Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
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Solve the system of equation.
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
Equation 1: x + 3y = 17
Equation 2: -x + 2y = 8
Add Equation 2 to Equation 1:
x + 3y = 17
+ -x + 2y = 8
5y = 25
Divide both sides by 5:
[tex]\sf \implies \dfrac{5y}{5}=\dfrac{25}{5}[/tex]
[tex]\sf \implies y=5[/tex]
which combinations hold the same amount of liquid as an 8-pint bowl
Four grade levels need equal time for indoor recess and the gym is available for three hours . How many hours of recess will each grade level receive
When Tim was 5, he got 20 birthday gifts. When Tim was 13, he got 6 birthday
gifts. (Show your work)
a. What is the percent of change?
b. Is the change an increase or a decrease?
Answer:
A) 6.66% B) It's a decrease
(Hi! Hope this was helpful. Please tell me if you needed a different answer. Have a great day:)
time as 3 meters of yarn. How many centimeters of yarn does Tim have?
What is the value found using the linear approximation? ln(0.93) ≈
Answer:
I think its 0.9 I believe so
Help picture below problem 19
Answer:
9
Step-by-step explanation:
Because the 9 (by the power 12)/9 (by the power 12) becomes 9 (by the power 12) x (by the power -12). HEre 12 gets subtracted by -12 and now remains 1 so, 9 (by the power 1) is 9
Three same-sized cubes are glued together as shown below.
f the side length of each cube is 4 inches, what is the surface area of the figure?
A.
240 square inches
B.
192 square inches
C.
224 square inches
D.
288 square inches
Answer:
C
Step-by-step explanation:
the surface consists of
3 front squares
3 back squares
2 right side squares
2 left side squares
2 top squares
2 bottom squares
that means we have in total 14 squares.
one square is 4×4 = 16 in²
so the total surface area is
14 × 16 = 224 in²
solve for the missing side!
please be quick i will give brainlist
Answer:
15m
Step-by-step explanation:
You need to do the Pythagorean Theorem:
a^2 + b^2 = c^2
*(The ^ is meaning to a power or squared in this case)*
You are solving for c which is the hypothenuse!
12^2 + 9^2 = c^2
144+81 = c^2
225 = c^2 *(The opposite of squaring something is the square root)*
c= The square root of 225
That shall be simplified to 15
According to Pythagoras theorem
Base² + perpendicular ² = Hypotenuse ²
12² + 9² = H²
144 + 81 = H²
225 = H²
H = √225
H = 15
Hypotenuse = 15m
HOPE IT HELPS :)
6. За день туристы прошли 22 km. 3 часа они
шли со скоростью 4 km/h, а остальное рас-
стояние
со скоростью 5 km/h. Сколько вре-
мени туристы были в дороге?
Answer:
5 hoursStep-by-step explanation:
The question isThe tourists walked a distance of 22 km during a day.
The first 3 hours they walked with the speed of 4 km/h and the rest of the distance with the speed of 5 km/h.
What was the total time they walked.
----------------------
Let the time the tourists walked with 5 km/h is t, then we have the following equation for the total distance
3*4 + t*5 = 22Solve for t
12 + 5t = 225t = 22 - 125t = 10t = 2The total time was
3 + 2 = 5 hoursat a certain wedding, 14/25 of the guests were over 25 years old.
Rewrite the fraction in the sentence below as a percentage.
Answer:
56% of the guests were over 25 years old.
Step-by-step explanation:
To convert a fraction to a percentage, multiply the fraction by 100. So, 14/25 can be multiplied by 4 to get 56/100, which is the same as 56%.
show complete solution
Using proportions to solve for missing sides.
BCD~GEF, find BD.
Answer:
BD = 19
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so we have ...
BD/GF = BC/GE
(2x -7)/57 = (x +4)/51 . . . . use the values marked on the diagram
17(2x -7) = 19(x +4) . . . . . . . . multiply by 969
34x -119 = 19x +76 . . . . . eliminate parentheses
15x = 195 . . . . . . . . . add 119-19x
x = 13 . . . . . . . . . . divide by 15
BD = 2(13) -7 . . . . use the found value of x in the expression for BD
BD = 19
Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2.
