Answer: 22,040/30= 734.666666667
Step-by-step explanation:
As per linear equation, the average daily balance on the given credit calendar is $716.17.
What is a linear equation?A linear equation is an equation where the highest degree of the variable is one.
Given, the daily balances for the given 30 days are $640, $640, $640, $640, $640, $640, $640, $640, $765, $765, $765, $765, $765, $820, $820, $820, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720, $720.
Therefore, the total balance in the given 30 days period is = [$640 × 8 + $765 × 5 + $820 × 3 + $720 × 14] = $21485.
Now, the average daily balance = $\(\frac{21485}{30}\) = $716.17
Learn more about a liner equation here: https://brainly.com/question/14089804
#SPJ2
What is the value of x?
Answer:
x = 27 units
Step-by-step explanation:
39 / ( 39+ 26) = x / (x+18)
x = 27
Use fraction models to solve two and three sevenths plus three and two fourths equals blank.
five and twenty six twenty eighths
five and six twenty eighths
six and twenty six twenty eighths
five and five elevenths
Answer:
Five and twenty six twenty eighths.
Step-by-step explanation:
Start with writing the fractions in numbers:
\(2\frac{3}{7} +3\frac{2}{4}\)
The 2 next to the first fraction is considered a whole number therefore we can say:
\(\frac{2}{1} *\frac{7}{7} =\frac{14}{7}\) then, \(\frac{14}{7} + \frac{3}{7} =\frac{17}{7}\)
\(2\frac{3}{7} =\frac{17}{7}\)
The 3 is also considered a whole number therefore:
\(\frac{3}{1} *\frac{4}{4} =\frac{12}{4}\) then, \(\frac{12}{4} +\frac{2}{4} =\frac{14}{4}\)
\(3\frac{2}{4} =\frac{14}{4}\)
We got our 2 fractions without whole numbers now which makes it easier to add them up however they have different denominators meaning we can't add them.
\(\frac{17}{7} +\frac{14}{4}\) not possible to add up.
We have to find a common factor, we will do this by looking at our times tables and realizing that 7x4= 28 and 4*7= 28. This will ensure both dominators are the same.
\(\frac{17}{7} *\frac{4}{4} =\frac{68}{28}\)
\(\frac{14}{4} *\frac{7}{7} =\frac{98}{28}\)
Now we got both fractions with equal denominators which means we can add them up as you would with normal numbers:
\(\frac{68}{28} +\frac{98}{28} =\frac{166}{28}\)
We need to make sure to simplify the resultant fraction now, we know that 28*5= 140 and 28*6= 168, we will use 5 as our whole unit since it fits (168 is greater than 166 therefore we can't use that):
\(\frac{166}{28} =5\frac{26}{28}\) (this is the answer on the answer choices)
Now just simplify 26 over 28:
\(5\frac{26}{28}=5\frac{13}{14}\)
This gives us our final answer of 5 and thirteen fourteenths however judging from the answer choices our answer will be five and twenty six twenty eighths.
Find an equation for the tangent plane to the surface z = 2y² - 2² at the point P(ro, yo, zo) on this surface if zo=yo = 1.
The equation for the tangent plane to the surface z = 2y² - 2x² at the point P(ro, yo, zo) = (1, 1, 1) on the surface is z = 4x + 4y - 4.
To find the equation for the tangent plane at point P(1, 1, 1), we need to determine the normal vector to the surface at that point. The normal vector is perpendicular to tangent plane and provides the direction of the normal to the surface.
First, we find the partial derivatives of the surface equation with respect to x and y:
∂z/∂x = -4x
∂z/∂y = 4yAt the point P(1, 1, 1), plugging in the values gives:
∂z/∂x = -4(1) = -4
∂z/∂y = 4(1) = 4
The normal vector is obtained by taking the negative of the coefficients of x, y, and z in the partial derivatives:
N = (-∂z/∂x, -∂z/∂y, 1) = (4, -4, 1)
Using the normal vector and the point P(1, 1, 1), we can write the equation for the tangent plane in the point-normal form:
4(x - 1) - 4(y - 1) + (z - 1) = 0
Simplifying, we get:4x - 4y + z - 4 = 0
Rearranging the terms, we obtain the equation for the tangent plane as:
z = 4x + 4y - 4
Therefore, the equation for the tangent plane to the surface z = 2y² - 2x² at the point P(1, 1, 1) on the surface is z = 4x + 4y - 4.
Learn more about equation of tangent here
https://brainly.com/question/6617153
#SPJ12
A die was rolled 50 times with the results given in Table 8.10. score frequency 2 3 1 5 9 4 5 6 8 7 11 Table 8.10 a Calculate the mean. b Find the median. c What is the mode?
