tex]5 x^{2}-4[/tex]
Explanation:
Given that the functions [tex]f(x)=4 x^{2}+1[/tex] and [tex]g(x)=x^{2}-5[/tex]
We need to determine the value of [tex](f+g)(x)[/tex]
The value of [tex](f+g)(x)[/tex] can be determined by substituting the value of [tex]f(x)[/tex] and [tex]g(x)[/tex] and simplifying the terms.
Thus, let us assign [tex]f(x)=4 x^{2}+1[/tex] in the function [tex](f+g)(x)[/tex], we have,
[tex]4 x^{2}+1+g(x)[/tex]
Now, let us assign [tex]g(x)=x^{2}-5[/tex] in the function [tex](f+g)(x)[/tex], we get,
[tex]4 x^{2}+1+x^{2}-5[/tex]
Grouping the like terms, we have,
[tex]4 x^{2}+x^{2}+1-5[/tex]
Adding the like terms, we get,
[tex]5 x^{2}-4[/tex]
Hence, the value of [tex](f+g)(x)[/tex] is [tex]5 x^{2}-4[/tex]
what is the ratio of the number of cavities to the volume of soda consumed could be represented by cavities/cm?
Answer:
If the ratio is cavities to volume, you need cavities/V where V is some sort of volume. cm^3 is a volume.
Step-by-step explanation:
Can you please show me what 56%/43% is?
Answer: 1.3
Step-by-step explanation:
Step 1: convert to decimal
56% = 56/100 = 0.56
43% = 43/100 = 0.43
Step 2; divide the values
0.56/0.43= 1.3
I hope this helps.