Answer: 7lb
Step-by-step explanation:
The amount of gravel required cover each square feet of the garden obtained by dividing the total amount of gravel used and the total area of the garden is 7 lb
Total area of garden = 36 ft²
Total amount of gravel used = 252 lb
The amount of gravel used to cover each ft² of the garden can be calculated thus :
(Total amount of gravel used) ÷ (Total area of garden)
252 ÷ 36 = 7 lb
Therefore, the amount of gravel required to cover each square feet of the garden is 7 lb
Answer:
See below
Step-by-step explanation:
D o you want pounds / sq foot ?
252 lbs / 36 ft^2 = 7 pounds per square foot
two examples of likely and unlikely events in mathematics probability
Answer:
what's likely is times or Addition less like likely is subtraction or rounding
The pH of sea water is 7.6 and the PH of milk of magnesium is 10.5. 1.What are the hydrogen ion concentrations of each? 2.How many times great is the hydrogen ion concentration of the sea water than of milk of magnesium?
Answer:
2.5*10^-8 for sea water, 3.16*10^-11 for milk of magnesium, and 790 times greater
Step-by-step explanation:
We're trying to find the concentration of H+ in the solution using the pH, so
let's define pH first.
pH=-log(H+)
This equation can be re-written as
H+ = 10^(-pH), or H+ = 1/(10^pH)
The pH of sea water is 7.6, so the concentration of H+ in sea water is 10^(-7.6), which is about 2.5*10^-8
The pH of milk of magnesium is 10.5, so the concentration of H+ in milk of magnesium is 10^(-10.5), which is about 3.16*10^-11
To compare how much more the concentration of the hydrogen ion is, we just divide
(2.5*10^-8)/(3.16*10^-11) = 791, or 790 with sig figs.
30x³ + 10x²
Help me please
*basically you write the function in its simplest term where you cannot
simplify it further
So:
[tex]30x^3+10x^2 = 10(3x^3+x^2) = 10x^2(3x+1)[/tex]
Answer: [tex]30x^3+10x^2[/tex] when factorized ⇒ [tex]10x^2(3x+1)[/tex]
Hope that helps!
Calculating the Surface Area of Prisms
4 yd
2 yd
5 yd.
3 yd
3 yd.
Find the surface area of the prism above.
I need help please someone!!
360 yd
Multiply all numbers to get 360 yd
Explain the difference between yi and ŷi.
Answer:
Down:
Step-by-step explanation:
Terms in this set (23) The difference between the observed value of the dependent variable and the value predicted using the estimated regression equation; for the ith observation the ith residual is yi − ŷi. The analysis of variance table used to summarize the computations associated with the F test for significance.
WORTH 1 POINT
GIVING 15 POINTS AWAY
HELP PLS!!!!
Answer:
y = 29
Step-by-step explanation:
Since it is a vertical angle, both angles represented by the equations are equal. Meaning we can set them equal to each other and find y by simplifying.
4y-8 = 79+y
-79 -79
4y-87 = y
-4y -4y
-87 = -3y
Divided by -3
29 = y
Help picture below problem 4
Answer:
The answer is A
Step-by-step explanation:
A pentagon is a polygon that has 5 sides and 5 vertices.
Perform the indicated operation: (x3 – 3x + 1) – (x3 + 7 – 12x).
Answer:
[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right)=9x - 6[/tex]
Step-by-step explanation:
[tex]\left( x^{3}-3x+1\right) -\left( x^{3}+7-12x\right) = x^{3}-3x+1-x^{3}-7+12x[/tex]
[tex]= -3x+1-7+12x[/tex]
[tex]=9x - 6[/tex]
(QUICK!)Please answer this question, explain and show your work for brainliest! (systems of equations, either using elimination or substitution method!)
Answer:
Step-by-step explanation:
y = - 7x ......... (1)
- 14x - 2y = 0 ....... (2)
- 14x - 2y = 0 ⇒ y = - 7x
(1) and (2) are equivalent ⇒ system has infinitely many solutions
if a man is 6"2 in height and shrinks 3 inches how tall is he now?
