When the weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6, the sample variance is D. 2.33.
How to calculate the variance?It should be noted that in Mathematics, the variance simply means the average squared deviation of the mean.
From the information, the weights of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. Therefore, the sample variance will be illustrated thus:
N = number =7
Sum of the numbers = 28
Mean = 28 / 7 = 4
Sample variance will be:
= (4 - 4)² + (2 - 4)² + (5 -4)² + (4 - 4)² +(5 - 4)² +(2 -4)² + (6 - 5)²
= 14 / 6
= 2.33
Therefore, the variance is 2.33.
Learn more about variance on:
brainly.com/question/10687815
#SPJ1
Find the distance between two numbers on a number line. Write your answer as a decimal-2.2,8.4 the distance between two numbers is
The distance between these two numbers on a number line is equal to -10.6.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.
In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.
Now, we can determine the distance by taking the difference between both values as follows:
Distance = -2.2 - 8.4
Distance = -10.6.
Read more on number line here: brainly.com/question/17230085
#SPJ1
The sum of the first 333 terms of a geometric series is 171171171 and the common ratio is \dfrac23
3
2
start fraction, 2, divided by, 3, end fraction.
What is the first term of the series?
The first term of the geometric progression will be 81.
What is geometric progression?When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.
Given that the common ratio of the geometric series is ( 2 / 3 ) and the sum of the first four terms is 171.
The first term of the geometric series will be calculated as:-
[tex]S_n = a_1\dfrac{(r^n-1)}{r-1}[/tex]
[tex]171 = a_1\dfrac{(\dfrac{2}{3}^3-1)}{\dfrac{2}{3}-1}[/tex]
a₁ = ( 171 x 9 ) / 19
a₁ = 9 x 9
a₁ = 81
Therefore, the first term of the geometric progression will be 81.
To know more about geometric progression follow
https://brainly.com/question/15562660
#SPJ1
A given line passes through the points
(
−
2
,
15
)
and
(
6
,
−
5
)
. What is the equation of a line that is perpendicular to the given line that passes through the point
(
5
,
−
5
)
? Write your answer in slope-intercept form.
Answer:
hggssssssssssssssssssss
Directions: Solve each problem. Show all of your work.
1) Maribel has seven piles of three slices of pizza and seven slices left over. Bruno has four
groups of five slices of pizza and two slices left over. Who has more pizza? Write an
expression. Draw a diagram and then solve.
A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction.
Maribel has :
total slice of pizza left = 3 x7 +7 = 28 slice.
Bruno has :
total slice of pizza left = 4x 5 + 2 = 22 slice.
Since Maribel has More Pizza .
What is a fraction ?A fraction is a portion of a larger whole. The number is expressed in arithmetic as a quotient, which is the numerator divided by the denominator. Both are integers in a simple fraction. A complex fraction contains a fraction in either the numerator or the denominator. A proper fraction has a numerator that is less than the denominator.Fractions are an important foundation for learning more advanced mathematics. As a student's first introduction to abstraction in mathematics, fractions provide the best introduction to algebra in elementary and middle school.To learn more about : Fraction
Ref : https://brainly.com/question/20323470
#SPJ13
For f(x) = √x and g(x) = x + 9, find the following functions.
a. (f o g)(x) =
(Simplify your answer.)
b. (g o f)(x) =
(Simplify your answer.)
c. (f o g)(7) =
(Simplify your answer.)
d. (g o f)(7) =
(Simplify your answer.)
Show your work below.
Part a
[tex](f \circ g)(x)=f(g(x))=\sqrt{x+9}[/tex]
Part b
[tex](g \circ f)(x)=g(f(x))=\sqrt{x}+9[/tex]
Part c
[tex](f \circ g)(7)=\sqrt{7+9}=4[/tex]
Part d
[tex](g \circ f)(7)=\sqrt{7}+9[/tex]
Select the values that make the inequality y < 4 true.
(Numbers written in order from least to greatest going across.) .
Answer:
-4 -1 1 3.9 3.99
Step-by-step explanation:
The number can be anything that is less than the number 4.
Hope this helps! :)
The values which satisfy the inequality y < 4 are - 4, - 1, 1, 3, 3.9. 3.99, 3.999.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
An inequality y < 4 is given.
This states that the variable y is strictly less than 4 it could be 3.999999.. but not 4.
Then the value that makes the inequality true are,
- 4, - 1, 1, 3, 3.9. 3.99, 3.999,
If the inequality was y ≤ 4 then 4 could have included 4 only but not 4.001.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ2
PLEASE HELP ME ASAP
Answer:
C is the correct graph.
Step-by-step explanation:
Since (0, 0) satisfies the inequality, we draw a dashed line and then shade in the region that has the origin.
find the image of the point A(2,3) rotating about the point (0,0) through plus 90 degree
Answer:
3,-2
Step-by-step explanation:
3,-2
40 POINTS
The table shows the distance, y, a greyhound dog can travel (in feet) in x seconds.