The mean of the numbers in Table 8.10 is 5.2.The median of the numbers in Table 8.10 is 5.The mode of the numbers in Table 8.10 is 5
What are the measures of central tendency?The measures of central tendency are statistical tools used to find the “center” or average of a given set of data. The three main measures of central tendency: mean, median and mode.
The mean is known as the average of a set of numbers. To calculate the mean of the numbers given in Table 8.10, add up all of the numbers (2 + 3 + 1 + 5 + 9 + 4 + 5 + 6 + 8 + 7 + 11) and divide by the total number of rolls (50). The mean of the numbers in Table 8.10 is 5.2.
The median is considered as the middle number of a set of numbers arranged in numerical order. To find the median of the numbers in Table 8.10, first arrange the numbers in numerical order (1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 11) and then find the middle number. The median of the numbers in Table 8.10 is 5.
The mode is considered as the number that appears the most often in a set of numbers. The mode of the numbers in Table 8.10 is 5, since it appears twice, while the other numbers appear only once.
For more questions related to mode,
https://brainly.com/question/30891252
#SPJ1
Which of the following inequalities are true? 4 < -8 8 < -4 -8 < -4 -8 > -4
Answer: The third option is true, -8<-4
Step-by-step explanation:
Negative four is greater than negative eight because it is closer to zero on the number line
Find the length of the third side of a triangle that has a hypotenuse of 15m and a leg of 12m
Answer:
9m
Step-by-step explanation:
3x3 determinant of -2, 3, 8 6, 7, 1 4, 5, 9
Look at this graph: 18 What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integen Viden
Based on the graph, the slope of this line is equal to 2/3.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided in the graph, we can logically deduce the following data points on the line:
Points on x-axis = (2, 5).
Points on y-axis = (6, 8).
Substituting the given data points into the slope formula, we have the following;
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (8 - 6)/(5 - 2)
Slope, m = 2/3.
Read more on slope here: brainly.com/question/3493733
#SPJ1
Solve. 1/2(4x + 2/5) = 4/5
Answer:
\(\frac{1}{2}(4x + \frac{2}{5} ) = \frac{4}{5}\\2x + \frac{1}{5} = \frac{4}{5}\\\frac{10x + 1}{5} = \frac{4}{5}\\10x + 1= 4\\10x = 3\\x = \frac{3}{10}\)
Answer:
x = 3/10
Step-by-step explanation:
Given equation,
→ 1/2(4x + 2/5) = 4/5
Let's solve the problem,
→ 1/2(4x + 2/5) = 4/5
→ 2x + (1/5) = 4/5
→ 2x = (4/5) - (1/5)
→ x = (3/5) × (1/2)
→ [ x = 3/10 ]
Thus, the value is 3/10.
PLEASE HELP ASAP
18. A surveyor intends to create a bridge across a river. There is a tall tree on the other side of the river. He
measures a line down his side of the river for 125 feet. At each side of this line he uses his surveying
equipment to measure the angle to the tree on the other side of the river. At the beginning of the line, the
angle to the tree was 65°10', at the end of the line the angle to the tree is 60°10'. If he wants the bridge to go
from where he started his line to the tree, then how long will the bridge be?
The 125 feet long line and the angles 65°10', and 60°10' obtained from the surveying equipment gives the length of the bridge as approximately 1234.2 feet.
Which rule can be used to find the length of the bridge?Given;
Location of the tree = The other side of the river from the surveyor
Length of the line measured along the river, L = 125 feet
Angle to the tree from the start of the line = 65°10'
1° = 60'
10' = ((1/60)×10)° = (1/6)°
65°10' = (65 + 10/60)° = (65 + 1/6)°
Angle measured at the end of the line, E = 60°10'
Similarly;
E = 60°10' = (60 + 1/6)°
The interior angle, S, of the triangle formed by the tree and the line, at the start of the line is therefore;
Angle S = 180° - (65 + 1/6)° = (114+5/6)° (linear pair angles)
S = (114+5/6)°
From the angle sum property of a triangle, angle formed at the tree, T, is therefore;
T = 180° - ((114+5/6)° + (60 + 1/6)°) = 5°
According to the rule of sines, we have;
l/(sin T) = b/(sin E)
Where;
b = The length of the bridge
Which gives;
124/(sin 5°) = b/(sin (60 + 1/6)°)
b = (sin (60 + 1/6)°) × (124/(sin 5°)) ≈ 1234.2
The length of the bridge, b ≈ 1234.2 feetLearn more about the rule of sines here:
https://brainly.com/question/4372174
#SPJ1
helppppppppppppppppp
Answer:
32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
b^2=h^2-p^3
b^2=1600-576
b=√1024
therefore b= 32
Suppose that 10 unique names are put into a hat and drawn at random without replacement. How many different ways can you draw all of the names from the hat? Remember that "without replacement" means that the names are not returned to the hat after they are chosen.