Answer:
5"11
Step-by-step explanation:
6 foot 2 inches minus 3 inches is 5 foot 3 inches
Answer:
5'11
Step-by-step explanation:
[50 points!]
Find P (Freshman | Boy)
Hint:
P(A and B)/P(B)
Classroom of Students:
Boys Girls
Freshman 4 4 8
Sophomore 57 12
Junior 2 3 5
Senior 1 4 5
12 18
Reduce your fraction to lowest terms.
Enter the number that belongs in the green box.
Answer:
1/3
Explanation:
P(Freshman | Boy)
Freshman = 4Boy = 12⇒ Probability = Number of favorable outcomes ÷ Total number of possible outcomes
P(Freshman | Boy) = freshman/total boysP(Freshman | Boy) = 4/12P(Freshman | Boy) = 1/3Answer:
[tex]\sf \dfrac13[/tex]
Step-by-step explanation:
From the table:
Total number of Boys = 12Total number of students = 30Total number of Boys who are Freshman = 4[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]
[tex]\sf \implies P(Boy)=\dfrac{12}{30}[/tex]
[tex]\sf \implies P(Freshman \cap Boy)=\dfrac{4}{30}[/tex]
[tex]\begin{aligned}\sf P(Freshman|Boy) & = \sf\dfrac{P(Freshman \cap Boy)}{P(Boy)}\\\\ & = \sf\dfrac{4}{30} \div \dfrac{12}{30}\\\\ & = \sf\dfrac{4}{30}\times \dfrac{30}{12}\\\\ & = \sf \dfrac{4}{12}\\\\ & = \sf\dfrac{1}{3}\end{aligned}[/tex]
Instructions: Drag the correct term for
this definition.
The perpendicular bisectors of the
sides of a triangle intersect in a
point that is equidistant from the
vertices.
Answer:
The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.
If you can please give brainliest thank you <3
Step-by-step explanation:
Business mathematics.
Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?
Answer:
$6200
Step-by-step explanation:
2% of $5000 = $100
So that's a hundred dollars per week
12 weeks x $100 = $1200
$5000 (The original amount the first customer borrowed)
+ $1200 (The interest rate)
= $6200
(P.S. Please give me a brainliest if you can)
Sushil was thinking of a number. Sushil halves the number and gets an answer of 61.4. Form
an equation with x from the information.
X
[tex]\begin{equation}\text { Question: Find the value of } \frac{1}{1+x}+\frac{2}{1+x^{2}}+\frac{2^{2}}{1+x^{4}}+\ldots \cdot \frac{2^{100}}{1+x^{200}}\end{equation}[/tex]
[tex]\bold{Heya!}[/tex]
Your answer to this is:
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
→ EXPLANATION :-[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: (1)[/tex]
[tex]\sf{Apply \: rule:} \: (a) = a[/tex]
[tex]\sf{(1) = 1[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0} \: ^. \: 1[/tex]
[tex]\sf{\frac{1}{1 \: + \:1} = \frac{1}{2}[/tex]
[tex]\sf{\frac{2^1^0^0}{1 \: + \: x^2^0^0} ^.^ \: 1 \: = \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
[tex]\sf{= \frac{1}{2} \: + \frac{2}{1 \: + \: x^2} \: + \: \frac{1}{1 \: + \: x^4} \: + \: \frac{2^1^0^0}{1 \: + \: x^2^0^0}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
1. Mlla's cranbenyulce recipe uses 3 cups of water and 1 cup of cranberry concentrate.
Enter the percentage of the cranberry Juice recipe that is water.
126
Answer:
¾. because 3 out of 4 are water cups
Answer:
75%
Step-by-step explanation:
3 cups of water to 1 cup of cranberry concentrate.
So, 4 cups of ingredients.
The percentage of the cranberry juice that is water:
3 cups of water/4 cups of ingredients= 3/4.
To express 3/4 in percent, we multiply the fraction by 100%(percent).
[tex]\frac{3}{4}[/tex] * 100% = 75%
Hope this helps!
Please mark as brainliest!