Time, x (seconds) Distance, y (feet)
0 0
5 220
10 440
15 660
Based on the information in the table, which equation can be used to represent the relationship between time and the distance a greyhound dog can travel?
The equation that can be used to represent the proportional relationship between time and the distance a greyhound dog can travel is:
y = 44x.
What is a direct proportional relationship?A direct proportional relationship is a function in which the output variable is found with the multiplication of the input variable and the constant of proportionality, as follows:
y = kx.
In which k is the constant of proportionality, also representing the rate between the output and the input for any pair of (input, output) except (0,0).
From the table of distances and time given in this problem, the constant is found as follows:
k = 220/5 = 440/10 = 660/15 = 44.
Hence the constant is of 44 and the relation is given by:
y = 44x.
More can be learned about proportional relationships at https://brainly.com/question/10424180
#SPJ1
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Find the product. Write your answer as a mixed number in simplest form.
5 × 2 =
=
Answer: 9 755/9
Step-by-step explanation:
given- a statement
to find-evaluate
soulition-
4 2/9 x 2 4/9
38/9 x 22/9
836/81
9 755/9
the quotient of 9660 and 460
Answer:
21-- 9660 / 460 = 21
Answer:
9660/460 = 21
Step-by-step explanation:
3. Consider drawing a hand of five cards. What is the probability that:
a. The first card is a king.
The probability that the first card is a king is 0.08.
Which is probability?
Probability is a synonym for potential. It is a field of mathematics that examines how random events happen. From zero to one, the value is stated. To forecast the likelihood of events, probability has been introduced in mathematics. The likelihood that something will occur is essentially what is meant by probability. This is the fundamental theory of probability, which is also used to calculate the probability distribution, and it is from it that you will discover the likelihood of various outcomes in a random experiment.
A deck of cards contains 52 cards.
Sample space = 52
there are 4 kings in a deck of cards.
Therefore the probability that the first card is a king = 4/52
=0.0769 approximately = 0.08
To learn more about probability click on the link below:
https://brainly.com/question/13604758
#SPJ9
A principle of $1500 is invested at 7.25% interest compounded annually how much will the investment be worth at five years
Answer: $2128.52
Step-by-step explanation:
[tex]1500(1+.0725)^{5}[/tex]
Rotate point P counterclockwise about the origin by the given angle. State the coordinates of P'.
P(4,2); 90°
Check the picture below.
Estimate the quotient of 35 ÷ 0.7.
3.5
5
50
70
Answer:
your answer would be 50.
Step-by-step explanation:
Answer: 3.5
Step-by-step explanation: 0.7 rounds to 10, and 35 divided by 10 is 3.5
Please Help Geometry
Answer:
your answer is correct
Step-by-step explanation:
since the quadrilaterals are similar then corresponding angles are congruent.
∠ NKL ≡ ∠ ZWX ≠ ∠ YZW ← not true
∠ LMN ≡ ∠ XYZ ≠ ∠ ZWX ← not true
--------------------------------------------------
the ratios of corresponding sides are in proportion , that is
[tex]\frac{KL}{MN}[/tex] = [tex]\frac{WX}{YZ}[/tex] ← true
[tex]\frac{kl}{yz}[/tex] = [tex]\frac{LM}{XY}[/tex] ≠ [tex]\frac{LM}{ZW}[/tex] ← not true
Answer:
Your answer is correct!
Step-by-step explanation:
I'm just answering so you can give the other person brainliest <3
A small business published a report with the equivalent hourly wages of all their employees. select the box plot that represents the given data. all values are in $ per hour. 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 29, 48
Answer: .
Step-by-step explanation:
An architect is building a model for her project propasal. In the model 3 cm equals 20 ft. If the length of the model is 61 cm how long will the building be?round if nessasary.
Answer: 406.67 ft
Step-by-step explanation:
(20x60)/3
1220/3
= about 406.66667
= 406.67
The distance between Town A and Town
B on a map is 15.6 cm. If the scale is 1 cm =
12 miles, what is the actual distance
between towns?
Answer:
187.2
Step-by-step explanation:
if the scale is 1:12 then you would need to multiply 12 by the 15.6 which gets you 187.2 miles.
Which of the following is equivalent to 57x + 19y + 5x?
57x + 24xy
57x + 5x + 19y
57x(19y + 5x)
5x(57x + 19y)
HELP PLS ASAP
Answer:
57x + 5x + 19y by the commutative property for addition.
Each marble bag sold by alan's marble company contains 6 orange marbles for every 5 yellow marbles. if a bag has 40 yellow marbles, how many orange marbles does it contain?
Answer:
48 orange marbles
Step-by-step explanation:
[tex] \frac{6}{5} = \frac{x}{40} [/tex]
[tex]5x = 240[/tex]
[tex]x = 48[/tex]
Solve for k.