10! way we can draw all of the names from the hat. Using Permutation
if we have n object, and as we know that arrangement given by = n!. (Permutation)
Hereafter taking each unique name, we will arrange in raw, so we can say this problem is equivalently permutation problem
So we can say the way of drawing all names can be done in
10! Way.
In mathematics, the permutation of a set is loosely the arrangement of its members in a sequence or linear order, or the rearrangement of its elements if the set is already ordered. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
Learn more about Permutation here: https://brainly.com/question/12468032
#SPJ4
ssume that you have a sample of n1 = 8, with the sample mean X overbar 1= 42, and a sample standard deviation of S1 = 4, and you have an independent sample of n2=15 from another population with a sample mean of X overbear 2 = 34 and a sample standard deviation of S2 = 5.
What assumptions about the two populations are necessary in order to perform the pooled-variance t test for the hypothesis H0: μ1=μ2 against the alternative H1: μ1>μ2 and make a statistical decision?
Choose the correct answer below.
A.It is necessary to assume that the populations from which you are sampling have equal population means and positive standard deviations.
B.It is necessary to assume that the populations from which you are sampling have negative t Subscript STATtSTAT test statistics and unequal sample means.
C. It is necessary to assume that the populations from which you are sampling have independent normal distributions and equal variances.
D. It is necessary to assume that the populations from which you are sampling have unequal variances and equal sizes.
(c) is the correct option , The assumption necessary to perform the pooled-variance t-test for the given hypothesis is that the populations from which the two samples,
are drawn have independent normal distributions and equal variances. This assumption is required for the validity of the test, as it allows the use of the pooled variance estimate in calculating the test statistic.
In addition to the above assumption, it is also important to verify the conditions for the t-test, such as random sampling, normality of the sampling distribution, and independence of the samples.
These assumptions ensure the validity of the test and the accuracy of the conclusions drawn from it.
To know more about estimated click here
brainly.com/question/28338974
#SPJ11
d= sqrt ( 2 )^ 2 +( 12 )^ 2
Answer:
d = 146
Step-by-step explanation:
Answer:
d=146
Step-by-step explanation:
the sqrt of 2(2) is 4 which can be simplified to 2 and the 12 raised to the second power is 144 so 2+144 is 146
15 points!! Please help!
What do I do if I have a money problem but the answer is like this, 17.199?
(They don’t say to round)
Answer:
You need to round thats how you are supossed to do those equasions. I had that before too your supossed to round.
sorry for bad spelling
Step-by-step explanation:
Past experience
if two lines are parallel and one has a slope of -1/7, what is the slope of the other line?
-1/7, since parallel lines have equal slopes.
Five friends shared 1/5 kilogram of nuts equally. What fraction of a kilogram of nuts did each friend eat?
Answer:
they each got 1/5.there are five friends, if they share 1/5 then each gets 1/5 of nuts.
The fraction of the kilogram of nuts did each friend eat should be considered as the 1/5.
Calculation of the fraction:Since Five friends shared 1/5 kilogram of nuts equally
So here the fraction should be the same as shared by the five friends i.e. 1 by 5.
Therefore, The fraction of the kilogram of nuts did each friend eat should be considered as the 1/5.
Learn more about fraction here: https://brainly.com/question/17792889
HELP ME PLEASE I HAVE BEEN ON THIS QUESTION FOR 5 YEARS NOW WHATS THE ANSWER???????
2+1=
(if y’all dont get the joke-)
1. When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to ________ and SD equal to _________.
When raw scores from normal distribution are converted to standard scores, the resulting distribution has a mean equal to 0 and SD equal to 1.
A standard score (also known as a z-score) represents the number of standard deviations from the mean a data point is.
Standard scores, which are typically found for normally distributed data, are used in statistics to compare an observation to the population mean and standard deviation, and they can be used to identify how unusual or common a particular value is. The formula for calculating standard scores is as follows:
z = (X - μ) / σ
Where: X is the raw score
μ is the population mean
σ is the population standard deviation
For normally distributed data, the resulting distribution has a mean equal to 0 and a standard deviation (SD) equal to 1.
Therefore, when converting raw scores from a normal distribution to standard scores, one can find the number of standard deviations a score is above or below the mean of the distribution.
To know more about distribution visit:
https://brainly.com/question/29664127
#SPJ11
PLEASE HELP ME NO ONES ANSWERING THIS IVE BEEN ASKING OVER AND OVER OMG
Answer:
See the attached image.