2k 3k +4
k=
Answer:
incomplete question
help me please help me
Step-by-step explanation:
it is very similar to do the manual division of numbers.
5x² - 18x - 15 ÷ x - 4 =
so, we are starting on the left, dividing 5x² by x.
5x²/x = 5x
5x² - 18x - 15 ÷ x - 4 = 5x
then we multiply (x - 4) by 5x and subtract the result from the left part. and then we pull down the next term
5x² - 18x - 15 ÷ x - 4 = 5x
- 5x² -20x
---------------
0 2x - 15
and again, we take the left term and divide by x :
2x/x = 2
5x² - 18x - 15 ÷ x - 4 = 5x + 2
and again we multiply (x - 4) by 2 and subtract the result. and, if there still is one, we pull down the next term.
5x² - 18x - 15 ÷ x - 4 = 5x + 2
- 5x² -20x
---------------
0 2x - 15
- 2x - 8
--------------------
0 -7
there is no more term to pull down, so we are finished.
there is a remainder in the last line unequal to 0.
this becomes therefore -7/(x - 4).
so, the total result is
(5x² - 18x - 15) ÷ (x - 4) = 5x + 2 - 7/(x - 4)
2.
the same thing. we are now dividing the left terms by 3x, and then multiply that result every time with (3x - 2), subtract this abd pull the next term down until there is no more term to be pulled.
6x³ - 16x² + 17x - 6 ÷ 3x - 2 = 2x² - 4x + 3
- 6x³ - 4x²
---------------
0 -12x² + 17x
- -12x² + 8x
-----------------------
0 9x - 6
- 9x - 6
----------------------------
0 0
there is no remainder in the last line, so the result is
(6x³ - 16x² + 17x - 6) ÷ (3x - 2) = 2x² - 4x + 3
I need help pleaseee
Answer: Degree of Polynomial: 12
Step-by-step explanation:
Select the correct answer.
Which expression is equivalent to this polynomial?
4x²²+27
A.(2x + 3√/3i)(2x - 3√/3i)
B.(2x + 9) (2z -3i)
C. (2x + 3√3)²
D.(2x + 3√3)(2x - 3√/3)
None of the expressions is equivalent to the given polynomial.
What is a polynomial?
A polynomial is a mathematical statement that solely uses the operations of addition, subtraction, multiplication, and positive-integer powers of variables. It is made up of indeterminates (also known as variables) and coefficients. Numerous branches of mathematics and science use polynomials. For instance, they are used to define polynomial functions, which show up in contexts ranging from basic chemistry and physics to economics and social science, and they are used in calculus and numerical analysis to approximation other functions. Polynomial equations are used to encode a wide range of problems, from simple word problems to complex scientific problems. In higher mathematics, polynomials are used to build algebraic varieties and polynomial rings, two fundamental ideas in algebra and algebraic geometry.
None of the given expressions is equivalent to the given polynomial.
To know more about a polynomial, click on the link
https://brainly.com/question/1379486
#SPJ9
Is -24.5 bigger than 26
Answer:
89
Step-by-step explanation:
Answer:
NO
Step-by-step explanation:
is having -$50 bigger than having $50??
PLEASE HELP i only have 20 points...
Answer:
I would say corresponding angles are converse
Step-by-step explanation:
I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding
pls help me with my assignment surds
Answer:
4-square root 2/2
Step-by-step explanation:
Nora spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.4°F. Between 9am and noon, the temperature increased by 7.6°F. Between noon and 3pm, the temperature went up 13.1°F. Between 3pm and 6pm, the temperature dropped 1.2°F. What was the temperature at 6pm?
As per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
As given in the question,
The decimal value of the temperature at 6 pm was 7.1°F
Nora's temperature recording chart in winter can be tabulated as follows:
Time Change in Temperature (°F) Temperature Reading (°F)
9 am ----- -12.4
12 noon +7.6 -4.8
3 pm +13.1 +8.3
6 pm -1.2 +7.1
Calculation by way of addition / subtraction of decimal is as follows:
-12.4°F +7.6°F = -4.8°F (increase in temperature from 3 pm to 6 pm)
-4.8°F + 13.1°F = 8.3°F (increase in temperature from 3 pm to 6 pm)
8.3°F - 1.2°F = 7.1°F (drop in temperature from 3 pm to 6 pm)
Overall change in temperature from 9 am to 6 pm is 19.5°F (increment)
Therefore, as per given data of recording of increasing and decreasing of temperature during different day times , the temperature at 6pm is 7.1°F.
Learn more about temperature here
brainly.com/question/11464844
#SPJ1
Please help and thanks!!! :))
Step-by-step explanation:
the same scale factor has to apply to all sides.
we see for the left vertical side that for C it is 3 units long, for D it is 2 units long.
so, the scale factor is
3/2 = 1.5
to go from D to C we have to multiply all lengths by 1.5.