WHO HAS READ THE PEARL, BY JOHN STEINBECK( IN NEED OF HELP FAST) EMMERGENCY
Answer:
me me me omg
Step-by-step explanation:
plz help me guys... :(
Answer:
(-1,8)
Step-by-step explanation:
The easiest method would be using substitution:
\(\left \{ {{-10x+3y=34} \atop {y = -8x}} \right.\)
Substitute the second equation into the first one:
\(-10x + 3(-8x)=34\)
\(-10x+-24x = 34\)
\(-34x = 34\)
\(x = -1\)
Use the x-value to get the y-value:
\(y = -8*-1\)
\(y = 8\)
Final answer:
(-1,8)
Find the solution of the system of equations. 4x - y = 11 2.r – 4y = –26
Explanation:
We can use the substitution method to solve this system.
First we clear y from the first equation:
\(\begin{gathered} 4x-y=11 \\ 4x-11=y \\ y=4x-11 \end{gathered}\)Then we replace this expression into the second equation:
\(\begin{gathered} 2x-4y=-26 \\ 2x-4(4x-11)=-26 \end{gathered}\)Solve for x:
\(\begin{gathered} 2x-16x+44=-26 \\ -14x=-26-44 \\ x=\frac{-26-44}{-14}=\frac{-70}{-14}=5 \end{gathered}\)And with x = 5 we replace it into the first equation and solve for y:
\(y=4x-11=4\cdot5-11=20-11=9\)Answer:
The solution is (5, 9)
What is the measure of DCF?
E
D
75°
54°
F.
The measure of ZDCF is
degrees.
angle DCF = angle DCE + angle ECF
angle DCF = 75° + 54°
angle DCF = 129°
Measure of < DCF is \(129^{0}\).
What is an angle?A figure which is formed by two rays or lines that shares a common endpoint is called an angle.
According to the figure
< DCE = \(75^{0}\)
< ECF = \(54^{0}\)
Measure of < DCF = < DCE + < ECF
= \(75^{0}\) + \(54^{0}\)
= \(129^{0}\)
Hence, measure of < DCF is \(129^{0}\).
Find out more information about angle here
https://brainly.com/question/7116550
#SPJ2
Tomas buys a bag of 5 peaches for 3. 55. Write ans solve an equation to find how much money, m, Tomas has left
Answer:
Step-by-step explanation:
so if x is the money he had in the beginning, than
m=x-5(3.55)
m=x-$17.75
a state representative wants to know how voters in his district feel about enacting a statewide smoking ban in all enclosed public places, including bars and restaurants. his staff mails a questionnaire to 800 voters in his district. of the 800 questionnaires mailed, 152 were returned. of the 152 returned questionnaires, 101 support the enactment of a statewide smoking ban in all enclosed public places. the statistic is:
The statistic is 101 out of 152 (66.45%) which the questionnaires returned from the 800 mailed support the enactment of a statewide smoking ban in all enclosed public places.
To calculate this statistic, I first found the total number of questionnaires returned, which was 152. I then found the number of questionnaires that supported the ban, which was 101. To calculate the percentage, I then divided the number of questionnaires that supported the ban (101) by the total number of questionnaires returned (152), which gave me the answer of 66.45%. This percentage shows that a majority of the voters in the state representative's district support the enactment of a statewide smoking ban in all enclosed public places.
To know more about statistics refer to the link brainly.com/question/23091366
#SPJ4
are the two nonadjacent angles formed by two intersecting lines. these angles are congruent.
The statement is true. If the two nonadjacent angles are formed by two intersecting lines, then the angles are congruent
When two non-adjacent angles are formed with two intersecting lines then they are called opposite angles.
There are some properties of nonadjacent angles:
When two lines intersect, they will form A + C and B + D, with two pairs of opposite angles.There is another name for opposite angles called Vertical angles which are also formed by two intersecting lines.These angles are always congruent, which defines that they are of the same size. If two angles are vertical angles, then they have equal measures.The Angles that emerge from the same vertex are known as adjacent angles.To learn about nonadjacent angles:
https://brainly.com/question/10926577
#SPJ4
Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
To learn more about Pythagorean theory, refer to:
https://brainly.com/question/343682
#SPJ4
Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
is it 72 bc its an isosceles triangle ?
Answer:
x = 72°y = 36°Step-by-step explanation:
from the figure we understand that it is an isosceles triangle, the angles at the base are the same, so they are two angles of 72 °
find y
180 - 72 - 72 = 36
Answer:
x = 72.
y = 36.
Hope you could get an idea from here.
Doubt clarification - use comment section.
The product of 9 and the sum of a number x and 4 is 6
Answer:
9(x+4)= 6
Step-by-step explanation:
I could be wrong but im not sure